Abstract group data - 320.1579

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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': '80.52', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [4, 2, 6, 4, 2, 2, 2], 'aut_gens': [[1, 2, 4, 8], [1, 2, 4, 136], [85, 86, 164, 8], [164, 246, 85, 88], [1, 242, 4, 8], [161, 162, 4, 8], [1, 162, 164, 168], [161, 162, 4, 168]], 'aut_group': '1536.408633772', 'aut_hash': 3864209259142932085, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1536, 'aut_permdeg': 18, 'aut_perms': [5324865200760, 6007836980690228, 6048107081388165, 94403232000, 5651956475032620, 315243451723126, 5651956475799420], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 3, 1], [2, 4, 1, 1], [2, 4, 3, 1], [4, 2, 1, 1], [4, 2, 3, 1], [4, 4, 1, 1], [4, 4, 3, 1], [5, 1, 4, 1], [8, 2, 2, 1], [8, 4, 3, 1], [10, 1, 4, 1], [10, 2, 12, 1], [10, 4, 4, 1], [10, 4, 12, 1], [20, 2, 4, 1], [20, 2, 12, 1], [20, 4, 4, 1], [20, 4, 12, 1], [40, 2, 8, 1], [40, 4, 12, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_4\\times \\GL(2,\\mathbb{Z}/4):C_2^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '64.260', 'autcent_hash': 260, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '24.14', 'autcentquo_hash': 14, 'autcentquo_nilpotent': False, 'autcentquo_order': 24, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times D_6', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 3], [2, 4, 4], [4, 2, 4], [4, 4, 4], [5, 1, 4], [8, 2, 2], [8, 4, 3], [10, 1, 4], [10, 2, 12], [10, 4, 16], [20, 2, 16], [20, 4, 16], [40, 2, 8], [40, 4, 12]], 'center_label': '10.2', 'center_order': 10, 'central_product': True, 'central_quotient': '32.46', 'commutator_count': 1, 'commutator_label': '4.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1579, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['5.1', 1], ['64.258', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 3], [2, 4, 1, 4], [4, 2, 1, 4], [4, 4, 1, 4], [5, 1, 4, 1], [8, 2, 2, 1], [8, 4, 1, 3], [10, 1, 4, 1], [10, 2, 4, 3], [10, 4, 4, 4], [20, 2, 4, 4], [20, 4, 4, 4], [40, 2, 8, 1], [40, 4, 4, 3]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 2096640, 'exponent': 40, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 5], 'faithful_reps': [[4, 0, 8]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '80.52', 'hash': 1579, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 4, 'inner_gen_orders': [2, 2, 2, 4], 'inner_gens': [[1, 2, 164, 8], [1, 2, 4, 88], [161, 2, 4, 8], [1, 242, 4, 8]], 'inner_hash': 46, 'inner_nilpotent': True, 'inner_order': 32, 'inner_split': True, 'inner_tex': 'C_2^2\\times D_4', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 4, 'irrQ_degree': 32, 'irrQ_dim': 32, 'irrR_degree': 8, 'irrep_stats': [[1, 80], [2, 20], [4, 10]], 'label': '320.1579', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C40.C2^3', 'ngens': 7, 'nilpotency_class': 3, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 22, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 110, 'number_divisions': 42, 'number_normal_subgroups': 158, 'number_subgroup_autclasses': 108, 'number_subgroup_classes': 258, 'number_subgroups': 410, 'old_label': None, 'order': 320, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 23], [4, 24], [5, 4], [8, 16], [10, 92], [20, 96], [40, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 12], 'outer_gen_pows': [4, 0, 0], 'outer_gens': [[85, 6, 4, 8], [1, 2, 4, 168], [4, 6, 85, 296]], 'outer_group': '48.35', 'outer_hash': 35, 'outer_nilpotent': False, 'outer_order': 48, 'outer_permdeg': 9, 'outer_perms': [41041, 24, 91444], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4\\times D_6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2, 5], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 4], [4, 16], [8, 5], [32, 1]], 'representations': {'PC': {'code': 51905030769278925570703363, 'gens': [1, 2, 3, 4], 'pres': [7, -2, -2, -2, -2, -2, -2, -5, 3446, 1242, 80, 3091, 102, 124]}, 'Perm': {'d': 21, 'gens': [22929945340561459200, 10251623143373442480, 15360782656605492960, 10245220680968824320, 96, 7542061610107541040, 2439325392333218640]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 10], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{40}.C_2^3', 'transitive_degree': 80, '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: 109743650
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 1579, 'group_order': 320, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 109743672
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 1579, 'group_order': 320, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 160, 'size': 1}
  • id: 109743683
    {'aut_label': '2B', 'centralizer': '2.d1', 'counter': 3, 'group_counter': 1579, 'group_order': 320, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 4, 'size': 2}
  • id: 109743694
    {'aut_label': '2B', 'centralizer': '2.d1', 'counter': 4, 'group_counter': 1579, 'group_order': 320, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 1, 'size': 2}
  • id: 109743705
    {'aut_label': '2B', 'centralizer': '2.d1', 'counter': 5, 'group_counter': 1579, 'group_order': 320, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 85, 'size': 2}
  • id: 109743716
    {'aut_label': '2E', 'centralizer': '4.m1', 'counter': 6, 'group_counter': 1579, 'group_order': 320, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 2, 'size': 4}
  • id: 109743727
    {'aut_label': '2E', 'centralizer': '4.m1', 'counter': 7, 'group_counter': 1579, 'group_order': 320, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 6, 'size': 4}
  • id: 109743738
    {'aut_label': '2E', 'centralizer': '4.m1', 'counter': 8, 'group_counter': 1579, 'group_order': 320, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 3, 'size': 4}
  • id: 109743749
    {'aut_label': '2H', 'centralizer': '4.p1', 'counter': 9, 'group_counter': 1579, 'group_order': 320, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 207, 'size': 4}
  • id: 109743651
    {'aut_label': '4A', 'centralizer': '2.a1', 'counter': 10, 'group_counter': 1579, 'group_order': 320, 'label': '4A', 'order': 4, 'powers': [2, 10], 'representative': 84, 'size': 2}
  • id: 109743662
    {'aut_label': '4A', 'centralizer': '2.a1', 'counter': 11, 'group_counter': 1579, 'group_order': 320, 'label': '4B', 'order': 4, 'powers': [2, 11], 'representative': 81, 'size': 2}
  • id: 109743664
    {'aut_label': '4A', 'centralizer': '2.a1', 'counter': 12, 'group_counter': 1579, 'group_order': 320, 'label': '4C', 'order': 4, 'powers': [2, 12], 'representative': 5, 'size': 2}
  • id: 109743665
    {'aut_label': '4D', 'centralizer': '2.g1', 'counter': 13, 'group_counter': 1579, 'group_order': 320, 'label': '4D', 'order': 4, 'powers': [2, 13], 'representative': 80, 'size': 2}
  • id: 109743666
    {'aut_label': '4E', 'centralizer': '4.n1', 'counter': 14, 'group_counter': 1579, 'group_order': 320, 'label': '4E', 'order': 4, 'powers': [2, 14], 'representative': 202, 'size': 4}
  • id: 109743667
    {'aut_label': '4E', 'centralizer': '4.n1', 'counter': 15, 'group_counter': 1579, 'group_order': 320, 'label': '4F', 'order': 4, 'powers': [2, 15], 'representative': 206, 'size': 4}
  • id: 109743668
    {'aut_label': '4E', 'centralizer': '4.n1', 'counter': 16, 'group_counter': 1579, 'group_order': 320, 'label': '4G', 'order': 4, 'powers': [2, 16], 'representative': 203, 'size': 4}
  • id: 109743669
    {'aut_label': '4H', 'centralizer': '4.o1', 'counter': 17, 'group_counter': 1579, 'group_order': 320, 'label': '4H', 'order': 4, 'powers': [2, 17], 'representative': 7, 'size': 4}
  • id: 109743670
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 1579, 'group_order': 320, 'label': '5A1', 'order': 5, 'powers': [20, 1], 'representative': 128, 'size': 1}
  • id: 109743671
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 19, 'group_counter': 1579, 'group_order': 320, 'label': '5A-1', 'order': 5, 'powers': [21, 1], 'representative': 192, 'size': 1}
  • id: 109743673
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 1579, 'group_order': 320, 'label': '5A2', 'order': 5, 'powers': [19, 1], 'representative': 256, 'size': 1}
  • id: 109743674
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 21, 'group_counter': 1579, 'group_order': 320, 'label': '5A-2', 'order': 5, 'powers': [18, 1], 'representative': 64, 'size': 1}
  • id: 109743675
    {'aut_label': '8A1', 'centralizer': '2.g1', 'counter': 22, 'group_counter': 1579, 'group_order': 320, 'label': '8A1', 'order': 8, 'powers': [13, 23], 'representative': 40, 'size': 2}
  • id: 109743676
    {'aut_label': '8A1', 'centralizer': '2.g1', 'counter': 23, 'group_counter': 1579, 'group_order': 320, 'label': '8A-1', 'order': 8, 'powers': [13, 22], 'representative': 280, 'size': 2}
  • id: 109743677
    {'aut_label': '8B', 'centralizer': '4.e1', 'counter': 24, 'group_counter': 1579, 'group_order': 320, 'label': '8B', 'order': 8, 'powers': [13, 24], 'representative': 44, 'size': 4}
  • id: 109743678
    {'aut_label': '8B', 'centralizer': '4.e1', 'counter': 25, 'group_counter': 1579, 'group_order': 320, 'label': '8C', 'order': 8, 'powers': [13, 25], 'representative': 41, 'size': 4}
  • id: 109743679
    {'aut_label': '8B', 'centralizer': '4.e1', 'counter': 26, 'group_counter': 1579, 'group_order': 320, 'label': '8D', 'order': 8, 'powers': [13, 26], 'representative': 45, 'size': 4}
  • id: 109743680
    {'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 27, 'group_counter': 1579, 'group_order': 320, 'label': '10A1', 'order': 10, 'powers': [21, 2], 'representative': 32, 'size': 1}
  • id: 109743681
    {'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 28, 'group_counter': 1579, 'group_order': 320, 'label': '10A-1', 'order': 10, 'powers': [20, 2], 'representative': 288, 'size': 1}
  • id: 109743682
    {'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 1579, 'group_order': 320, 'label': '10A3', 'order': 10, 'powers': [19, 2], 'representative': 96, 'size': 1}
  • id: 109743684
    {'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 1579, 'group_order': 320, 'label': '10A-3', 'order': 10, 'powers': [18, 2], 'representative': 224, 'size': 1}
  • id: 109743685
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 31, 'group_counter': 1579, 'group_order': 320, 'label': '10B1', 'order': 10, 'powers': [18, 3], 'representative': 68, 'size': 2}
  • id: 109743686
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 32, 'group_counter': 1579, 'group_order': 320, 'label': '10B-1', 'order': 10, 'powers': [19, 3], 'representative': 260, 'size': 2}
  • id: 109743687
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 33, 'group_counter': 1579, 'group_order': 320, 'label': '10B3', 'order': 10, 'powers': [21, 3], 'representative': 36, 'size': 2}
  • id: 109743688
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 34, 'group_counter': 1579, 'group_order': 320, 'label': '10B-3', 'order': 10, 'powers': [20, 3], 'representative': 132, 'size': 2}
  • id: 109743689
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 35, 'group_counter': 1579, 'group_order': 320, 'label': '10C1', 'order': 10, 'powers': [18, 4], 'representative': 65, 'size': 2}
  • id: 109743690
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 36, 'group_counter': 1579, 'group_order': 320, 'label': '10C-1', 'order': 10, 'powers': [19, 4], 'representative': 257, 'size': 2}
  • id: 109743691
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 37, 'group_counter': 1579, 'group_order': 320, 'label': '10C3', 'order': 10, 'powers': [21, 4], 'representative': 33, 'size': 2}
  • id: 109743692
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 38, 'group_counter': 1579, 'group_order': 320, 'label': '10C-3', 'order': 10, 'powers': [20, 4], 'representative': 129, 'size': 2}
  • id: 109743693
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 39, 'group_counter': 1579, 'group_order': 320, 'label': '10D1', 'order': 10, 'powers': [19, 5], 'representative': 21, 'size': 2}
  • id: 109743695
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 40, 'group_counter': 1579, 'group_order': 320, 'label': '10D-1', 'order': 10, 'powers': [18, 5], 'representative': 149, 'size': 2}
  • id: 109743696
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 41, 'group_counter': 1579, 'group_order': 320, 'label': '10D3', 'order': 10, 'powers': [20, 5], 'representative': 53, 'size': 2}
  • id: 109743697
    {'aut_label': '10B1', 'centralizer': '2.d1', 'counter': 42, 'group_counter': 1579, 'group_order': 320, 'label': '10D-3', 'order': 10, 'powers': [21, 5], 'representative': 277, 'size': 2}
  • id: 109743698
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 43, 'group_counter': 1579, 'group_order': 320, 'label': '10E1', 'order': 10, 'powers': [18, 6], 'representative': 66, 'size': 4}
  • id: 109743699
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 44, 'group_counter': 1579, 'group_order': 320, 'label': '10E-1', 'order': 10, 'powers': [19, 6], 'representative': 18, 'size': 4}
  • id: 109743700
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 45, 'group_counter': 1579, 'group_order': 320, 'label': '10E3', 'order': 10, 'powers': [21, 6], 'representative': 34, 'size': 4}
  • id: 109743701
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 46, 'group_counter': 1579, 'group_order': 320, 'label': '10E-3', 'order': 10, 'powers': [20, 6], 'representative': 130, 'size': 4}
  • id: 109743702
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 47, 'group_counter': 1579, 'group_order': 320, 'label': '10F1', 'order': 10, 'powers': [18, 7], 'representative': 70, 'size': 4}
  • id: 109743703
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 48, 'group_counter': 1579, 'group_order': 320, 'label': '10F-1', 'order': 10, 'powers': [19, 7], 'representative': 22, 'size': 4}
  • id: 109743704
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 49, 'group_counter': 1579, 'group_order': 320, 'label': '10F3', 'order': 10, 'powers': [21, 7], 'representative': 38, 'size': 4}
  • id: 109743706
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 50, 'group_counter': 1579, 'group_order': 320, 'label': '10F-3', 'order': 10, 'powers': [20, 7], 'representative': 134, 'size': 4}
  • id: 109743707
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 51, 'group_counter': 1579, 'group_order': 320, 'label': '10G1', 'order': 10, 'powers': [18, 8], 'representative': 67, 'size': 4}
  • id: 109743708
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 52, 'group_counter': 1579, 'group_order': 320, 'label': '10G-1', 'order': 10, 'powers': [19, 8], 'representative': 19, 'size': 4}
  • id: 109743709
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 53, 'group_counter': 1579, 'group_order': 320, 'label': '10G3', 'order': 10, 'powers': [21, 8], 'representative': 35, 'size': 4}
  • id: 109743710
    {'aut_label': '10E1', 'centralizer': '4.m1', 'counter': 54, 'group_counter': 1579, 'group_order': 320, 'label': '10G-3', 'order': 10, 'powers': [20, 8], 'representative': 131, 'size': 4}
  • id: 109743711
    {'aut_label': '10H1', 'centralizer': '4.p1', 'counter': 55, 'group_counter': 1579, 'group_order': 320, 'label': '10H1', 'order': 10, 'powers': [20, 9], 'representative': 15, 'size': 4}
  • id: 109743712
    {'aut_label': '10H1', 'centralizer': '4.p1', 'counter': 56, 'group_counter': 1579, 'group_order': 320, 'label': '10H-1', 'order': 10, 'powers': [21, 9], 'representative': 79, 'size': 4}
  • id: 109743713
    {'aut_label': '10H1', 'centralizer': '4.p1', 'counter': 57, 'group_counter': 1579, 'group_order': 320, 'label': '10H3', 'order': 10, 'powers': [18, 9], 'representative': 31, 'size': 4}
  • id: 109743714
    {'aut_label': '10H1', 'centralizer': '4.p1', 'counter': 58, 'group_counter': 1579, 'group_order': 320, 'label': '10H-3', 'order': 10, 'powers': [19, 9], 'representative': 143, 'size': 4}
  • id: 109743715
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 59, 'group_counter': 1579, 'group_order': 320, 'label': '20A1', 'order': 20, 'powers': [27, 10], 'representative': 20, 'size': 2}
  • id: 109743717
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 60, 'group_counter': 1579, 'group_order': 320, 'label': '20A-1', 'order': 20, 'powers': [28, 10], 'representative': 148, 'size': 2}
  • id: 109743718
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 61, 'group_counter': 1579, 'group_order': 320, 'label': '20A3', 'order': 20, 'powers': [29, 10], 'representative': 52, 'size': 2}
  • id: 109743719
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 62, 'group_counter': 1579, 'group_order': 320, 'label': '20A-3', 'order': 20, 'powers': [30, 10], 'representative': 276, 'size': 2}
  • id: 109743720
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 63, 'group_counter': 1579, 'group_order': 320, 'label': '20B1', 'order': 20, 'powers': [27, 11], 'representative': 17, 'size': 2}
  • id: 109743721
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 64, 'group_counter': 1579, 'group_order': 320, 'label': '20B-1', 'order': 20, 'powers': [28, 11], 'representative': 145, 'size': 2}
  • id: 109743722
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 65, 'group_counter': 1579, 'group_order': 320, 'label': '20B3', 'order': 20, 'powers': [29, 11], 'representative': 49, 'size': 2}
  • id: 109743723
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 66, 'group_counter': 1579, 'group_order': 320, 'label': '20B-3', 'order': 20, 'powers': [30, 11], 'representative': 273, 'size': 2}
  • id: 109743724
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 67, 'group_counter': 1579, 'group_order': 320, 'label': '20C1', 'order': 20, 'powers': [28, 12], 'representative': 69, 'size': 2}
  • id: 109743725
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 68, 'group_counter': 1579, 'group_order': 320, 'label': '20C-1', 'order': 20, 'powers': [27, 12], 'representative': 261, 'size': 2}
  • id: 109743726
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 69, 'group_counter': 1579, 'group_order': 320, 'label': '20C3', 'order': 20, 'powers': [30, 12], 'representative': 37, 'size': 2}
  • id: 109743728
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 70, 'group_counter': 1579, 'group_order': 320, 'label': '20C-3', 'order': 20, 'powers': [29, 12], 'representative': 133, 'size': 2}
  • id: 109743729
    {'aut_label': '20D1', 'centralizer': '2.g1', 'counter': 71, 'group_counter': 1579, 'group_order': 320, 'label': '20D1', 'order': 20, 'powers': [27, 13], 'representative': 16, 'size': 2}
  • id: 109743730
    {'aut_label': '20D1', 'centralizer': '2.g1', 'counter': 72, 'group_counter': 1579, 'group_order': 320, 'label': '20D-1', 'order': 20, 'powers': [28, 13], 'representative': 304, 'size': 2}
  • id: 109743731
    {'aut_label': '20D1', 'centralizer': '2.g1', 'counter': 73, 'group_counter': 1579, 'group_order': 320, 'label': '20D3', 'order': 20, 'powers': [29, 13], 'representative': 48, 'size': 2}
  • id: 109743732
    {'aut_label': '20D1', 'centralizer': '2.g1', 'counter': 74, 'group_counter': 1579, 'group_order': 320, 'label': '20D-3', 'order': 20, 'powers': [30, 13], 'representative': 272, 'size': 2}
  • id: 109743733
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 75, 'group_counter': 1579, 'group_order': 320, 'label': '20E1', 'order': 20, 'powers': [29, 14], 'representative': 10, 'size': 4}
  • id: 109743734
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 76, 'group_counter': 1579, 'group_order': 320, 'label': '20E-1', 'order': 20, 'powers': [30, 14], 'representative': 74, 'size': 4}
  • id: 109743735
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 77, 'group_counter': 1579, 'group_order': 320, 'label': '20E3', 'order': 20, 'powers': [28, 14], 'representative': 26, 'size': 4}
  • id: 109743736
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 78, 'group_counter': 1579, 'group_order': 320, 'label': '20E-3', 'order': 20, 'powers': [27, 14], 'representative': 138, 'size': 4}
  • id: 109743737
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 79, 'group_counter': 1579, 'group_order': 320, 'label': '20F1', 'order': 20, 'powers': [29, 15], 'representative': 14, 'size': 4}
  • id: 109743739
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 80, 'group_counter': 1579, 'group_order': 320, 'label': '20F-1', 'order': 20, 'powers': [30, 15], 'representative': 78, 'size': 4}
  • id: 109743740
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 81, 'group_counter': 1579, 'group_order': 320, 'label': '20F3', 'order': 20, 'powers': [28, 15], 'representative': 30, 'size': 4}
  • id: 109743741
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 82, 'group_counter': 1579, 'group_order': 320, 'label': '20F-3', 'order': 20, 'powers': [27, 15], 'representative': 142, 'size': 4}
  • id: 109743742
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 83, 'group_counter': 1579, 'group_order': 320, 'label': '20G1', 'order': 20, 'powers': [29, 16], 'representative': 11, 'size': 4}
  • id: 109743743
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 84, 'group_counter': 1579, 'group_order': 320, 'label': '20G-1', 'order': 20, 'powers': [30, 16], 'representative': 75, 'size': 4}
  • id: 109743744
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 85, 'group_counter': 1579, 'group_order': 320, 'label': '20G3', 'order': 20, 'powers': [28, 16], 'representative': 27, 'size': 4}
  • id: 109743745
    {'aut_label': '20E1', 'centralizer': '4.n1', 'counter': 86, 'group_counter': 1579, 'group_order': 320, 'label': '20G-3', 'order': 20, 'powers': [27, 16], 'representative': 139, 'size': 4}
  • id: 109743746
    {'aut_label': '20H1', 'centralizer': '4.o1', 'counter': 87, 'group_counter': 1579, 'group_order': 320, 'label': '20H1', 'order': 20, 'powers': [28, 17], 'representative': 71, 'size': 4}
  • id: 109743747
    {'aut_label': '20H1', 'centralizer': '4.o1', 'counter': 88, 'group_counter': 1579, 'group_order': 320, 'label': '20H-1', 'order': 20, 'powers': [27, 17], 'representative': 23, 'size': 4}
  • id: 109743748
    {'aut_label': '20H1', 'centralizer': '4.o1', 'counter': 89, 'group_counter': 1579, 'group_order': 320, 'label': '20H3', 'order': 20, 'powers': [30, 17], 'representative': 39, 'size': 4}
  • id: 109743750
    {'aut_label': '20H1', 'centralizer': '4.o1', 'counter': 90, 'group_counter': 1579, 'group_order': 320, 'label': '20H-3', 'order': 20, 'powers': [29, 17], 'representative': 135, 'size': 4}
  • id: 109743751
    {'aut_label': '40A1', 'centralizer': '2.g1', 'counter': 91, 'group_counter': 1579, 'group_order': 320, 'label': '40A1', 'order': 40, 'powers': [71, 22], 'representative': 8, 'size': 2}
  • id: 109743752
    {'aut_label': '40A1', 'centralizer': '2.g1', 'counter': 92, 'group_counter': 1579, 'group_order': 320, 'label': '40A-1', 'order': 40, 'powers': [72, 23], 'representative': 232, 'size': 2}
  • id: 109743753
    {'aut_label': '40A1', 'centralizer': '2.g1', 'counter': 93, 'group_counter': 1579, 'group_order': 320, 'label': '40A3', 'order': 40, 'powers': [73, 22], 'representative': 24, 'size': 2}
  • id: 109743754
    {'aut_label': '40A1', 'centralizer': '2.g1', 'counter': 94, 'group_counter': 1579, 'group_order': 320, 'label': '40A-3', 'order': 40, 'powers': [74, 23], 'representative': 56, 'size': 2}
  • id: 109743755
    {'aut_label': '40A1', 'centralizer': '2.g1', 'counter': 95, 'group_counter': 1579, 'group_order': 320, 'label': '40A9', 'order': 40, 'powers': [72, 22], 'representative': 72, 'size': 2}
  • id: 109743756
    {'aut_label': '40A1', 'centralizer': '2.g1', 'counter': 96, 'group_counter': 1579, 'group_order': 320, 'label': '40A-9', 'order': 40, 'powers': [71, 23], 'representative': 168, 'size': 2}
  • id: 109743757
    {'aut_label': '40A1', 'centralizer': '2.g1', 'counter': 97, 'group_counter': 1579, 'group_order': 320, 'label': '40A13', 'order': 40, 'powers': [73, 23], 'representative': 104, 'size': 2}
  • id: 109743758
    {'aut_label': '40A1', 'centralizer': '2.g1', 'counter': 98, 'group_counter': 1579, 'group_order': 320, 'label': '40A-13', 'order': 40, 'powers': [74, 22], 'representative': 136, 'size': 2}
  • id: 109743759
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 99, 'group_counter': 1579, 'group_order': 320, 'label': '40B1', 'order': 40, 'powers': [71, 24], 'representative': 12, 'size': 4}
  • id: 109743652
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 100, 'group_counter': 1579, 'group_order': 320, 'label': '40B-1', 'order': 40, 'powers': [72, 24], 'representative': 76, 'size': 4}
  • id: 109743653
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 101, 'group_counter': 1579, 'group_order': 320, 'label': '40B3', 'order': 40, 'powers': [73, 24], 'representative': 28, 'size': 4}
  • id: 109743654
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 102, 'group_counter': 1579, 'group_order': 320, 'label': '40B-3', 'order': 40, 'powers': [74, 24], 'representative': 140, 'size': 4}
  • id: 109743655
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 103, 'group_counter': 1579, 'group_order': 320, 'label': '40C1', 'order': 40, 'powers': [71, 25], 'representative': 9, 'size': 4}
  • id: 109743656
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 104, 'group_counter': 1579, 'group_order': 320, 'label': '40C-1', 'order': 40, 'powers': [72, 25], 'representative': 73, 'size': 4}
  • id: 109743657
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 105, 'group_counter': 1579, 'group_order': 320, 'label': '40C3', 'order': 40, 'powers': [73, 25], 'representative': 25, 'size': 4}
  • id: 109743658
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 106, 'group_counter': 1579, 'group_order': 320, 'label': '40C-3', 'order': 40, 'powers': [74, 25], 'representative': 137, 'size': 4}
  • id: 109743659
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 107, 'group_counter': 1579, 'group_order': 320, 'label': '40D1', 'order': 40, 'powers': [71, 26], 'representative': 13, 'size': 4}
  • id: 109743660
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 108, 'group_counter': 1579, 'group_order': 320, 'label': '40D-1', 'order': 40, 'powers': [72, 26], 'representative': 77, 'size': 4}
  • id: 109743661
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 109, 'group_counter': 1579, 'group_order': 320, 'label': '40D3', 'order': 40, 'powers': [73, 26], 'representative': 29, 'size': 4}
  • id: 109743663
    {'aut_label': '40B1', 'centralizer': '4.e1', 'counter': 110, 'group_counter': 1579, 'group_order': 320, 'label': '40D-3', 'order': 40, 'powers': [74, 26], 'representative': 141, 'size': 4}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 4384307
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1a', '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], 'schur_index': 1}
  • id: 4384318
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1b', '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], 'schur_index': 1}
  • id: 4384329
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1c', '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], 'schur_index': 1}
  • id: 4384340
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1d', '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], 'schur_index': 1}
  • id: 4384344
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1e', '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], 'schur_index': 1}
  • id: 4384345
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1f', '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], 'schur_index': 1}
  • id: 4384346
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1g', '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], 'schur_index': 1}
  • id: 4384347
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1h', '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], 'schur_index': 1}
  • id: 4384348
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1i', '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], 'schur_index': 1}
  • id: 4384308
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1j', '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], 'schur_index': 1}
  • id: 4384309
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1k', '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], 'schur_index': 1}
  • id: 4384310
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1l', '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], 'schur_index': 1}
  • id: 4384311
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1m', '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], 'schur_index': 1}
  • id: 4384312
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1n', '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], 'schur_index': 1}
  • id: 4384313
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1o', '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], 'schur_index': 1}
  • id: 4384314
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1p', '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], 'schur_index': 1}
  • id: 4384333
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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], 'schur_index': 1}
  • id: 4384334
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 2, 0, 0, 0, 0, 2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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], 'schur_index': 1}
  • id: 4384335
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, 0, 0, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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], 'schur_index': 1}
  • id: 4384336
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 0, 0, 0, 0, -2, -2, 2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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], 'schur_index': 1}
  • id: 4384315
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1q', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4384316
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1r', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 4, 4, -4, -4, -4, 4, 4, 4, -4, -4, 4, -1, -1, -1, -1, 4, 4, -4, -4, 4, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 4384317
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1s', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 4, 4, 4, -4, -4, 4, 4, -4, -4, 4, -4, -1, -1, -1, -1, -4, -4, 4, 4, -4, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4384319
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1t', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -4, 4, -1, -1, -1, -1, -4, -4, 4, 4, -4, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4384320
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1u', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, -4, -4, 4, -4, -4, 4, 4, -4, 4, 4, -4, -1, -1, -1, -1, 4, 4, -4, -4, 4, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 4384321
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1v', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, 4, -4, -4, -4, 4, -4, 4, 4, 4, 4, -4, -1, -1, -1, -1, -4, -4, 4, -4, 4, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 4384322
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1w', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -1, -1, -1, -1, 4, 4, -4, 4, -4, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4384323
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1x', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, 4, -4, 4, -4, -4, 4, -4, 4, 4, -4, 4, -4, -1, -1, -1, -1, 4, 4, -4, 4, -4, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4384324
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1y', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, 4, -4, 4, 4, -4, 4, -4, 4, -4, -4, -4, 4, -1, -1, -1, -1, -4, -4, 4, -4, 4, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 4384325
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1z', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, -4, -4, 4, -4, 4, -4, -4, 4, -4, 4, 4, 4, -1, -1, -1, -1, -4, -4, -4, 4, 4, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4384326
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1aa', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -4, 4, 4, 4, -4, -4, -1, -1, -1, -1, 4, 4, 4, -4, -4, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4384327
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1ab', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, 4, 4, -4, -4, 4, -4, -4, 4, -4, -4, 4, 4, -1, -1, -1, -1, 4, 4, 4, -4, -4, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4384328
    {'cdim': 1, 'counter': 29, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1ac', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, 4, 4, -4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -1, -1, -1, -1, -4, -4, -4, 4, 4, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4384330
    {'cdim': 1, 'counter': 30, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1ad', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4384331
    {'cdim': 1, 'counter': 31, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1ae', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, 4, -4, 4, 4, -1, -1, -1, -1, -4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4384332
    {'cdim': 1, 'counter': 32, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.1af', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, 4, 4, -4, 4, -4, -4, -1, -1, -1, -1, -4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4384337
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.2e', 'multiplicity': 4, 'nt': [20, 12], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 0, 0, 0, 0, 8, 8, 8, -8, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 4384338
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.2f', 'multiplicity': 4, 'nt': [20, 12], 'qdim': 8, 'qvalues': [8, 8, -8, 8, 8, 0, 0, 0, 0, 8, -8, -8, -8, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 4384339
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.2g', 'multiplicity': 4, 'nt': [20, 12], 'qdim': 8, 'qvalues': [8, 8, 8, -8, 8, 0, 0, 0, 0, -8, 8, -8, -8, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 4384341
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.2h', 'multiplicity': 4, 'nt': [20, 12], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, 0, 0, 0, 0, -8, -8, 8, -8, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 4384342
    {'cdim': 4, 'counter': 41, 'faithful': False, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.4a', 'multiplicity': 2, 'nt': [16, 116], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4384343
    {'cdim': 4, 'counter': 42, 'faithful': True, 'group': '320.1579', 'group_order': 320, 'image': None, 'label': '320.1579.4b', 'multiplicity': 8, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 6651288
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 320, 'label': '320.1579.1a', '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]]]}
  • id: 6651351
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 57, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1aa1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]]]}
  • id: 6651352
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 58, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1aa2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]]]}
  • id: 6651353
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 59, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1aa3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]]]}
  • id: 6651355
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 60, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1aa4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]]]}
  • id: 6651356
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 61, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1ab1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]]]}
  • id: 6651357
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 62, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1ab2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]]]}
  • id: 6651358
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 63, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1ab3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]]]}
  • id: 6651359
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 64, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1ab4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]]]}
  • id: 6651360
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 65, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1ac1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]]]}
  • id: 6651361
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 66, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1ac2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]]]}
  • id: 6651362
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 67, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1ac3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]]]}
  • id: 6651363
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 68, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1ac4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]]]}
  • id: 6651364
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 69, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.g1', 'kernel_order': 32, 'label': '320.1579.1ad1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]]]}
  • id: 6651366
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 70, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.g1', 'kernel_order': 32, 'label': '320.1579.1ad2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]]]}
  • id: 6651367
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 71, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.g1', 'kernel_order': 32, 'label': '320.1579.1ad3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]]]}
  • id: 6651368
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 72, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.g1', 'kernel_order': 32, 'label': '320.1579.1ad4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]]]}
  • id: 6651369
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 73, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.f1', 'kernel_order': 32, 'label': '320.1579.1ae1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]]]}
  • id: 6651370
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 74, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.f1', 'kernel_order': 32, 'label': '320.1579.1ae2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]]]}
  • id: 6651371
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 75, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.f1', 'kernel_order': 32, 'label': '320.1579.1ae3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]]]}
  • id: 6651372
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 76, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.f1', 'kernel_order': 32, 'label': '320.1579.1ae4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]]]}
  • id: 6651373
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 77, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 32, 'label': '320.1579.1af1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]]]}
  • id: 6651374
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 78, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 32, 'label': '320.1579.1af2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]]]}
  • id: 6651375
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 79, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 32, 'label': '320.1579.1af3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]]]}
  • id: 6651377
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 80, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 32, 'label': '320.1579.1af4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]]]}
  • id: 6651310
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 160, 'label': '320.1579.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 6651321
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 160, 'label': '320.1579.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 6651332
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 160, 'label': '320.1579.1d', '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]]]}
  • id: 6651343
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 160, 'label': '320.1579.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 6651354
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 160, 'label': '320.1579.1f', '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]]]}
  • id: 6651365
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 160, 'label': '320.1579.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-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: 6651376
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 160, 'label': '320.1579.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-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: 6651387
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 9, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 160, 'label': '320.1579.1i', '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]]]}
  • id: 6651289
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 10, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 160, 'label': '320.1579.1j', '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]]]}
  • id: 6651300
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 11, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 160, 'label': '320.1579.1k', '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]]]}
  • id: 6651302
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 12, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 160, 'label': '320.1579.1l', '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]]]}
  • id: 6651303
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 13, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 160, 'label': '320.1579.1m', '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]]]}
  • id: 6651304
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 14, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1', 'kernel_order': 160, 'label': '320.1579.1n', '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]]]}
  • id: 6651305
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 160, 'label': '320.1579.1o', '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]]]}
  • id: 6651306
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 160, 'label': '320.1579.1p', '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]]]}
  • id: 6651307
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 17, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 64, 'label': '320.1579.1q1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]]]}
  • id: 6651308
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 18, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 64, 'label': '320.1579.1q2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]]]}
  • id: 6651309
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 19, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 64, 'label': '320.1579.1q3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]]]}
  • id: 6651311
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 20, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 64, 'label': '320.1579.1q4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]]]}
  • id: 6651312
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 21, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1r1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -2]]]}
  • id: 6651313
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 22, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1r2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 2]]]}
  • id: 6651314
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 23, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1r3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, -1]]]}
  • id: 6651315
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 24, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1r4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, 1]]]}
  • id: 6651316
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 25, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1s1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -2]]]}
  • id: 6651317
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 26, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1s2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 2]]]}
  • id: 6651318
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 27, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1s3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, -1]]]}
  • id: 6651319
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 28, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1s4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 1]]]}
  • id: 6651320
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 29, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1t1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -2]]]}
  • id: 6651322
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 30, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1t2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 2]]]}
  • id: 6651323
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 31, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1t3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, -1]]]}
  • id: 6651324
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 32, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1t4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 1]]]}
  • id: 6651325
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 33, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1u1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -2]]]}
  • id: 6651326
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 34, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1u2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 2]]]}
  • id: 6651327
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 35, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1u3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, -1]]]}
  • id: 6651328
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 36, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1u4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, 1]]]}
  • id: 6651329
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 37, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1v1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -2]]]}
  • id: 6651330
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 38, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1v2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 2]]]}
  • id: 6651331
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 39, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1v3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, -1]]]}
  • id: 6651333
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 40, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1v4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, 1]]]}
  • id: 6651334
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 41, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1w1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -2]]]}
  • id: 6651335
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 42, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1w2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 2]]]}
  • id: 6651336
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 43, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1w3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, -1]]]}
  • id: 6651337
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 44, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 32, 'label': '320.1579.1w4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 1]]]}
  • id: 6651338
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 45, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1x1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -2]]]}
  • id: 6651339
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 46, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1x2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 2]]]}
  • id: 6651340
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 47, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1x3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, -1]]]}
  • id: 6651341
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 48, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 32, 'label': '320.1579.1x4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 1]]]}
  • id: 6651342
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 49, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1y1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -2]]]}
  • id: 6651344
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 50, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1y2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 2]]]}
  • id: 6651345
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 51, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1y3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, -1]]]}
  • id: 6651346
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 52, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 32, 'label': '320.1579.1y4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, 1]]]}
  • id: 6651347
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 53, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1z1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]]]}
  • id: 6651348
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 54, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1z2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]]]}
  • id: 6651349
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 55, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1z3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]]]}
  • id: 6651350
    {'center': '1.a1', 'center_index': 1, 'center_order': 320, 'counter': 56, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 32, 'label': '320.1579.1z4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]]]}
  • id: 6651378
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 81, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.e1', 'kernel_order': 40, 'label': '320.1579.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651379
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 82, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 40, 'label': '320.1579.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651380
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 83, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 40, 'label': '320.1579.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651381
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 84, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 40, 'label': '320.1579.2d', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651382
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 85, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 8, 'label': '320.1579.2e1', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, -2]], [[-2, -2]], [[-2, 2]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[2, -2]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651383
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 86, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 8, 'label': '320.1579.2e2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, 2]], [[-2, 2]], [[-2, -2]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651384
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 87, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 8, 'label': '320.1579.2e3', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-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]], [[-2, 1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[-2, 2]], [[-2, -2]], [[2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651385
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 88, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 8, 'label': '320.1579.2e4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-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]], [[-2, -1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[-2, -2]], [[-2, 2]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651386
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 89, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2f1', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[-2, 2]], [[-2, 1]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -2]], [[-2, -2]], [[2, 2]], [[2, 2]], [[2, 1]], [[2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[2, -1]], [[2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, -2]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651388
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 90, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2f2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[-2, -2]], [[-2, -1]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 2]], [[-2, 2]], [[2, -2]], [[2, -2]], [[2, -1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[2, -2]], [[2, 1]], [[2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651389
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 91, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2f3', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-2, -2]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, -1]], [[-2, -1]], [[2, 1]], [[2, 1]], [[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]], [[-2, 1]], [[2, 1]], [[2, 2]], [[2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, 2]], [[-2, -2]], [[2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651390
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 92, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2f4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 2]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, 1]], [[-2, 1]], [[2, -1]], [[2, -1]], [[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]], [[-2, -1]], [[2, -1]], [[2, -2]], [[2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, -2]], [[-2, 2]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651391
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 93, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2g1', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 2]], [[2, 1]], [[-2, -1]], [[2, -2]], [[-2, 1]], [[-2, -2]], [[2, -2]], [[2, 2]], [[-2, 2]], [[2, 1]], [[2, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651392
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 94, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2g2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -2]], [[2, -1]], [[-2, 1]], [[2, 2]], [[-2, -1]], [[-2, 2]], [[2, 2]], [[2, -2]], [[-2, -2]], [[2, -1]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651393
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 95, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2g3', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -2]], [[-2, 2]], [[2, -1]], [[-2, -2]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[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]], [[-2, 1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651394
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 96, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2g4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 2]], [[-2, -2]], [[2, 1]], [[-2, 2]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[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]], [[-2, -1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651395
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 97, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2h1', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 2]], [[2, 1]], [[2, -1]], [[-2, -2]], [[2, 1]], [[2, -2]], [[2, -2]], [[-2, 2]], [[2, 2]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651396
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 98, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2h2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -2]], [[2, -1]], [[2, 1]], [[-2, 2]], [[2, -1]], [[2, 2]], [[2, 2]], [[-2, -2]], [[2, -2]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651397
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 99, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2h3', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -2]], [[2, 2]], [[-2, -1]], [[2, -2]], [[2, -1]], [[2, -1]], [[-2, 1]], [[2, 1]], [[-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]], [[-2, 1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651290
    {'center': '4.g1', 'center_index': 4, 'center_order': 80, 'counter': 100, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 8, 'label': '320.1579.2h4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 2]], [[2, -2]], [[-2, 1]], [[2, 2]], [[2, 1]], [[2, 1]], [[-2, -1]], [[2, -1]], [[-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]], [[-2, -1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6651291
    {'center': '32.a1', 'center_index': 32, 'center_order': 10, 'counter': 101, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [2, 0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '64.258', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1', 'kernel_order': 5, 'label': '320.1579.4a1', 'nt': [16, 116], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 1], [-2, 3]], [[2, 1], [2, 3]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3]], [[2, 1], [2, 3]], [[-2, 1], [-2, 3]], [[-2, 1], [-2, 3]], [[-2, 1], [-2, 3]], [[2, 1], [2, 3]], [[2, 1], [2, 3]], [[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]]]}
  • id: 6651292
    {'center': '32.a1', 'center_index': 32, 'center_order': 10, 'counter': 102, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [2, 0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '64.258', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1', 'kernel_order': 5, 'label': '320.1579.4a2', 'nt': [16, 2], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[2, 1], [2, 3]], [[-2, 1], [-2, 3]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3]], [[-2, 1], [-2, 3]], [[2, 1], [2, 3]], [[2, 1], [2, 3]], [[2, 1], [2, 3]], [[-2, 1], [-2, 3]], [[-2, 1], [-2, 3]], [[-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]]]}
  • id: 6651293
    {'center': '32.a1', 'center_index': 32, 'center_order': 10, 'counter': 103, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '320.1579', 'image_order': 320, 'indicator': 0, 'kernel': '320.a1', 'kernel_order': 1, 'label': '320.1579.4b1', 'nt': [80, 0], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[-4, 12]], [[4, 8]], [[4, 16]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 8]], [[4, 12]], [[4, 4]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 11]], [[-2, 1], [-2, 11]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[2, 3], [-2, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-2, 3], [2, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-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]]]}
  • id: 6651294
    {'center': '32.a1', 'center_index': 32, 'center_order': 10, 'counter': 104, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '320.1579', 'image_order': 320, 'indicator': 0, 'kernel': '320.a1', 'kernel_order': 1, 'label': '320.1579.4b2', 'nt': [80, 8], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 16]], [[4, 8]], [[-4, 12]], [[-4, 4]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 8]], [[-4, 16]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-2, 1], [-2, 11]], [[-2, 3], [2, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[2, 3], [-2, 13]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[2, 1], [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]]]}
  • id: 6651295
    {'center': '32.a1', 'center_index': 32, 'center_order': 10, 'counter': 105, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '320.1579', 'image_order': 320, 'indicator': 0, 'kernel': '320.a1', 'kernel_order': 1, 'label': '320.1579.4b3', 'nt': [80, 0], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[-4, 12]], [[4, 8]], [[4, 16]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 8]], [[4, 12]], [[4, 4]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 11]], [[2, 1], [2, 11]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-2, 3], [2, 13]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[2, 3], [-2, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [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]]]}
  • id: 6651296
    {'center': '32.a1', 'center_index': 32, 'center_order': 10, 'counter': 106, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '320.1579', 'image_order': 320, 'indicator': 0, 'kernel': '320.a1', 'kernel_order': 1, 'label': '320.1579.4b4', 'nt': [80, 8], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 16]], [[4, 8]], [[-4, 12]], [[-4, 4]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 8]], [[-4, 16]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[2, 1], [2, 11]], [[2, 3], [-2, 13]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[-2, 3], [2, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-2, 1], [-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]]]}
  • id: 6651297
    {'center': '32.a1', 'center_index': 32, 'center_order': 10, 'counter': 107, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '320.1579', 'image_order': 320, 'indicator': 0, 'kernel': '320.a1', 'kernel_order': 1, 'label': '320.1579.4b5', 'nt': [80, 0], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 16]], [[-4, 4]], [[4, 8]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 16]], [[4, 12]], [[-4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, 13]], [[-2, 3], [2, 13]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[2, 1], [2, 11]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-2, 1], [-2, 11]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-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]]]}
  • id: 6651298
    {'center': '32.a1', 'center_index': 32, 'center_order': 10, 'counter': 108, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '320.1579', 'image_order': 320, 'indicator': 0, 'kernel': '320.a1', 'kernel_order': 1, 'label': '320.1579.4b6', 'nt': [80, 8], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 4]], [[4, 16]], [[-4, 12]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 16]], [[4, 4]], [[-4, 8]], [[4, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[-2, 3], [2, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[-2, 1], [-2, 11]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[2, 1], [2, 11]], [[2, 3], [-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]]]}
  • id: 6651299
    {'center': '32.a1', 'center_index': 32, 'center_order': 10, 'counter': 109, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '320.1579', 'image_order': 320, 'indicator': 0, 'kernel': '320.a1', 'kernel_order': 1, 'label': '320.1579.4b7', 'nt': [80, 0], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 16]], [[-4, 4]], [[4, 8]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 16]], [[4, 12]], [[-4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [2, 13]], [[2, 3], [-2, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-2, 1], [-2, 11]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[2, 1], [2, 11]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [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]]]}
  • id: 6651301
    {'center': '32.a1', 'center_index': 32, 'center_order': 10, 'counter': 110, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '320.1579', 'group_counter': 1579, 'group_order': 320, 'image': None, 'image_isoclass': '320.1579', 'image_order': 320, 'indicator': 0, 'kernel': '320.a1', 'kernel_order': 1, 'label': '320.1579.4b8', 'nt': [80, 8], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 4]], [[4, 16]], [[-4, 12]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 16]], [[4, 4]], [[-4, 8]], [[4, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[2, 3], [-2, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[2, 1], [2, 11]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[-2, 1], [-2, 11]], [[-2, 3], [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]]]}
• 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: 65328910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 320, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '320.1579.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, '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': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '320.1579', 'subgroup_hash': 1579, 'subgroup_order': 320, 'subgroup_tex': 'C_{40}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 65328930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 160, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, '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': '160.196', 'subgroup_hash': 196, 'subgroup_order': 160, 'subgroup_tex': 'D_8:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 160, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, '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': '160.198', 'subgroup_hash': 198, 'subgroup_order': 160, 'subgroup_tex': 'Q_{16}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 160, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, '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': '160.197', 'subgroup_hash': 197, 'subgroup_order': 160, 'subgroup_tex': 'D_8:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 160, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, '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': '160.194', 'subgroup_hash': 194, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 65328974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 160, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, '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': '160.232', 'subgroup_hash': 232, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 65328985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 160, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.2.f1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, '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': '160.233', 'subgroup_hash': 233, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 65328996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 160, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.2.g1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.g1', 'outer_equivalence': True, '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': '160.192', 'subgroup_hash': 192, 'subgroup_order': 160, 'subgroup_tex': '\\OD_{16}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65329007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 80, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, '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': '80.48', 'subgroup_hash': 48, 'subgroup_order': 80, 'subgroup_tex': 'D_4:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 80, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, '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': '80.46', 'subgroup_hash': 46, 'subgroup_order': 80, 'subgroup_tex': 'D_4\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 80, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.48', 'subgroup_hash': 48, 'subgroup_order': 80, 'subgroup_tex': 'D_4:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 80, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328923
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 80, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 65328924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, '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': True, '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: 65328925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 80, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, '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': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.48', 'subgroup_hash': 48, 'subgroup_order': 80, 'subgroup_tex': 'D_4:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 80, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.25', 'subgroup_hash': 25, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 65328927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.26', 'subgroup_hash': 26, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 65328928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 80, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.26', 'subgroup_hash': 26, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 65328929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 40, 'characteristic': True, 'core_order': 80, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.k1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.26', 'subgroup_hash': 26, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 65328931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 80, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.4.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.l1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.27', 'subgroup_hash': 27, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 65328932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 40, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.4.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.46', 'subgroup_hash': 46, 'subgroup_order': 80, 'subgroup_tex': 'D_4\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 40, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.4.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.48', 'subgroup_hash': 48, 'subgroup_order': 80, 'subgroup_tex': 'D_4:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 40, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.4.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.48', 'subgroup_hash': 48, 'subgroup_order': 80, 'subgroup_tex': 'D_4:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 40, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.4.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 10, 'characteristic': True, 'core_order': 64, 'counter': 25, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '320.1579.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.258', 'subgroup_hash': 258, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_2^2', 'supersolvable': True, 'sylow': 2}
  • id: 65328937
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 65328938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.10', 'subgroup_hash': 10, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 40, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.10', 'subgroup_hash': 10, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 40, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.10', 'subgroup_hash': 10, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': True, 'core_order': 40, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 65328943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 40, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 65328944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 40, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 65328945
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 40, 'counter': 33, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '320.1579.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, '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': [], '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: 65328946
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 34, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '320.1579.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, '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': [], '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: 65328947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.10', 'subgroup_hash': 10, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328948
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.10', 'subgroup_hash': 10, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328950
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.8.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 65328951
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.8.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 65328953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.8.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.10', 'subgroup_hash': 10, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328954
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.8.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 65328955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.8.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 65328956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 32, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 65328957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 32, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.44', 'subgroup_hash': 44, 'subgroup_order': 32, 'subgroup_tex': 'Q_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 65328958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 32, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.43', 'subgroup_hash': 43, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 65328959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 32, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.10.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.40', 'subgroup_hash': 40, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 65328960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 32, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.10.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 65328961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 32, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.10.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.50', 'subgroup_hash': 50, 'subgroup_order': 32, 'subgroup_tex': 'C_4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 65328962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 32, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.10.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 65328964
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328965
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 51, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '320.1579.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 65328966
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 20, 'counter': 52, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '320.1579.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], '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: 65328967
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328968
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328969
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 55, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '320.1579.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 65328970
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 56, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '320.1579.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 65328971
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 5, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 16, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 65328973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 16, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 16, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 65328976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 16, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 65328977
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 16, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 65328978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 65328979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 16, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 65328980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 16, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 65328981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 65328982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 16, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 65328983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 40, 'characteristic': True, 'core_order': 16, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 65328984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 16, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.20.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 65328986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 8, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.20.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.m1', 'outer_equivalence': True, 'perfect': False, '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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 8, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.20.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.n1', 'outer_equivalence': True, 'perfect': False, '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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 65328988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 8, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.20.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.o1', 'outer_equivalence': True, 'perfect': False, '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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 65328989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 8, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.20.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.p1', 'outer_equivalence': True, 'perfect': False, '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': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 65328990
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 320, 'characteristic': True, 'core_order': 10, 'counter': 74, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '320.1579.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'S', 'U2', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328991
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 5, 'counter': 75, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '320.1579.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, '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': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328992
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 5, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '320.1579.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, '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': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328993
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 5, 'counter': 77, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '320.1579.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, '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': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65328994
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', '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: 65328995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 8, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 8, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': True, 'core_order': 8, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.40.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 65329000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 8, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.40.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 65329001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 8, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.40.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 65329002
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 8, 'counter': 85, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '320.1579.40.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', '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: 65329003
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 86, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '320.1579.40.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', '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: 65329004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.40.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.j1', 'outer_equivalence': True, 'perfect': False, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65329005
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.40.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.k1', 'outer_equivalence': True, 'perfect': False, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 65329006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.40.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.l1', 'outer_equivalence': True, 'perfect': False, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65329008
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.40.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.m1', 'outer_equivalence': True, 'perfect': False, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 65329009
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.40.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.n1', 'outer_equivalence': True, 'perfect': False, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 65329010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.40.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.o1', 'outer_equivalence': True, 'perfect': False, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 65329011
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.40.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.p1', 'outer_equivalence': True, 'perfect': False, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 65329012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.40.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.q1', 'outer_equivalence': True, 'perfect': False, '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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 65329013
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 320, 'characteristic': True, 'core_order': 5, 'counter': 95, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '320.1579.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.258', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 258, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^2', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 65329014
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '320.1579.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{10}', '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: 65329015
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 97, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '320.1579.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{10}', '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: 65329016
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 4, 'counter': 98, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '320.1579.80.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.52', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'Phi', 'L1', 'D1'], '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: 65329017
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.80.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.d1', 'outer_equivalence': True, 'perfect': False, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 65328912
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.80.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.e1', 'outer_equivalence': True, 'perfect': False, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 65328913
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '320.1579.80.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.f1', 'outer_equivalence': True, 'perfect': False, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328914
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 102, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '320.1579.80.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.g1', 'outer_equivalence': True, 'perfect': False, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 65328915
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 1, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '320.1579.80.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.h1', 'outer_equivalence': True, 'perfect': False, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 65328916
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 320, 'characteristic': True, 'core_order': 2, 'counter': 104, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '320.1579.160.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.229', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 229, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:C_2^3', 'simple': True, 'solvable': True, 'special_labels': ['L2'], '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: 65328917
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 1, 'counter': 105, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '320.1579.160.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.b1', 'outer_equivalence': True, 'perfect': False, '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': 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: 65328918
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '320.1579.160.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.c1', 'outer_equivalence': True, 'perfect': False, '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': 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: 65328919
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '320.1579.160.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.d1', 'outer_equivalence': True, 'perfect': False, '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': 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: 65328920
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '320.1579', 'ambient_counter': 1579, 'ambient_order': 320, 'ambient_tex': 'C_{40}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 320, 'characteristic': True, 'core_order': 1, 'counter': 108, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '320.1579.320.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '320.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '320.1579', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1579, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'L3', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 65328970
    {'ambient': '320.1579', 'aut_centralizer_order': 96, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '4.o1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1', '8.j1', '8.n1'], 'contains': ['32.a1', '80.g1'], 'core': '32.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2859, -1, 5550, -1], 'generators': [167, 160, 64], 'label': '320.1579.16.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.g1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65328971
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '8.k1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.k1'], 'contains': ['32.b1', '32.c1', '80.h1'], 'core': '64.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [189, -1, 4891, -1], 'generators': [2, 64, 4], 'label': '320.1579.16.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.k1', 'old_label': '16.h1', 'projective_image': '64.258', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65328915
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '80.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '8.k1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.h1', '40.k1'], 'contains': ['160.b1', '160.c1'], 'core': '320.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [298, -1, 5227, -1], 'generators': [2, 4], 'label': '320.1579.80.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.k1', 'old_label': '80.h1', 'projective_image': '320.1579', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65328910
    {'ambient': '320.1579', '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': '32.a1', 'complements': ['320.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '2.g1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7152, 5626, 4267, 5659], 'generators': [1, 80, 4, 40, 2, 160, 64], 'label': '320.1579.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '2.g1', '5.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 65328911
    {'ambient': '320.1579', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '128.2161', 'aut_weyl_index': 12, 'centralizer': '16.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.c1', '2.d1', '2.e1'], 'contains': ['8.a1', '8.c1', '8.k1', '8.o1', '20.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4737, 2071, 5051, 6550], 'generators': [2, 80, 64, 4, 160], 'label': '320.1579.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.c1', '2.d1', '2.e1'], 'normal_contains': ['8.a1', '8.c1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328912
    {'ambient': '320.1579', 'aut_centralizer_order': 384, 'aut_label': '80.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '4.p1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '40.d1', '40.l1', '40.p1'], 'contains': ['160.a1', '160.d1'], 'core': '160.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3833, -1, 7106, -1], 'generators': [47, 160], 'label': '320.1579.80.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '80.e1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65328913
    {'ambient': '320.1579', 'aut_centralizer_order': 128, 'aut_label': '80.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '4.n1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.f1', '40.f1', '40.l1', '40.m1', '40.p1', '40.q1'], 'contains': ['160.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3633, -1, 7628, -1], 'generators': [206], 'label': '320.1579.80.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '80.f1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65328914
    {'ambient': '320.1579', 'aut_centralizer_order': 384, 'aut_label': '80.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '4.o1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1', '40.g1', '40.j1', '40.n1'], 'contains': ['160.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1794, -1, 5665, -1], 'generators': [167], 'label': '320.1579.80.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '80.g1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65328916
    {'ambient': '320.1579', 'aut_centralizer_order': 1536, 'aut_label': '160.a1', 'aut_quo_index': 128, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '80.a1', '80.b1', '80.c1', '80.d1', '80.e1', '80.f1', '80.g1'], 'contains': ['320.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2151, 808, 6637, 6837], 'generators': [160], 'label': '320.1579.160.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '160.a1', 'normal_contained_in': ['32.a1', '80.a1', '80.b1', '80.c1'], 'normal_contains': ['320.a1'], 'normalizer': '1.a1', 'old_label': '160.a1', 'projective_image': '160.229', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.229', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65328917
    {'ambient': '320.1579', 'aut_centralizer_order': 256, 'aut_label': '160.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1536, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['32.b1', '80.a1', '80.h1'], 'contains': ['320.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1165, -1, 6298, -1], 'generators': [4], 'label': '320.1579.160.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '160.b1', 'projective_image': '320.1579', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65328918
    {'ambient': '320.1579', 'aut_centralizer_order': 128, 'aut_label': '160.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1536, 'centralizer': '4.m1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['32.c1', '80.d1', '80.h1'], 'contains': ['320.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [902, -1, 5663, -1], 'generators': [6], 'label': '320.1579.160.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1', 'old_label': '160.c1', 'projective_image': '320.1579', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65328919
    {'ambient': '320.1579', 'aut_centralizer_order': 384, 'aut_label': '160.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1536, 'centralizer': '4.p1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '80.e1'], 'contains': ['320.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2942, -1, 6906, -1], 'generators': [47], 'label': '320.1579.160.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.p1', 'old_label': '160.d1', 'projective_image': '320.1579', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65328920
    {'ambient': '320.1579', 'aut_centralizer_order': None, 'aut_label': '320.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '160.a1', '160.b1', '160.c1', '160.d1'], 'contains': [], 'core': '320.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1348, 443, 6468, 6719], 'generators': [], 'label': '320.1579.320.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '320.a1', 'normal_contained_in': ['64.a1', '160.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '320.a1', 'projective_image': '320.1579', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65328921
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '16.b1', 'complements': ['80.h1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.c1', '2.f1'], 'contains': ['8.a1', '8.d1', '8.f1', '8.l1', '8.p1', '20.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [5605, 5004, 5441, 4455], 'generators': [165, 80, 64, 202, 160], 'label': '320.1579.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1', '2.c1', '2.f1'], 'normal_contains': ['8.a1', '8.d1', '8.f1', '20.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '32.46', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328922
    {'ambient': '320.1579', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '128.2161', 'aut_weyl_index': 12, 'centralizer': '16.a1', 'complements': ['80.h1'], 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '2.d1', '2.f1'], 'contains': ['8.a1', '8.f1', '8.m1', '8.q1', '20.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [6037, 2708, 6141, 5294], 'generators': [202, 80, 64, 4, 160], 'label': '320.1579.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.b1', '2.d1', '2.f1'], 'normal_contains': ['8.a1', '8.f1', '20.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328923
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '32.45', 'aut_weyl_index': 48, 'centralizer': '4.e1', 'complements': ['80.h1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.d1', '2.g1'], 'contains': ['8.a1', '8.h1', '8.i1', '20.e1'], 'core': '4.e1', 'coset_action_label': None, 'count': 3, 'diagramx': [9179, 6950, 1922, 3918], 'generators': [4, 64, 80, 40, 160], 'label': '320.1579.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1', '2.d1', '2.g1'], 'normal_contains': ['8.a1', '8.h1', '8.i1', '20.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328924
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '8.h1', 'complements': ['80.h1'], 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '2.c1', '2.g1'], 'contains': ['8.a1', '8.i1', '20.f1'], 'core': '4.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [7214, 7700, 3113, 5922], 'generators': [41, 64, 80, 4, 160], 'label': '320.1579.4.f1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1', 'normal_contained_in': ['2.b1', '2.c1', '2.g1'], 'normal_contains': ['8.a1', '8.i1', '20.f1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '32.46', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328925
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '192.1469', 'aut_weyl_index': 8, 'centralizer': '8.h1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.e1', '2.f1', '2.g1'], 'contains': ['8.a1', '8.b1', '8.e1', '20.g1'], 'core': '4.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [4208, 1282, 7579, 8596], 'generators': [1, 80, 64, 4, 160], 'label': '320.1579.4.g1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1', 'normal_contained_in': ['2.e1', '2.f1', '2.g1'], 'normal_contains': ['8.a1', '8.b1', '8.e1', '20.g1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328926
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '4.h1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '16.b1', 'complements': ['80.h1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.c1', '8.d1', '8.i1', '20.h1'], 'core': '4.h1', 'coset_action_label': None, 'count': 3, 'diagramx': [7683, 9895, 660, 2168], 'generators': [205, 64, 240, 2, 160], 'label': '320.1579.4.h1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.h1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.c1', '8.d1', '8.i1', '20.h1'], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': '32.46', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328927
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '4.i1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '8.b1', 'complements': ['80.h1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.c1', '8.f1', '8.h1', '20.i1'], 'core': '4.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [8679, 4250, 1082, 1049], 'generators': [6, 64, 80, 40, 160], 'label': '320.1579.4.i1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.i1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.c1', '8.f1', '8.h1', '20.i1'], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65328928
    {'ambient': '320.1579', 'aut_centralizer_order': 4, 'aut_label': '4.j1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '16.a1', 'complements': ['80.h1'], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '2.c1', '2.d1'], 'contains': ['8.c1', '8.f1', '8.i1', '20.j1'], 'core': '4.j1', 'coset_action_label': None, 'count': 6, 'diagramx': [6639, 5905, 2593, 3294], 'generators': [2, 64, 80, 44, 160], 'label': '320.1579.4.j1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.j1', 'normal_contained_in': ['2.b1', '2.c1', '2.d1'], 'normal_contains': ['8.c1', '8.f1', '8.i1', '20.j1'], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.j1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328929
    {'ambient': '320.1579', 'aut_centralizer_order': 24, 'aut_label': '4.k1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '8.e1', 'complements': ['80.h1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.d1', '8.g1', '8.h1', '20.k1'], 'core': '4.k1', 'coset_action_label': None, 'count': 1, 'diagramx': [9679, 9200, 239, 330], 'generators': [167, 64, 80, 40, 160], 'label': '320.1579.4.k1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.k1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.d1', '8.g1', '8.h1', '20.k1'], 'normalizer': '1.a1', 'old_label': '4.k1', 'projective_image': '32.46', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.k1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65328930
    {'ambient': '320.1579', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '128.2154', 'aut_weyl_index': 12, 'centralizer': '16.b1', 'complements': ['160.b1', '160.c1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.e1', '4.h1', '4.i1', '4.k1', '4.l1', '10.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8679, 8434, 1922, 2663], 'generators': [165, 160, 40, 64, 2, 80], 'label': '320.1579.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '4.e1', '4.h1', '4.i1', '4.k1', '4.l1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328931
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '4.l1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '16.b1', 'complements': ['80.h1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.f1', '8.g1', '8.i1', '20.l1'], 'core': '4.l1', 'coset_action_label': None, 'count': 3, 'diagramx': [8077, 8450, 1536, 1677], 'generators': [205, 64, 240, 202, 160], 'label': '320.1579.4.l1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.l1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.f1', '8.g1', '8.i1', '20.l1'], 'normalizer': '1.a1', 'old_label': '4.l1', 'projective_image': '32.46', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.l1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328932
    {'ambient': '320.1579', 'aut_centralizer_order': 4, 'aut_label': '4.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '16.d1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.e1'], 'contains': ['8.b1', '8.j1', '8.k1', '8.n1', '8.o1', '20.m1'], 'core': '8.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [926, -1, 6795, -1], 'generators': [1, 4, 64, 2, 160], 'label': '320.1579.4.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '4.m1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.m1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328933
    {'ambient': '320.1579', 'aut_centralizer_order': 4, 'aut_label': '4.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '16.f1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.f1'], 'contains': ['8.b1', '8.l1', '8.m1', '8.p1', '8.q1', '20.n1'], 'core': '8.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2991, -1, 8290, -1], 'generators': [1, 4, 64, 202, 160], 'label': '320.1579.4.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '4.n1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.n1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328934
    {'ambient': '320.1579', 'aut_centralizer_order': 4, 'aut_label': '4.o1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '192.1469', 'aut_weyl_index': 8, 'centralizer': '16.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1'], 'contains': ['8.e1', '8.n1', '8.o1', '20.o1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [1515, -1, 7186, -1], 'generators': [81, 84, 64, 82, 160], 'label': '320.1579.4.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '4.o1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.o1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328935
    {'ambient': '320.1579', 'aut_centralizer_order': 4, 'aut_label': '4.p1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '192.1469', 'aut_weyl_index': 8, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1'], 'contains': ['8.e1', '8.p1', '8.q1', '20.p1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3487, -1, 9215, -1], 'generators': [81, 84, 64, 282, 160], 'label': '320.1579.4.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '4.p1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.p1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328936
    {'ambient': '320.1579', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.20051', 'aut_weyl_index': 4, 'centralizer': '32.a1', 'complements': ['64.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.c1', '10.d1', '10.e1', '10.f1', '10.g1'], 'core': '5.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9325, 5524, 4994, 8040], 'generators': [1, 2, 4, 200], 'label': '320.1579.5.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '10.b1', '10.c1', '10.d1', '10.e1', '10.f1', '10.g1'], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': '160.229', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 65328937
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 168, 'aut_stab_index': 3, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1', '4.f1', '4.g1'], 'contains': ['16.a1', '16.b1', '16.c1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5300, 2211, 4464, 5184], 'generators': [4, 64, 160, 80], 'label': '320.1579.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1', '4.f1', '4.g1'], 'normal_contains': ['16.a1', '16.b1', '16.c1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '32.46', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328938
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 3, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '4.i1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.g1', '4.m1', '4.n1'], 'contains': ['16.a1', '16.b1', '40.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1906, 796, 8290, 8255], 'generators': [1, 64, 160, 4], 'label': '320.1579.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.g1'], 'normal_contains': ['16.a1', '16.b1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328939
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '8.c1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '4.b1', '4.h1', '4.i1', '4.j1'], 'contains': ['16.c1', '16.d1', '40.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [5974, 3901, 2459, 3115], 'generators': [6, 64, 160, 80], 'label': '320.1579.8.c1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.c1', 'normal_contained_in': ['4.a1', '4.b1', '4.h1', '4.i1', '4.j1'], 'normal_contains': ['16.c1', '40.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65328940
    {'ambient': '320.1579', 'aut_centralizer_order': 48, 'aut_label': '8.d1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '8.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '4.h1', '4.k1'], 'contains': ['16.c1', '16.e1', '40.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6688, 7926, 1317, 2347], 'generators': [47, 64, 160, 80], 'label': '320.1579.8.d1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': ['4.c1', '4.h1', '4.k1'], 'normal_contains': ['16.c1', '40.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65328941
    {'ambient': '320.1579', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '256.27144', 'aut_weyl_index': 6, 'centralizer': '32.a1', 'complements': ['160.b1', '160.c1', '160.d1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.d1', '4.f1', '4.j1', '4.l1', '10.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6826, 5905, 3970, 3779], 'generators': [41, 160, 44, 64, 2, 80], 'label': '320.1579.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.d1', '4.f1', '4.j1', '4.l1', '10.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 65328942
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '96.186', 'aut_weyl_index': 16, 'centralizer': '4.k1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1', '4.o1', '4.p1'], 'contains': ['16.b1', '40.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [2721, 265, 9537, 8701], 'generators': [81, 64, 160, 84], 'label': '320.1579.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.g1'], 'normal_contains': ['16.b1', '40.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328943
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '8.f1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '4.d1', '4.i1', '4.j1', '4.l1'], 'contains': ['16.c1', '16.f1', '40.f1'], 'core': '8.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [6331, 4833, 3104, 3560], 'generators': [206, 64, 160, 80], 'label': '320.1579.8.f1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.f1', 'normal_contained_in': ['4.c1', '4.d1', '4.i1', '4.j1', '4.l1'], 'normal_contains': ['16.c1', '40.f1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65328944
    {'ambient': '320.1579', 'aut_centralizer_order': 48, 'aut_label': '8.g1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '8.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.k1', '4.l1'], 'contains': ['16.c1', '16.g1', '40.g1'], 'core': '8.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [7777, 6900, 995, 1901], 'generators': [167, 64, 160, 80], 'label': '320.1579.8.g1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.g1', 'normal_contained_in': ['4.a1', '4.k1', '4.l1'], 'normal_contains': ['16.c1', '40.g1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65328945
    {'ambient': '320.1579', 'aut_centralizer_order': 96, 'aut_label': '8.h1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '2.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1', '4.i1', '4.k1'], 'contains': ['16.c1', '40.h1'], 'core': '8.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [8814, 7339, 498, 1534], 'generators': [40, 80, 160, 64], 'label': '320.1579.8.h1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.h1', 'normal_contained_in': ['4.e1', '4.i1', '4.k1'], 'normal_contains': ['16.c1', '40.h1'], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65328946
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '8.i1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.e1', '4.f1', '4.h1', '4.j1', '4.l1'], 'contains': ['16.c1', '40.i1'], 'core': '8.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [7483, 8364, 1583, 3928], 'generators': [44, 80, 160, 64], 'label': '320.1579.8.i1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.i1', 'normal_contained_in': ['4.e1', '4.f1', '4.h1', '4.j1', '4.l1'], 'normal_contains': ['16.c1', '40.i1'], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': '32.46', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328947
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '8.o1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '4.m1'], 'contains': ['16.a1', '16.d1', '16.g1', '40.j1'], 'core': '16.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3078, -1, 5795, -1], 'generators': [245, 64, 160, 2], 'label': '320.1579.8.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.j1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328948
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '8.k1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.b1', '4.m1'], 'contains': ['16.a1', '16.d1', '16.h1', '40.k1'], 'core': '16.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [704, -1, 5415, -1], 'generators': [2, 160, 64, 4], 'label': '320.1579.8.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.k1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328949
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '8.q1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '4.n1'], 'contains': ['16.a1', '16.e1', '16.f1', '40.l1'], 'core': '16.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3860, -1, 7365, -1], 'generators': [245, 64, 160, 202], 'label': '320.1579.8.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '8.l1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328950
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '8.m1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.d1', '4.n1'], 'contains': ['16.a1', '16.f1', '40.m1'], 'core': '16.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4251, -1, 7718, -1], 'generators': [202, 64, 160, 4], 'label': '320.1579.8.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '8.m1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328951
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '8.n1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '4.m1', '4.o1'], 'contains': ['16.b1', '16.d1', '16.g1', '40.n1'], 'core': '16.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1515, -1, 6470, -1], 'generators': [165, 64, 160, 2], 'label': '320.1579.8.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.n1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328969
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '4.n1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.f1', '8.l1', '8.m1', '8.p1', '8.q1'], 'contains': ['32.a1', '80.f1'], 'core': '32.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3294, -1, 7892, -1], 'generators': [206, 160, 64], 'label': '320.1579.16.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '16.f1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65328952
    {'ambient': '320.1579', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '256.27144', 'aut_weyl_index': 6, 'centralizer': '32.a1', 'complements': ['160.b1', '160.c1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.f1', '4.h1', '4.j1', '10.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [6253, 6760, 3452, 5301], 'generators': [41, 160, 4, 64, 2, 80], 'label': '320.1579.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.f1', '4.h1', '4.j1', '10.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 65328953
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '8.j1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.b1', '4.m1', '4.o1'], 'contains': ['16.b1', '16.d1', '40.o1'], 'core': '16.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1124, -1, 6823, -1], 'generators': [2, 64, 160, 84], 'label': '320.1579.8.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.o1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328954
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '8.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '8.p1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '4.n1', '4.p1'], 'contains': ['16.b1', '16.e1', '16.f1', '40.p1'], 'core': '16.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3469, -1, 8643, -1], 'generators': [165, 64, 160, 202], 'label': '320.1579.8.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '8.p1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.p1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328955
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '8.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '8.l1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.d1', '4.n1', '4.p1'], 'contains': ['16.b1', '16.f1', '40.q1'], 'core': '16.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2364, -1, 9215, -1], 'generators': [202, 64, 160, 84], 'label': '320.1579.8.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '8.q1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.q1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328956
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 48, 'centralizer': '16.b1', 'complements': ['32.b1', '32.c1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.c1', '20.e1', '20.h1', '20.i1', '20.k1', '20.l1'], 'core': '10.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9806, 7390, 2223, 4878], 'generators': [165, 2, 200], 'label': '320.1579.10.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1', '5.a1'], 'normal_contains': ['20.a1', '20.c1', '20.e1', '20.h1', '20.i1', '20.k1', '20.l1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328957
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '64.226', 'aut_weyl_index': 24, 'centralizer': '32.a1', 'complements': ['32.b1', '32.c1', '32.d1'], 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '20.d1', '20.f1', '20.j1', '20.l1'], 'core': '10.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8200, 6298, 4312, 7028], 'generators': [165, 2, 44], 'label': '320.1579.10.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1', 'normal_contained_in': ['2.b1', '5.a1'], 'normal_contains': ['20.a1', '20.d1', '20.f1', '20.j1', '20.l1'], 'normalizer': '1.a1', 'old_label': '10.b1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 65328958
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '10.c1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '64.226', 'aut_weyl_index': 24, 'centralizer': '32.a1', 'complements': ['32.b1', '32.c1'], 'conjugacy_class_count': 3, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.b1', '20.c1', '20.f1', '20.h1', '20.j1'], 'core': '10.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [7313, 5827, 4027, 8141], 'generators': [201, 2, 4], 'label': '320.1579.10.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.c1', 'normal_contained_in': ['2.c1', '5.a1'], 'normal_contains': ['20.b1', '20.c1', '20.f1', '20.h1', '20.j1'], 'normalizer': '1.a1', 'old_label': '10.c1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 65328959
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '10.d1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '64.264', 'aut_weyl_index': 24, 'centralizer': '16.a1', 'complements': ['32.b1', '32.c1', '32.d1'], 'conjugacy_class_count': 3, 'contained_in': ['2.d1', '5.a1'], 'contains': ['20.b1', '20.d1', '20.e1', '20.i1', '20.j1'], 'core': '10.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [8955, 3846, 3634, 7598], 'generators': [2, 4, 200], 'label': '320.1579.10.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.d1', 'normal_contained_in': ['2.d1', '5.a1'], 'normal_contains': ['20.b1', '20.d1', '20.e1', '20.i1', '20.j1'], 'normalizer': '1.a1', 'old_label': '10.d1', 'projective_image': '160.229', 'quotient_action_image': '1.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '10.d1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328960
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '10.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1472', 'aut_weyl_index': 8, 'centralizer': '32.a1', 'complements': ['32.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1', '5.a1'], 'contains': ['20.a1', '20.b1', '20.g1', '20.m1', '20.o1'], 'core': '10.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [4909, 2012, 6468, 9478], 'generators': [1, 2, 4, 80], 'label': '320.1579.10.e1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.e1', 'normal_contained_in': ['2.e1', '5.a1'], 'normal_contains': ['20.a1', '20.b1', '20.g1'], 'normalizer': '1.a1', 'old_label': '10.e1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.e1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 65328961
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '10.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1472', 'aut_weyl_index': 8, 'centralizer': '32.a1', 'complements': ['32.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.f1', '5.a1'], 'contains': ['20.c1', '20.d1', '20.g1', '20.n1', '20.p1'], 'core': '10.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [5204, 2898, 7908, 9846], 'generators': [1, 202, 4, 80], 'label': '320.1579.10.f1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.f1', 'normal_contained_in': ['2.f1', '5.a1'], 'normal_contains': ['20.c1', '20.d1', '20.g1'], 'normalizer': '1.a1', 'old_label': '10.f1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.f1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 65328962
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '10.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.226', 'aut_weyl_index': 16, 'centralizer': '8.h1', 'complements': ['32.c1', '32.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.g1', '5.a1'], 'contains': ['20.e1', '20.f1', '20.g1'], 'core': '10.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [9514, 6954, 5792, 9081], 'generators': [1, 4, 200], 'label': '320.1579.10.g1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.g1', 'normal_contained_in': ['2.g1', '5.a1'], 'normal_contains': ['20.e1', '20.f1', '20.g1'], 'normalizer': '1.a1', 'old_label': '10.g1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.g1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328963
    {'ambient': '320.1579', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '256.55637', 'aut_weyl_index': 6, 'centralizer': '16.a1', 'complements': ['160.b1', '160.c1', '160.d1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.d1', '4.e1', '4.i1', '4.j1', '10.d1'], 'core': '2.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [7477, 4250, 2939, 4592], 'generators': [2, 160, 40, 64, 4, 80], 'label': '320.1579.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.d1', '4.e1', '4.i1', '4.j1', '10.d1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '32.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328964
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '16.a1', 'aut_quo_index': 8, 'aut_stab_index': 3, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '8.b1', '8.j1', '8.k1', '8.l1', '8.m1'], 'contains': ['32.a1', '32.b1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2531, 1177, 6722, 6547], 'generators': [4, 64, 160], 'label': '320.1579.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['32.a1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65328965
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '16.b1', 'aut_quo_index': 16, 'aut_stab_index': 3, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '8.b1', '8.e1', '8.n1', '8.o1', '8.p1', '8.q1'], 'contains': ['32.a1', '80.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [2005, 342, 8269, 7549], 'generators': [84, 160, 64], 'label': '320.1579.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.b1', '8.e1'], 'normal_contains': ['32.a1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65328966
    {'ambient': '320.1579', 'aut_centralizer_order': 192, 'aut_label': '16.c1', 'aut_quo_index': 3360, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '2.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.c1', '8.d1', '8.f1', '8.g1', '8.h1', '8.i1'], 'contains': ['32.a1', '80.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6259, 4647, 2424, 3560], 'generators': [80, 160, 64], 'label': '320.1579.16.c1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.c1', 'normal_contained_in': ['8.a1', '8.c1', '8.d1', '8.f1', '8.g1', '8.h1', '8.i1'], 'normal_contains': ['32.a1', '80.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65328967
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '4.m1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.c1', '8.j1', '8.k1', '8.n1', '8.o1'], 'contains': ['32.a1', '32.c1', '80.d1'], 'core': '32.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1212, -1, 5846, -1], 'generators': [6, 64, 160], 'label': '320.1579.16.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.d1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65328968
    {'ambient': '320.1579', 'aut_centralizer_order': 96, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '4.p1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '8.l1', '8.p1'], 'contains': ['32.a1', '32.d1', '80.e1'], 'core': '32.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3622, -1, 7106, -1], 'generators': [47, 64, 160], 'label': '320.1579.16.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '16.e1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65328972
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '20.a1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '16.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '10.a1', '10.b1', '10.e1'], 'contains': ['40.a1', '40.c1', '40.g1', '40.j1', '40.n1'], 'core': '20.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5441, 4227, 3841, 5600], 'generators': [165, 2, 80], 'label': '320.1579.20.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1', '10.b1', '10.e1'], 'normal_contains': ['40.a1', '40.c1', '40.g1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328973
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '20.b1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '32.49', 'aut_weyl_index': 48, 'centralizer': '16.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.b1', '10.c1', '10.d1', '10.e1'], 'contains': ['40.a1', '40.c1', '40.k1', '40.o1'], 'core': '20.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5141, 2331, 4111, 7809], 'generators': [2, 4, 80], 'label': '320.1579.20.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.b1', 'normal_contained_in': ['4.b1', '10.c1', '10.d1', '10.e1'], 'normal_contains': ['40.a1', '40.c1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328974
    {'ambient': '320.1579', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.1088688', 'aut_weyl_index': 2, 'centralizer': '32.a1', 'complements': ['160.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.g1', '4.m1', '4.o1', '10.e1'], 'core': '2.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [4096, 2024, 6468, 6739], 'generators': [1, 160, 4, 80, 2, 64], 'label': '320.1579.2.e1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.g1', '10.e1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 65328975
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '20.c1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '16.b1', 'complements': ['16.h1'], 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '10.a1', '10.c1', '10.f1'], 'contains': ['40.a1', '40.d1', '40.f1', '40.l1', '40.p1'], 'core': '20.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [5680, 5039, 4766, 6661], 'generators': [165, 202, 80], 'label': '320.1579.20.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.c1', 'normal_contained_in': ['4.c1', '10.a1', '10.c1', '10.f1'], 'normal_contains': ['40.a1', '40.d1', '40.f1'], 'normalizer': '1.a1', 'old_label': '20.c1', 'projective_image': '160.229', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328976
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '20.d1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '32.49', 'aut_weyl_index': 48, 'centralizer': '16.a1', 'complements': ['16.h1'], 'conjugacy_class_count': 3, 'contained_in': ['4.d1', '10.b1', '10.d1', '10.f1'], 'contains': ['40.a1', '40.f1', '40.m1', '40.q1'], 'core': '20.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [5980, 3065, 5036, 7035], 'generators': [202, 4, 80], 'label': '320.1579.20.d1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.d1', 'normal_contained_in': ['4.d1', '10.b1', '10.d1', '10.f1'], 'normal_contains': ['40.a1', '40.f1'], 'normalizer': '1.a1', 'old_label': '20.d1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328977
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '20.e1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 192, 'centralizer': '4.e1', 'complements': ['16.h1'], 'conjugacy_class_count': 3, 'contained_in': ['4.e1', '10.a1', '10.d1', '10.g1'], 'contains': ['40.a1', '40.h1', '40.i1'], 'core': '20.e1', 'coset_action_label': None, 'count': 3, 'diagramx': [9507, 6538, 2781, 6290], 'generators': [4, 200], 'label': '320.1579.20.e1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.e1', 'normal_contained_in': ['4.e1', '10.a1', '10.d1', '10.g1'], 'normal_contains': ['40.a1', '40.h1', '40.i1'], 'normalizer': '1.a1', 'old_label': '20.e1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328978
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '20.f1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '8.h1', 'complements': ['16.h1'], 'conjugacy_class_count': 3, 'contained_in': ['4.f1', '10.b1', '10.c1', '10.g1'], 'contains': ['40.a1', '40.i1'], 'core': '20.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [8048, 6997, 3615, 7422], 'generators': [201, 4], 'label': '320.1579.20.f1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.f1', 'normal_contained_in': ['4.f1', '10.b1', '10.c1', '10.g1'], 'normal_contains': ['40.a1', '40.i1'], 'normalizer': '1.a1', 'old_label': '20.f1', 'projective_image': '160.229', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328979
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '20.g1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 32, 'centralizer': '8.h1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1', '10.e1', '10.f1', '10.g1'], 'contains': ['40.a1', '40.b1', '40.e1'], 'core': '20.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [4823, 1523, 8019, 9075], 'generators': [1, 4, 80], 'label': '320.1579.20.g1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.g1', 'normal_contained_in': ['4.g1', '10.e1', '10.f1', '10.g1'], 'normal_contains': ['40.a1', '40.b1', '40.e1'], 'normalizer': '1.a1', 'old_label': '20.g1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328980
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '20.h1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '16.b1', 'complements': ['16.h1'], 'conjugacy_class_count': 3, 'contained_in': ['4.h1', '10.a1', '10.c1'], 'contains': ['40.c1', '40.d1', '40.i1'], 'core': '20.h1', 'coset_action_label': None, 'count': 3, 'diagramx': [7214, 8516, 1771, 4800], 'generators': [45, 2], 'label': '320.1579.20.h1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.h1', 'normal_contained_in': ['4.h1', '10.a1', '10.c1'], 'normal_contains': ['40.c1', '40.d1', '40.i1'], 'normalizer': '1.a1', 'old_label': '20.h1', 'projective_image': '160.229', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.h1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328981
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '20.i1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '8.b1', 'complements': ['16.h1'], 'conjugacy_class_count': 3, 'contained_in': ['4.i1', '10.a1', '10.d1'], 'contains': ['40.c1', '40.f1', '40.h1'], 'core': '20.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [9004, 4597, 1972, 4231], 'generators': [6, 200], 'label': '320.1579.20.i1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.i1', 'normal_contained_in': ['4.i1', '10.a1', '10.d1'], 'normal_contains': ['40.c1', '40.f1', '40.h1'], 'normalizer': '1.a1', 'old_label': '20.i1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.i1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65328982
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '20.j1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '16.a1', 'complements': ['16.h1'], 'conjugacy_class_count': 6, 'contained_in': ['4.j1', '10.b1', '10.c1', '10.d1'], 'contains': ['40.c1', '40.f1', '40.i1'], 'core': '20.j1', 'coset_action_label': None, 'count': 6, 'diagramx': [7436, 5925, 3382, 5909], 'generators': [2, 204], 'label': '320.1579.20.j1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.j1', 'normal_contained_in': ['4.j1', '10.b1', '10.c1', '10.d1'], 'normal_contains': ['40.c1', '40.f1', '40.i1'], 'normalizer': '1.a1', 'old_label': '20.j1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.j1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328983
    {'ambient': '320.1579', 'aut_centralizer_order': 96, 'aut_label': '20.k1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '8.e1', 'complements': ['16.h1'], 'conjugacy_class_count': 1, 'contained_in': ['4.k1', '10.a1'], 'contains': ['40.d1', '40.g1', '40.h1'], 'core': '20.k1', 'coset_action_label': None, 'count': 1, 'diagramx': [9811, 7529, 717, 2731], 'generators': [167, 200], 'label': '320.1579.20.k1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.k1', 'normal_contained_in': ['4.k1', '10.a1'], 'normal_contains': ['40.d1', '40.g1', '40.h1'], 'normalizer': '1.a1', 'old_label': '20.k1', 'projective_image': '160.229', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.k1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65328984
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '20.l1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '16.b1', 'complements': ['16.h1'], 'conjugacy_class_count': 3, 'contained_in': ['4.l1', '10.a1', '10.b1'], 'contains': ['40.f1', '40.g1', '40.i1'], 'core': '20.l1', 'coset_action_label': None, 'count': 3, 'diagramx': [8668, 8201, 2193, 4536], 'generators': [45, 202], 'label': '320.1579.20.l1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.l1', 'normal_contained_in': ['4.l1', '10.a1', '10.b1'], 'normal_contains': ['40.f1', '40.g1', '40.i1'], 'normalizer': '1.a1', 'old_label': '20.l1', 'projective_image': '160.229', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.l1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65328985
    {'ambient': '320.1579', 'aut_centralizer_order': 2, 'aut_label': '2.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.1088688', 'aut_weyl_index': 2, 'centralizer': '32.a1', 'complements': ['160.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.d1', '4.g1', '4.n1', '4.p1', '10.f1'], 'core': '2.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [4586, 2754, 7579, 7350], 'generators': [1, 160, 4, 80, 202, 64], 'label': '320.1579.2.f1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.d1', '4.g1', '10.f1'], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.f1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 65328986
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '20.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '16.d1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.m1', '10.e1'], 'contains': ['40.b1', '40.j1', '40.k1', '40.n1', '40.o1'], 'core': '40.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1304, -1, 6117, -1], 'generators': [1, 2, 4], 'label': '320.1579.20.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '20.m1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.m1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328987
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '20.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '16.f1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.n1', '10.f1'], 'contains': ['40.b1', '40.l1', '40.m1', '40.p1', '40.q1'], 'core': '40.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [4002, -1, 8944, -1], 'generators': [1, 202, 4], 'label': '320.1579.20.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '20.n1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.n1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328988
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '20.o1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '48.48', 'aut_weyl_index': 32, 'centralizer': '16.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1', '10.e1'], 'contains': ['40.e1', '40.n1', '40.o1'], 'core': '40.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [1702, -1, 7094, -1], 'generators': [81, 2, 84], 'label': '320.1579.20.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '20.o1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.o1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328989
    {'ambient': '320.1579', 'aut_centralizer_order': 16, 'aut_label': '20.p1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '48.48', 'aut_weyl_index': 32, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.p1', '10.f1'], 'contains': ['40.e1', '40.p1', '40.q1'], 'core': '40.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [4424, -1, 9860, -1], 'generators': [81, 202, 84], 'label': '320.1579.20.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '20.p1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.p1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328990
    {'ambient': '320.1579', 'aut_centralizer_order': 384, 'aut_label': '32.a1', 'aut_quo_index': 128, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 384, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1', '16.f1', '16.g1'], 'contains': ['64.a1', '160.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2549, 221, 6698, 6602], 'generators': [160, 64], 'label': '320.1579.32.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1'], 'normal_contains': ['64.a1', '160.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '32.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.46', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65328991
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 384, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.a1', '16.h1'], 'contains': ['64.a1', '160.b1'], 'core': '64.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [418, -1, 6298, -1], 'generators': [4, 64], 'label': '320.1579.32.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.b1', 'projective_image': '64.258', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65328992
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.1', 'aut_weyl_index': 384, 'centralizer': '4.m1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.d1', '16.h1'], 'contains': ['64.a1', '160.c1'], 'core': '64.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [189, -1, 5477, -1], 'generators': [6, 64], 'label': '320.1579.32.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1', 'old_label': '32.c1', 'projective_image': '64.258', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65328993
    {'ambient': '320.1579', 'aut_centralizer_order': 96, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 384, 'centralizer': '4.p1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1'], 'contains': ['64.a1', '160.d1'], 'core': '64.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2778, -1, 6906, -1], 'generators': [47, 64], 'label': '320.1579.32.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.p1', 'old_label': '32.d1', 'projective_image': '64.258', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65328994
    {'ambient': '320.1579', 'aut_centralizer_order': 128, 'aut_label': '40.a1', 'aut_quo_index': 168, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '20.a1', '20.b1', '20.c1', '20.d1', '20.e1', '20.f1', '20.g1'], 'contains': ['80.a1', '80.b1', '80.c1'], 'core': '40.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5417, 2436, 4464, 7035], 'generators': [4, 80], 'label': '320.1579.40.a1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1', '20.b1', '20.c1', '20.d1', '20.e1', '20.f1', '20.g1'], 'normal_contains': ['80.a1', '80.b1', '80.c1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '160.229', 'quotient_action_image': '4.2', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328995
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '40.b1', 'aut_quo_index': 2, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '4.i1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.b1', '20.g1', '20.m1', '20.n1'], 'contains': ['80.a1', '80.b1'], 'core': '40.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [2494, 1014, 8080, 7959], 'generators': [1, 4], 'label': '320.1579.40.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': ['8.b1', '20.g1'], 'normal_contains': ['80.a1', '80.b1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65328996
    {'ambient': '320.1579', 'aut_centralizer_order': 4, 'aut_label': '2.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.20048', 'aut_weyl_index': 4, 'centralizer': '8.h1', 'complements': ['160.c1', '160.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.e1', '4.f1', '4.g1', '10.g1'], 'core': '2.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [8131, 7618, 4563, 6020], 'generators': [1, 160, 40, 64, 4, 80], 'label': '320.1579.2.g1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.g1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.e1', '4.f1', '4.g1', '10.g1'], 'normalizer': '1.a1', 'old_label': '2.g1', 'projective_image': '32.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.g1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 65328997
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '40.c1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.c1', '20.a1', '20.b1', '20.h1', '20.i1', '20.j1'], 'contains': ['80.c1', '80.d1'], 'core': '40.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [6259, 4448, 3017, 4969], 'generators': [6, 80], 'label': '320.1579.40.c1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.c1', 'normal_contained_in': ['8.c1', '20.a1', '20.b1', '20.h1', '20.i1', '20.j1'], 'normal_contains': ['80.c1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65328998
    {'ambient': '320.1579', 'aut_centralizer_order': 192, 'aut_label': '40.d1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '8.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '20.c1', '20.h1', '20.k1'], 'contains': ['80.c1', '80.e1'], 'core': '40.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7050, 7576, 2612, 4735], 'generators': [47, 80], 'label': '320.1579.40.d1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.d1', 'normal_contained_in': ['8.d1', '20.c1', '20.h1', '20.k1'], 'normal_contains': ['80.c1'], 'normalizer': '1.a1', 'old_label': '40.d1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65328999
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '40.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 64, 'centralizer': '4.k1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1', '20.g1', '20.o1', '20.p1'], 'contains': ['80.b1'], 'core': '40.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [2744, 734, 8947, 8701], 'generators': [81, 84], 'label': '320.1579.40.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.e1', 'normal_contained_in': ['8.e1', '20.g1'], 'normal_contains': ['80.b1'], 'normalizer': '1.a1', 'old_label': '40.e1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65329000
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '40.f1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.f1', '20.c1', '20.d1', '20.i1', '20.j1', '20.l1'], 'contains': ['80.c1', '80.f1'], 'core': '40.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [6569, 5482, 3316, 5203], 'generators': [206, 80], 'label': '320.1579.40.f1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.f1', 'normal_contained_in': ['8.f1', '20.c1', '20.d1', '20.i1', '20.j1', '20.l1'], 'normal_contains': ['80.c1'], 'normalizer': '1.a1', 'old_label': '40.f1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65329001
    {'ambient': '320.1579', 'aut_centralizer_order': 192, 'aut_label': '40.g1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '8.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.g1', '20.a1', '20.k1', '20.l1'], 'contains': ['80.c1', '80.g1'], 'core': '40.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [8196, 7296, 2214, 4501], 'generators': [167, 80], 'label': '320.1579.40.g1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.g1', 'normal_contained_in': ['8.g1', '20.a1', '20.k1', '20.l1'], 'normal_contains': ['80.c1'], 'normalizer': '1.a1', 'old_label': '40.g1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.g1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 65329002
    {'ambient': '320.1579', 'aut_centralizer_order': 384, 'aut_label': '40.h1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '2.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.h1', '20.e1', '20.i1', '20.k1'], 'contains': ['80.c1'], 'core': '40.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [9280, 6838, 1972, 4231], 'generators': [200], 'label': '320.1579.40.h1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.h1', 'normal_contained_in': ['8.h1', '20.e1', '20.i1', '20.k1'], 'normal_contains': ['80.c1'], 'normalizer': '1.a1', 'old_label': '40.h1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65329003
    {'ambient': '320.1579', 'aut_centralizer_order': 128, 'aut_label': '40.i1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.i1', '20.e1', '20.f1', '20.h1', '20.j1', '20.l1'], 'contains': ['80.c1'], 'core': '40.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [7694, 8248, 2781, 5438], 'generators': [204], 'label': '320.1579.40.i1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.i1', 'normal_contained_in': ['8.i1', '20.e1', '20.f1', '20.h1', '20.j1', '20.l1'], 'normal_contains': ['80.c1'], 'normalizer': '1.a1', 'old_label': '40.i1', 'projective_image': '160.229', 'quotient_action_image': '4.2', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '40.i1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65329004
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '40.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '8.o1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.j1', '20.a1', '20.m1'], 'contains': ['80.a1', '80.d1', '80.g1'], 'core': '80.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1207, -1, 5361, -1], 'generators': [245, 2], 'label': '320.1579.40.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '40.j1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65329005
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '40.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '8.k1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.k1', '20.b1', '20.m1'], 'contains': ['80.a1', '80.d1', '80.h1'], 'core': '80.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [809, -1, 5180, -1], 'generators': [2, 4, 160], 'label': '320.1579.40.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '40.k1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.k1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65329006
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '40.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '8.q1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.l1', '20.c1', '20.n1'], 'contains': ['80.a1', '80.e1', '80.f1'], 'core': '80.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3836, -1, 7383, -1], 'generators': [245, 202], 'label': '320.1579.40.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '40.l1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65329007
    {'ambient': '320.1579', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '16.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.b1', '2.e1'], 'contains': ['8.a1', '8.c1', '8.g1', '8.j1', '8.n1', '20.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5170, 3497, 4660, 2663], 'generators': [165, 80, 64, 2, 160], 'label': '320.1579.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.e1'], 'normal_contains': ['8.a1', '8.c1', '8.g1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '32.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 65329008
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '40.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '8.m1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.m1', '20.d1', '20.n1'], 'contains': ['80.a1', '80.f1'], 'core': '80.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3565, -1, 7628, -1], 'generators': [202, 4], 'label': '320.1579.40.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '40.m1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.m1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65329009
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '40.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '8.n1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.n1', '20.a1', '20.m1', '20.o1'], 'contains': ['80.b1', '80.d1', '80.g1'], 'core': '80.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1666, -1, 6199, -1], 'generators': [165, 2], 'label': '320.1579.40.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '40.n1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.n1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65329010
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '40.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '8.j1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.o1', '20.b1', '20.m1', '20.o1'], 'contains': ['80.b1', '80.d1'], 'core': '80.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1394, -1, 6444, -1], 'generators': [2, 84], 'label': '320.1579.40.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '40.o1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65329011
    {'ambient': '320.1579', 'aut_centralizer_order': 64, 'aut_label': '40.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '8.p1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.p1', '20.c1', '20.n1', '20.p1'], 'contains': ['80.b1', '80.e1', '80.f1'], 'core': '80.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [4328, -1, 8532, -1], 'generators': [165, 202], 'label': '320.1579.40.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '40.p1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.p1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65329012
    {'ambient': '320.1579', 'aut_centralizer_order': 32, 'aut_label': '40.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '8.l1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.q1', '20.d1', '20.n1', '20.p1'], 'contains': ['80.b1', '80.f1'], 'core': '80.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [4031, -1, 8777, -1], 'generators': [202, 84], 'label': '320.1579.40.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '40.q1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.q1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 65329013
    {'ambient': '320.1579', 'aut_centralizer_order': 384, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 384, 'centralizer': '1.a1', 'complements': ['5.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1'], 'contains': ['320.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1348, 105, 6468, 6602], 'generators': [64], 'label': '320.1579.64.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1'], 'normal_contains': ['320.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '64.258', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.258', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65329014
    {'ambient': '320.1579', 'aut_centralizer_order': 256, 'aut_label': '80.a1', 'aut_quo_index': 8, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.a1', '40.a1', '40.b1', '40.j1', '40.k1', '40.l1', '40.m1'], 'contains': ['160.a1', '160.b1'], 'core': '80.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1994, 1154, 6498, 6983], 'generators': [4, 160], 'label': '320.1579.80.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1'], 'normal_contains': ['160.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.10', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65329015
    {'ambient': '320.1579', 'aut_centralizer_order': 256, 'aut_label': '80.b1', 'aut_quo_index': 16, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.b1', '40.a1', '40.b1', '40.e1', '40.n1', '40.o1', '40.p1', '40.q1'], 'contains': ['160.a1'], 'core': '80.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [2645, 808, 8080, 7549], 'generators': [84], 'label': '320.1579.80.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.b1', 'normal_contained_in': ['16.b1', '40.a1', '40.b1', '40.e1'], 'normal_contains': ['160.a1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.10', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65329016
    {'ambient': '320.1579', 'aut_centralizer_order': 768, 'aut_label': '80.c1', 'aut_quo_index': 3360, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '2.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '40.a1', '40.c1', '40.d1', '40.f1', '40.g1', '40.h1', '40.i1'], 'contains': ['160.a1'], 'core': '80.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6803, 6838, 2781, 4969], 'generators': [80], 'label': '320.1579.80.c1', 'mobius_quo': 0, 'mobius_sub': -64, 'normal_closure': '80.c1', 'normal_contained_in': ['16.c1', '40.a1', '40.c1', '40.d1', '40.f1', '40.g1', '40.h1', '40.i1'], 'normal_contains': ['160.a1'], 'normalizer': '1.a1', 'old_label': '80.c1', 'projective_image': '160.229', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.14', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65329017
    {'ambient': '320.1579', 'aut_centralizer_order': 128, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '4.m1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.d1', '40.c1', '40.j1', '40.k1', '40.n1', '40.o1'], 'contains': ['160.a1', '160.c1'], 'core': '160.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [947, -1, 5846, -1], 'generators': [6, 160], 'label': '320.1579.80.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '80.d1', 'projective_image': '160.229', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}