Abstract group data - 960.6453

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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': '96.176', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 20, 'aut_gen_orders': [4, 20, 2, 4, 2], 'aut_gens': [[1, 2, 8], [481, 386, 776], [481, 50, 249], [481, 2, 8], [1, 2, 249], [1, 2, 328]], 'aut_group': '1280.1114098', 'aut_hash': 1114098, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1280, 'aut_permdeg': 26, 'aut_perms': [1268996965360043111585076, 323069174139553071801580952, 2867823816883200, 363105886986139446374400, 443122713], 'aut_phi_ratio': 5.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 10, 2, 1], [3, 1, 2, 1], [4, 1, 1, 2], [4, 2, 1, 1], [4, 10, 2, 1], [5, 4, 1, 1], [6, 1, 2, 1], [6, 2, 2, 1], [6, 10, 4, 1], [8, 2, 2, 2], [8, 5, 2, 2], [8, 10, 1, 2], [10, 4, 1, 1], [10, 8, 1, 1], [12, 1, 2, 2], [12, 2, 2, 1], [12, 10, 4, 1], [15, 4, 2, 1], [16, 5, 4, 2], [16, 10, 2, 2], [16, 10, 4, 2], [20, 4, 1, 2], [20, 8, 1, 1], [24, 2, 4, 2], [24, 5, 4, 2], [24, 10, 2, 2], [30, 4, 2, 1], [30, 8, 2, 1], [40, 8, 2, 2], [48, 5, 8, 2], [48, 10, 4, 2], [48, 10, 8, 2], [60, 4, 2, 2], [60, 8, 2, 1], [120, 8, 4, 2]], 'aut_supersolvable': True, 'aut_tex': 'D_4\\times C_{10}:C_4^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '32.45', 'autcent_hash': 45, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': '40.12', 'autcentquo_hash': 12, 'autcentquo_nilpotent': False, 'autcentquo_order': 40, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 10, 2], [3, 1, 2], [4, 1, 2], [4, 2, 1], [4, 10, 2], [5, 4, 1], [6, 1, 2], [6, 2, 2], [6, 10, 4], [8, 2, 4], [8, 5, 4], [8, 10, 2], [10, 4, 1], [10, 8, 1], [12, 1, 4], [12, 2, 2], [12, 10, 4], [15, 4, 2], [16, 5, 8], [16, 10, 12], [20, 4, 2], [20, 8, 1], [24, 2, 8], [24, 5, 8], [24, 10, 4], [30, 4, 2], [30, 8, 2], [40, 8, 4], [48, 5, 16], [48, 10, 24], [60, 4, 4], [60, 8, 2], [120, 8, 8]], 'center_label': '12.2', 'center_order': 12, 'central_product': True, 'central_quotient': '80.50', 'commutator_count': 1, 'commutator_label': '10.2', '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': 6453, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['320.1063', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 10, 1, 2], [3, 1, 2, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 10, 1, 2], [5, 4, 1, 1], [6, 1, 2, 1], [6, 2, 2, 1], [6, 10, 2, 2], [8, 2, 2, 2], [8, 5, 4, 1], [8, 10, 2, 1], [10, 4, 1, 1], [10, 8, 1, 1], [12, 1, 4, 1], [12, 2, 2, 1], [12, 10, 2, 2], [15, 4, 2, 1], [16, 5, 8, 1], [16, 10, 4, 3], [20, 4, 2, 1], [20, 8, 1, 1], [24, 2, 4, 2], [24, 5, 8, 1], [24, 10, 4, 1], [30, 4, 2, 1], [30, 8, 2, 1], [40, 8, 2, 2], [48, 5, 16, 1], [48, 10, 8, 3], [60, 4, 4, 1], [60, 8, 2, 1], [120, 8, 4, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 209664, 'exponent': 240, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[8, 0, 4]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '240.200', 'hash': 6453, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 20, 'inner_gen_orders': [2, 4, 10], 'inner_gens': [[1, 2, 488], [1, 2, 296], [481, 674, 8]], 'inner_hash': 50, 'inner_nilpotent': False, 'inner_order': 80, 'inner_split': True, 'inner_tex': 'C_2^2\\times F_5', 'inner_used': [1, 2, 3], 'irrC_degree': 8, 'irrQ_degree': 32, 'irrQ_dim': 64, 'irrR_degree': 16, 'irrep_stats': [[1, 96], [2, 24], [4, 24], [8, 6]], 'label': '960.6453', 'linC_count': 512, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 18, 'linQ_degree_count': 8, 'linQ_dim': 22, 'linQ_dim_count': 32, 'linR_count': 32, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D20.C24', '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': 56, 'number_characteristic_subgroups': 52, 'number_conjugacy_classes': 150, 'number_divisions': 48, 'number_normal_subgroups': 96, 'number_subgroup_autclasses': 124, 'number_subgroup_classes': 168, 'number_subgroups': 452, 'old_label': None, 'order': 960, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 23], [3, 2], [4, 24], [5, 4], [6, 46], [8, 48], [10, 12], [12, 48], [15, 8], [16, 160], [20, 16], [24, 96], [30, 24], [40, 32], [48, 320], [60, 32], [120, 64]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 4], 'outer_gen_pows': [0, 1, 0], 'outer_gens': [[1, 2, 328], [1, 2, 249], [1, 242, 8]], 'outer_group': '16.10', 'outer_hash': 10, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 8, 'outer_perms': [5040, 120, 17], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 40, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 8, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 12], [4, 12], [8, 10], [16, 4], [32, 2]], 'representations': {'PC': {'code': 3516754116319422625618784317987934595047895018320048478050189319, 'gens': [1, 2, 4], 'pres': [8, -2, -2, -2, -2, -2, -2, -3, -5, 41, 1458, 15619, 4747, 3155, 91, 11852, 7860, 116, 5389, 7317, 141, 12558, 3606, 222, 12303, 12311]}, 'Perm': {'d': 40, 'gens': [21500512859311117443460429716950859648802885344, 110492733813783607158933221878033449701049600, 43455229233561799613698402252993948975417190400, 3, 64456867458545857752883064962188279661964641680, 85394088503566020130111494469380158604651590400, 106287907052032933057788425317175975147306438400, 6000]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 24], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{20}.C_{24}', 'transitive_degree': 480, '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: 143447907
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 6453, 'group_order': 960, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 143447969
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 6453, 'group_order': 960, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 480, 'size': 1}
  • id: 143447980
    {'aut_label': '2B', 'centralizer': '2.b1.a1', 'counter': 3, 'group_counter': 6453, 'group_order': 960, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 1, 'size': 2}
  • id: 143447991
    {'aut_label': '2C', 'centralizer': '10.d1.a1', 'counter': 4, 'group_counter': 6453, 'group_order': 960, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 652, 'size': 10}
  • id: 143448002
    {'aut_label': '2C', 'centralizer': '10.d1.b1', 'counter': 5, 'group_counter': 6453, 'group_order': 960, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 413, 'size': 10}
  • id: 143448013
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 6453, 'group_order': 960, 'label': '3A1', 'order': 3, 'powers': [7, 1, 7], 'representative': 640, 'size': 1}
  • id: 143448024
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 6453, 'group_order': 960, 'label': '3A-1', 'order': 3, 'powers': [6, 1, 6], 'representative': 320, 'size': 1}
  • id: 143448035
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 6453, 'group_order': 960, 'label': '4A1', 'order': 4, 'powers': [2, 9, 8], 'representative': 720, 'size': 1}
  • id: 143448046
    {'aut_label': '4A-1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 6453, 'group_order': 960, 'label': '4A-1', 'order': 4, 'powers': [2, 8, 9], 'representative': 240, 'size': 1}
  • id: 143447908
    {'aut_label': '4B', 'centralizer': '2.b1.a1', 'counter': 10, 'group_counter': 6453, 'group_order': 960, 'label': '4B', 'order': 4, 'powers': [2, 10, 10], 'representative': 241, 'size': 2}
  • id: 143447919
    {'aut_label': '4C', 'centralizer': '10.d1.b1', 'counter': 11, 'group_counter': 6453, 'group_order': 960, 'label': '4C', 'order': 4, 'powers': [2, 11, 11], 'representative': 173, 'size': 10}
  • id: 143447930
    {'aut_label': '4C', 'centralizer': '10.d1.a1', 'counter': 12, 'group_counter': 6453, 'group_order': 960, 'label': '4D', 'order': 4, 'powers': [2, 12, 12], 'representative': 892, 'size': 10}
  • id: 143447941
    {'aut_label': '5A', 'centralizer': '4.b1.a1', 'counter': 13, 'group_counter': 6453, 'group_order': 960, 'label': '5A', 'order': 5, 'powers': [13, 13, 1], 'representative': 384, 'size': 4}
  • id: 143447952
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 6453, 'group_order': 960, 'label': '6A1', 'order': 6, 'powers': [7, 2, 15], 'representative': 160, 'size': 1}
  • id: 143447963
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 6453, 'group_order': 960, 'label': '6A-1', 'order': 6, 'powers': [6, 2, 14], 'representative': 800, 'size': 1}
  • id: 143447965
    {'aut_label': '6B1', 'centralizer': '2.b1.a1', 'counter': 16, 'group_counter': 6453, 'group_order': 960, 'label': '6B1', 'order': 6, 'powers': [6, 3, 17], 'representative': 321, 'size': 2}
  • id: 143447966
    {'aut_label': '6B1', 'centralizer': '2.b1.a1', 'counter': 17, 'group_counter': 6453, 'group_order': 960, 'label': '6B-1', 'order': 6, 'powers': [7, 3, 16], 'representative': 641, 'size': 2}
  • id: 143447967
    {'aut_label': '6C1', 'centralizer': '10.d1.a1', 'counter': 18, 'group_counter': 6453, 'group_order': 960, 'label': '6C1', 'order': 6, 'powers': [6, 4, 19], 'representative': 12, 'size': 10}
  • id: 143447968
    {'aut_label': '6C1', 'centralizer': '10.d1.a1', 'counter': 19, 'group_counter': 6453, 'group_order': 960, 'label': '6C-1', 'order': 6, 'powers': [7, 4, 18], 'representative': 44, 'size': 10}
  • id: 143447970
    {'aut_label': '6C1', 'centralizer': '10.d1.b1', 'counter': 20, 'group_counter': 6453, 'group_order': 960, 'label': '6D1', 'order': 6, 'powers': [7, 5, 21], 'representative': 93, 'size': 10}
  • id: 143447971
    {'aut_label': '6C1', 'centralizer': '10.d1.b1', 'counter': 21, 'group_counter': 6453, 'group_order': 960, 'label': '6D-1', 'order': 6, 'powers': [6, 5, 20], 'representative': 61, 'size': 10}
  • id: 143447972
    {'aut_label': '8A1', 'centralizer': '2.d1.a1', 'counter': 22, 'group_counter': 6453, 'group_order': 960, 'label': '8A1', 'order': 8, 'powers': [9, 23, 22], 'representative': 120, 'size': 2}
  • id: 143447973
    {'aut_label': '8A-1', 'centralizer': '2.d1.a1', 'counter': 23, 'group_counter': 6453, 'group_order': 960, 'label': '8A-1', 'order': 8, 'powers': [8, 22, 23], 'representative': 840, 'size': 2}
  • id: 143447974
    {'aut_label': '8A-1', 'centralizer': '2.d1.b1', 'counter': 24, 'group_counter': 6453, 'group_order': 960, 'label': '8B1', 'order': 8, 'powers': [8, 25, 24], 'representative': 601, 'size': 2}
  • id: 143447975
    {'aut_label': '8A1', 'centralizer': '2.d1.b1', 'counter': 25, 'group_counter': 6453, 'group_order': 960, 'label': '8B-1', 'order': 8, 'powers': [9, 24, 25], 'representative': 841, 'size': 2}
  • id: 143447976
    {'aut_label': '8C1', 'centralizer': '5.a1.a1', 'counter': 26, 'group_counter': 6453, 'group_order': 960, 'label': '8C1', 'order': 8, 'powers': [8, 28, 29], 'representative': 436, 'size': 5}
  • id: 143447977
    {'aut_label': '8C-1', 'centralizer': '5.a1.a1', 'counter': 27, 'group_counter': 6453, 'group_order': 960, 'label': '8C-1', 'order': 8, 'powers': [9, 29, 28], 'representative': 676, 'size': 5}
  • id: 143447978
    {'aut_label': '8C-1', 'centralizer': '5.a1.a1', 'counter': 28, 'group_counter': 6453, 'group_order': 960, 'label': '8C3', 'order': 8, 'powers': [9, 26, 27], 'representative': 196, 'size': 5}
  • id: 143447979
    {'aut_label': '8C1', 'centralizer': '5.a1.a1', 'counter': 29, 'group_counter': 6453, 'group_order': 960, 'label': '8C-3', 'order': 8, 'powers': [8, 27, 26], 'representative': 916, 'size': 5}
  • id: 143447981
    {'aut_label': '8D1', 'centralizer': '10.b1.a1', 'counter': 30, 'group_counter': 6453, 'group_order': 960, 'label': '8D1', 'order': 8, 'powers': [8, 31, 30], 'representative': 629, 'size': 10}
  • id: 143447982
    {'aut_label': '8D-1', 'centralizer': '10.b1.a1', 'counter': 31, 'group_counter': 6453, 'group_order': 960, 'label': '8D-1', 'order': 8, 'powers': [9, 30, 31], 'representative': 869, 'size': 10}
  • id: 143447983
    {'aut_label': '10A', 'centralizer': '4.b1.a1', 'counter': 32, 'group_counter': 6453, 'group_order': 960, 'label': '10A', 'order': 10, 'powers': [13, 32, 2], 'representative': 96, 'size': 4}
  • id: 143447984
    {'aut_label': '10B', 'centralizer': '8.b1.a1', 'counter': 33, 'group_counter': 6453, 'group_order': 960, 'label': '10B', 'order': 10, 'powers': [13, 33, 3], 'representative': 193, 'size': 8}
  • id: 143447985
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 6453, 'group_order': 960, 'label': '12A1', 'order': 12, 'powers': [14, 8, 36], 'representative': 560, 'size': 1}
  • id: 143447986
    {'aut_label': '12A-1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 6453, 'group_order': 960, 'label': '12A-1', 'order': 12, 'powers': [15, 9, 37], 'representative': 400, 'size': 1}
  • id: 143447987
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 6453, 'group_order': 960, 'label': '12A5', 'order': 12, 'powers': [15, 8, 34], 'representative': 880, 'size': 1}
  • id: 143447988
    {'aut_label': '12A-1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 6453, 'group_order': 960, 'label': '12A-5', 'order': 12, 'powers': [14, 9, 35], 'representative': 80, 'size': 1}
  • id: 143447989
    {'aut_label': '12B1', 'centralizer': '2.b1.a1', 'counter': 38, 'group_counter': 6453, 'group_order': 960, 'label': '12B1', 'order': 12, 'powers': [14, 10, 39], 'representative': 81, 'size': 2}
  • id: 143447990
    {'aut_label': '12B1', 'centralizer': '2.b1.a1', 'counter': 39, 'group_counter': 6453, 'group_order': 960, 'label': '12B-1', 'order': 12, 'powers': [15, 10, 38], 'representative': 881, 'size': 2}
  • id: 143447992
    {'aut_label': '12C1', 'centralizer': '10.d1.b1', 'counter': 40, 'group_counter': 6453, 'group_order': 960, 'label': '12C1', 'order': 12, 'powers': [14, 11, 41], 'representative': 13, 'size': 10}
  • id: 143447993
    {'aut_label': '12C1', 'centralizer': '10.d1.b1', 'counter': 41, 'group_counter': 6453, 'group_order': 960, 'label': '12C-1', 'order': 12, 'powers': [15, 11, 40], 'representative': 45, 'size': 10}
  • id: 143447994
    {'aut_label': '12C1', 'centralizer': '10.d1.a1', 'counter': 42, 'group_counter': 6453, 'group_order': 960, 'label': '12D1', 'order': 12, 'powers': [15, 12, 43], 'representative': 92, 'size': 10}
  • id: 143447995
    {'aut_label': '12C1', 'centralizer': '10.d1.a1', 'counter': 43, 'group_counter': 6453, 'group_order': 960, 'label': '12D-1', 'order': 12, 'powers': [14, 12, 42], 'representative': 60, 'size': 10}
  • id: 143447996
    {'aut_label': '15A1', 'centralizer': '4.b1.a1', 'counter': 44, 'group_counter': 6453, 'group_order': 960, 'label': '15A1', 'order': 15, 'powers': [45, 13, 6], 'representative': 128, 'size': 4}
  • id: 143447997
    {'aut_label': '15A1', 'centralizer': '4.b1.a1', 'counter': 45, 'group_counter': 6453, 'group_order': 960, 'label': '15A-1', 'order': 15, 'powers': [44, 13, 7], 'representative': 832, 'size': 4}
  • id: 143447998
    {'aut_label': '16A1', 'centralizer': '5.a1.a1', 'counter': 46, 'group_counter': 6453, 'group_order': 960, 'label': '16A1', 'order': 16, 'powers': [26, 48, 50], 'representative': 775, 'size': 5}
  • id: 143447999
    {'aut_label': '16A-1', 'centralizer': '5.a1.a1', 'counter': 47, 'group_counter': 6453, 'group_order': 960, 'label': '16A-1', 'order': 16, 'powers': [27, 49, 51], 'representative': 147, 'size': 5}
  • id: 143448000
    {'aut_label': '16A-1', 'centralizer': '5.a1.a1', 'counter': 48, 'group_counter': 6453, 'group_order': 960, 'label': '16A3', 'order': 16, 'powers': [28, 53, 47], 'representative': 867, 'size': 5}
  • id: 143448001
    {'aut_label': '16A1', 'centralizer': '5.a1.a1', 'counter': 49, 'group_counter': 6453, 'group_order': 960, 'label': '16A-3', 'order': 16, 'powers': [29, 52, 46], 'representative': 55, 'size': 5}
  • id: 143448003
    {'aut_label': '16A1', 'centralizer': '5.a1.a1', 'counter': 50, 'group_counter': 6453, 'group_order': 960, 'label': '16A5', 'order': 16, 'powers': [29, 47, 53], 'representative': 535, 'size': 5}
  • id: 143448004
    {'aut_label': '16A-1', 'centralizer': '5.a1.a1', 'counter': 51, 'group_counter': 6453, 'group_order': 960, 'label': '16A-5', 'order': 16, 'powers': [28, 46, 52], 'representative': 387, 'size': 5}
  • id: 143448005
    {'aut_label': '16A-1', 'centralizer': '5.a1.a1', 'counter': 52, 'group_counter': 6453, 'group_order': 960, 'label': '16A7', 'order': 16, 'powers': [27, 50, 48], 'representative': 627, 'size': 5}
  • id: 143448006
    {'aut_label': '16A1', 'centralizer': '5.a1.a1', 'counter': 53, 'group_counter': 6453, 'group_order': 960, 'label': '16A-7', 'order': 16, 'powers': [26, 51, 49], 'representative': 295, 'size': 5}
  • id: 143448007
    {'aut_label': '16B1', 'centralizer': '10.b1.a1', 'counter': 54, 'group_counter': 6453, 'group_order': 960, 'label': '16B1', 'order': 16, 'powers': [26, 56, 57], 'representative': 774, 'size': 10}
  • id: 143448008
    {'aut_label': '16B-1', 'centralizer': '10.b1.a1', 'counter': 55, 'group_counter': 6453, 'group_order': 960, 'label': '16B-1', 'order': 16, 'powers': [27, 57, 56], 'representative': 146, 'size': 10}
  • id: 143448009
    {'aut_label': '16B-1', 'centralizer': '10.b1.a1', 'counter': 56, 'group_counter': 6453, 'group_order': 960, 'label': '16B3', 'order': 16, 'powers': [28, 54, 55], 'representative': 866, 'size': 10}
  • id: 143448010
    {'aut_label': '16B1', 'centralizer': '10.b1.a1', 'counter': 57, 'group_counter': 6453, 'group_order': 960, 'label': '16B-3', 'order': 16, 'powers': [29, 55, 54], 'representative': 54, 'size': 10}
  • id: 143448011
    {'aut_label': '16C1', 'centralizer': '10.d1.b1', 'counter': 58, 'group_counter': 6453, 'group_order': 960, 'label': '16C1', 'order': 16, 'powers': [28, 60, 61], 'representative': 702, 'size': 10}
  • id: 143448012
    {'aut_label': '16C-1', 'centralizer': '10.d1.b1', 'counter': 59, 'group_counter': 6453, 'group_order': 960, 'label': '16C-1', 'order': 16, 'powers': [29, 61, 60], 'representative': 890, 'size': 10}
  • id: 143448014
    {'aut_label': '16C-1', 'centralizer': '10.d1.b1', 'counter': 60, 'group_counter': 6453, 'group_order': 960, 'label': '16C3', 'order': 16, 'powers': [26, 58, 59], 'representative': 170, 'size': 10}
  • id: 143448015
    {'aut_label': '16C1', 'centralizer': '10.d1.b1', 'counter': 61, 'group_counter': 6453, 'group_order': 960, 'label': '16C-3', 'order': 16, 'powers': [27, 59, 58], 'representative': 462, 'size': 10}
  • id: 143448016
    {'aut_label': '16C1', 'centralizer': '10.d1.a1', 'counter': 62, 'group_counter': 6453, 'group_order': 960, 'label': '16D1', 'order': 16, 'powers': [27, 64, 65], 'representative': 223, 'size': 10}
  • id: 143448017
    {'aut_label': '16C-1', 'centralizer': '10.d1.a1', 'counter': 63, 'group_counter': 6453, 'group_order': 960, 'label': '16D-1', 'order': 16, 'powers': [26, 65, 64], 'representative': 891, 'size': 10}
  • id: 143448018
    {'aut_label': '16C-1', 'centralizer': '10.d1.a1', 'counter': 64, 'group_counter': 6453, 'group_order': 960, 'label': '16D3', 'order': 16, 'powers': [29, 62, 63], 'representative': 171, 'size': 10}
  • id: 143448019
    {'aut_label': '16C1', 'centralizer': '10.d1.a1', 'counter': 65, 'group_counter': 6453, 'group_order': 960, 'label': '16D-3', 'order': 16, 'powers': [28, 63, 62], 'representative': 943, 'size': 10}
  • id: 143448020
    {'aut_label': '20A1', 'centralizer': '4.b1.a1', 'counter': 66, 'group_counter': 6453, 'group_order': 960, 'label': '20A1', 'order': 20, 'powers': [32, 67, 9], 'representative': 48, 'size': 4}
  • id: 143448021
    {'aut_label': '20A-1', 'centralizer': '4.b1.a1', 'counter': 67, 'group_counter': 6453, 'group_order': 960, 'label': '20A-1', 'order': 20, 'powers': [32, 66, 8], 'representative': 912, 'size': 4}
  • id: 143448022
    {'aut_label': '20B', 'centralizer': '8.b1.a1', 'counter': 68, 'group_counter': 6453, 'group_order': 960, 'label': '20B', 'order': 20, 'powers': [32, 68, 10], 'representative': 49, 'size': 8}
  • id: 143448023
    {'aut_label': '24A1', 'centralizer': '2.d1.a1', 'counter': 69, 'group_counter': 6453, 'group_order': 960, 'label': '24A1', 'order': 24, 'powers': [37, 22, 71], 'representative': 40, 'size': 2}
  • id: 143448025
    {'aut_label': '24A-1', 'centralizer': '2.d1.a1', 'counter': 70, 'group_counter': 6453, 'group_order': 960, 'label': '24A-1', 'order': 24, 'powers': [36, 23, 72], 'representative': 920, 'size': 2}
  • id: 143448026
    {'aut_label': '24A1', 'centralizer': '2.d1.a1', 'counter': 71, 'group_counter': 6453, 'group_order': 960, 'label': '24A5', 'order': 24, 'powers': [35, 22, 69], 'representative': 200, 'size': 2}
  • id: 143448027
    {'aut_label': '24A-1', 'centralizer': '2.d1.a1', 'counter': 72, 'group_counter': 6453, 'group_order': 960, 'label': '24A-5', 'order': 24, 'powers': [34, 23, 70], 'representative': 760, 'size': 2}
  • id: 143448028
    {'aut_label': '24A-1', 'centralizer': '2.d1.b1', 'counter': 73, 'group_counter': 6453, 'group_order': 960, 'label': '24B1', 'order': 24, 'powers': [34, 24, 75], 'representative': 41, 'size': 2}
  • id: 143448029
    {'aut_label': '24A1', 'centralizer': '2.d1.b1', 'counter': 74, 'group_counter': 6453, 'group_order': 960, 'label': '24B-1', 'order': 24, 'powers': [35, 25, 76], 'representative': 441, 'size': 2}
  • id: 143448030
    {'aut_label': '24A-1', 'centralizer': '2.d1.b1', 'counter': 75, 'group_counter': 6453, 'group_order': 960, 'label': '24B5', 'order': 24, 'powers': [36, 24, 73], 'representative': 201, 'size': 2}
  • id: 143448031
    {'aut_label': '24A1', 'centralizer': '2.d1.b1', 'counter': 76, 'group_counter': 6453, 'group_order': 960, 'label': '24B-5', 'order': 24, 'powers': [37, 25, 74], 'representative': 281, 'size': 2}
  • id: 143448032
    {'aut_label': '24C1', 'centralizer': '5.a1.a1', 'counter': 77, 'group_counter': 6453, 'group_order': 960, 'label': '24C1', 'order': 24, 'powers': [36, 26, 79], 'representative': 516, 'size': 5}
  • id: 143448033
    {'aut_label': '24C-1', 'centralizer': '5.a1.a1', 'counter': 78, 'group_counter': 6453, 'group_order': 960, 'label': '24C-1', 'order': 24, 'powers': [37, 27, 80], 'representative': 596, 'size': 5}
  • id: 143448034
    {'aut_label': '24C1', 'centralizer': '5.a1.a1', 'counter': 79, 'group_counter': 6453, 'group_order': 960, 'label': '24C5', 'order': 24, 'powers': [34, 29, 77], 'representative': 356, 'size': 5}
  • id: 143448036
    {'aut_label': '24C-1', 'centralizer': '5.a1.a1', 'counter': 80, 'group_counter': 6453, 'group_order': 960, 'label': '24C-5', 'order': 24, 'powers': [35, 28, 78], 'representative': 756, 'size': 5}
  • id: 143448037
    {'aut_label': '24C-1', 'centralizer': '5.a1.a1', 'counter': 81, 'group_counter': 6453, 'group_order': 960, 'label': '24C7', 'order': 24, 'powers': [35, 27, 83], 'representative': 276, 'size': 5}
  • id: 143448038
    {'aut_label': '24C1', 'centralizer': '5.a1.a1', 'counter': 82, 'group_counter': 6453, 'group_order': 960, 'label': '24C-7', 'order': 24, 'powers': [34, 26, 84], 'representative': 836, 'size': 5}
  • id: 143448039
    {'aut_label': '24C-1', 'centralizer': '5.a1.a1', 'counter': 83, 'group_counter': 6453, 'group_order': 960, 'label': '24C11', 'order': 24, 'powers': [37, 28, 81], 'representative': 116, 'size': 5}
  • id: 143448040
    {'aut_label': '24C1', 'centralizer': '5.a1.a1', 'counter': 84, 'group_counter': 6453, 'group_order': 960, 'label': '24C-11', 'order': 24, 'powers': [36, 29, 82], 'representative': 36, 'size': 5}
  • id: 143448041
    {'aut_label': '24D1', 'centralizer': '10.b1.a1', 'counter': 85, 'group_counter': 6453, 'group_order': 960, 'label': '24D1', 'order': 24, 'powers': [34, 30, 87], 'representative': 69, 'size': 10}
  • id: 143448042
    {'aut_label': '24D-1', 'centralizer': '10.b1.a1', 'counter': 86, 'group_counter': 6453, 'group_order': 960, 'label': '24D-1', 'order': 24, 'powers': [35, 31, 88], 'representative': 85, 'size': 10}
  • id: 143448043
    {'aut_label': '24D1', 'centralizer': '10.b1.a1', 'counter': 87, 'group_counter': 6453, 'group_order': 960, 'label': '24D5', 'order': 24, 'powers': [36, 30, 85], 'representative': 37, 'size': 10}
  • id: 143448044
    {'aut_label': '24D-1', 'centralizer': '10.b1.a1', 'counter': 88, 'group_counter': 6453, 'group_order': 960, 'label': '24D-5', 'order': 24, 'powers': [37, 31, 86], 'representative': 21, 'size': 10}
  • id: 143448045
    {'aut_label': '30A1', 'centralizer': '4.b1.a1', 'counter': 89, 'group_counter': 6453, 'group_order': 960, 'label': '30A1', 'order': 30, 'powers': [45, 32, 14], 'representative': 32, 'size': 4}
  • id: 143448047
    {'aut_label': '30A1', 'centralizer': '4.b1.a1', 'counter': 90, 'group_counter': 6453, 'group_order': 960, 'label': '30A-1', 'order': 30, 'powers': [44, 32, 15], 'representative': 928, 'size': 4}
  • id: 143448048
    {'aut_label': '30B1', 'centralizer': '8.b1.a1', 'counter': 91, 'group_counter': 6453, 'group_order': 960, 'label': '30B1', 'order': 30, 'powers': [44, 33, 16], 'representative': 65, 'size': 8}
  • id: 143448049
    {'aut_label': '30B1', 'centralizer': '8.b1.a1', 'counter': 92, 'group_counter': 6453, 'group_order': 960, 'label': '30B-1', 'order': 30, 'powers': [45, 33, 17], 'representative': 33, 'size': 8}
  • id: 143448050
    {'aut_label': '40A1', 'centralizer': '8.e1.a1', 'counter': 93, 'group_counter': 6453, 'group_order': 960, 'label': '40A1', 'order': 40, 'powers': [66, 94, 22], 'representative': 24, 'size': 8}
  • id: 143448051
    {'aut_label': '40A-1', 'centralizer': '8.e1.a1', 'counter': 94, 'group_counter': 6453, 'group_order': 960, 'label': '40A-1', 'order': 40, 'powers': [67, 93, 23], 'representative': 936, 'size': 8}
  • id: 143448052
    {'aut_label': '40A-1', 'centralizer': '8.e1.b1', 'counter': 95, 'group_counter': 6453, 'group_order': 960, 'label': '40B1', 'order': 40, 'powers': [67, 96, 24], 'representative': 505, 'size': 8}
  • id: 143448053
    {'aut_label': '40A1', 'centralizer': '8.e1.b1', 'counter': 96, 'group_counter': 6453, 'group_order': 960, 'label': '40B-1', 'order': 40, 'powers': [66, 95, 25], 'representative': 937, 'size': 8}
  • id: 143448054
    {'aut_label': '48A1', 'centralizer': '5.a1.a1', 'counter': 97, 'group_counter': 6453, 'group_order': 960, 'label': '48A1', 'order': 48, 'powers': [77, 46, 99], 'representative': 67, 'size': 5}
  • id: 143448055
    {'aut_label': '48A-1', 'centralizer': '5.a1.a1', 'counter': 98, 'group_counter': 6453, 'group_order': 960, 'label': '48A-1', 'order': 48, 'powers': [78, 47, 100], 'representative': 87, 'size': 5}
  • id: 143448056
    {'aut_label': '48A1', 'centralizer': '5.a1.a1', 'counter': 99, 'group_counter': 6453, 'group_order': 960, 'label': '48A5', 'order': 48, 'powers': [79, 50, 112], 'representative': 179, 'size': 5}
  • id: 143447909
    {'aut_label': '48A-1', 'centralizer': '5.a1.a1', 'counter': 100, 'group_counter': 6453, 'group_order': 960, 'label': '48A-5', 'order': 48, 'powers': [80, 51, 111], 'representative': 167, 'size': 5}
  • id: 143447910
    {'aut_label': '48A-1', 'centralizer': '5.a1.a1', 'counter': 101, 'group_counter': 6453, 'group_order': 960, 'label': '48A7', 'order': 48, 'powers': [81, 52, 106], 'representative': 119, 'size': 5}
  • id: 143447911
    {'aut_label': '48A1', 'centralizer': '5.a1.a1', 'counter': 102, 'group_counter': 6453, 'group_order': 960, 'label': '48A-7', 'order': 48, 'powers': [82, 53, 105], 'representative': 35, 'size': 5}
  • id: 143447912
    {'aut_label': '48A-1', 'centralizer': '5.a1.a1', 'counter': 103, 'group_counter': 6453, 'group_order': 960, 'label': '48A11', 'order': 48, 'powers': [83, 51, 101], 'representative': 39, 'size': 5}
  • id: 143447913
    {'aut_label': '48A1', 'centralizer': '5.a1.a1', 'counter': 104, 'group_counter': 6453, 'group_order': 960, 'label': '48A-11', 'order': 48, 'powers': [84, 50, 102], 'representative': 115, 'size': 5}
  • id: 143447914
    {'aut_label': '48A1', 'centralizer': '5.a1.a1', 'counter': 105, 'group_counter': 6453, 'group_order': 960, 'label': '48A13', 'order': 48, 'powers': [84, 49, 107], 'representative': 19, 'size': 5}
  • id: 143447915
    {'aut_label': '48A-1', 'centralizer': '5.a1.a1', 'counter': 106, 'group_counter': 6453, 'group_order': 960, 'label': '48A-13', 'order': 48, 'powers': [83, 48, 108], 'representative': 135, 'size': 5}
  • id: 143447916
    {'aut_label': '48A1', 'centralizer': '5.a1.a1', 'counter': 107, 'group_counter': 6453, 'group_order': 960, 'label': '48A17', 'order': 48, 'powers': [82, 46, 104], 'representative': 131, 'size': 5}
  • id: 143447917
    {'aut_label': '48A-1', 'centralizer': '5.a1.a1', 'counter': 108, 'group_counter': 6453, 'group_order': 960, 'label': '48A-17', 'order': 48, 'powers': [81, 47, 103], 'representative': 23, 'size': 5}
  • id: 143447918
    {'aut_label': '48A-1', 'centralizer': '5.a1.a1', 'counter': 109, 'group_counter': 6453, 'group_order': 960, 'label': '48A19', 'order': 48, 'powers': [80, 48, 98], 'representative': 71, 'size': 5}
  • id: 143447920
    {'aut_label': '48A1', 'centralizer': '5.a1.a1', 'counter': 110, 'group_counter': 6453, 'group_order': 960, 'label': '48A-19', 'order': 48, 'powers': [79, 49, 97], 'representative': 83, 'size': 5}
  • id: 143447921
    {'aut_label': '48A-1', 'centralizer': '5.a1.a1', 'counter': 111, 'group_counter': 6453, 'group_order': 960, 'label': '48A23', 'order': 48, 'powers': [78, 52, 109], 'representative': 183, 'size': 5}
  • id: 143447922
    {'aut_label': '48A1', 'centralizer': '5.a1.a1', 'counter': 112, 'group_counter': 6453, 'group_order': 960, 'label': '48A-23', 'order': 48, 'powers': [77, 53, 110], 'representative': 163, 'size': 5}
  • id: 143447923
    {'aut_label': '48B1', 'centralizer': '10.b1.a1', 'counter': 113, 'group_counter': 6453, 'group_order': 960, 'label': '48B1', 'order': 48, 'powers': [77, 54, 115], 'representative': 66, 'size': 10}
  • id: 143447924
    {'aut_label': '48B-1', 'centralizer': '10.b1.a1', 'counter': 114, 'group_counter': 6453, 'group_order': 960, 'label': '48B-1', 'order': 48, 'powers': [78, 55, 116], 'representative': 86, 'size': 10}
  • id: 143447925
    {'aut_label': '48B1', 'centralizer': '10.b1.a1', 'counter': 115, 'group_counter': 6453, 'group_order': 960, 'label': '48B5', 'order': 48, 'powers': [79, 57, 113], 'representative': 82, 'size': 10}
  • id: 143447926
    {'aut_label': '48B-1', 'centralizer': '10.b1.a1', 'counter': 116, 'group_counter': 6453, 'group_order': 960, 'label': '48B-5', 'order': 48, 'powers': [80, 56, 114], 'representative': 70, 'size': 10}
  • id: 143447927
    {'aut_label': '48B-1', 'centralizer': '10.b1.a1', 'counter': 117, 'group_counter': 6453, 'group_order': 960, 'label': '48B7', 'order': 48, 'powers': [81, 55, 119], 'representative': 22, 'size': 10}
  • id: 143447928
    {'aut_label': '48B1', 'centralizer': '10.b1.a1', 'counter': 118, 'group_counter': 6453, 'group_order': 960, 'label': '48B-7', 'order': 48, 'powers': [82, 54, 120], 'representative': 34, 'size': 10}
  • id: 143447929
    {'aut_label': '48B-1', 'centralizer': '10.b1.a1', 'counter': 119, 'group_counter': 6453, 'group_order': 960, 'label': '48B11', 'order': 48, 'powers': [83, 56, 117], 'representative': 38, 'size': 10}
  • id: 143447931
    {'aut_label': '48B1', 'centralizer': '10.b1.a1', 'counter': 120, 'group_counter': 6453, 'group_order': 960, 'label': '48B-11', 'order': 48, 'powers': [84, 57, 118], 'representative': 18, 'size': 10}
  • id: 143447932
    {'aut_label': '48C1', 'centralizer': '10.d1.b1', 'counter': 121, 'group_counter': 6453, 'group_order': 960, 'label': '48C1', 'order': 48, 'powers': [83, 58, 123], 'representative': 10, 'size': 10}
  • id: 143447933
    {'aut_label': '48C-1', 'centralizer': '10.d1.b1', 'counter': 122, 'group_counter': 6453, 'group_order': 960, 'label': '48C-1', 'order': 48, 'powers': [84, 59, 124], 'representative': 46, 'size': 10}
  • id: 143447934
    {'aut_label': '48C1', 'centralizer': '10.d1.b1', 'counter': 123, 'group_counter': 6453, 'group_order': 960, 'label': '48C5', 'order': 48, 'powers': [81, 61, 121], 'representative': 90, 'size': 10}
  • id: 143447935
    {'aut_label': '48C-1', 'centralizer': '10.d1.b1', 'counter': 124, 'group_counter': 6453, 'group_order': 960, 'label': '48C-5', 'order': 48, 'powers': [82, 60, 122], 'representative': 62, 'size': 10}
  • id: 143447936
    {'aut_label': '48C-1', 'centralizer': '10.d1.b1', 'counter': 125, 'group_counter': 6453, 'group_order': 960, 'label': '48C7', 'order': 48, 'powers': [79, 59, 127], 'representative': 14, 'size': 10}
  • id: 143447937
    {'aut_label': '48C1', 'centralizer': '10.d1.b1', 'counter': 126, 'group_counter': 6453, 'group_order': 960, 'label': '48C-7', 'order': 48, 'powers': [80, 58, 128], 'representative': 42, 'size': 10}
  • id: 143447938
    {'aut_label': '48C-1', 'centralizer': '10.d1.b1', 'counter': 127, 'group_counter': 6453, 'group_order': 960, 'label': '48C11', 'order': 48, 'powers': [77, 60, 125], 'representative': 94, 'size': 10}
  • id: 143447939
    {'aut_label': '48C1', 'centralizer': '10.d1.b1', 'counter': 128, 'group_counter': 6453, 'group_order': 960, 'label': '48C-11', 'order': 48, 'powers': [78, 61, 126], 'representative': 58, 'size': 10}
  • id: 143447940
    {'aut_label': '48C1', 'centralizer': '10.d1.a1', 'counter': 129, 'group_counter': 6453, 'group_order': 960, 'label': '48D1', 'order': 48, 'powers': [78, 62, 131], 'representative': 11, 'size': 10}
  • id: 143447942
    {'aut_label': '48C-1', 'centralizer': '10.d1.a1', 'counter': 130, 'group_counter': 6453, 'group_order': 960, 'label': '48D-1', 'order': 48, 'powers': [77, 63, 132], 'representative': 47, 'size': 10}
  • id: 143447943
    {'aut_label': '48C1', 'centralizer': '10.d1.a1', 'counter': 131, 'group_counter': 6453, 'group_order': 960, 'label': '48D5', 'order': 48, 'powers': [80, 65, 129], 'representative': 91, 'size': 10}
  • id: 143447944
    {'aut_label': '48C-1', 'centralizer': '10.d1.a1', 'counter': 132, 'group_counter': 6453, 'group_order': 960, 'label': '48D-5', 'order': 48, 'powers': [79, 64, 130], 'representative': 63, 'size': 10}
  • id: 143447945
    {'aut_label': '48C-1', 'centralizer': '10.d1.a1', 'counter': 133, 'group_counter': 6453, 'group_order': 960, 'label': '48D7', 'order': 48, 'powers': [82, 63, 135], 'representative': 15, 'size': 10}
  • id: 143447946
    {'aut_label': '48C1', 'centralizer': '10.d1.a1', 'counter': 134, 'group_counter': 6453, 'group_order': 960, 'label': '48D-7', 'order': 48, 'powers': [81, 62, 136], 'representative': 43, 'size': 10}
  • id: 143447947
    {'aut_label': '48C-1', 'centralizer': '10.d1.a1', 'counter': 135, 'group_counter': 6453, 'group_order': 960, 'label': '48D11', 'order': 48, 'powers': [84, 64, 133], 'representative': 95, 'size': 10}
  • id: 143447948
    {'aut_label': '48C1', 'centralizer': '10.d1.a1', 'counter': 136, 'group_counter': 6453, 'group_order': 960, 'label': '48D-11', 'order': 48, 'powers': [83, 65, 134], 'representative': 59, 'size': 10}
  • id: 143447949
    {'aut_label': '60A1', 'centralizer': '4.b1.a1', 'counter': 137, 'group_counter': 6453, 'group_order': 960, 'label': '60A1', 'order': 60, 'powers': [89, 66, 37], 'representative': 16, 'size': 4}
  • id: 143447950
    {'aut_label': '60A-1', 'centralizer': '4.b1.a1', 'counter': 138, 'group_counter': 6453, 'group_order': 960, 'label': '60A-1', 'order': 60, 'powers': [90, 67, 36], 'representative': 944, 'size': 4}
  • id: 143447951
    {'aut_label': '60A-1', 'centralizer': '4.b1.a1', 'counter': 139, 'group_counter': 6453, 'group_order': 960, 'label': '60A7', 'order': 60, 'powers': [89, 67, 34], 'representative': 112, 'size': 4}
  • id: 143447953
    {'aut_label': '60A1', 'centralizer': '4.b1.a1', 'counter': 140, 'group_counter': 6453, 'group_order': 960, 'label': '60A-7', 'order': 60, 'powers': [90, 66, 35], 'representative': 848, 'size': 4}
  • id: 143447954
    {'aut_label': '60B1', 'centralizer': '8.b1.a1', 'counter': 141, 'group_counter': 6453, 'group_order': 960, 'label': '60B1', 'order': 60, 'powers': [89, 68, 38], 'representative': 17, 'size': 8}
  • id: 143447955
    {'aut_label': '60B1', 'centralizer': '8.b1.a1', 'counter': 142, 'group_counter': 6453, 'group_order': 960, 'label': '60B-1', 'order': 60, 'powers': [90, 68, 39], 'representative': 273, 'size': 8}
  • id: 143447956
    {'aut_label': '120A1', 'centralizer': '8.e1.a1', 'counter': 143, 'group_counter': 6453, 'group_order': 960, 'label': '120A1', 'order': 120, 'powers': [137, 93, 69], 'representative': 8, 'size': 8}
  • id: 143447957
    {'aut_label': '120A-1', 'centralizer': '8.e1.a1', 'counter': 144, 'group_counter': 6453, 'group_order': 960, 'label': '120A-1', 'order': 120, 'powers': [138, 94, 70], 'representative': 88, 'size': 8}
  • id: 143447958
    {'aut_label': '120A-1', 'centralizer': '8.e1.a1', 'counter': 145, 'group_counter': 6453, 'group_order': 960, 'label': '120A7', 'order': 120, 'powers': [139, 94, 72], 'representative': 56, 'size': 8}
  • id: 143447959
    {'aut_label': '120A1', 'centralizer': '8.e1.a1', 'counter': 146, 'group_counter': 6453, 'group_order': 960, 'label': '120A-7', 'order': 120, 'powers': [140, 93, 71], 'representative': 136, 'size': 8}
  • id: 143447960
    {'aut_label': '120A-1', 'centralizer': '8.e1.b1', 'counter': 147, 'group_counter': 6453, 'group_order': 960, 'label': '120B1', 'order': 120, 'powers': [139, 95, 73], 'representative': 9, 'size': 8}
  • id: 143447961
    {'aut_label': '120A1', 'centralizer': '8.e1.b1', 'counter': 148, 'group_counter': 6453, 'group_order': 960, 'label': '120B-1', 'order': 120, 'powers': [140, 96, 74], 'representative': 89, 'size': 8}
  • id: 143447962
    {'aut_label': '120A1', 'centralizer': '8.e1.b1', 'counter': 149, 'group_counter': 6453, 'group_order': 960, 'label': '120B7', 'order': 120, 'powers': [137, 96, 76], 'representative': 57, 'size': 8}
  • id: 143447964
    {'aut_label': '120A-1', 'centralizer': '8.e1.b1', 'counter': 150, 'group_counter': 6453, 'group_order': 960, 'label': '120B-7', 'order': 120, 'powers': [138, 95, 75], 'representative': 137, '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: 13746886
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13746897
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 13746908
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 13746919
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 13746929
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -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: 13746930
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 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: 13746931
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -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: 13746932
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13746933
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1i', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13746887
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2], 'schur_index': 1}
  • id: 13746888
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2], 'schur_index': 1}
  • id: 13746889
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 13746890
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1m', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 13746891
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1n', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -1, -1, 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, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -2, -2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 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: 13746892
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1o', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -1, -1, 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, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -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: 13746893
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1p', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -1, -1, 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, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 2, 2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -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: 13746894
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1q', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -1, -1, 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, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 2, 2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 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: 13746895
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, -1, -1, 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, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -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: 13746896
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1s', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, -1, -1, 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, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 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: 13746898
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1t', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 13746899
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1u', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 4, -4, -4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13746900
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1v', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, 4, 4, 4, -4, -4, 4, -4, -4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, -4, -4, 4, 4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13746901
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1w', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13746902
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1x', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, 4, 4, -4, -4, -4, 4, -4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13746903
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1y', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -2, -2, 4, 4, -4, 4, -4, 4, -2, -2, 2, 2, -2, -2, 2, 2, 4, 4, -4, -4, -4, -4, -4, -4, 4, 4, 4, -4, -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, 4, 4, -4, -2, -2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2], 'schur_index': 1}
  • id: 13746904
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1z', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -2, -2, 4, 4, -4, -4, 4, 4, -2, -2, 2, 2, 2, 2, -2, -2, -4, -4, 4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -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, 4, 4, -4, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, -2], 'schur_index': 1}
  • id: 13746905
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1aa', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, -2, -2, 4, 4, 4, -4, -4, 4, -2, -2, -2, -2, 2, 2, 2, 2, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, 4, -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, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 13746906
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1ab', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, -2, -2, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, -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, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 13746914
    {'cdim': 4, 'counter': 35, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4a', 'multiplicity': 1, 'nt': [5, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, -1, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, -1, -1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 13746915
    {'cdim': 4, 'counter': 36, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4b', 'multiplicity': 1, 'nt': [10, 5], 'qdim': 4, 'qvalues': [4, 4, -4, 0, 0, 4, 4, 4, 4, -4, 0, 0, -1, 4, 4, -4, -4, 0, 0, 0, 0, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, -1, 1, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -4, -4, 4, 4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 13746916
    {'cdim': 4, 'counter': 37, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4c', 'multiplicity': 1, 'nt': [10, 5], 'qdim': 4, 'qvalues': [4, 4, -4, 0, 0, 4, 4, 4, 4, -4, 0, 0, -1, 4, 4, -4, -4, 0, 0, 0, 0, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, -1, 1, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 4, 4, -4, -4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 13746917
    {'cdim': 4, 'counter': 38, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4d', 'multiplicity': 1, 'nt': [10, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, -1, 4, 4, 4, 4, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, -1, -1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 13746907
    {'cdim': 1, 'counter': 29, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1ac', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, -4, -4, -8, -8, 8, 8, 8, 8, -4, -4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13746909
    {'cdim': 1, 'counter': 30, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1ad', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, -8, 8, 8, -4, -4, -8, -8, 8, -8, -8, 8, -4, -4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 4, 4, 4, 4, -4, -4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13746910
    {'cdim': 1, 'counter': 31, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1ae', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, 8, -8, 8, -4, -4, -8, -8, -8, -8, 8, 8, -4, -4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13746911
    {'cdim': 1, 'counter': 32, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.1af', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -4, -4, -8, -8, -8, 8, -8, 8, -4, -4, -4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, 4, 4, 4, 4, -4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13746918
    {'cdim': 4, 'counter': 39, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4e', 'multiplicity': 2, 'nt': [15, 8], 'qdim': 8, 'qvalues': [8, 8, 8, 0, 0, -4, -4, 8, 8, 8, 0, 0, -2, -4, -4, -4, -4, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13746920
    {'cdim': 4, 'counter': 40, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4f', 'multiplicity': 2, 'nt': [30, 26], 'qdim': 8, 'qvalues': [8, 8, -8, 0, 0, -4, -4, 8, 8, -8, 0, 0, -2, -4, -4, 4, 4, 0, 0, 0, 0, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, -2, 2, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 4, 4, -4, -4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 13746921
    {'cdim': 4, 'counter': 41, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4g', 'multiplicity': 2, 'nt': [30, 26], 'qdim': 8, 'qvalues': [8, 8, -8, 0, 0, -4, -4, 8, 8, -8, 0, 0, -2, -4, -4, 4, 4, 0, 0, 0, 0, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, -2, 2, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -4, -4, 4, 4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 13746922
    {'cdim': 4, 'counter': 42, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4h', 'multiplicity': 2, 'nt': [30, 26], 'qdim': 8, 'qvalues': [8, 8, 8, 0, 0, -4, -4, 8, 8, 8, 0, 0, -2, -4, -4, -4, -4, 0, 0, 0, 0, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13746923
    {'cdim': 4, 'counter': 43, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4i', 'multiplicity': 2, 'nt': [40, 42], 'qdim': 8, 'qvalues': [8, 8, -8, 0, 0, 8, 8, -8, -8, 8, 0, 0, -2, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 13746924
    {'cdim': 4, 'counter': 44, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4j', 'multiplicity': 2, 'nt': [40, 42], 'qdim': 8, 'qvalues': [8, 8, 8, 0, 0, 8, 8, -8, -8, -8, 0, 0, -2, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 13746912
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.2a', 'multiplicity': 8, 'nt': [32, 382], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13746925
    {'cdim': 4, 'counter': 45, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4k', 'multiplicity': 4, 'nt': [120, 0], 'qdim': 16, 'qvalues': [16, 16, -16, 0, 0, -8, -8, -16, -16, 16, 0, 0, -4, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13746926
    {'cdim': 4, 'counter': 46, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.4l', 'multiplicity': 4, 'nt': [120, 0], 'qdim': 16, 'qvalues': [16, 16, 16, 0, 0, -8, -8, -16, -16, -16, 0, 0, -4, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13746927
    {'cdim': 8, 'counter': 47, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.8a', 'multiplicity': 2, 'nt': [160, 0], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, -4, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 4}
  • id: 13746913
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.2b', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, -16, -16, 0, 0, 0, 0, 0, 32, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13746928
    {'cdim': 8, 'counter': 48, 'faithful': True, 'group': '960.6453', 'group_order': 960, 'image': None, 'label': '960.6453.8b', 'multiplicity': 4, 'nt': [480, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, -16, -16, 0, 0, 0, 0, 0, -8, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
• gps_char •

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

  
  
  • id: 32607123
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 960, 'label': '960.6453.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 32607226
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 57, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 80, 'label': '960.6453.1aa1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 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, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 32607227
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 58, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 80, 'label': '960.6453.1aa2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]]]}
  • id: 32607228
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 59, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 80, 'label': '960.6453.1aa3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 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, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 32607230
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 60, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 80, 'label': '960.6453.1aa4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]]]}
  • id: 32607231
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 61, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 80, 'label': '960.6453.1ab1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 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, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 32607232
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 62, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 80, 'label': '960.6453.1ab2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]]]}
  • id: 32607233
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 63, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 80, 'label': '960.6453.1ab3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 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, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 32607234
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 64, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 80, 'label': '960.6453.1ab4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]]]}
  • id: 32607235
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 65, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.a1', 'kernel_order': 40, 'label': '960.6453.1ac1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[-1, 11]], [[1, 5]], [[1, 5]], [[1, 7]], [[-1, 7]], [[1, 5]], [[1, 11]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 7]], [[-1, 5]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 32607236
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 66, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.a1', 'kernel_order': 40, 'label': '960.6453.1ac2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 7]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 1]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[1, 11]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[1, 11]], [[-1, 11]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 32607237
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 67, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.a1', 'kernel_order': 40, 'label': '960.6453.1ac3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[1, 7]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 11]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[1, 11]], [[1, 11]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[1, 1]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 7]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 7]], [[1, 7]], [[1, 11]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 32607238
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 68, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.a1', 'kernel_order': 40, 'label': '960.6453.1ac4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 1]], [[1, 5]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 5]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 7]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 32607239
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  • id: 32607241
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 70, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.a1', 'kernel_order': 40, 'label': '960.6453.1ac6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 11]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 5]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[-1, 11]], [[1, 11]], [[1, 7]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 32607242
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 71, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.a1', 'kernel_order': 40, 'label': '960.6453.1ac7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[1, 1]], [[1, 1]], [[-1, 11]], [[1, 7]], [[1, 11]], [[1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[1, 5]], [[1, 5]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 5]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 1]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[1, 7]], [[-1, 7]], [[1, 11]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]]]}
  • id: 32607243
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 72, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.a1', 'kernel_order': 40, 'label': '960.6453.1ac8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 7]], [[1, 11]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[-1, 7]], [[1, 1]], [[1, 1]], [[1, 11]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 11]], [[-1, 1]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 32607244
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 73, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 40, 'label': '960.6453.1ad1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 5]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[1, 11]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[1, 11]], [[-1, 11]], [[1, 1]], [[1, 1]], [[-1, 11]], [[1, 5]], [[1, 11]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 32607245
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 74, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 40, 'label': '960.6453.1ad2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 11]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 5]], [[1, 7]], [[1, 5]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 32607246
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 75, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 40, 'label': '960.6453.1ad3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[1, 1]], [[1, 1]], [[-1, 11]], [[1, 7]], [[1, 11]], [[1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 5]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]]]}
  • id: 32607247
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  • id: 32607248
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 77, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 40, 'label': '960.6453.1ad5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[1, 5]], [[-1, 5]], [[1, 7]], [[1, 7]], [[-1, 5]], [[1, 11]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 7]], [[1, 7]], [[1, 11]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]]]}
  • id: 32607249
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 78, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 40, 'label': '960.6453.1ad6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 7]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 1]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[1, 5]], [[1, 7]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 32607250
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 79, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 40, 'label': '960.6453.1ad7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[1, 7]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 11]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[1, 11]], [[1, 11]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]]]}
  • id: 32607252
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 80, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 40, 'label': '960.6453.1ad8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 1]], [[1, 5]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 32607253
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 81, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 40, 'label': '960.6453.1ae1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 11]], [[-1, 5]], [[1, 5]], [[-1, 7]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 10]]]}
  • id: 32607254
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 82, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 40, 'label': '960.6453.1ae2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 7]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[1, 1]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[1, 5]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 7]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 32607255
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  • id: 32607256
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 84, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 40, 'label': '960.6453.1ae4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 1]], [[1, 5]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 5]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 32607257
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 85, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 40, 'label': '960.6453.1ae5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 5]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[1, 11]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 5]], [[-1, 11]], [[1, 11]], [[-1, 1]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 32607258
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 86, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 40, 'label': '960.6453.1ae6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 11]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[1, 11]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[1, 11]], [[1, 7]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 32607259
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 87, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 40, 'label': '960.6453.1ae7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[1, 1]], [[1, 1]], [[-1, 11]], [[1, 7]], [[1, 11]], [[1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 5]], [[-1, 7]], [[1, 5]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[1, 1]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 11]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 32607260
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 88, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 40, 'label': '960.6453.1ae8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 7]], [[1, 11]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 5]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[1, 5]], [[1, 7]], [[1, 7]], [[-1, 1]], [[1, 1]], [[-1, 11]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 32607261
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 89, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 40, 'label': '960.6453.1af1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 5]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[1, 11]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[-1, 7]], [[1, 5]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 1]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[1, 7]], [[-1, 7]], [[1, 11]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 10]]]}
  • id: 32607263
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  • id: 32607264
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 91, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 40, 'label': '960.6453.1af3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[1, 1]], [[1, 1]], [[-1, 11]], [[1, 7]], [[1, 11]], [[1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 5]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[1, 5]], [[1, 11]], [[1, 11]], [[1, 1]], [[1, 1]], [[-1, 11]], [[1, 5]], [[1, 11]], [[-1, 7]], [[1, 7]], [[-1, 11]], [[1, 7]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 10]]]}
  • id: 32607265
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 92, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 40, 'label': '960.6453.1af4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 7]], [[1, 11]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 5]], [[1, 7]], [[1, 5]], [[1, 11]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 11]], [[1, 7]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 32607266
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 93, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 40, 'label': '960.6453.1af5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 32607267
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 94, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 40, 'label': '960.6453.1af6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 7]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[1, 1]], [[-1, 1]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[1, 11]], [[1, 5]], [[-1, 7]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 32607268
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 95, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 40, 'label': '960.6453.1af7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[1, 7]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 11]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[1, 11]], [[-1, 11]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 11]], [[1, 5]], [[1, 5]], [[1, 7]], [[1, 7]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 10]]]}
  • id: 32607269
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 96, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 40, 'label': '960.6453.1af8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 1]], [[1, 5]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[-1, 11]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 32607185
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  • id: 32607196
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  • id: 32607207
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 480, 'label': '960.6453.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 32607218
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  • id: 32607229
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 480, 'label': '960.6453.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 32607240
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  • id: 32607251
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  • id: 32607262
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  • id: 32607124
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 10, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 320, 'label': '960.6453.1i2', 'nt': [3, 2], 'q_character': None, 'values': [[[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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[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: 32607135
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 11, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.e1.b1', 'kernel_order': 240, 'label': '960.6453.1j1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 32607146
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 12, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.e1.b1', 'kernel_order': 240, 'label': '960.6453.1j2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 32607157
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 13, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.e1.a1', 'kernel_order': 240, 'label': '960.6453.1k1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 32607168
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 14, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.e1.a1', 'kernel_order': 240, 'label': '960.6453.1k2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 32607179
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 15, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 240, 'label': '960.6453.1l1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 32607181
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  • id: 32607182
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 17, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 240, 'label': '960.6453.1m1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 32607183
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 18, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 240, 'label': '960.6453.1m2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 32607184
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  • id: 32607186
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  • id: 32607187
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  • id: 32607188
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  • id: 32607189
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  • id: 32607190
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  • id: 32607191
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  • id: 32607192
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  • id: 32607193
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  • id: 32607194
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  • id: 32607195
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 29, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 160, 'label': '960.6453.1s1', 'nt': [6, 1], 'q_character': None, 'values': [[[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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[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: 32607197
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 30, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 160, 'label': '960.6453.1s2', 'nt': [6, 2], 'q_character': None, 'values': [[[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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[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: 32607198
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 31, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 160, 'label': '960.6453.1t1', 'nt': [6, 1], 'q_character': None, 'values': [[[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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 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, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[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: 32607199
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 32, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 160, 'label': '960.6453.1t2', 'nt': [6, 2], 'q_character': None, 'values': [[[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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -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, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[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: 32607200
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 33, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.h1.a1', 'kernel_order': 120, 'label': '960.6453.1u1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 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, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 32607201
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  • id: 32607202
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 35, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.h1.a1', 'kernel_order': 120, 'label': '960.6453.1u3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 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, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 32607203
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 36, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.h1.a1', 'kernel_order': 120, 'label': '960.6453.1u4', 'nt': [8, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 32607204
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 37, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1.a1', 'kernel_order': 120, 'label': '960.6453.1v1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 32607205
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 38, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1.a1', 'kernel_order': 120, 'label': '960.6453.1v2', 'nt': [8, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 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, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 32607206
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 39, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1.a1', 'kernel_order': 120, 'label': '960.6453.1v3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 32607208
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 40, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1.a1', 'kernel_order': 120, 'label': '960.6453.1v4', 'nt': [8, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 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, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 32607209
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 41, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 120, 'label': '960.6453.1w1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 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, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 32607210
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 42, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 120, 'label': '960.6453.1w2', 'nt': [8, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 32607211
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 43, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 120, 'label': '960.6453.1w3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 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, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 32607212
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 44, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 120, 'label': '960.6453.1w4', 'nt': [8, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 32607213
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 45, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 120, 'label': '960.6453.1x1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 32607214
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 46, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 120, 'label': '960.6453.1x2', 'nt': [8, 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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 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, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 32607215
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 47, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 120, 'label': '960.6453.1x3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 32607216
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 48, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 120, 'label': '960.6453.1x4', 'nt': [8, 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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 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, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 32607217
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 49, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.e1.b1', 'kernel_order': 80, 'label': '960.6453.1y1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 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, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 32607219
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 50, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.e1.b1', 'kernel_order': 80, 'label': '960.6453.1y2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]]]}
  • id: 32607220
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 51, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.e1.b1', 'kernel_order': 80, 'label': '960.6453.1y3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 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, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 32607221
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 52, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.e1.b1', 'kernel_order': 80, 'label': '960.6453.1y4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]]]}
  • id: 32607222
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 53, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.e1.a1', 'kernel_order': 80, 'label': '960.6453.1z1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 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, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 32607223
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 54, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.e1.a1', 'kernel_order': 80, 'label': '960.6453.1z2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]]]}
  • id: 32607224
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 55, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.e1.a1', 'kernel_order': 80, 'label': '960.6453.1z3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 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, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 32607225
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 56, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.e1.a1', 'kernel_order': 80, 'label': '960.6453.1z4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]]]}
  • id: 32607270
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 97, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 15, 'label': '960.6453.2a1', 'nt': [32, 382], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 2]], [[2, 2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[2, 3]], [[-2, 7]], [[2, 7]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 5]], [[-2, 7]], [[-2, 3]], [[2, 7]], [[-2, 1]], [[2, 1]], [[-2, 7]], [[2, 7]], [[-2, 3]], [[-2, 5]], [[2, 5]], [[2, 3]], [[2, 1]], [[2, 3]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607271
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 98, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 15, 'label': '960.6453.2a2', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 6]], [[-2, 6]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 3]], [[2, 5]], [[-2, 7]], [[2, 7]], [[-2, 5]], [[2, 1]], [[-2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[2, 2]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 3]], [[2, 1]], [[2, 5]], [[-2, 1]], [[2, 7]], [[-2, 7]], [[2, 1]], [[-2, 1]], [[2, 5]], [[2, 3]], [[-2, 3]], [[-2, 5]], [[-2, 7]], [[-2, 5]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607272
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 99, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 15, 'label': '960.6453.2a3', 'nt': [32, 382], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 2]], [[2, 2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[2, 7]], [[-2, 7]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 5]], [[2, 7]], [[2, 3]], [[-2, 7]], [[2, 1]], [[-2, 1]], [[2, 7]], [[-2, 7]], [[2, 3]], [[2, 5]], [[-2, 5]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607125
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 100, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 15, 'label': '960.6453.2a4', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 6]], [[-2, 6]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 3]], [[-2, 5]], [[2, 7]], [[-2, 7]], [[2, 5]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[2, 2]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 3]], [[-2, 1]], [[-2, 5]], [[2, 1]], [[-2, 7]], [[2, 7]], [[-2, 1]], [[2, 1]], [[-2, 5]], [[-2, 3]], [[2, 3]], [[2, 5]], [[2, 7]], [[2, 5]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607126
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 101, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 15, 'label': '960.6453.2a5', 'nt': [32, 382], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[2, 6]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 7]], [[2, 5]], [[-2, 5]], [[-2, 7]], [[-2, 3]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 1]], [[-2, 3]], [[2, 7]], [[2, 3]], [[-2, 5]], [[2, 5]], [[-2, 3]], [[2, 3]], [[2, 7]], [[2, 1]], [[-2, 1]], [[-2, 7]], [[2, 5]], [[-2, 7]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607127
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  • id: 32607128
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 103, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 15, 'label': '960.6453.2a7', 'nt': [32, 382], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[2, 6]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 7]], [[-2, 5]], [[2, 5]], [[2, 7]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 1]], [[2, 3]], [[-2, 7]], [[-2, 3]], [[2, 5]], [[-2, 5]], [[2, 3]], [[-2, 3]], [[-2, 7]], [[-2, 1]], [[2, 1]], [[2, 7]], [[-2, 5]], [[2, 7]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607129
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 104, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '64.185', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 15, 'label': '960.6453.2a8', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 7]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 5]], [[2, 5]], [[2, 7]], [[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, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 6]], [[-2, 2]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 7]], [[-2, 5]], [[2, 1]], [[2, 5]], [[-2, 3]], [[2, 3]], [[-2, 5]], [[2, 5]], [[2, 1]], [[2, 7]], [[-2, 7]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607130
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 105, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b1', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 20]], [[-2, 20]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 15]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[-2, 21]], [[2, 21]], [[-2, 15]], [[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, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[-2, 14]], [[-2, 2]], [[2, 22]], [[2, 2]], [[2, 14]], [[2, 10]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 19]], [[2, 23]], [[-2, 5]], [[2, 17]], [[-2, 13]], [[2, 11]], [[-2, 11]], [[2, 13]], [[2, 5]], [[2, 1]], [[2, 7]], [[-2, 23]], [[-2, 17]], [[2, 19]], [[-2, 1]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4]], [[2, 4]], [[-2, 20]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607140
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 114, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b10', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[-2, 20]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 15]], [[-2, 9]], [[2, 3]], [[-2, 3]], [[2, 9]], [[-2, 21]], [[2, 21]], [[-2, 15]], [[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, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 22]], [[2, 10]], [[-2, 14]], [[-2, 10]], [[-2, 22]], [[-2, 2]], [[2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[2, 7]], [[2, 13]], [[2, 1]], [[2, 5]], [[-2, 19]], [[2, 19]], [[-2, 5]], [[-2, 13]], [[2, 17]], [[2, 23]], [[-2, 7]], [[-2, 1]], [[-2, 11]], [[-2, 17]], [[-2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 20]], [[2, 20]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607141
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 115, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b11', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 20]], [[2, 20]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 9]], [[-2, 15]], [[2, 21]], [[-2, 21]], [[2, 15]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[-2, 2]], [[-2, 14]], [[2, 10]], [[2, 14]], [[2, 2]], [[2, 22]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 13]], [[2, 17]], [[2, 11]], [[2, 23]], [[2, 19]], [[-2, 5]], [[2, 5]], [[-2, 19]], [[-2, 11]], [[2, 7]], [[2, 1]], [[-2, 17]], [[-2, 23]], [[-2, 13]], [[-2, 7]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 20]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607142
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 116, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b12', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[-2, 20]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 15]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[2, 21]], [[-2, 21]], [[2, 15]], [[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, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 22]], [[2, 10]], [[-2, 14]], [[-2, 10]], [[-2, 22]], [[-2, 2]], [[2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11]], [[-2, 7]], [[-2, 13]], [[-2, 1]], [[-2, 5]], [[2, 19]], [[-2, 19]], [[2, 5]], [[2, 13]], [[-2, 17]], [[-2, 23]], [[2, 7]], [[2, 1]], [[2, 11]], [[2, 17]], [[2, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 20]], [[2, 20]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607143
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  • id: 32607144
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 118, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b14', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[-2, 20]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 3]], [[2, 21]], [[2, 15]], [[-2, 15]], [[-2, 21]], [[-2, 9]], [[2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 22]], [[-2, 10]], [[2, 14]], [[2, 10]], [[2, 22]], [[2, 2]], [[-2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 23]], [[2, 19]], [[2, 1]], [[-2, 13]], [[-2, 17]], [[2, 7]], [[-2, 7]], [[2, 17]], [[-2, 1]], [[2, 5]], [[-2, 11]], [[-2, 19]], [[2, 13]], [[-2, 23]], [[-2, 5]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 20]], [[2, 20]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607145
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 119, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b15', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 20]], [[2, 20]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[-2, 21]], [[2, 3]], [[2, 9]], [[-2, 9]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[2, 21]], [[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, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 22]], [[2, 2]], [[2, 14]], [[-2, 10]], [[-2, 14]], [[-2, 2]], [[-2, 22]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 5]], [[2, 23]], [[-2, 11]], [[-2, 7]], [[2, 17]], [[-2, 17]], [[2, 7]], [[-2, 23]], [[2, 19]], [[-2, 13]], [[-2, 5]], [[2, 11]], [[-2, 1]], [[-2, 19]], [[2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 20]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607147
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 120, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b16', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[-2, 20]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 3]], [[-2, 21]], [[-2, 15]], [[2, 15]], [[2, 21]], [[2, 9]], [[-2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 22]], [[-2, 10]], [[2, 14]], [[2, 10]], [[2, 22]], [[2, 2]], [[-2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 23]], [[-2, 19]], [[-2, 1]], [[2, 13]], [[2, 17]], [[-2, 7]], [[2, 7]], [[-2, 17]], [[2, 1]], [[-2, 5]], [[2, 11]], [[2, 19]], [[-2, 13]], [[2, 23]], [[2, 5]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 20]], [[2, 20]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607131
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 106, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b2', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[2, 20]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 9]], [[2, 15]], [[-2, 21]], [[2, 21]], [[-2, 15]], [[2, 3]], [[-2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14]], [[2, 10]], [[2, 22]], [[-2, 2]], [[-2, 22]], [[-2, 10]], [[-2, 14]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 1]], [[2, 19]], [[-2, 7]], [[2, 11]], [[-2, 13]], [[2, 13]], [[-2, 11]], [[-2, 19]], [[-2, 23]], [[-2, 17]], [[2, 1]], [[2, 7]], [[-2, 5]], [[2, 23]], [[2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 20]], [[-2, 20]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607132
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 107, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b3', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 20]], [[-2, 20]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[-2, 15]], [[2, 9]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[2, 21]], [[-2, 21]], [[2, 15]], [[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, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[-2, 14]], [[-2, 2]], [[2, 22]], [[2, 2]], [[2, 14]], [[2, 10]], [[-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 19]], [[-2, 23]], [[2, 5]], [[-2, 17]], [[2, 13]], [[-2, 11]], [[2, 11]], [[-2, 13]], [[-2, 5]], [[-2, 1]], [[-2, 7]], [[2, 23]], [[2, 17]], [[-2, 19]], [[2, 1]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4]], [[2, 4]], [[-2, 20]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607133
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 108, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b4', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[2, 20]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 9]], [[-2, 15]], [[2, 21]], [[-2, 21]], [[2, 15]], [[-2, 3]], [[2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14]], [[2, 10]], [[2, 22]], [[-2, 2]], [[-2, 22]], [[-2, 10]], [[-2, 14]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 1]], [[-2, 19]], [[2, 7]], [[-2, 11]], [[2, 13]], [[-2, 13]], [[2, 11]], [[2, 19]], [[2, 23]], [[2, 17]], [[-2, 1]], [[-2, 7]], [[2, 5]], [[-2, 23]], [[-2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 20]], [[-2, 20]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607134
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  • id: 32607136
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  • id: 32607137
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 111, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b7', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 20]], [[-2, 20]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 3]], [[-2, 21]], [[-2, 15]], [[2, 15]], [[2, 21]], [[2, 9]], [[-2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10]], [[2, 14]], [[2, 2]], [[-2, 22]], [[-2, 2]], [[-2, 14]], [[-2, 10]], [[2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[2, 11]], [[-2, 17]], [[-2, 5]], [[2, 1]], [[-2, 23]], [[2, 23]], [[-2, 1]], [[2, 17]], [[2, 13]], [[-2, 19]], [[-2, 11]], [[2, 5]], [[2, 7]], [[-2, 13]], [[2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4]], [[2, 4]], [[-2, 20]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607138
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 112, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b8', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[2, 20]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[-2, 21]], [[2, 3]], [[2, 9]], [[-2, 9]], [[-2, 3]], [[-2, 15]], [[2, 15]], [[2, 21]], [[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, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14]], [[-2, 10]], [[-2, 22]], [[2, 2]], [[2, 22]], [[2, 10]], [[2, 14]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 17]], [[-2, 13]], [[2, 7]], [[2, 19]], [[-2, 23]], [[2, 1]], [[-2, 1]], [[2, 23]], [[-2, 7]], [[-2, 11]], [[2, 5]], [[2, 13]], [[-2, 19]], [[-2, 17]], [[2, 11]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 20]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607139
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 240, 'counter': 113, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '192.937', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 5, 'label': '960.6453.2b9', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 6]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 20]], [[2, 20]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[-2, 9]], [[2, 15]], [[-2, 21]], [[2, 21]], [[-2, 15]], [[2, 3]], [[-2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 22]], [[-2, 2]], [[-2, 14]], [[2, 10]], [[2, 14]], [[2, 2]], [[2, 22]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 13]], [[-2, 17]], [[-2, 11]], [[-2, 23]], [[-2, 19]], [[2, 5]], [[-2, 5]], [[2, 19]], [[2, 11]], [[-2, 7]], [[-2, 1]], [[2, 17]], [[2, 23]], [[2, 13]], [[2, 7]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 20]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607148
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 121, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '20.3', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1.a1', 'kernel_order': 48, 'label': '960.6453.4a', 'nt': [5, 3], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 32607149
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 122, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '40.12', 'image_order': 40, 'indicator': 1, 'kernel': '40.b1.b1', 'kernel_order': 24, 'label': '960.6453.4b', 'nt': [10, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 32607150
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  • id: 32607151
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 124, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '40.12', 'image_order': 40, 'indicator': 1, 'kernel': '40.a1.a1', 'kernel_order': 24, 'label': '960.6453.4d', 'nt': [10, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 32607152
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 125, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '60.6', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 16, 'label': '960.6453.4e1', 'nt': [15, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, -1]], [[4, 1]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[4, -1]], [[4, -1]], [[4, 1]], [[4, 1]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 1]], [[4, 1]], [[4, 1]], [[4, -1]], [[4, -1]], [[4, 1]], [[4, -1]], [[4, -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, 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, 1]], [[-1, 1]], [[-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: 32607153
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 126, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '60.6', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 16, 'label': '960.6453.4e2', 'nt': [15, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 1]], [[4, -1]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[4, 1]], [[4, 1]], [[4, -1]], [[4, -1]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, -1]], [[4, -1]], [[4, -1]], [[4, 1]], [[4, 1]], [[4, -1]], [[4, 1]], [[4, 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, -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, -1]], [[-1, -1]], [[-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: 32607154
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 127, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '120.40', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 8, 'label': '960.6453.4f1', 'nt': [30, 26], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, -1]], [[4, 1]], [[-4, 1]], [[-4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[4, -1]], [[4, -1]], [[4, 1]], [[4, 1]], [[-4, 1]], [[-4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-4, 1]], [[-4, 1]], [[4, 1]], [[4, -1]], [[-4, -1]], [[4, 1]], [[-4, -1]], [[4, -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, 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, 1]], [[-1, 1]], [[-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: 32607155
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 128, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '120.40', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 8, 'label': '960.6453.4f2', 'nt': [30, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 1]], [[4, -1]], [[-4, -1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[4, 1]], [[4, 1]], [[4, -1]], [[4, -1]], [[-4, -1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-4, -1]], [[-4, -1]], [[4, -1]], [[4, 1]], [[-4, 1]], [[4, -1]], [[-4, 1]], [[4, 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, -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, -1]], [[-1, -1]], [[-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: 32607156
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 129, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '120.40', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 8, 'label': '960.6453.4g1', 'nt': [30, 26], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, -1]], [[4, 1]], [[-4, 1]], [[-4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[4, -1]], [[4, -1]], [[4, 1]], [[4, 1]], [[-4, 1]], [[-4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[4, 1]], [[4, 1]], [[-4, 1]], [[-4, -1]], [[4, -1]], [[-4, 1]], [[4, -1]], [[-4, -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, 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, 1]], [[-1, 1]], [[-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: 32607158
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  • id: 32607159
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 131, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '120.40', 'image_order': 120, 'indicator': 0, 'kernel': '120.a1.a1', 'kernel_order': 8, 'label': '960.6453.4h1', 'nt': [30, 26], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, -1]], [[4, 1]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[4, -1]], [[4, -1]], [[4, 1]], [[4, 1]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-4, 1]], [[-4, 1]], [[-4, 1]], [[-4, -1]], [[-4, -1]], [[-4, 1]], [[-4, -1]], [[-4, -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, 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, 1]], [[-1, 1]], [[-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: 32607160
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 132, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '120.40', 'image_order': 120, 'indicator': 0, 'kernel': '120.a1.a1', 'kernel_order': 8, 'label': '960.6453.4h2', 'nt': [30, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 1]], [[4, -1]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[4, 1]], [[4, 1]], [[4, -1]], [[4, -1]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-4, -1]], [[-4, -1]], [[-4, -1]], [[-4, 1]], [[-4, 1]], [[-4, -1]], [[-4, 1]], [[-4, 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, -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, -1]], [[-1, -1]], [[-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: 32607161
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 133, 'cyclotomic_n': 4, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '80.28', 'image_order': 80, 'indicator': 0, 'kernel': '80.c1.a1', 'kernel_order': 12, 'label': '960.6453.4i1', 'nt': [40, 42], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[4, 1]], [[4, 1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[4, 1]], [[-4, 1]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[4, 1]], [[4, 1]], [[-4, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 32607162
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 134, 'cyclotomic_n': 4, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '80.28', 'image_order': 80, 'indicator': 0, 'kernel': '80.c1.a1', 'kernel_order': 12, 'label': '960.6453.4i2', 'nt': [40, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[-4, 1]], [[-4, 1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-4, 1]], [[4, 1]], [[4, 1]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[-4, 1]], [[4, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 32607163
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 135, 'cyclotomic_n': 4, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '80.28', 'image_order': 80, 'indicator': 0, 'kernel': '80.a1.a1', 'kernel_order': 12, 'label': '960.6453.4j1', 'nt': [40, 42], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[4, 1]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[-4, 1]], [[-4, 1]], [[4, 1]], [[4, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 32607164
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 136, 'cyclotomic_n': 4, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '80.28', 'image_order': 80, 'indicator': 0, 'kernel': '80.a1.a1', 'kernel_order': 12, 'label': '960.6453.4j2', 'nt': [40, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[4, 1]], [[4, 1]], [[4, 1]], [[-4, 1]], [[-4, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 32607165
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  • id: 32607166
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 138, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '240.111', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 4, 'label': '960.6453.4k2', 'nt': [120, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 2]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 4]], [[-4, 2]], [[4, 2]], [[-4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[-4, 3]], [[-4, 3]], [[4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-4, 4]], [[-4, 4]], [[4, 2]], [[4, 2]], [[-4, 2]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[4, 5]], [[-4, 5]], [[-4, 5]], [[4, 1]], [[-4, 1]], [[4, 5]], [[4, 1]], [[-4, 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, 4]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 32607167
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 139, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '240.111', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 4, 'label': '960.6453.4k3', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 2]], [[4, 4]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-4, 2]], [[4, 4]], [[-4, 4]], [[4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[-4, 3]], [[-4, 3]], [[4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[4, 2]], [[4, 2]], [[-4, 4]], [[-4, 4]], [[4, 4]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[4, 1]], [[-4, 1]], [[-4, 1]], [[4, 5]], [[-4, 5]], [[4, 1]], [[4, 5]], [[-4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]]]}
  • id: 32607169
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 140, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '240.111', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 4, 'label': '960.6453.4k4', 'nt': [120, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 2]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 4]], [[-4, 2]], [[4, 2]], [[-4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3]], [[4, 3]], [[4, 3]], [[-4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-4, 4]], [[-4, 4]], [[4, 2]], [[4, 2]], [[-4, 2]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-4, 5]], [[4, 5]], [[4, 5]], [[-4, 1]], [[4, 1]], [[-4, 5]], [[-4, 1]], [[4, 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, 4]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 32607170
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 141, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '240.111', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1.a1', 'kernel_order': 4, 'label': '960.6453.4l1', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 2]], [[4, 4]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-4, 2]], [[4, 4]], [[4, 4]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3]], [[4, 3]], [[-4, 3]], [[4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[4, 2]], [[4, 2]], [[-4, 4]], [[-4, 4]], [[-4, 4]], [[4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[4, 5]], [[4, 5]], [[4, 1]], [[-4, 5]], [[-4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]]]}
  • id: 32607171
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 142, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '240.111', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1.a1', 'kernel_order': 4, 'label': '960.6453.4l2', 'nt': [120, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 2]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 4]], [[-4, 2]], [[-4, 2]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[-4, 3]], [[4, 3]], [[-4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-4, 4]], [[-4, 4]], [[4, 2]], [[4, 2]], [[4, 2]], [[-4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[4, 5]], [[-4, 5]], [[4, 5]], [[-4, 1]], [[-4, 1]], [[-4, 5]], [[4, 1]], [[4, 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, 4]], [[-1, 4]], [[1, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 32607172
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 143, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '240.111', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1.a1', 'kernel_order': 4, 'label': '960.6453.4l3', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 2]], [[4, 4]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-4, 2]], [[4, 4]], [[4, 4]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[-4, 3]], [[4, 3]], [[-4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[4, 2]], [[4, 2]], [[-4, 4]], [[-4, 4]], [[-4, 4]], [[4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[4, 1]], [[-4, 1]], [[4, 1]], [[-4, 5]], [[-4, 5]], [[-4, 1]], [[4, 5]], [[4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]]]}
  • id: 32607173
    {'center': '20.a1.a1', 'center_index': 20, 'center_order': 48, 'counter': 144, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '240.111', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1.a1', 'kernel_order': 4, 'label': '960.6453.4l4', 'nt': [120, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 2]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[4, 4]], [[-4, 2]], [[-4, 2]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3]], [[4, 3]], [[-4, 3]], [[4, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-4, 4]], [[-4, 4]], [[4, 2]], [[4, 2]], [[4, 2]], [[-4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 5]], [[4, 5]], [[-4, 5]], [[4, 1]], [[4, 1]], [[4, 5]], [[-4, 1]], [[-4, 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, 4]], [[-1, 4]], [[1, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 32607174
    {'center': '80.b1.a1', 'center_index': 80, 'center_order': 12, 'counter': 145, 'cyclotomic_n': 4, 'dim': 8, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '320.1063', 'image_order': 320, 'indicator': 0, 'kernel': '320.a1.a1', 'kernel_order': 3, 'label': '960.6453.8a1', 'nt': [160, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[-8, 1]], [[8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-8, 1]], [[8, 1]], [[8, 1]], [[-8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607175
    {'center': '80.b1.a1', 'center_index': 80, 'center_order': 12, 'counter': 146, 'cyclotomic_n': 4, 'dim': 8, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '320.1063', 'image_order': 320, 'indicator': 0, 'kernel': '320.a1.a1', 'kernel_order': 3, 'label': '960.6453.8a2', 'nt': [160, 2], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 1]], [[-8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[8, 1]], [[-8, 1]], [[-8, 1]], [[8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607176
    {'center': '80.b1.a1', 'center_index': 80, 'center_order': 12, 'counter': 147, 'cyclotomic_n': 12, 'dim': 8, 'faithful': True, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '960.6453', 'image_order': 960, 'indicator': 0, 'kernel': '960.a1.a1', 'kernel_order': 1, 'label': '960.6453.8b1', 'nt': [480, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 2]], [[8, 4]], [[-8, 3]], [[8, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[8, 2]], [[-8, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[8, 5]], [[-8, 5]], [[-8, 1]], [[8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[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, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607177
    {'center': '80.b1.a1', 'center_index': 80, 'center_order': 12, 'counter': 148, 'cyclotomic_n': 12, 'dim': 8, 'faithful': True, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '960.6453', 'image_order': 960, 'indicator': 0, 'kernel': '960.a1.a1', 'kernel_order': 1, 'label': '960.6453.8b2', 'nt': [480, 4], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 4]], [[-8, 2]], [[8, 3]], [[-8, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-8, 4]], [[8, 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]], [[2, 0]], [[0, 0]], [[-8, 1]], [[8, 1]], [[8, 5]], [[-8, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607178
    {'center': '80.b1.a1', 'center_index': 80, 'center_order': 12, 'counter': 149, 'cyclotomic_n': 12, 'dim': 8, 'faithful': True, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '960.6453', 'image_order': 960, 'indicator': 0, 'kernel': '960.a1.a1', 'kernel_order': 1, 'label': '960.6453.8b3', 'nt': [480, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 2]], [[8, 4]], [[8, 3]], [[-8, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[8, 2]], [[-8, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-8, 5]], [[8, 5]], [[8, 1]], [[-8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[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, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32607180
    {'center': '80.b1.a1', 'center_index': 80, 'center_order': 12, 'counter': 150, 'cyclotomic_n': 12, 'dim': 8, 'faithful': True, 'field': [1, 0, 1], 'group': '960.6453', 'group_counter': 6453, 'group_order': 960, 'image': None, 'image_isoclass': '960.6453', 'image_order': 960, 'indicator': 0, 'kernel': '960.a1.a1', 'kernel_order': 1, 'label': '960.6453.8b4', 'nt': [480, 4], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 4]], [[-8, 2]], [[-8, 3]], [[8, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-8, 4]], [[8, 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]], [[2, 0]], [[0, 0]], [[8, 1]], [[-8, 1]], [[-8, 5]], [[8, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 114052953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 960, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '960.6453.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '960.6453', 'subgroup_hash': 6453, 'subgroup_order': 960, 'subgroup_tex': 'D_{20}.C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114053033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 480, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.700', 'subgroup_hash': 700, 'subgroup_order': 480, 'subgroup_tex': 'C_{24}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114053044
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 480, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.277', 'subgroup_hash': 277, 'subgroup_order': 480, 'subgroup_tex': 'C_{10}:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 480, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.278', 'subgroup_hash': 278, 'subgroup_order': 480, 'subgroup_tex': 'C_{15}:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053066
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 480, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.269', 'subgroup_hash': 269, 'subgroup_order': 480, 'subgroup_tex': 'D_5:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053077
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 480, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.2.d1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.269', 'subgroup_hash': 269, 'subgroup_order': 480, 'subgroup_tex': 'D_5:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 480, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.270', 'subgroup_hash': 270, 'subgroup_order': 480, 'subgroup_tex': 'C_{15}:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 480, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.2.e1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.270', 'subgroup_hash': 270, 'subgroup_order': 480, 'subgroup_tex': 'C_{15}:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': True, 'core_order': 320, 'counter': 9, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '960.6453.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '320.1063', 'subgroup_hash': 1063, 'subgroup_order': 320, 'subgroup_tex': 'D_{20}.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114052954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 240, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.158', 'subgroup_hash': 158, 'subgroup_order': 240, 'subgroup_tex': 'D_{20}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 114052965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': True, 'core_order': 240, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.85', 'subgroup_hash': 85, 'subgroup_order': 240, 'subgroup_tex': 'C_{15}\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114052976
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 240, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.38', 'subgroup_hash': 38, 'subgroup_order': 240, 'subgroup_tex': 'C_{10}:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114052987
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 240, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.33', 'subgroup_hash': 33, 'subgroup_order': 240, 'subgroup_tex': 'D_5\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114052998
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 240, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.4.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.33', 'subgroup_hash': 33, 'subgroup_order': 240, 'subgroup_tex': 'D_5\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114053009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 240, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.34', 'subgroup_hash': 34, 'subgroup_order': 240, 'subgroup_tex': 'C_{120}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114053020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 240, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.4.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.34', 'subgroup_hash': 34, 'subgroup_order': 240, 'subgroup_tex': 'C_{120}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114053030
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': True, 'core_order': 240, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.5', 'subgroup_hash': 5, 'subgroup_order': 240, 'subgroup_tex': 'C_5:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053031
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 240, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.5', 'subgroup_hash': 5, 'subgroup_order': 240, 'subgroup_tex': 'C_5:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053032
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 240, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.5', 'subgroup_hash': 5, 'subgroup_order': 240, 'subgroup_tex': 'C_5:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053034
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 240, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.4.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.5', 'subgroup_hash': 5, 'subgroup_order': 240, 'subgroup_tex': 'C_5:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '960.6453.5.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5.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': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.937', 'subgroup_hash': 937, 'subgroup_order': 192, 'subgroup_tex': '\\OD_{32}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 114053036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 160, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.128', 'subgroup_hash': 128, 'subgroup_order': 160, 'subgroup_tex': 'C_8.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114053037
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 160, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.72', 'subgroup_hash': 72, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 160, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.73', 'subgroup_hash': 73, 'subgroup_order': 160, 'subgroup_tex': 'C_5:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053039
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 160, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.64', 'subgroup_hash': 64, 'subgroup_order': 160, 'subgroup_tex': 'D_5:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053040
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 160, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.6.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.64', 'subgroup_hash': 64, 'subgroup_order': 160, 'subgroup_tex': 'D_5:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 160, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.65', 'subgroup_hash': 65, 'subgroup_order': 160, 'subgroup_tex': 'C_5:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 160, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.6.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.65', 'subgroup_hash': 65, 'subgroup_order': 160, 'subgroup_tex': 'C_5:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 120, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.20', 'subgroup_hash': 20, 'subgroup_order': 120, 'subgroup_tex': 'C_{15}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114053045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 120, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.8.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.20', 'subgroup_hash': 20, 'subgroup_order': 120, 'subgroup_tex': 'C_{15}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114053046
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 120, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 114053047
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.17', 'subgroup_hash': 17, 'subgroup_order': 120, 'subgroup_tex': 'D_5\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 114053048
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.8.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.17', 'subgroup_hash': 17, 'subgroup_order': 120, 'subgroup_tex': 'D_5\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 114053049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 120, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.18', 'subgroup_hash': 18, 'subgroup_order': 120, 'subgroup_tex': 'C_3\\times D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114053050
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 120, 'counter': 35, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.4', 'subgroup_hash': 4, 'subgroup_order': 120, 'subgroup_tex': 'C_{120}', 'supersolvable': True, 'sylow': 0}
  • id: 114053051
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 120, 'counter': 36, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.4', 'subgroup_hash': 4, 'subgroup_order': 120, 'subgroup_tex': 'C_{120}', 'supersolvable': True, 'sylow': 0}
  • id: 114053052
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 120, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.2', 'subgroup_hash': 2, 'subgroup_order': 120, 'subgroup_tex': 'C_5:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114053053
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 120, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.2', 'subgroup_hash': 2, 'subgroup_order': 120, 'subgroup_tex': 'C_5:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114053054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 120, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.16', 'subgroup_hash': 16, 'subgroup_order': 120, 'subgroup_tex': 'C_{15}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 114053056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.178', 'subgroup_hash': 178, 'subgroup_order': 96, 'subgroup_tex': '\\OD_{16}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 114053057
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.10.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.60', 'subgroup_hash': 60, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053059
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.10.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053060
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.10.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.10.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.60', 'subgroup_hash': 60, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.10.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.60', 'subgroup_hash': 60, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 80, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.38', 'subgroup_hash': 38, 'subgroup_order': 80, 'subgroup_tex': 'D_{20}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114053064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': True, 'core_order': 80, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.24', 'subgroup_hash': 24, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053065
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 80, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.9', 'subgroup_hash': 9, 'subgroup_order': 80, 'subgroup_tex': 'C_{10}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114053067
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 80, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.4', 'subgroup_hash': 4, 'subgroup_order': 80, 'subgroup_tex': 'C_8\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 114053068
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 80, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.12.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.4', 'subgroup_hash': 4, 'subgroup_order': 80, 'subgroup_tex': 'C_8\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 114053069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 80, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.5', 'subgroup_hash': 5, 'subgroup_order': 80, 'subgroup_tex': 'C_{40}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114053070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 80, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.12.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.5', 'subgroup_hash': 5, 'subgroup_order': 80, 'subgroup_tex': 'C_{40}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114053071
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': True, 'core_order': 80, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.3', 'subgroup_hash': 3, 'subgroup_order': 80, 'subgroup_tex': 'C_5:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053072
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 80, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.3', 'subgroup_hash': 3, 'subgroup_order': 80, 'subgroup_tex': 'C_5:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053073
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 80, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.3', 'subgroup_hash': 3, 'subgroup_order': 80, 'subgroup_tex': 'C_5:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053074
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 80, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.12.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.3', 'subgroup_hash': 3, 'subgroup_order': 80, 'subgroup_tex': 'C_5:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '960.6453.15.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': '64.185', 'subgroup_hash': 185, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{32}:C_2', 'supersolvable': True, 'sylow': 2}
  • id: 114053076
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 60, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 114053078
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114053079
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.16.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114053080
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 60, 'counter': 62, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 114053081
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 60, 'counter': 63, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 114053082
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 114053083
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.16.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 114053084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': True, 'core_order': 48, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_5', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.24', 'subgroup_hash': 24, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 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': '48.47', 'subgroup_hash': 47, 'subgroup_order': 48, 'subgroup_tex': 'D_4:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 114053086
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.20.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114053087
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.20.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114053089
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.20.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114053090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.20.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 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': '48.24', 'subgroup_hash': 24, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.20.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 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': '48.24', 'subgroup_hash': 24, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053092
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 73, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.20.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 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': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053093
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 74, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.20.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 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': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053094
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 75, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.20.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 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': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053095
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.20.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 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': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 114053096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 40, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.8', 'subgroup_hash': 8, 'subgroup_order': 40, 'subgroup_tex': 'C_5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114053097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 40, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.24.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.8', 'subgroup_hash': 8, 'subgroup_order': 40, 'subgroup_tex': 'C_5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114053098
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 40, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 114053100
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 114053101
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.24.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 114053102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 40, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.6', 'subgroup_hash': 6, 'subgroup_order': 40, 'subgroup_tex': 'D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114053103
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 40, 'counter': 83, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 114053104
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 40, 'counter': 84, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.24.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 114053105
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 40, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.1', 'subgroup_hash': 1, 'subgroup_order': 40, 'subgroup_tex': 'C_5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114053106
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 40, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.1', 'subgroup_hash': 1, 'subgroup_order': 40, 'subgroup_tex': 'C_5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114053107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 40, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.4', 'subgroup_hash': 4, 'subgroup_order': 40, 'subgroup_tex': 'C_5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 114053108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.30.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 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': '32.38', 'subgroup_hash': 38, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114053109
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.30.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.30.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': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053112
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.30.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053113
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.30.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114053114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.30.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': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.30.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 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': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 114053116
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 30, 'counter': 95, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 114053117
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 15, 'counter': 96, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.32.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: 114053118
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 15, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '30.2', 'subgroup_hash': 2, 'subgroup_order': 30, 'subgroup_tex': 'C_3\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 114053119
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 15, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.32.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '30.2', 'subgroup_hash': 2, 'subgroup_order': 30, 'subgroup_tex': 'C_3\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 114053120
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 114052955
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 100, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.40.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114052956
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 101, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.40.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114052957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.40.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114052958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.40.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114052959
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.40.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 114052960
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.40.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 114052961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.40.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114052962
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.40.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114052963
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 108, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.40.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 114052964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.40.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 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': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 114052966
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 20, 'counter': 110, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.48.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': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 114052967
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 111, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114052968
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 112, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.48.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114052969
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 20, 'counter': 113, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114052970
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 20, 'counter': 114, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114052971
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 115, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 114052972
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 116, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.48.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 114052973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': True, 'core_order': 16, 'counter': 117, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.60.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.6', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114052974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.60.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114052975
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.60.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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114052977
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.60.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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114052978
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.60.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 114052979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.60.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114052980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.60.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114052981
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 124, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.60.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': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114052982
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 125, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.60.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': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114052983
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 126, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.60.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': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114052984
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 127, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.60.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 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': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114052985
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 15, 'counter': 128, 'cyclic': True, 'direct': False, 'hall': 15, 'label': '960.6453.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.185', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 185, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{32}:C_2', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 114052986
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 12, 'counter': 129, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.80.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.28', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 114052988
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 12, 'counter': 130, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.80.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 114052989
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 12, 'counter': 131, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.80.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.28', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 114052990
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.80.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 114052991
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.80.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 114052992
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 134, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.80.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 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: 114052993
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 135, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.80.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 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: 114052994
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 10, 'counter': 136, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.96.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': '96.176', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 176, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], '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: 114052995
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 5, 'counter': 137, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114052996
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 5, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 114052997
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 5, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.96.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 114052999
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 140, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.120.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': '120.40', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times F_5', '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: 114053000
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 141, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.120.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': '120.40', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114053001
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 142, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.120.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.40', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114053002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.120.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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114053003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.120.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114053004
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.120.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: 114053005
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.120.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 114053006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.120.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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114053007
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 148, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.120.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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114053008
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 149, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.120.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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114053010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.120.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: 114053011
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 6, 'counter': 151, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.160.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '160.200', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 200, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 114053012
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 3, 'counter': 152, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.160.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: 114053013
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 153, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.160.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: 114053014
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 154, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.160.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 114053015
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 5, 'counter': 155, 'cyclic': True, 'direct': False, 'hall': 5, 'label': '960.6453.192.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': '192.937', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 937, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{32}:C_6', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C7'], '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: 114053016
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 4, 'counter': 156, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6453.240.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': '240.111', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 111, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5:C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 114053017
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 157, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.240.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.200', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 200, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 114053018
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 4, 'counter': 158, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.240.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.111', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 111, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5:C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 114053019
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.240.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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 114053021
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6453.240.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 114053022
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 161, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.240.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: 114053023
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 162, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.240.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: 114053024
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 3, 'counter': 163, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '960.6453.320.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '320.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '320.1063', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1063, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}.C_8', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 114053025
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 164, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6453.480.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': '480.1047', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1047, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}:C_{24}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114053026
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 1, 'counter': 165, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.480.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114053027
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.480.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114053028
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6453.480.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114053029
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6453', 'ambient_counter': 6453, 'ambient_order': 960, 'ambient_tex': 'D_{20}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 1, 'counter': 168, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '960.6453.960.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': '960.6453', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6453, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 960, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}.C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C8'], '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: 114052953
    {'ambient': '960.6453', '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': '80.b1.a1', 'complements': ['960.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.d1.b1', '2.e1.a1', '2.e1.b1', '3.a1.a1', '5.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7633, 7183, 2118, 7603, 3105, 3144, 3248, 3087], 'generators': [1, 4, 480, 120, 240, 192, 2, 640], 'label': '960.6453.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.b1', '2.d1.a1', '2.e1.b1', '2.e1.a1', '3.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053004
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '120.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '40.d1.a1', '60.b1.a1', '60.d1.a1', '60.e1.a1'], 'contains': ['240.b1.a1', '240.d1.a1', '240.e1.b1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [4261, -1, 5196, -1, 6147, -1, 6068, -1], 'generators': [460, 240], 'label': '960.6453.120.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.d1.a1', 'projective_image': '240.200', '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: 114052954
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '4.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 4, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.a1.b1', '8.b1.a1', '8.c1.a1', '8.c1.b1', '8.d1.a1', '8.h1.a1', '12.a1.a1', '20.b1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3020, 2577, 6951, 2585, 7982, 8072, 8110, 7819], 'generators': [1, 192, 240, 640, 460, 480], 'label': '960.6453.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.b1', '8.a1.a1', '8.b1.a1', '8.c1.b1', '8.c1.a1', '8.d1.a1', '8.h1.a1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114052955
    {'ambient': '960.6453', 'aut_centralizer_order': 160, 'aut_label': '40.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '20.a1.a1', '20.d1.a1', '20.e1.b1'], 'contains': ['80.b1.a1', '120.b1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5902, 4345, 4209, 4263, 5435, 5247, 5046, 5041], 'generators': [120, 640, 240, 480], 'label': '960.6453.40.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': ['8.e1.a1', '20.a1.a1'], 'normal_contains': ['80.b1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.a1', 'projective_image': '80.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.3', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114052956
    {'ambient': '960.6453', 'aut_centralizer_order': 160, 'aut_label': '40.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '2.d1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '20.a1.a1', '20.d1.b1', '20.e1.a1'], 'contains': ['80.b1.a1', '120.b1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5902, 4345, 4067, 4014, 5435, 5247, 5187, 4817], 'generators': [601, 640, 720, 480], 'label': '960.6453.40.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1.b1', 'normal_contained_in': ['8.e1.b1', '20.a1.a1'], 'normal_contains': ['80.b1.a1', '120.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.b1', 'projective_image': '80.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.3', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114052957
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 160, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.b1.a1'], 'contains': ['80.a1.a1', '80.d1.a1', '80.e1.a1', '120.c1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [2080, -1, 6959, -1, 9213, -1, 8765, -1], 'generators': [1, 460, 640, 480], 'label': '960.6453.40.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.c1.a1', 'projective_image': '160.200', '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': '4.2'}
  • id: 114052958
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 160, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '20.b1.a1'], 'contains': ['80.a1.a1', '80.d1.b1', '80.e1.b1', '120.c1.b1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [2080, -1, 7402, -1, 9213, -1, 9424, -1], 'generators': [1, 220, 640, 480], 'label': '960.6453.40.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.c1.b1', 'projective_image': '160.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114052959
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '20.b1.a1', '20.d1.a1', '20.e1.a1'], 'contains': ['80.b1.a1', '80.d1.a1', '80.e1.b1', '120.d1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [4451, -1, 5027, -1, 7121, -1, 7042, -1], 'generators': [460, 240, 640, 480], 'label': '960.6453.40.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.d1.a1', 'projective_image': '80.50', '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': '2.1'}
  • id: 114052960
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '20.b1.a1', '20.d1.b1', '20.e1.b1'], 'contains': ['80.b1.a1', '80.d1.b1', '80.e1.a1', '120.d1.b1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [4451, -1, 5336, -1, 7121, -1, 6781, -1], 'generators': [941, 240, 640, 480], 'label': '960.6453.40.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.d1.b1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114052961
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '16.11', 'aut_weyl_index': 80, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '20.b1.a1'], 'contains': ['80.c1.a1', '80.d1.a1', '80.d1.b1', '120.e1.a1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [2889, -1, 8078, -1, 8343, -1, 8985, -1], 'generators': [241, 460, 640, 480], 'label': '960.6453.40.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.e1.a1', 'projective_image': '160.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114052962
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '5.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '20.c1.a1', '20.d1.a1', '20.d1.b1', '20.f1.a1', '20.g1.a1', '20.h1.a1', '20.h1.b1'], 'contains': ['80.b1.a1', '120.f1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7852, -1, 2379, -1, 3587, -1, 3666, -1], 'generators': [4, 640, 240, 480], 'label': '960.6453.40.f1.a1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.f1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114052963
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '20.c1.a1', '20.e1.a1', '20.e1.b1'], 'contains': ['80.b1.a1', '120.g1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5343, -1, 4603, -1, 5242, -1, 5328, -1], 'generators': [5, 640, 240, 480], 'label': '960.6453.40.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.g1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114052964
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '16.11', 'aut_weyl_index': 80, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '20.b1.a1'], 'contains': ['80.c1.a1', '80.e1.a1', '80.e1.b1', '120.h1.a1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [3950, -1, 6515, -1, 7654, -1, 7871, -1], 'generators': [241, 220, 640, 480], 'label': '960.6453.40.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.h1.a1', 'projective_image': '160.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114052965
    {'ambient': '960.6453', 'aut_centralizer_order': 20, 'aut_label': '4.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '64.196', 'aut_weyl_index': 20, 'centralizer': '16.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.e1.a1', '8.e1.b1', '12.b1.a1', '20.a1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5556, 4239, 5043, 4539, 6859, 6538, 6284, 6028], 'generators': [1, 480, 640, 192, 120, 240], 'label': '960.6453.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '8.e1.a1', '8.e1.b1', '12.b1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '16.10'}
  • id: 114052966
    {'ambient': '960.6453', 'aut_centralizer_order': 160, 'aut_label': '48.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.a1.b1', '24.b1.a1'], 'contains': ['96.a1.a1', '96.b1.a1', '240.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1145, 1396, 8872, 2947, 8692, 7250, 7714, 7231], 'generators': [1, 192, 480], 'label': '960.6453.48.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.b1', '24.a1.a1', '24.b1.a1'], 'normal_contains': ['96.a1.a1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '480.1047', 'quotient_action_image': '8.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 114052967
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '48.b1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '40.12', 'aut_weyl_index': 32, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1', '24.c1.a1', '24.d1.a1'], 'contains': ['96.a1.a1', '96.c1.a1', '240.d1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [697, 1878, 9323, 1446, 8116, 7965, 7395, 6910], 'generators': [460, 192, 480], 'label': '960.6453.48.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.a1.a1', '24.c1.a1', '24.d1.a1'], 'normal_contains': ['96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '480.1047', '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': '40.12'}
  • id: 114052968
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '48.b1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '40.12', 'aut_weyl_index': 32, 'centralizer': '40.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '24.a1.b1', '24.c1.b1', '24.d1.a1'], 'contains': ['96.a1.a1', '96.c1.b1', '240.d1.b1'], 'core': '48.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [697, 1878, 8427, 1196, 8116, 7965, 7916, 7900], 'generators': [701, 192, 480], 'label': '960.6453.48.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1.b1', 'normal_contained_in': ['16.b1.b1', '24.a1.b1', '24.c1.b1', '24.d1.a1'], 'normal_contains': ['96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.b1', 'projective_image': '480.1047', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114052969
    {'ambient': '960.6453', 'aut_centralizer_order': 320, 'aut_label': '48.c1', 'aut_quo_index': 96, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 320, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.b1.a1', '24.c1.a1', '24.c1.b1', '24.e1.a1', '24.e1.b1', '24.f1.a1', '24.g1.a1'], 'contains': ['96.a1.a1', '240.b1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3391, 4865, 6028, 4940, 5604, 5041, 5453, 5382], 'generators': [240, 480, 192], 'label': '960.6453.48.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.c1.a1', '24.b1.a1', '24.c1.b1', '24.c1.a1', '24.e1.a1', '24.e1.b1', '24.f1.a1', '24.g1.a1'], 'normal_contains': ['96.a1.a1', '240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': '240.200', 'quotient_action_image': '4.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 114053005
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '120.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.b1', '40.d1.b1', '60.b1.a1', '60.d1.b1', '60.e1.b1'], 'contains': ['240.b1.a1', '240.d1.b1', '240.e1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [4261, -1, 5840, -1, 6147, -1, 5850, -1], 'generators': [941, 240], 'label': '960.6453.120.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.d1.b1', 'projective_image': '240.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114052970
    {'ambient': '960.6453', 'aut_centralizer_order': 160, 'aut_label': '48.d1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.b1.a1', '24.d1.a1', '24.h1.a1'], 'contains': ['96.a1.a1', '240.c1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2525, 2733, 8622, 911, 7018, 8262, 6874, 6684], 'generators': [241, 480, 192], 'label': '960.6453.48.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.d1.a1', 'normal_contained_in': ['16.d1.a1', '24.b1.a1', '24.d1.a1', '24.h1.a1'], 'normal_contains': ['96.a1.a1', '240.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.d1.a1', 'projective_image': '480.1047', 'quotient_action_image': '8.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 114052971
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '48.e1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '40.12', 'aut_weyl_index': 32, 'centralizer': '40.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.a1.a1', '24.c1.b1', '24.h1.a1'], 'contains': ['96.a1.a1', '240.e1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1680, 2225, 7728, 2196, 7566, 8561, 6730, 8132], 'generators': [941, 192, 480], 'label': '960.6453.48.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.e1.a1', 'normal_contained_in': ['16.e1.a1', '24.a1.a1', '24.c1.b1', '24.h1.a1'], 'normal_contains': ['96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.e1.a1', 'projective_image': '480.1047', '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': '40.12'}
  • id: 114052972
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '48.e1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '40.12', 'aut_weyl_index': 32, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.b1', '24.a1.b1', '24.c1.a1', '24.h1.a1'], 'contains': ['96.a1.a1', '240.e1.b1'], 'core': '48.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1680, 2225, 7232, 1703, 7566, 8561, 7018, 8366], 'generators': [220, 192, 480], 'label': '960.6453.48.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.e1.b1', 'normal_contained_in': ['16.e1.b1', '24.a1.b1', '24.c1.a1', '24.h1.a1'], 'normal_contains': ['96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.e1.b1', 'projective_image': '480.1047', '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': '40.12'}
  • id: 114052973
    {'ambient': '960.6453', 'aut_centralizer_order': 160, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 160, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '20.a1.a1', '30.a1.a1'], 'contains': ['120.a1.a1', '120.b1.a1', '120.b1.b1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6307, 5193, 3843, 4854, 5037, 5560, 4286, 4344], 'generators': [1, 120], 'label': '960.6453.60.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': ['12.b1.a1', '20.a1.a1'], 'normal_contains': ['120.a1.a1', '120.b1.a1', '120.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '60.a1.a1', 'projective_image': '240.200', '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': '4.2'}
  • id: 114052974
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '60.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '8.3', 'aut_weyl_index': 160, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.b1.a1', '30.a1.a1'], 'contains': ['120.a1.a1', '120.c1.a1', '120.c1.b1', '120.d1.a1', '120.d1.b1', '120.e1.a1', '120.h1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [4093, -1, 6320, -1, 6484, -1, 6315, -1], 'generators': [1, 460, 240], 'label': '960.6453.60.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.b1.a1', 'projective_image': '240.200', '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: 114052975
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '60.c1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '20.c1.a1', '30.a1.a1', '30.b1.a1', '30.c1.a1'], 'contains': ['120.a1.a1', '120.f1.a1', '120.g1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [6754, -1, 3313, -1, 3044, -1, 3051, -1], 'generators': [1, 4], 'label': '960.6453.60.c1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.c1.a1', 'projective_image': '240.200', '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': '2.1'}
  • id: 114052976
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '160.236', 'aut_weyl_index': 8, 'centralizer': '40.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.b1.a1', '8.f1.a1', '8.g1.a1', '12.c1.a1', '20.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5096, 7286, 4269, 5126, 5063, 4765, 5018, 5079], 'generators': [1, 192, 640, 240, 4, 480], 'label': '960.6453.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.b1.a1', '8.f1.a1', '8.g1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '80.50', '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': '40.12'}
  • id: 114052977
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '20.d1.a1', '30.a1.a1', '30.d1.a1', '30.e1.a1'], 'contains': ['120.b1.a1', '120.d1.a1', '120.f1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7425, -1, 2961, -1, 3342, -1, 3486, -1], 'generators': [4, 120], 'label': '960.6453.60.d1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.d1.a1', 'projective_image': '240.200', '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': '2.1'}
  • id: 114052978
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.b1', '20.d1.b1', '30.a1.a1', '30.d1.b1', '30.e1.b1'], 'contains': ['120.b1.b1', '120.d1.b1', '120.f1.a1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [7425, -1, 2492, -1, 3342, -1, 3268, -1], 'generators': [601, 4], 'label': '960.6453.60.d1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.d1.b1', 'projective_image': '240.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114052979
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '20.e1.a1', '30.a1.a1'], 'contains': ['120.b1.b1', '120.d1.a1', '120.g1.a1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [5651, -1, 4304, -1, 4625, -1, 4895, -1], 'generators': [601, 460], 'label': '960.6453.60.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.e1.a1', 'projective_image': '240.200', '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': '4.2'}
  • id: 114052980
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.b1', '20.e1.b1', '30.a1.a1'], 'contains': ['120.b1.a1', '120.d1.b1', '120.g1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5651, -1, 4575, -1, 4625, -1, 4587, -1], 'generators': [5, 120], 'label': '960.6453.60.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.e1.b1', 'projective_image': '240.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114052981
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '4.1', 'aut_weyl_index': 320, 'centralizer': '5.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '20.f1.a1', '30.b1.a1', '30.d1.a1', '30.d1.b1'], 'contains': ['120.f1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9533, -1, 1070, -1, 1439, -1, 1398, -1], 'generators': [3], 'label': '960.6453.60.f1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.f1.a1', 'projective_image': '240.200', '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': '1.1'}
  • id: 114052982
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '60.g1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '4.1', 'aut_weyl_index': 320, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '20.g1.a1', '30.b1.a1', '30.e1.a1', '30.e1.b1'], 'contains': ['120.f1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9029, -1, 1798, -1, 1150, -1, 2033, -1], 'generators': [2], 'label': '960.6453.60.g1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.g1.a1', 'projective_image': '240.200', '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': '2.1'}
  • id: 114052983
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.1', 'aut_weyl_index': 320, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1', '20.h1.a1', '30.c1.a1', '30.d1.b1', '30.e1.a1'], 'contains': ['120.f1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8479, -1, 749, -1, 1868, -1, 1716, -1], 'generators': [702], 'label': '960.6453.60.h1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.h1.a1', 'projective_image': '240.200', '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': '2.1'}
  • id: 114052984
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.1', 'aut_weyl_index': 320, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.b1', '20.h1.b1', '30.c1.a1', '30.d1.a1', '30.e1.b1'], 'contains': ['120.f1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8479, -1, 1392, -1, 1868, -1, 1127, -1], 'generators': [223], 'label': '960.6453.60.h1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.h1.b1', 'projective_image': '240.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114052985
    {'ambient': '960.6453', 'aut_centralizer_order': 160, 'aut_label': '64.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '4.b1.a1', 'complements': ['15.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.c1.b1'], 'contains': ['192.a1.a1', '320.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [178, 574, 9574, 697, 8970, 8248, 8824, 7653], 'generators': [640, 192], 'label': '960.6453.64.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['192.a1.a1', '320.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '320.1063', 'quotient_action_image': '4.1', 'quotient_action_kernel': '16.6', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 114052986
    {'ambient': '960.6453', 'aut_centralizer_order': 320, 'aut_label': '80.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '40.a1.a1', '40.c1.a1', '40.c1.b1'], 'contains': ['160.a1.a1', '160.b1.a1', '240.a1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1959, 2286, 7505, 2701, 9213, 6751, 8879, 7613], 'generators': [1, 480, 640], 'label': '960.6453.80.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': ['16.a1.a1', '40.a1.a1'], 'normal_contains': ['160.a1.a1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.a1.a1', 'projective_image': '160.200', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.3', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053006
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '120.e1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '8.3', 'aut_weyl_index': 160, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '40.e1.a1', '60.b1.a1'], 'contains': ['240.c1.a1', '240.d1.a1', '240.d1.b1'], 'core': '240.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [2721, -1, 8113, -1, 7194, -1, 7265, -1], 'generators': [241, 460], 'label': '960.6453.120.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.e1.a1', 'projective_image': '480.1047', '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': '4.2'}
  • id: 114052987
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 8, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.c1.a1', '8.e1.a1', '8.f1.a1', '12.d1.a1', '20.d1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6099, 5029, 4015, 5594, 5426, 3620, 5547, 4657], 'generators': [4, 192, 640, 240, 120, 480], 'label': '960.6453.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.c1.a1', '8.e1.a1', '8.f1.a1', '12.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114052988
    {'ambient': '960.6453', 'aut_centralizer_order': 640, 'aut_label': '80.b1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '40.a1.a1', '40.b1.a1', '40.b1.b1', '40.d1.a1', '40.d1.b1', '40.f1.a1', '40.g1.a1'], 'contains': ['160.a1.a1', '240.b1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4970, 3768, 5124, 3749, 6392, 5853, 6248, 6196], 'generators': [240, 640, 480], 'label': '960.6453.80.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.b1.a1', 'normal_contained_in': ['16.c1.a1', '40.a1.a1', '40.b1.a1', '40.b1.b1'], 'normal_contains': ['160.a1.a1', '240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.b1.a1', 'projective_image': '80.50', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.50', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114052989
    {'ambient': '960.6453', 'aut_centralizer_order': 320, 'aut_label': '80.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '40.a1.a1', '40.e1.a1', '40.h1.a1'], 'contains': ['160.a1.a1', '240.c1.a1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3141, 2886, 7887, 2385, 7369, 7669, 8199, 6460], 'generators': [241, 640, 480], 'label': '960.6453.80.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.c1.a1', 'normal_contained_in': ['16.d1.a1', '40.a1.a1'], 'normal_contains': ['160.a1.a1', '240.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.c1.a1', 'projective_image': '160.200', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.3', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114052990
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '40.c1.a1', '40.d1.a1', '40.e1.a1'], 'contains': ['160.a1.a1', '160.c1.a1', '240.d1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [1574, -1, 8162, -1, 8363, -1, 8520, -1], 'generators': [460, 480, 640], 'label': '960.6453.80.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '80.d1.a1', 'projective_image': '160.200', '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': '2.1'}
  • id: 114052991
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '40.c1.b1', '40.d1.b1', '40.e1.a1'], 'contains': ['160.a1.a1', '160.c1.b1', '240.d1.b1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [1574, -1, 7713, -1, 8363, -1, 9097, -1], 'generators': [701, 480, 640], 'label': '960.6453.80.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '80.d1.b1', 'projective_image': '160.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114052992
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '80.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '40.c1.a1', '40.d1.b1', '40.h1.a1'], 'contains': ['160.a1.a1', '240.e1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [2533, -1, 6836, -1, 7921, -1, 8058, -1], 'generators': [941, 640, 480], 'label': '960.6453.80.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '80.e1.a1', 'projective_image': '160.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114052993
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '80.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.b1', '40.c1.b1', '40.d1.a1', '40.h1.a1'], 'contains': ['160.a1.a1', '240.e1.b1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [2533, -1, 6030, -1, 7921, -1, 8341, -1], 'generators': [220, 640, 480], 'label': '960.6453.80.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '80.e1.b1', 'projective_image': '160.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114052994
    {'ambient': '960.6453', 'aut_centralizer_order': 320, 'aut_label': '96.a1', 'aut_quo_index': 96, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 320, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.b1.b1', '48.c1.a1', '48.d1.a1', '48.e1.a1', '48.e1.b1'], 'contains': ['192.a1.a1', '480.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [902, 1552, 8899, 1339, 7932, 7955, 7257, 7429], 'generators': [480, 192], 'label': '960.6453.96.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.b1', '48.b1.a1', '48.c1.a1', '48.d1.a1', '48.e1.b1', '48.e1.a1'], 'normal_contains': ['192.a1.a1', '480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '480.1047', 'quotient_action_image': '4.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 114052995
    {'ambient': '960.6453', 'aut_centralizer_order': 160, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 320, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.a1.a1'], 'contains': ['192.a1.a1', '480.b1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [540, -1, 9516, -1, 8777, -1, 8453, -1], 'generators': [1, 192], 'label': '960.6453.96.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.b1.a1', 'projective_image': '960.6453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 114052996
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '20.3', 'aut_weyl_index': 64, 'centralizer': '40.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.b1.a1'], 'contains': ['192.a1.a1', '480.c1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [275, -1, 9755, -1, 8444, -1, 8325, -1], 'generators': [460, 192], 'label': '960.6453.96.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '96.c1.a1', 'projective_image': '960.6453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 114052997
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '20.3', 'aut_weyl_index': 64, 'centralizer': '40.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.b1', '48.b1.b1'], 'contains': ['192.a1.a1', '480.c1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [275, -1, 8766, -1, 8444, -1, 8581, -1], 'generators': [701, 192], 'label': '960.6453.96.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '96.c1.b1', 'projective_image': '960.6453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1.b1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 114052998
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 8, 'centralizer': '40.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.b1', '2.e1.b1'], 'contains': ['8.c1.b1', '8.e1.b1', '8.f1.a1', '12.d1.b1', '20.d1.b1'], 'core': '4.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6099, 5029, 3697, 6710, 5426, 3620, 5284, 5501], 'generators': [601, 192, 640, 720, 4, 480], 'label': '960.6453.4.d1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.b1', 'normal_contained_in': ['2.a1.a1', '2.d1.b1', '2.e1.b1'], 'normal_contains': ['8.c1.b1', '8.e1.b1', '8.f1.a1', '12.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.b1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114052999
    {'ambient': '960.6453', 'aut_centralizer_order': 640, 'aut_label': '120.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '40.a1.a1', '60.a1.a1', '60.b1.a1', '60.c1.a1'], 'contains': ['240.a1.a1', '240.b1.a1', '240.c1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4758, 4181, 6290, 4178, 5849, 6275, 5632, 5829], 'generators': [1, 240], 'label': '960.6453.120.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.a1.a1', 'normal_contained_in': ['24.b1.a1', '40.a1.a1', '60.a1.a1'], 'normal_contains': ['240.a1.a1', '240.b1.a1', '240.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.a1.a1', 'projective_image': '240.200', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.6', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053000
    {'ambient': '960.6453', 'aut_centralizer_order': 320, 'aut_label': '120.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '40.b1.a1', '60.a1.a1', '60.d1.a1', '60.e1.b1'], 'contains': ['240.b1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6029, 5125, 4208, 5368, 4934, 5477, 4437, 4903], 'generators': [120], 'label': '960.6453.120.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.b1.a1', 'normal_contained_in': ['24.e1.a1', '40.b1.a1', '60.a1.a1'], 'normal_contains': ['240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.a1', 'projective_image': '240.200', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.6', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053001
    {'ambient': '960.6453', 'aut_centralizer_order': 320, 'aut_label': '120.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '2.d1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.e1.b1', '40.b1.b1', '60.a1.a1', '60.d1.b1', '60.e1.a1'], 'contains': ['240.b1.a1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6029, 5125, 3917, 4795, 4934, 5477, 4722, 4580], 'generators': [601], 'label': '960.6453.120.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.b1.b1', 'normal_contained_in': ['24.e1.b1', '40.b1.b1', '60.a1.a1'], 'normal_contains': ['240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.b1', 'projective_image': '240.200', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.6', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053002
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.c1.a1', '60.b1.a1'], 'contains': ['240.a1.a1', '240.d1.a1', '240.e1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [2376, -1, 7229, -1, 7745, -1, 7150, -1], 'generators': [1, 460], 'label': '960.6453.120.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.c1.a1', 'projective_image': '480.1047', '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': '4.2'}
  • id: 114053003
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1.b1', '40.c1.b1', '60.b1.a1'], 'contains': ['240.a1.a1', '240.d1.b1', '240.e1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [2376, -1, 7012, -1, 7745, -1, 7525, -1], 'generators': [1, 220], 'label': '960.6453.120.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.c1.b1', 'projective_image': '480.1047', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.c1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114053007
    {'ambient': '960.6453', 'aut_centralizer_order': 128, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '5.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '40.f1.a1', '60.c1.a1', '60.d1.a1', '60.d1.b1', '60.f1.a1', '60.g1.a1', '60.h1.a1', '60.h1.b1'], 'contains': ['240.b1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7713, -1, 2182, -1, 2919, -1, 2959, -1], 'generators': [4], 'label': '960.6453.120.f1.a1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.f1.a1', 'projective_image': '240.200', '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': '1.1'}
  • id: 114053008
    {'ambient': '960.6453', 'aut_centralizer_order': 128, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '40.g1.a1', '60.c1.a1', '60.e1.a1', '60.e1.b1'], 'contains': ['240.b1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5483, -1, 4498, -1, 4625, -1, 4857, -1], 'generators': [5], 'label': '960.6453.120.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.g1.a1', 'projective_image': '240.200', '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': '2.1'}
  • id: 114053009
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 8, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.e1.b1', '8.g1.a1', '12.e1.a1', '20.e1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4402, 3394, 5399, 3369, 6375, 5803, 6951, 6592], 'generators': [601, 192, 640, 720, 460, 480], 'label': '960.6453.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.c1.a1', '8.e1.b1', '8.g1.a1', '12.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053010
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '8.3', 'aut_weyl_index': 160, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '40.h1.a1', '60.b1.a1'], 'contains': ['240.c1.a1', '240.e1.a1', '240.e1.b1'], 'core': '240.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [3698, -1, 6668, -1, 6843, -1, 6599, -1], 'generators': [241, 220], 'label': '960.6453.120.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.h1.a1', 'projective_image': '480.1047', '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': '4.2'}
  • id: 114053011
    {'ambient': '960.6453', 'aut_centralizer_order': 640, 'aut_label': '160.a1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '80.a1.a1', '80.b1.a1', '80.c1.a1', '80.d1.a1', '80.d1.b1', '80.e1.a1', '80.e1.b1'], 'contains': ['320.a1.a1', '480.a1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1872, 2083, 7660, 1951, 8286, 7436, 8209, 7226], 'generators': [480, 640], 'label': '960.6453.160.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': ['32.a1.a1', '80.a1.a1', '80.b1.a1', '80.c1.a1'], 'normal_contains': ['320.a1.a1', '480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '160.a1.a1', 'projective_image': '160.200', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.200', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114053012
    {'ambient': '960.6453', 'aut_centralizer_order': 320, 'aut_label': '160.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '80.a1.a1'], 'contains': ['320.a1.a1', '480.b1.a1'], 'core': '320.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1008, -1, 9120, -1, 9178, -1, 8953, -1], 'generators': [1, 640], 'label': '960.6453.160.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '160.b1.a1', 'projective_image': '320.1063', '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': '1.1'}
  • id: 114053013
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '160.c1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '80.d1.a1'], 'contains': ['320.a1.a1', '480.c1.a1'], 'core': '320.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [620, -1, 9314, -1, 8602, -1, 8696, -1], 'generators': [460, 640], 'label': '960.6453.160.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1.a1', 'old_label': '160.c1.a1', 'projective_image': '320.1063', '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': '1.1'}
  • id: 114053014
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '160.c1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.b1', '80.d1.b1'], 'contains': ['320.a1.a1', '480.c1.b1'], 'core': '320.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [620, -1, 8586, -1, 8602, -1, 9087, -1], 'generators': [701, 640], 'label': '960.6453.160.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1.b1', 'old_label': '160.c1.b1', 'projective_image': '320.1063', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114053015
    {'ambient': '960.6453', 'aut_centralizer_order': 320, 'aut_label': '192.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 320, 'centralizer': '4.b1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1', '96.c1.b1'], 'contains': ['960.a1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [233, 785, 9604, 868, 8602, 7955, 8382, 7429], 'generators': [192], 'label': '960.6453.192.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.a1.a1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': '960.6453', 'quotient_action_image': '4.1', 'quotient_action_kernel': '48.24', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 114053016
    {'ambient': '960.6453', 'aut_centralizer_order': 640, 'aut_label': '240.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1', '120.c1.a1', '120.c1.b1'], 'contains': ['480.a1.a1', '480.b1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2144, 2137, 7339, 2892, 8118, 6971, 7525, 7030], 'generators': [1, 480], 'label': '960.6453.240.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '240.a1.a1', 'normal_contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.a1.a1', 'projective_image': '480.1047', 'quotient_action_image': '2.1', 'quotient_action_kernel': '120.6', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '240.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053017
    {'ambient': '960.6453', 'aut_centralizer_order': 1280, 'aut_label': '240.b1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1280, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '80.b1.a1', '120.a1.a1', '120.b1.a1', '120.b1.b1', '120.d1.a1', '120.d1.b1', '120.f1.a1', '120.g1.a1'], 'contains': ['480.a1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4880, 4181, 4731, 4452, 5726, 5853, 5542, 5605], 'generators': [240], 'label': '960.6453.240.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '240.b1.a1', 'normal_contained_in': ['48.c1.a1', '80.b1.a1', '120.a1.a1', '120.b1.a1', '120.b1.b1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.b1.a1', 'projective_image': '240.200', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.200', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114053018
    {'ambient': '960.6453', 'aut_centralizer_order': 640, 'aut_label': '240.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '80.c1.a1', '120.a1.a1', '120.e1.a1', '120.h1.a1'], 'contains': ['480.a1.a1'], 'core': '240.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3066, 2844, 7796, 1545, 7106, 7676, 6889, 6572], 'generators': [241], 'label': '960.6453.240.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '240.c1.a1', 'normal_contained_in': ['48.d1.a1', '80.c1.a1', '120.a1.a1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.c1.a1', 'projective_image': '480.1047', 'quotient_action_image': '2.1', 'quotient_action_kernel': '120.6', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '240.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053019
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1.a1', '80.d1.a1', '120.c1.a1', '120.d1.a1', '120.e1.a1'], 'contains': ['480.a1.a1', '480.c1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [1658, -1, 8145, -1, 7745, -1, 7393, -1], 'generators': [460, 480], 'label': '960.6453.240.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '240.d1.a1', 'projective_image': '480.1047', '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: 114053020
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 8, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.b1', '8.e1.a1', '8.g1.a1', '12.e1.b1', '20.e1.b1'], 'core': '4.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4402, 3394, 5930, 3916, 6375, 5803, 6640, 7086], 'generators': [5, 192, 640, 240, 120, 480], 'label': '960.6453.4.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.e1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.c1.b1', '8.e1.a1', '8.g1.a1', '12.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.b1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.b1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053021
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1.b1', '80.d1.b1', '120.c1.b1', '120.d1.b1', '120.e1.a1'], 'contains': ['480.a1.a1', '480.c1.b1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [1658, -1, 7465, -1, 7745, -1, 7656, -1], 'generators': [701, 480], 'label': '960.6453.240.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '240.d1.b1', 'projective_image': '480.1047', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053022
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '240.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '80.e1.a1', '120.c1.a1', '120.d1.b1', '120.h1.a1'], 'contains': ['480.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [2540, -1, 7012, -1, 7573, -1, 6759, -1], 'generators': [941], 'label': '960.6453.240.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '240.e1.a1', 'projective_image': '480.1047', '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: 114053023
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '240.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.b1', '80.e1.b1', '120.c1.b1', '120.d1.a1', '120.h1.a1'], 'contains': ['480.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [2540, -1, 6576, -1, 7573, -1, 7073, -1], 'generators': [220], 'label': '960.6453.240.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '240.e1.b1', 'projective_image': '480.1047', '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: 114053118
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '40.12', 'aut_weyl_index': 32, 'centralizer': '40.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1'], 'contains': ['64.a1.a1', '96.c1.a1', '160.c1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [132, -1, 9889, -1, 9513, -1, 9316, -1], 'generators': [460, 192, 640], 'label': '960.6453.32.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '32.c1.a1', 'projective_image': '320.1063', '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': '20.3'}
  • id: 114053024
    {'ambient': '960.6453', 'aut_centralizer_order': 640, 'aut_label': '320.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 640, 'centralizer': '1.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '160.a1.a1', '160.b1.a1', '160.c1.a1', '160.c1.b1'], 'contains': ['960.a1.a1'], 'core': '320.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [615, 957, 9225, 1023, 8917, 7709, 8792, 7236], 'generators': [640], 'label': '960.6453.320.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '320.a1.a1', 'normal_contained_in': ['64.a1.a1', '160.a1.a1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '320.a1.a1', 'projective_image': '320.1063', 'quotient_action_image': '1.1', 'quotient_action_kernel': '320.1063', 'quotient_action_kernel_order': 320, 'quotient_fusion': None, 'short_label': '320.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114053025
    {'ambient': '960.6453', 'aut_centralizer_order': 1280, 'aut_label': '480.a1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1280, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1', '240.b1.a1', '240.c1.a1', '240.d1.a1', '240.d1.b1', '240.e1.a1', '240.e1.b1'], 'contains': ['960.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2078, 2324, 7506, 1815, 7840, 7456, 7326, 7048], 'generators': [480], 'label': '960.6453.480.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.a1.a1', 'normal_contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1', '240.b1.a1', '240.c1.a1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '480.a1.a1', 'projective_image': '480.1047', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.1047', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114053026
    {'ambient': '960.6453', 'aut_centralizer_order': 640, 'aut_label': '480.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1280, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.b1.a1', '160.b1.a1', '240.a1.a1'], 'contains': ['960.a1.a1'], 'core': '960.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [985, -1, 9097, -1, 8759, -1, 8498, -1], 'generators': [1], 'label': '960.6453.480.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '240.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '480.b1.a1', 'projective_image': '960.6453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114053027
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '480.c1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1280, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.c1.a1', '160.c1.a1', '240.d1.a1'], 'contains': ['960.a1.a1'], 'core': '960.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [737, -1, 9325, -1, 8444, -1, 8267, -1], 'generators': [460], 'label': '960.6453.480.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1.a1', 'old_label': '480.c1.a1', 'projective_image': '960.6453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114053028
    {'ambient': '960.6453', 'aut_centralizer_order': 64, 'aut_label': '480.c1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1280, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.c1.b1', '160.c1.b1', '240.d1.b1'], 'contains': ['960.a1.a1'], 'core': '960.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [737, -1, 8699, -1, 8444, -1, 8613, -1], 'generators': [701], 'label': '960.6453.480.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1.b1', 'old_label': '480.c1.b1', 'projective_image': '960.6453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114053029
    {'ambient': '960.6453', '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', '480.c1.b1'], 'contains': [], 'core': '960.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [737, 957, 9126, 1023, 8602, 7709, 8440, 7236], 'generators': [], 'label': '960.6453.960.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '960.a1.a1', 'normal_contained_in': ['192.a1.a1', '320.a1.a1', '480.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '960.a1.a1', 'projective_image': '960.6453', '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: 114053030
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '4.f1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '160.203', 'aut_weyl_index': 8, 'centralizer': '20.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.d1.b1'], 'contains': ['8.f1.a1', '12.f1.a1', '20.f1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8693, 5857, 1509, 7869, 2623, 293, 2304, 3372], 'generators': [3, 192, 4, 240, 640, 480], 'label': '960.6453.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.b1', '2.d1.a1'], 'normal_contains': ['8.f1.a1', '12.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 114053031
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '4.g1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '160.203', 'aut_weyl_index': 8, 'centralizer': '40.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.e1.a1', '2.e1.b1'], 'contains': ['8.f1.a1', '12.g1.a1', '20.g1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8097, 8264, 3209, 6205, 1840, 1584, 4518, 2080], 'generators': [2, 192, 4, 240, 640, 480], 'label': '960.6453.4.g1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.b1', '2.e1.a1'], 'normal_contains': ['8.f1.a1', '12.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053032
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '160.203', 'aut_weyl_index': 8, 'centralizer': '40.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.b1', '2.e1.a1'], 'contains': ['8.f1.a1', '12.h1.a1', '20.h1.a1'], 'core': '4.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6839, 6599, 831, 7322, 3893, 938, 2970, 3865], 'generators': [702, 192, 388, 240, 640, 480], 'label': '960.6453.4.h1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.h1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.b1', '2.e1.a1'], 'normal_contains': ['8.f1.a1', '12.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053033
    {'ambient': '960.6453', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '640.21483', 'aut_weyl_index': 2, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.d1.b1', '4.e1.a1', '4.e1.b1', '6.a1.a1', '10.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5211, 5029, 4385, 5126, 5654, 5260, 5714, 5501], 'generators': [1, 480, 120, 640, 4, 192, 240], 'label': '960.6453.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.b1', '4.d1.a1', '4.e1.b1', '4.e1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053034
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '160.203', 'aut_weyl_index': 8, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.b1'], 'contains': ['8.f1.a1', '12.h1.b1', '20.h1.b1'], 'core': '4.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6839, 6599, 2613, 8737, 3893, 938, 1730, 2878], 'generators': [223, 192, 868, 240, 640, 480], 'label': '960.6453.4.h1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.h1.b1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.b1'], 'normal_contains': ['8.f1.a1', '12.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.b1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053035
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '64.196', 'aut_weyl_index': 20, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.b1.a1', '10.c1.a1', '10.d1.a1', '10.d1.b1', '10.e1.a1', '10.e1.b1', '15.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9268, -1, 694, -1, 3105, -1, 3248, -1], 'generators': [1, 240, 4, 2, 480, 120, 640], 'label': '960.6453.5.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114053036
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 4, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '12.d1.a1', '12.d1.b1', '12.e1.a1', '12.e1.b1', '30.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5249, 5881, 4397, 6874, 4737, 5260, 4780, 4280], 'generators': [1, 192, 120, 240, 4, 480], 'label': '960.6453.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '12.d1.b1', '12.d1.a1', '12.e1.b1', '12.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '240.200', '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': '80.50'}
  • id: 114053037
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '160.203', 'aut_weyl_index': 8, 'centralizer': '40.a1.a1', 'complements': ['160.c1.a1', '160.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.f1.a1', '12.g1.a1', '30.b1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8097, 9062, 2734, 7626, 193, 3024, 1227, 1133], 'generators': [1, 192, 4, 240, 2, 480], 'label': '960.6453.6.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.b1.a1', '3.a1.a1'], 'normal_contains': ['12.c1.a1', '12.f1.a1', '12.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '240.200', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053038
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '320.1603', 'aut_weyl_index': 4, 'centralizer': '80.b1.a1', 'complements': ['160.c1.a1', '160.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.h1.a1', '12.h1.b1', '30.c1.a1'], 'core': '6.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6905, 9773, 1968, 9481, 1432, 4189, 320, 1606], 'generators': [1, 192, 388, 240, 702, 480], 'label': '960.6453.6.c1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1.a1', 'normal_contained_in': ['2.c1.a1', '3.a1.a1'], 'normal_contains': ['12.c1.a1', '12.h1.a1', '12.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '240.200', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053119
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '40.12', 'aut_weyl_index': 32, 'centralizer': '40.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1'], 'contains': ['64.a1.a1', '96.c1.b1', '160.c1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [132, -1, 9048, -1, 9513, -1, 9679, -1], 'generators': [701, 192, 640], 'label': '960.6453.32.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '32.c1.b1', 'projective_image': '320.1063', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.b1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 114053039
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '6.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '160.203', 'aut_weyl_index': 8, 'centralizer': '40.b1.a1', 'complements': ['160.b1.a1', '160.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.d1.a1', '12.f1.a1', '12.h1.b1', '30.d1.a1'], 'core': '6.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7666, 7714, 2379, 9901, 1106, 2106, 81, 431], 'generators': [3, 192, 4, 240, 120, 480], 'label': '960.6453.6.d1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1.a1', 'normal_contained_in': ['2.d1.a1', '3.a1.a1'], 'normal_contains': ['12.d1.a1', '12.f1.a1', '12.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '6.d1.a1', 'projective_image': '240.200', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053040
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '6.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '160.203', 'aut_weyl_index': 8, 'centralizer': '40.b1.b1', 'complements': ['160.c1.a1', '160.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '3.a1.a1'], 'contains': ['12.d1.b1', '12.f1.a1', '12.h1.a1', '30.d1.b1'], 'core': '6.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7666, 7714, 1682, 8954, 1106, 2106, 558, 2479], 'generators': [601, 192, 388, 240, 702, 480], 'label': '960.6453.6.d1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1.b1', 'normal_contained_in': ['2.d1.b1', '3.a1.a1'], 'normal_contains': ['12.d1.b1', '12.f1.a1', '12.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.d1.b1', 'projective_image': '240.200', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.d1.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053041
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '160.203', 'aut_weyl_index': 8, 'centralizer': '80.b1.a1', 'complements': ['160.b1.a1', '160.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.d1.a1', '12.g1.a1', '12.h1.a1', '30.e1.a1'], 'core': '6.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7403, 8318, 2197, 8283, 537, 2502, 1478, 734], 'generators': [2, 192, 4, 240, 120, 480], 'label': '960.6453.6.e1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.e1.a1', 'normal_contained_in': ['2.e1.a1', '3.a1.a1'], 'normal_contains': ['12.d1.a1', '12.h1.a1', '12.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.e1.a1', 'projective_image': '240.200', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053042
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '160.203', 'aut_weyl_index': 8, 'centralizer': '80.b1.a1', 'complements': ['160.c1.a1', '160.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.b1', '3.a1.a1'], 'contains': ['12.d1.b1', '12.g1.a1', '12.h1.b1', '30.e1.b1'], 'core': '6.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7403, 8318, 3091, 8618, 537, 2502, 975, 128], 'generators': [601, 192, 4, 240, 2, 480], 'label': '960.6453.6.e1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.e1.b1', 'normal_contained_in': ['2.e1.b1', '3.a1.a1'], 'normal_contains': ['12.d1.b1', '12.h1.b1', '12.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.e1.b1', 'projective_image': '240.200', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.e1.b1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053043
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 8, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.e1.a1', '24.a1.a1', '40.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1491, 674, 8083, 2117, 9256, 8624, 8778, 8658], 'generators': [1, 640, 480, 460, 192], 'label': '960.6453.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.a1', '16.e1.a1', '24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '160.200', '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': '80.50'}
  • id: 114053044
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '320.1590', 'aut_weyl_index': 4, 'centralizer': '40.a1.a1', 'complements': ['480.c1.a1', '480.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.f1.a1', '4.g1.a1', '6.b1.a1', '10.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8406, 7553, 2713, 6236, 2231, 2771, 3887, 3334], 'generators': [1, 480, 640, 4, 2, 192, 240], 'label': '960.6453.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.f1.a1', '4.g1.a1', '6.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '80.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053045
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 8, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '16.b1.b1', '16.e1.b1', '24.a1.b1', '40.c1.b1'], 'core': '8.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1491, 674, 7039, 1647, 9256, 8624, 9373, 9508], 'generators': [1, 640, 480, 220, 192], 'label': '960.6453.8.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.b1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.b1', '16.e1.b1', '24.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.b1', 'projective_image': '160.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.b1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053046
    {'ambient': '960.6453', 'aut_centralizer_order': 80, 'aut_label': '8.b1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 80, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.c1.a1', '16.d1.a1', '24.b1.a1', '40.a1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3607, 3203, 7717, 3510, 7441, 7130, 7451, 6984], 'generators': [1, 640, 192, 240, 480], 'label': '960.6453.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.d1.a1', '24.b1.a1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '80.50', 'quotient_action_image': '8.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 114053047
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '8.c1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.b1.a1', '16.c1.a1', '16.e1.b1', '24.c1.a1', '40.d1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3244, 2577, 6202, 2585, 7800, 8072, 7977, 7402], 'generators': [460, 640, 480, 240, 192], 'label': '960.6453.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'normal_contains': ['16.b1.a1', '16.c1.a1', '16.e1.b1', '24.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '80.50', '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': '40.12'}
  • id: 114053048
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '8.c1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '40.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.b1', '4.e1.b1'], 'contains': ['16.b1.b1', '16.c1.a1', '16.e1.a1', '24.c1.b1', '40.d1.b1'], 'core': '8.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3244, 2577, 6454, 3047, 7800, 8072, 7714, 7819], 'generators': [941, 640, 480, 240, 192], 'label': '960.6453.8.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': ['4.a1.a1', '4.d1.b1', '4.e1.b1'], 'normal_contains': ['16.b1.b1', '16.c1.a1', '16.e1.a1', '24.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.b1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053049
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 4, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.b1.a1', '16.b1.b1', '16.d1.a1', '24.d1.a1', '40.e1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2036, 1308, 8460, 451, 8893, 9177, 9044, 8236], 'generators': [241, 640, 480, 460, 192], 'label': '960.6453.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.b1.b1', '16.b1.a1', '16.d1.a1', '24.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '160.200', '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': '80.50'}
  • id: 114053050
    {'ambient': '960.6453', 'aut_centralizer_order': 40, 'aut_label': '8.e1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 80, 'centralizer': '8.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.e1.b1'], 'contains': ['16.c1.a1', '24.e1.a1', '40.b1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4719, 4093, 5537, 4990, 6410, 5221, 5565, 5364], 'generators': [120, 192, 240, 640, 480], 'label': '960.6453.8.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.b1.a1', '4.d1.a1', '4.e1.b1'], 'normal_contains': ['16.c1.a1', '24.e1.a1', '40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '80.50', 'quotient_action_image': '8.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 114053051
    {'ambient': '960.6453', 'aut_centralizer_order': 40, 'aut_label': '8.e1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 80, 'centralizer': '8.e1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.b1', '4.e1.a1'], 'contains': ['16.c1.a1', '24.e1.b1', '40.b1.b1'], 'core': '8.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4719, 4093, 5033, 4454, 6410, 5221, 6075, 5117], 'generators': [601, 192, 720, 640, 480], 'label': '960.6453.8.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': ['4.b1.a1', '4.d1.b1', '4.e1.a1'], 'normal_contains': ['16.c1.a1', '24.e1.b1', '40.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.b1', 'projective_image': '80.50', 'quotient_action_image': '8.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '8.e1.b1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 114053052
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '8.f1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '20.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.a1', '4.d1.b1', '4.f1.a1', '4.g1.a1', '4.h1.a1', '4.h1.b1'], 'contains': ['16.c1.a1', '24.f1.a1', '40.f1.a1'], 'core': '8.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6099, 6736, 3763, 6211, 3523, 2026, 3621, 3611], 'generators': [4, 240, 480, 640, 192], 'label': '960.6453.8.f1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.f1.a1', 'normal_contained_in': ['4.c1.a1', '4.d1.b1', '4.d1.a1', '4.f1.a1', '4.h1.a1', '4.h1.b1', '4.g1.a1'], 'normal_contains': ['16.c1.a1', '24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 114053053
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '8.g1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '40.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.e1.a1', '4.e1.b1'], 'contains': ['16.c1.a1', '24.g1.a1', '40.g1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4234, 4887, 5845, 4082, 5637, 4385, 6640, 6262], 'generators': [5, 240, 480, 640, 192], 'label': '960.6453.8.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1.a1', 'normal_contained_in': ['4.c1.a1', '4.e1.b1', '4.e1.a1'], 'normal_contains': ['16.c1.a1', '24.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.g1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053054
    {'ambient': '960.6453', 'aut_centralizer_order': 4, 'aut_label': '8.h1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 4, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.d1.a1', '16.e1.a1', '16.e1.b1', '24.h1.a1', '40.h1.a1'], 'core': '8.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2624, 1942, 7447, 1061, 8529, 9729, 8510, 9083], 'generators': [241, 640, 480, 220, 192], 'label': '960.6453.8.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.h1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.d1.a1', '16.e1.b1', '16.e1.a1', '24.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.h1.a1', 'projective_image': '160.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053055
    {'ambient': '960.6453', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '640.21492', 'aut_weyl_index': 2, 'centralizer': '80.b1.a1', 'complements': ['480.c1.a1', '480.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.h1.a1', '4.h1.b1', '6.c1.a1', '10.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6839, 8410, 1401, 8509, 4045, 3517, 2560, 3904], 'generators': [1, 480, 640, 388, 702, 192, 240], 'label': '960.6453.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.h1.a1', '4.h1.b1', '6.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '80.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053056
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '32.46', 'aut_weyl_index': 40, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.b1.a1', '20.c1.a1', '20.d1.a1', '20.d1.b1', '20.e1.a1', '20.e1.b1', '30.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [6617, -1, 3521, -1, 5884, -1, 5882, -1], 'generators': [1, 480, 240, 4, 120, 640], 'label': '960.6453.10.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '80.50', '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': '4.2'}
  • id: 114053057
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '16.10', 'aut_weyl_index': 80, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.c1.a1', '20.f1.a1', '20.g1.a1', '30.b1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9763, -1, 1467, -1, 2231, -1, 3876, -1], 'generators': [1, 480, 240, 2, 640, 4], 'label': '960.6453.10.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '80.50', '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': '2.1'}
  • id: 114053058
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '32.48', 'aut_weyl_index': 40, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '5.a1.a1'], 'contains': ['20.c1.a1', '20.h1.a1', '20.h1.b1', '30.c1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8318, -1, 407, -1, 4349, -1, 2637, -1], 'generators': [1, 480, 240, 702, 640, 388], 'label': '960.6453.10.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.c1.a1', 'projective_image': '80.50', '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': '4.2'}
  • id: 114053059
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '16.10', 'aut_weyl_index': 80, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '5.a1.a1'], 'contains': ['20.d1.a1', '20.f1.a1', '20.h1.b1', '30.d1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9402, -1, 1099, -1, 3502, -1, 2017, -1], 'generators': [3, 480, 240, 120, 640, 4], 'label': '960.6453.10.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.d1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053060
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '16.10', 'aut_weyl_index': 80, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '5.a1.a1'], 'contains': ['20.d1.b1', '20.f1.a1', '20.h1.a1', '30.d1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [9402, -1, 111, -1, 3502, -1, 3257, -1], 'generators': [601, 480, 240, 702, 640, 388], 'label': '960.6453.10.d1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.d1.b1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053061
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '10.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '16.10', 'aut_weyl_index': 80, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '5.a1.a1'], 'contains': ['20.d1.a1', '20.g1.a1', '20.h1.a1', '30.e1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8977, -1, 804, -1, 3079, -1, 4185, -1], 'generators': [2, 480, 240, 120, 640, 4], 'label': '960.6453.10.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.e1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114053062
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '10.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '16.10', 'aut_weyl_index': 80, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.b1', '5.a1.a1'], 'contains': ['20.d1.b1', '20.g1.a1', '20.h1.b1', '30.e1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [8977, -1, 1762, -1, 3079, -1, 3567, -1], 'generators': [601, 480, 240, 2, 640, 4], 'label': '960.6453.10.e1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.e1.b1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.e1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114053063
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '160.207', 'aut_weyl_index': 8, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.a1.b1', '24.b1.a1', '24.c1.a1', '24.c1.b1', '24.d1.a1', '24.h1.a1', '60.b1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2836, 3768, 7323, 4316, 7132, 7599, 7225, 6626], 'generators': [1, 240, 480, 460, 192], 'label': '960.6453.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.b1', '24.a1.a1', '24.b1.a1', '24.c1.b1', '24.c1.a1', '24.d1.a1', '24.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '240.200', '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': '80.50'}
  • id: 114053064
    {'ambient': '960.6453', 'aut_centralizer_order': 40, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.25', 'aut_weyl_index': 40, 'centralizer': '16.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1'], 'contains': ['24.b1.a1', '24.e1.a1', '24.e1.b1', '60.a1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5154, 6072, 5172, 6276, 5212, 5749, 4927, 4105], 'generators': [1, 192, 240, 120, 480], 'label': '960.6453.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1', '24.e1.a1', '24.e1.b1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '240.200', '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': '16.10'}
  • id: 114053065
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '12.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '40.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.b1.a1', '24.f1.a1', '24.g1.a1', '60.c1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5751, 8852, 4440, 6930, 2858, 3830, 2914, 2838], 'generators': [1, 240, 480, 4, 192], 'label': '960.6453.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'normal_contains': ['24.b1.a1', '24.f1.a1', '24.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '240.200', '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': '40.12'}
  • id: 114053066
    {'ambient': '960.6453', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '320.1590', 'aut_weyl_index': 4, 'centralizer': '40.b1.a1', 'complements': ['480.b1.a1', '480.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.f1.a1', '4.h1.b1', '6.d1.a1', '10.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7949, 6072, 2337, 9140, 3554, 1481, 2108, 2347], 'generators': [3, 480, 640, 4, 120, 192, 240], 'label': '960.6453.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.f1.a1', '4.h1.b1', '6.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '80.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053067
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.a1.a1', '6.d1.a1', '6.e1.a1'], 'contains': ['24.c1.a1', '24.e1.a1', '24.f1.a1', '60.d1.a1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6086, 6759, 4208, 7745, 3191, 3324, 3377, 2451], 'generators': [4, 240, 480, 120, 192], 'label': '960.6453.12.d1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.d1.a1', 'normal_contained_in': ['4.d1.a1', '6.a1.a1', '6.d1.a1', '6.e1.a1'], 'normal_contains': ['24.c1.a1', '24.e1.a1', '24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '240.200', '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': '40.12'}
  • id: 114053068
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '40.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '6.a1.a1', '6.d1.b1', '6.e1.b1'], 'contains': ['24.c1.b1', '24.e1.b1', '24.f1.a1', '60.d1.b1'], 'core': '12.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6086, 6759, 3939, 7358, 3191, 3324, 3158, 3224], 'generators': [601, 720, 480, 4, 192], 'label': '960.6453.12.d1.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.d1.b1', 'normal_contained_in': ['4.d1.b1', '6.a1.a1', '6.d1.b1', '6.e1.b1'], 'normal_contains': ['24.c1.b1', '24.e1.b1', '24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.b1', 'projective_image': '240.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053069
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.a1.a1'], 'contains': ['24.c1.a1', '24.e1.b1', '24.g1.a1', '60.e1.a1'], 'core': '12.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4524, 5273, 5433, 5348, 4837, 4861, 5392, 4540], 'generators': [601, 720, 480, 460, 192], 'label': '960.6453.12.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.e1.a1', 'normal_contained_in': ['4.e1.a1', '6.a1.a1'], 'normal_contains': ['24.c1.a1', '24.e1.b1', '24.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '240.200', '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': '80.50'}
  • id: 114053070
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '6.a1.a1'], 'contains': ['24.c1.b1', '24.e1.a1', '24.g1.a1', '60.e1.b1'], 'core': '12.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4524, 5273, 5848, 5793, 4837, 4861, 5201, 4842], 'generators': [5, 240, 480, 120, 192], 'label': '960.6453.12.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.e1.b1', 'normal_contained_in': ['4.e1.b1', '6.a1.a1'], 'normal_contains': ['24.c1.b1', '24.e1.a1', '24.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.e1.b1', 'projective_image': '240.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.b1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053071
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '12.f1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '80.30', 'aut_weyl_index': 16, 'centralizer': '20.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.b1.a1', '6.d1.a1', '6.d1.b1'], 'contains': ['24.f1.a1', '60.f1.a1'], 'core': '12.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7964, 7397, 2304, 8440, 909, 1550, 732, 1823], 'generators': [3, 240, 480, 4, 192], 'label': '960.6453.12.f1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.f1.a1', 'normal_contained_in': ['4.f1.a1', '6.b1.a1', '6.d1.b1', '6.d1.a1'], 'normal_contains': ['24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '240.200', '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': '20.3'}
  • id: 114053072
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '12.g1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '80.30', 'aut_weyl_index': 16, 'centralizer': '40.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.b1.a1', '6.e1.a1', '6.e1.b1'], 'contains': ['24.f1.a1', '60.g1.a1'], 'core': '12.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7701, 8306, 2904, 8106, 291, 2898, 2121, 1133], 'generators': [2, 240, 480, 4, 192], 'label': '960.6453.12.g1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.g1.a1', 'normal_contained_in': ['4.g1.a1', '6.b1.a1', '6.e1.b1', '6.e1.a1'], 'normal_contains': ['24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.g1.a1', 'projective_image': '240.200', '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': '40.12'}
  • id: 114053073
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '80.30', 'aut_weyl_index': 16, 'centralizer': '40.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.c1.a1', '6.d1.b1', '6.e1.a1'], 'contains': ['24.f1.a1', '60.h1.a1'], 'core': '12.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7352, 7852, 2122, 8776, 1747, 2502, 1084, 2125], 'generators': [702, 240, 480, 388, 192], 'label': '960.6453.12.h1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.h1.a1', 'normal_contained_in': ['4.h1.a1', '6.c1.a1', '6.d1.b1', '6.e1.a1'], 'normal_contains': ['24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.h1.a1', 'projective_image': '240.200', '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': '40.12'}
  • id: 114053074
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '80.30', 'aut_weyl_index': 16, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.h1.b1', '6.c1.a1', '6.d1.a1', '6.e1.b1'], 'contains': ['24.f1.a1', '60.h1.b1'], 'core': '12.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7352, 7852, 2546, 9177, 1747, 2502, 280, 1520], 'generators': [223, 240, 480, 868, 192], 'label': '960.6453.12.h1.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.h1.b1', 'normal_contained_in': ['4.h1.b1', '6.c1.a1', '6.d1.a1', '6.e1.b1'], 'normal_contains': ['24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.h1.b1', 'projective_image': '240.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053075
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '32.25', 'aut_weyl_index': 40, 'centralizer': '20.f1.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.d1.b1', '30.e1.a1', '30.e1.b1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9621, -1, 626, -1, 821, -1, 767, -1], 'generators': [1, 2, 120], 'label': '960.6453.15.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '15.a1.a1', 'projective_image': '240.200', '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': '4.2'}
  • id: 114053076
    {'ambient': '960.6453', 'aut_centralizer_order': 80, 'aut_label': '16.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 80, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.a1.b1', '8.b1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '48.a1.a1', '80.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1147, 1583, 8675, 2489, 9841, 7539, 9664, 8618], 'generators': [1, 640, 192, 480], 'label': '960.6453.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.b1', '8.a1.a1', '8.b1.a1'], 'normal_contains': ['32.a1.a1', '48.a1.a1', '80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '160.200', 'quotient_action_image': '8.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 114053077
    {'ambient': '960.6453', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '320.1590', 'aut_weyl_index': 4, 'centralizer': '40.b1.b1', 'complements': ['480.c1.a1', '480.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.b1', '4.f1.a1', '4.h1.a1', '6.d1.b1', '10.d1.b1'], 'core': '2.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7949, 6072, 952, 7330, 3554, 1481, 2919, 4474], 'generators': [601, 480, 640, 388, 702, 192, 240], 'label': '960.6453.2.d1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.b1', '4.f1.a1', '4.h1.a1', '6.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.b1', 'projective_image': '80.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053078
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '16.b1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.c1.a1', '8.d1.a1'], 'contains': ['32.a1.a1', '32.c1.a1', '48.b1.a1', '80.d1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [794, 227, 9041, 1489, 9513, 8954, 9204, 8236], 'generators': [460, 640, 192, 480], 'label': '960.6453.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1', '8.c1.a1', '8.d1.a1'], 'normal_contains': ['32.a1.a1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '160.200', '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': '40.12'}
  • id: 114053079
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '16.b1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '40.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '8.c1.b1', '8.d1.a1'], 'contains': ['32.a1.a1', '32.c1.b1', '48.b1.b1', '80.d1.b1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [794, 227, 8310, 524, 9513, 8954, 9905, 8999], 'generators': [701, 640, 192, 480], 'label': '960.6453.16.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': ['8.a1.b1', '8.c1.b1', '8.d1.a1'], 'normal_contains': ['32.a1.a1', '48.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.b1', 'projective_image': '160.200', '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': '40.12'}
  • id: 114053080
    {'ambient': '960.6453', 'aut_centralizer_order': 160, 'aut_label': '16.c1', 'aut_quo_index': 96, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.c1.a1', '8.c1.b1', '8.e1.a1', '8.e1.b1', '8.f1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '48.c1.a1', '80.b1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3747, 2981, 6250, 3273, 6287, 4954, 6171, 6379], 'generators': [240, 192, 480, 640], 'label': '960.6453.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.b1.a1', '8.c1.b1', '8.c1.a1', '8.e1.a1', '8.e1.b1', '8.f1.a1', '8.g1.a1'], 'normal_contains': ['32.a1.a1', '48.c1.a1', '80.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '80.50', 'quotient_action_image': '4.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 114053081
    {'ambient': '960.6453', 'aut_centralizer_order': 80, 'aut_label': '16.d1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 80, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.d1.a1', '8.h1.a1'], 'contains': ['32.a1.a1', '48.d1.a1', '80.c1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2363, 2064, 8482, 99, 8096, 9329, 8318, 7246], 'generators': [241, 192, 480, 640], 'label': '960.6453.16.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.b1.a1', '8.d1.a1', '8.h1.a1'], 'normal_contains': ['32.a1.a1', '48.d1.a1', '80.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '160.200', 'quotient_action_image': '8.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 114053082
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '16.e1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '40.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.c1.b1', '8.h1.a1'], 'contains': ['32.a1.a1', '48.e1.a1', '80.e1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1816, 954, 7887, 1917, 8880, 9752, 8115, 9386], 'generators': [941, 480, 192, 640], 'label': '960.6453.16.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1.a1', 'normal_contained_in': ['8.a1.a1', '8.c1.b1', '8.h1.a1'], 'normal_contains': ['32.a1.a1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.a1', 'projective_image': '160.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053083
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '16.e1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '8.c1.a1', '8.h1.a1'], 'contains': ['32.a1.a1', '48.e1.b1', '80.e1.b1'], 'core': '16.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1816, 954, 6761, 1061, 8880, 9752, 8522, 9810], 'generators': [220, 480, 192, 640], 'label': '960.6453.16.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1.b1', 'normal_contained_in': ['8.a1.b1', '8.c1.a1', '8.h1.a1'], 'normal_contains': ['32.a1.a1', '48.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.b1', 'projective_image': '160.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053084
    {'ambient': '960.6453', 'aut_centralizer_order': 80, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 80, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '40.b1.a1', '40.b1.b1', '60.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5952, 4589, 3978, 4150, 6758, 6488, 5820, 5768], 'generators': [1, 480, 120, 640, 240], 'label': '960.6453.20.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['40.a1.a1', '40.b1.a1', '40.b1.b1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '80.50', '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': '4.2'}
  • id: 114053085
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '20.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '16.11', 'aut_weyl_index': 80, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '40.c1.a1', '40.c1.b1', '40.d1.a1', '40.d1.b1', '40.e1.a1', '40.h1.a1', '60.b1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [3940, -1, 6117, -1, 8164, -1, 8243, -1], 'generators': [1, 480, 460, 240, 640], 'label': '960.6453.20.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114053086
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '8.5', 'aut_weyl_index': 160, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '10.a1.a1', '10.b1.a1', '10.c1.a1'], 'contains': ['40.a1.a1', '40.f1.a1', '40.g1.a1', '60.c1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7301, -1, 2619, -1, 4172, -1, 4095, -1], 'generators': [1, 480, 4, 640, 240], 'label': '960.6453.20.c1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.c1.a1', 'projective_image': '80.50', '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': '2.1'}
  • id: 114053087
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 160, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '10.a1.a1', '10.d1.a1', '10.e1.a1'], 'contains': ['40.b1.a1', '40.d1.a1', '40.f1.a1', '60.d1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7748, -1, 2869, -1, 4529, -1, 4618, -1], 'generators': [4, 480, 120, 640, 240], 'label': '960.6453.20.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.d1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053088
    {'ambient': '960.6453', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '320.1590', 'aut_weyl_index': 4, 'centralizer': '80.b1.a1', 'complements': ['480.b1.a1', '480.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.g1.a1', '4.h1.a1', '6.e1.a1', '10.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7357, 6813, 1813, 6783, 2656, 2126, 4198, 2840], 'generators': [2, 480, 640, 4, 120, 192, 240], 'label': '960.6453.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.h1.a1', '4.g1.a1', '6.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '80.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053089
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 160, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '10.a1.a1', '10.d1.b1', '10.e1.b1'], 'contains': ['40.b1.b1', '40.d1.b1', '40.f1.a1', '60.d1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [7748, -1, 2310, -1, 4529, -1, 4357, -1], 'generators': [601, 480, 4, 640, 720], 'label': '960.6453.20.d1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.d1.b1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053090
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 160, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '10.a1.a1'], 'contains': ['40.b1.b1', '40.d1.a1', '40.g1.a1', '60.e1.a1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [5376, -1, 4376, -1, 6061, -1, 6951, -1], 'generators': [601, 480, 460, 640, 720], 'label': '960.6453.20.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.e1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114053091
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 160, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '10.a1.a1'], 'contains': ['40.b1.a1', '40.d1.b1', '40.g1.a1', '60.e1.b1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5376, -1, 4773, -1, 6061, -1, 6329, -1], 'generators': [5, 480, 120, 640, 240], 'label': '960.6453.20.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.e1.b1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114053092
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '5.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '10.b1.a1', '10.d1.a1', '10.d1.b1'], 'contains': ['40.f1.a1', '60.f1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9160, -1, 1353, -1, 2387, -1, 2429, -1], 'generators': [3, 480, 640, 4, 240], 'label': '960.6453.20.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.f1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114053093
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '10.b1.a1', '10.e1.a1', '10.e1.b1'], 'contains': ['40.f1.a1', '60.g1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8714, -1, 1943, -1, 2194, -1, 2711, -1], 'generators': [2, 480, 640, 4, 240], 'label': '960.6453.20.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.g1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053094
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '20.h1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '10.c1.a1', '10.d1.b1', '10.e1.a1'], 'contains': ['40.f1.a1', '60.h1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8406, -1, 984, -1, 2580, -1, 2570, -1], 'generators': [702, 480, 640, 388, 240], 'label': '960.6453.20.h1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.h1.a1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053095
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '20.h1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.b1', '10.c1.a1', '10.d1.a1', '10.e1.b1'], 'contains': ['40.f1.a1', '60.h1.b1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8406, -1, 1550, -1, 2580, -1, 2288, -1], 'generators': [223, 480, 640, 868, 240], 'label': '960.6453.20.h1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.h1.b1', 'projective_image': '80.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053096
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '24.a1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.e1.a1', '120.c1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1385, 1778, 8008, 2850, 8595, 7965, 7395, 7475], 'generators': [1, 480, 192, 460], 'label': '960.6453.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '48.b1.a1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '480.1047', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053097
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '24.a1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 16, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '12.a1.a1'], 'contains': ['48.a1.a1', '48.b1.b1', '48.e1.b1', '120.c1.b1'], 'core': '24.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1385, 1778, 7774, 2204, 8595, 7965, 7687, 7943], 'generators': [1, 480, 192, 220], 'label': '960.6453.24.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.b1', 'normal_contained_in': ['8.a1.b1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '48.b1.b1', '48.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.b1', 'projective_image': '480.1047', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1.b1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053098
    {'ambient': '960.6453', 'aut_centralizer_order': 160, 'aut_label': '24.b1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'contains': ['48.a1.a1', '48.c1.a1', '48.d1.a1', '120.a1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3236, 5125, 7578, 5151, 5711, 5999, 5530, 5361], 'generators': [1, 192, 480, 240], 'label': '960.6453.24.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '48.c1.a1', '48.d1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '240.200', 'quotient_action_image': '8.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 114053099
    {'ambient': '960.6453', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '320.1590', 'aut_weyl_index': 4, 'centralizer': '80.b1.a1', 'complements': ['480.c1.a1', '480.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.b1', '4.g1.a1', '4.h1.b1', '6.e1.b1', '10.e1.b1'], 'core': '2.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7357, 6813, 3106, 7877, 2656, 2126, 3576, 1853], 'generators': [601, 480, 640, 4, 2, 192, 240], 'label': '960.6453.2.e1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.b1', '4.h1.b1', '4.g1.a1', '6.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.b1', 'projective_image': '80.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.b1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053100
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '24.c1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '40.12', 'aut_weyl_index': 32, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.a1.a1', '12.d1.a1', '12.e1.a1'], 'contains': ['48.b1.a1', '48.c1.a1', '48.e1.b1', '120.d1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2819, 3703, 6623, 3676, 6040, 7040, 5990, 5743], 'generators': [460, 480, 192, 240], 'label': '960.6453.24.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.c1.a1', '12.a1.a1', '12.d1.a1', '12.e1.a1'], 'normal_contains': ['48.b1.a1', '48.c1.a1', '48.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '240.200', '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': '40.12'}
  • id: 114053101
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '24.c1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '40.12', 'aut_weyl_index': 32, 'centralizer': '40.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '12.a1.a1', '12.d1.b1', '12.e1.b1'], 'contains': ['48.b1.b1', '48.c1.a1', '48.e1.a1', '120.d1.b1'], 'core': '24.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2819, 3703, 6833, 4618, 6040, 7040, 5770, 6091], 'generators': [941, 480, 192, 240], 'label': '960.6453.24.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1.b1', 'normal_contained_in': ['8.c1.b1', '12.a1.a1', '12.d1.b1', '12.e1.b1'], 'normal_contains': ['48.b1.b1', '48.c1.a1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.b1', 'projective_image': '240.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 114053102
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '24.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '160.207', 'aut_weyl_index': 8, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.a1.a1'], 'contains': ['48.b1.a1', '48.b1.b1', '48.d1.a1', '120.e1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2111, 2428, 8607, 1237, 7901, 8268, 7541, 7020], 'generators': [241, 480, 192, 460], 'label': '960.6453.24.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': ['8.d1.a1', '12.a1.a1'], 'normal_contains': ['48.b1.b1', '48.b1.a1', '48.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '480.1047', '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': '80.50'}
  • id: 114053103
    {'ambient': '960.6453', 'aut_centralizer_order': 80, 'aut_label': '24.e1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '8.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.b1.a1', '12.d1.a1', '12.e1.b1'], 'contains': ['48.c1.a1', '120.b1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4976, 5957, 5321, 6498, 4831, 4661, 4135, 4105], 'generators': [120, 240, 480, 192], 'label': '960.6453.24.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1.a1', 'normal_contained_in': ['8.e1.a1', '12.b1.a1', '12.d1.a1', '12.e1.b1'], 'normal_contains': ['48.c1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.a1', 'projective_image': '240.200', 'quotient_action_image': '8.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 114053104
    {'ambient': '960.6453', 'aut_centralizer_order': 80, 'aut_label': '24.e1', 'aut_quo_index': 8, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '8.e1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '12.b1.a1', '12.d1.b1', '12.e1.a1'], 'contains': ['48.c1.a1', '120.b1.b1'], 'core': '24.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4976, 5957, 5070, 5983, 4831, 4661, 4437, 3881], 'generators': [601, 720, 480, 192], 'label': '960.6453.24.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1.b1', 'normal_contained_in': ['8.e1.b1', '12.b1.a1', '12.d1.b1', '12.e1.a1'], 'normal_contains': ['48.c1.a1', '120.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.b1', 'projective_image': '240.200', 'quotient_action_image': '8.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '24.e1.b1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 114053105
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '24.f1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '40.12', 'aut_weyl_index': 32, 'centralizer': '20.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.c1.a1', '12.d1.a1', '12.d1.b1', '12.f1.a1', '12.g1.a1', '12.h1.a1', '12.h1.b1'], 'contains': ['48.c1.a1', '120.f1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6785, 7397, 3548, 7745, 2794, 2898, 2868, 2451], 'generators': [4, 480, 192, 240], 'label': '960.6453.24.f1.a1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.f1.a1', 'normal_contained_in': ['8.f1.a1', '12.c1.a1', '12.d1.b1', '12.d1.a1', '12.f1.a1', '12.h1.a1', '12.h1.b1', '12.g1.a1'], 'normal_contains': ['48.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.a1', 'projective_image': '240.200', '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': '20.3'}
  • id: 114053106
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '24.g1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '40.12', 'aut_weyl_index': 32, 'centralizer': '40.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.c1.a1', '12.e1.a1', '12.e1.b1'], 'contains': ['48.c1.a1', '120.g1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4694, 5614, 5459, 5587, 4415, 4362, 4741, 4588], 'generators': [5, 480, 192, 240], 'label': '960.6453.24.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.g1.a1', 'normal_contained_in': ['8.g1.a1', '12.c1.a1', '12.e1.b1', '12.e1.a1'], 'normal_contains': ['48.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.g1.a1', 'projective_image': '240.200', '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': '40.12'}
  • id: 114053107
    {'ambient': '960.6453', 'aut_centralizer_order': 8, 'aut_label': '24.h1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '160.207', 'aut_weyl_index': 8, 'centralizer': '80.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.a1.a1'], 'contains': ['48.d1.a1', '48.e1.a1', '48.e1.b1', '120.h1.a1'], 'core': '24.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2564, 2782, 7382, 1739, 7402, 8571, 7248, 7709], 'generators': [241, 480, 192, 220], 'label': '960.6453.24.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.h1.a1', 'normal_contained_in': ['8.h1.a1', '12.a1.a1'], 'normal_contains': ['48.d1.a1', '48.e1.b1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.a1', 'projective_image': '480.1047', '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': '80.50'}
  • id: 114053108
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '30.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '16.11', 'aut_weyl_index': 80, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.a1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.b1.a1', '60.c1.a1', '60.d1.a1', '60.d1.b1', '60.e1.a1', '60.e1.b1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [6594, -1, 3186, -1, 3850, -1, 3860, -1], 'generators': [1, 4, 120], 'label': '960.6453.30.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.a1.a1', 'projective_image': '240.200', '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': '4.2'}
  • id: 114053109
    {'ambient': '960.6453', 'aut_centralizer_order': 32, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '10.b1.a1', '15.a1.a1'], 'contains': ['60.c1.a1', '60.f1.a1', '60.g1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9868, -1, 1844, -1, 600, -1, 1733, -1], 'generators': [1, 2], 'label': '960.6453.30.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.b1.a1', 'projective_image': '240.200', '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': '2.1'}
  • id: 114053110
    {'ambient': '960.6453', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '640.19253', 'aut_weyl_index': 2, 'centralizer': '80.b1.a1', 'complements': ['320.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1', '6.d1.b1', '6.e1.a1', '6.e1.b1', '15.a1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7633, 8967, 2118, 9427, 1106, 4189, 975, 1255], 'generators': [1, 480, 120, 4, 2, 192, 240], 'label': '960.6453.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.b1', '6.d1.a1', '6.e1.b1', '6.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '240.200', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '80.50'}
  • id: 114053111
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '16.13', 'aut_weyl_index': 80, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '10.c1.a1', '15.a1.a1'], 'contains': ['60.c1.a1', '60.h1.a1', '60.h1.b1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8200, -1, 462, -1, 1988, -1, 908, -1], 'generators': [1, 702], 'label': '960.6453.30.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.c1.a1', 'projective_image': '240.200', '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': '4.2'}
  • id: 114053112
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '10.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '10.d1.a1', '15.a1.a1'], 'contains': ['60.d1.a1', '60.f1.a1', '60.h1.b1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9509, -1, 735, -1, 1439, -1, 506, -1], 'generators': [3, 120], 'label': '960.6453.30.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.d1.a1', 'projective_image': '240.200', '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': '2.1'}
  • id: 114053113
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '10.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.b1', '10.d1.b1', '15.a1.a1'], 'contains': ['60.d1.b1', '60.f1.a1', '60.h1.a1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [9509, -1, 259, -1, 1439, -1, 1310, -1], 'generators': [601, 702], 'label': '960.6453.30.d1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.d1.b1', 'projective_image': '240.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114053114
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '10.e1.a1', '15.a1.a1'], 'contains': ['60.d1.a1', '60.g1.a1', '60.h1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8751, -1, 1135, -1, 1150, -1, 1945, -1], 'generators': [2, 120], 'label': '960.6453.30.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.e1.a1', 'projective_image': '240.200', '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': '4.2'}
  • id: 114053115
    {'ambient': '960.6453', 'aut_centralizer_order': 16, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.b1', '10.e1.b1', '15.a1.a1'], 'contains': ['60.d1.b1', '60.g1.a1', '60.h1.b1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [8751, -1, 1643, -1, 1150, -1, 1522, -1], 'generators': [601, 2], 'label': '960.6453.30.e1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.e1.b1', 'projective_image': '240.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.e1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114053116
    {'ambient': '960.6453', 'aut_centralizer_order': 160, 'aut_label': '32.a1', 'aut_quo_index': 96, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '16.c1.a1', '16.d1.a1', '16.e1.a1', '16.e1.b1'], 'contains': ['64.a1.a1', '96.a1.a1', '160.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [991, 598, 9395, 626, 8967, 8860, 8700, 8595], 'generators': [480, 192, 640], 'label': '960.6453.32.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.b1', '16.b1.a1', '16.c1.a1', '16.d1.a1', '16.e1.b1', '16.e1.a1'], 'normal_contains': ['64.a1.a1', '96.a1.a1', '160.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '160.200', 'quotient_action_image': '4.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 114053117
    {'ambient': '960.6453', 'aut_centralizer_order': 80, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 160, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1'], 'contains': ['64.a1.a1', '96.b1.a1', '160.b1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [397, -1, 9706, -1, 9760, -1, 9498, -1], 'generators': [1, 192, 640], 'label': '960.6453.32.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.b1.a1', 'projective_image': '320.1063', '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': '4.1'}
  • id: 114053120
    {'ambient': '960.6453', 'aut_centralizer_order': 320, 'aut_label': '40.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 320, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '20.a1.a1', '20.b1.a1', '20.c1.a1'], 'contains': ['80.a1.a1', '80.b1.a1', '80.c1.a1', '120.a1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4897, 3719, 5587, 3660, 6764, 6541, 6520, 6699], 'generators': [1, 240, 640, 480], 'label': '960.6453.40.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.b1.a1', '20.a1.a1'], 'normal_contains': ['80.a1.a1', '80.b1.a1', '80.c1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '80.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.3', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}