Abstract group data - 1440.3398

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '40.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [6, 24, 6, 6, 24, 12, 4], 'aut_gens': [[1, 2, 12], [1089, 1322, 1092], [786, 69, 1408], [546, 1025, 476], [5, 1210, 372], [1026, 781, 400], [1386, 425, 472], [1266, 781, 44]], 'aut_group': None, 'aut_hash': 7047191688454449486, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 9216, 'aut_permdeg': 32, 'aut_perms': [37374757259418106542915772616655614, 54960709794644725664059169232212232, 77855397998093995797976871903302698, 199260128159523008574628039311054278, 193304368248919484402206168364361811, 23590047996388886904304534268870917, 184736766966437360933321836673688500], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 12, 2, 1], [2, 18, 1, 1], [3, 2, 2, 1], [3, 4, 1, 1], [4, 2, 1, 1], [4, 9, 2, 1], [4, 12, 2, 1], [5, 1, 4, 1], [6, 2, 2, 1], [6, 4, 1, 1], [6, 24, 2, 1], [8, 2, 2, 1], [8, 18, 2, 1], [10, 1, 4, 1], [10, 12, 8, 1], [10, 18, 4, 1], [12, 4, 2, 2], [12, 24, 2, 1], [15, 2, 8, 1], [15, 4, 4, 1], [20, 2, 4, 1], [20, 9, 8, 1], [20, 12, 8, 1], [24, 4, 4, 2], [30, 2, 8, 1], [30, 4, 4, 1], [30, 24, 8, 1], [40, 2, 8, 1], [40, 18, 8, 1], [60, 4, 8, 2], [60, 24, 8, 1], [120, 4, 16, 2]], 'aut_supersolvable': False, 'aut_tex': '(C_4^2\\times C_3:S_3).C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '32.45', 'autcent_hash': 45, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '288.889', 'autcentquo_hash': 889, 'autcentquo_nilpotent': False, 'autcentquo_order': 288, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'D_6\\wr C_2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 12, 2], [2, 18, 1], [3, 2, 2], [3, 4, 1], [4, 2, 1], [4, 9, 2], [4, 12, 2], [5, 1, 4], [6, 2, 2], [6, 4, 1], [6, 24, 2], [8, 2, 2], [8, 18, 2], [10, 1, 4], [10, 12, 8], [10, 18, 4], [12, 4, 4], [12, 24, 2], [15, 2, 8], [15, 4, 4], [20, 2, 4], [20, 9, 8], [20, 12, 8], [24, 4, 8], [30, 2, 8], [30, 4, 4], [30, 24, 8], [40, 2, 8], [40, 18, 8], [60, 4, 16], [60, 24, 8], [120, 4, 32]], 'center_label': '10.2', 'center_order': 10, 'central_product': True, 'central_quotient': '144.145', 'commutator_count': 1, 'commutator_label': '36.8', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3398, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['288.457', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 12, 1, 2], [2, 18, 1, 1], [3, 2, 1, 2], [3, 4, 1, 1], [4, 2, 1, 1], [4, 9, 2, 1], [4, 12, 1, 2], [5, 1, 4, 1], [6, 2, 1, 2], [6, 4, 1, 1], [6, 24, 1, 2], [8, 2, 2, 1], [8, 18, 2, 1], [10, 1, 4, 1], [10, 12, 4, 2], [10, 18, 4, 1], [12, 4, 1, 2], [12, 4, 2, 1], [12, 24, 1, 2], [15, 2, 4, 2], [15, 4, 4, 1], [20, 2, 4, 1], [20, 9, 8, 1], [20, 12, 4, 2], [24, 4, 2, 2], [24, 4, 4, 1], [30, 2, 4, 2], [30, 4, 4, 1], [30, 24, 4, 2], [40, 2, 8, 1], [40, 18, 8, 1], [60, 4, 4, 2], [60, 4, 8, 1], [60, 24, 4, 2], [120, 4, 8, 2], [120, 4, 16, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 83328, 'exponent': 120, 'exponents_of_order': [5, 2, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[4, 0, 16]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '360.153', 'hash': 3398, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 6, 12], 'inner_gens': [[1, 10, 1092], [725, 2, 132], [361, 1322, 12]], 'inner_hash': 145, 'inner_nilpotent': False, 'inner_order': 144, 'inner_split': False, 'inner_tex': 'C_{12}:D_6', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 64, 'irrQ_dim': 64, 'irrR_degree': 8, 'irrep_stats': [[1, 40], [2, 70], [4, 70]], 'label': '1440.3398', 'linC_count': 16, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 64, 'linQ_dim': 16, 'linQ_dim_count': 144, 'linR_count': 152, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C120.D6', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 38, 'number_characteristic_subgroups': 32, 'number_conjugacy_classes': 180, 'number_divisions': 54, 'number_normal_subgroups': 76, 'number_subgroup_autclasses': 170, 'number_subgroup_classes': 270, 'number_subgroups': 1124, 'old_label': None, 'order': 1440, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 43], [3, 8], [4, 44], [5, 4], [6, 56], [8, 40], [10, 172], [12, 64], [15, 32], [20, 176], [24, 32], [30, 224], [40, 160], [60, 256], [120, 128]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 4], 'outer_gen_pows': [108, 0, 0, 0, 0], 'outer_gens': [[186, 1381, 980], [721, 10, 12], [1, 722, 12], [1, 2, 1212], [1, 2, 1356]], 'outer_group': '64.260', 'outer_hash': 260, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 12, 'outer_perms': [120, 39916800, 362880, 5040, 9], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4\\times C_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 27, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 10], [4, 12], [8, 14], [16, 5], [32, 4], [64, 1]], 'representations': {'PC': {'code': 2064178787203132405360448163245125668730919583640450892807, 'gens': [1, 2, 4], 'pres': [8, -2, -2, -3, -2, -2, -2, -3, -5, 161, 41, 17474, 4338, 34947, 2123, 91, 29764, 5292, 116, 12685, 141, 29582, 222]}, 'Perm': {'d': 27, 'gens': [405935366914083612327322320, 886829022618529001165239680, 1307371758981965037833472000, 33, 1648147148814358665817344000, 2130263511230305953958579200, 3991680, 5760]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 10], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{120}.D_6', 'transitive_degree': 240, '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: 118363481
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 3398, 'group_order': 1440, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 118363573
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 3398, 'group_order': 1440, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 720, 'size': 1}
  • id: 118363584
    {'aut_label': '2B', 'centralizer': '12.e1.a1', 'counter': 3, 'group_counter': 3398, 'group_order': 1440, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 1026, 'size': 12}
  • id: 118363595
    {'aut_label': '2B', 'centralizer': '12.e1.b1', 'counter': 4, 'group_counter': 3398, 'group_order': 1440, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 1, 'size': 12}
  • id: 118363606
    {'aut_label': '2D', 'centralizer': '18.d1.a1', 'counter': 5, 'group_counter': 3398, 'group_order': 1440, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 603, 'size': 18}
  • id: 118363617
    {'aut_label': '3A', 'centralizer': '2.b1.a1', 'counter': 6, 'group_counter': 3398, 'group_order': 1440, 'label': '3A', 'order': 3, 'powers': [6, 1, 6], 'representative': 8, 'size': 2}
  • id: 118363628
    {'aut_label': '3A', 'centralizer': '2.b1.b1', 'counter': 7, 'group_counter': 3398, 'group_order': 1440, 'label': '3B', 'order': 3, 'powers': [7, 1, 7], 'representative': 960, 'size': 2}
  • id: 118363639
    {'aut_label': '3C', 'centralizer': '4.d1.a1', 'counter': 8, 'group_counter': 3398, 'group_order': 1440, 'label': '3C', 'order': 3, 'powers': [8, 1, 8], 'representative': 1204, 'size': 4}
  • id: 118363650
    {'aut_label': '4A', 'centralizer': '2.d1.a1', 'counter': 9, 'group_counter': 3398, 'group_order': 1440, 'label': '4A', 'order': 4, 'powers': [2, 9, 9], 'representative': 360, 'size': 2}
  • id: 118363482
    {'aut_label': '4B1', 'centralizer': '9.a1.a1', 'counter': 10, 'group_counter': 3398, 'group_order': 1440, 'label': '4B1', 'order': 4, 'powers': [2, 11, 10], 'representative': 3, 'size': 9}
  • id: 118363493
    {'aut_label': '4B1', 'centralizer': '9.a1.a1', 'counter': 11, 'group_counter': 3398, 'group_order': 1440, 'label': '4B-1', 'order': 4, 'powers': [2, 10, 11], 'representative': 723, 'size': 9}
  • id: 118363504
    {'aut_label': '4C', 'centralizer': '12.h1.b1', 'counter': 12, 'group_counter': 3398, 'group_order': 1440, 'label': '4C', 'order': 4, 'powers': [2, 12, 12], 'representative': 6, 'size': 12}
  • id: 118363515
    {'aut_label': '4C', 'centralizer': '12.h1.a1', 'counter': 13, 'group_counter': 3398, 'group_order': 1440, 'label': '4D', 'order': 4, 'powers': [2, 13, 13], 'representative': 541, 'size': 12}
  • id: 118363526
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 3398, 'group_order': 1440, 'label': '5A1', 'order': 5, 'powers': [16, 17, 1], 'representative': 288, 'size': 1}
  • id: 118363537
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 3398, 'group_order': 1440, 'label': '5A-1', 'order': 5, 'powers': [17, 16, 1], 'representative': 1152, 'size': 1}
  • id: 118363548
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 3398, 'group_order': 1440, 'label': '5A2', 'order': 5, 'powers': [15, 14, 1], 'representative': 576, 'size': 1}
  • id: 118363559
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 3398, 'group_order': 1440, 'label': '5A-2', 'order': 5, 'powers': [14, 15, 1], 'representative': 864, 'size': 1}
  • id: 118363570
    {'aut_label': '6A', 'centralizer': '2.b1.a1', 'counter': 18, 'group_counter': 3398, 'group_order': 1440, 'label': '6A', 'order': 6, 'powers': [6, 2, 18], 'representative': 728, 'size': 2}
  • id: 118363572
    {'aut_label': '6A', 'centralizer': '2.b1.b1', 'counter': 19, 'group_counter': 3398, 'group_order': 1440, 'label': '6B', 'order': 6, 'powers': [7, 2, 19], 'representative': 1200, 'size': 2}
  • id: 118363574
    {'aut_label': '6C', 'centralizer': '4.d1.a1', 'counter': 20, 'group_counter': 3398, 'group_order': 1440, 'label': '6C', 'order': 6, 'powers': [8, 2, 20], 'representative': 248, 'size': 4}
  • id: 118363575
    {'aut_label': '6D', 'centralizer': '24.b1.a1', 'counter': 21, 'group_counter': 3398, 'group_order': 1440, 'label': '6D', 'order': 6, 'powers': [6, 3, 21], 'representative': 310, 'size': 24}
  • id: 118363576
    {'aut_label': '6D', 'centralizer': '24.b1.b1', 'counter': 22, 'group_counter': 3398, 'group_order': 1440, 'label': '6E', 'order': 6, 'powers': [7, 4, 22], 'representative': 481, 'size': 24}
  • id: 118363577
    {'aut_label': '8A1', 'centralizer': '2.d1.a1', 'counter': 23, 'group_counter': 3398, 'group_order': 1440, 'label': '8A1', 'order': 8, 'powers': [9, 23, 24], 'representative': 180, 'size': 2}
  • id: 118363578
    {'aut_label': '8A1', 'centralizer': '2.d1.a1', 'counter': 24, 'group_counter': 3398, 'group_order': 1440, 'label': '8A-1', 'order': 8, 'powers': [9, 24, 23], 'representative': 1260, 'size': 2}
  • id: 118363579
    {'aut_label': '8B1', 'centralizer': '18.d1.a1', 'counter': 25, 'group_counter': 3398, 'group_order': 1440, 'label': '8B1', 'order': 8, 'powers': [9, 26, 26], 'representative': 1023, 'size': 18}
  • id: 118363580
    {'aut_label': '8B1', 'centralizer': '18.d1.a1', 'counter': 26, 'group_counter': 3398, 'group_order': 1440, 'label': '8B3', 'order': 8, 'powers': [9, 25, 25], 'representative': 1383, 'size': 18}
  • id: 118363581
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 3398, 'group_order': 1440, 'label': '10A1', 'order': 10, 'powers': [15, 29, 2], 'representative': 1296, 'size': 1}
  • id: 118363582
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 3398, 'group_order': 1440, 'label': '10A-1', 'order': 10, 'powers': [14, 30, 2], 'representative': 144, 'size': 1}
  • id: 118363583
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 3398, 'group_order': 1440, 'label': '10A3', 'order': 10, 'powers': [16, 28, 2], 'representative': 1008, 'size': 1}
  • id: 118363585
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 3398, 'group_order': 1440, 'label': '10A-3', 'order': 10, 'powers': [17, 27, 2], 'representative': 432, 'size': 1}
  • id: 118363586
    {'aut_label': '10B1', 'centralizer': '12.e1.a1', 'counter': 31, 'group_counter': 3398, 'group_order': 1440, 'label': '10B1', 'order': 10, 'powers': [15, 33, 3], 'representative': 162, 'size': 12}
  • id: 118363587
    {'aut_label': '10B1', 'centralizer': '12.e1.a1', 'counter': 32, 'group_counter': 3398, 'group_order': 1440, 'label': '10B-1', 'order': 10, 'powers': [14, 34, 3], 'representative': 450, 'size': 12}
  • id: 118363588
    {'aut_label': '10B1', 'centralizer': '12.e1.a1', 'counter': 33, 'group_counter': 3398, 'group_order': 1440, 'label': '10B3', 'order': 10, 'powers': [16, 32, 3], 'representative': 1314, 'size': 12}
  • id: 118363589
    {'aut_label': '10B1', 'centralizer': '12.e1.a1', 'counter': 34, 'group_counter': 3398, 'group_order': 1440, 'label': '10B-3', 'order': 10, 'powers': [17, 31, 3], 'representative': 738, 'size': 12}
  • id: 118363590
    {'aut_label': '10B1', 'centralizer': '12.e1.b1', 'counter': 35, 'group_counter': 3398, 'group_order': 1440, 'label': '10C1', 'order': 10, 'powers': [16, 37, 4], 'representative': 289, 'size': 12}
  • id: 118363591
    {'aut_label': '10B1', 'centralizer': '12.e1.b1', 'counter': 36, 'group_counter': 3398, 'group_order': 1440, 'label': '10C-1', 'order': 10, 'powers': [17, 38, 4], 'representative': 1153, 'size': 12}
  • id: 118363592
    {'aut_label': '10B1', 'centralizer': '12.e1.b1', 'counter': 37, 'group_counter': 3398, 'group_order': 1440, 'label': '10C3', 'order': 10, 'powers': [14, 36, 4], 'representative': 865, 'size': 12}
  • id: 118363593
    {'aut_label': '10B1', 'centralizer': '12.e1.b1', 'counter': 38, 'group_counter': 3398, 'group_order': 1440, 'label': '10C-3', 'order': 10, 'powers': [15, 35, 4], 'representative': 577, 'size': 12}
  • id: 118363594
    {'aut_label': '10D1', 'centralizer': '18.d1.a1', 'counter': 39, 'group_counter': 3398, 'group_order': 1440, 'label': '10D1', 'order': 10, 'powers': [14, 41, 5], 'representative': 27, 'size': 18}
  • id: 118363596
    {'aut_label': '10D1', 'centralizer': '18.d1.a1', 'counter': 40, 'group_counter': 3398, 'group_order': 1440, 'label': '10D-1', 'order': 10, 'powers': [15, 42, 5], 'representative': 219, 'size': 18}
  • id: 118363597
    {'aut_label': '10D1', 'centralizer': '18.d1.a1', 'counter': 41, 'group_counter': 3398, 'group_order': 1440, 'label': '10D3', 'order': 10, 'powers': [17, 40, 5], 'representative': 315, 'size': 18}
  • id: 118363598
    {'aut_label': '10D1', 'centralizer': '18.d1.a1', 'counter': 42, 'group_counter': 3398, 'group_order': 1440, 'label': '10D-3', 'order': 10, 'powers': [16, 39, 5], 'representative': 891, 'size': 18}
  • id: 118363599
    {'aut_label': '12A', 'centralizer': '4.d1.a1', 'counter': 43, 'group_counter': 3398, 'group_order': 1440, 'label': '12A', 'order': 12, 'powers': [19, 9, 43], 'representative': 120, 'size': 4}
  • id: 118363600
    {'aut_label': '12A', 'centralizer': '4.d1.a1', 'counter': 44, 'group_counter': 3398, 'group_order': 1440, 'label': '12B', 'order': 12, 'powers': [18, 9, 44], 'representative': 364, 'size': 4}
  • id: 118363601
    {'aut_label': '12C1', 'centralizer': '4.d1.a1', 'counter': 45, 'group_counter': 3398, 'group_order': 1440, 'label': '12C1', 'order': 12, 'powers': [20, 9, 45], 'representative': 844, 'size': 4}
  • id: 118363602
    {'aut_label': '12C1', 'centralizer': '4.d1.a1', 'counter': 46, 'group_counter': 3398, 'group_order': 1440, 'label': '12C-1', 'order': 12, 'powers': [20, 9, 46], 'representative': 1328, 'size': 4}
  • id: 118363603
    {'aut_label': '12D', 'centralizer': '24.g1.a1', 'counter': 47, 'group_counter': 3398, 'group_order': 1440, 'label': '12D', 'order': 12, 'powers': [18, 12, 47], 'representative': 10, 'size': 24}
  • id: 118363604
    {'aut_label': '12D', 'centralizer': '24.g1.b1', 'counter': 48, 'group_counter': 3398, 'group_order': 1440, 'label': '12E', 'order': 12, 'powers': [19, 13, 48], 'representative': 781, 'size': 24}
  • id: 118363605
    {'aut_label': '15A1', 'centralizer': '2.b1.a1', 'counter': 49, 'group_counter': 3398, 'group_order': 1440, 'label': '15A1', 'order': 15, 'powers': [51, 15, 6], 'representative': 148, 'size': 2}
  • id: 118363607
    {'aut_label': '15A1', 'centralizer': '2.b1.a1', 'counter': 50, 'group_counter': 3398, 'group_order': 1440, 'label': '15A-1', 'order': 15, 'powers': [52, 14, 6], 'representative': 584, 'size': 2}
  • id: 118363608
    {'aut_label': '15A1', 'centralizer': '2.b1.a1', 'counter': 51, 'group_counter': 3398, 'group_order': 1440, 'label': '15A2', 'order': 15, 'powers': [50, 17, 6], 'representative': 296, 'size': 2}
  • id: 118363609
    {'aut_label': '15A1', 'centralizer': '2.b1.a1', 'counter': 52, 'group_counter': 3398, 'group_order': 1440, 'label': '15A-2', 'order': 15, 'powers': [49, 16, 6], 'representative': 436, 'size': 2}
  • id: 118363610
    {'aut_label': '15A1', 'centralizer': '2.b1.b1', 'counter': 53, 'group_counter': 3398, 'group_order': 1440, 'label': '15B1', 'order': 15, 'powers': [55, 16, 7], 'representative': 192, 'size': 2}
  • id: 118363611
    {'aut_label': '15A1', 'centralizer': '2.b1.b1', 'counter': 54, 'group_counter': 3398, 'group_order': 1440, 'label': '15B-1', 'order': 15, 'powers': [56, 17, 7], 'representative': 1248, 'size': 2}
  • id: 118363612
    {'aut_label': '15A1', 'centralizer': '2.b1.b1', 'counter': 55, 'group_counter': 3398, 'group_order': 1440, 'label': '15B2', 'order': 15, 'powers': [54, 15, 7], 'representative': 384, 'size': 2}
  • id: 118363613
    {'aut_label': '15A1', 'centralizer': '2.b1.b1', 'counter': 56, 'group_counter': 3398, 'group_order': 1440, 'label': '15B-2', 'order': 15, 'powers': [53, 14, 7], 'representative': 1056, 'size': 2}
  • id: 118363614
    {'aut_label': '15C1', 'centralizer': '4.d1.a1', 'counter': 57, 'group_counter': 3398, 'group_order': 1440, 'label': '15C1', 'order': 15, 'powers': [59, 14, 8], 'representative': 104, 'size': 4}
  • id: 118363615
    {'aut_label': '15C1', 'centralizer': '4.d1.a1', 'counter': 58, 'group_counter': 3398, 'group_order': 1440, 'label': '15C-1', 'order': 15, 'powers': [60, 15, 8], 'representative': 628, 'size': 4}
  • id: 118363616
    {'aut_label': '15C1', 'centralizer': '4.d1.a1', 'counter': 59, 'group_counter': 3398, 'group_order': 1440, 'label': '15C2', 'order': 15, 'powers': [58, 16, 8], 'representative': 916, 'size': 4}
  • id: 118363618
    {'aut_label': '15C1', 'centralizer': '4.d1.a1', 'counter': 60, 'group_counter': 3398, 'group_order': 1440, 'label': '15C-2', 'order': 15, 'powers': [57, 17, 8], 'representative': 1256, 'size': 4}
  • id: 118363619
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 61, 'group_counter': 3398, 'group_order': 1440, 'label': '20A1', 'order': 20, 'powers': [29, 63, 9], 'representative': 1224, 'size': 2}
  • id: 118363620
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 62, 'group_counter': 3398, 'group_order': 1440, 'label': '20A-1', 'order': 20, 'powers': [30, 64, 9], 'representative': 216, 'size': 2}
  • id: 118363621
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 63, 'group_counter': 3398, 'group_order': 1440, 'label': '20A3', 'order': 20, 'powers': [28, 62, 9], 'representative': 792, 'size': 2}
  • id: 118363622
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 64, 'group_counter': 3398, 'group_order': 1440, 'label': '20A-3', 'order': 20, 'powers': [27, 61, 9], 'representative': 648, 'size': 2}
  • id: 118363623
    {'aut_label': '20B1', 'centralizer': '9.a1.a1', 'counter': 65, 'group_counter': 3398, 'group_order': 1440, 'label': '20B1', 'order': 20, 'powers': [27, 67, 10], 'representative': 291, 'size': 9}
  • id: 118363624
    {'aut_label': '20B1', 'centralizer': '9.a1.a1', 'counter': 66, 'group_counter': 3398, 'group_order': 1440, 'label': '20B-1', 'order': 20, 'powers': [28, 68, 11], 'representative': 199, 'size': 9}
  • id: 118363625
    {'aut_label': '20B1', 'centralizer': '9.a1.a1', 'counter': 67, 'group_counter': 3398, 'group_order': 1440, 'label': '20B3', 'order': 20, 'powers': [29, 71, 11], 'representative': 147, 'size': 9}
  • id: 118363626
    {'aut_label': '20B1', 'centralizer': '9.a1.a1', 'counter': 68, 'group_counter': 3398, 'group_order': 1440, 'label': '20B-3', 'order': 20, 'powers': [30, 72, 10], 'representative': 99, 'size': 9}
  • id: 118363627
    {'aut_label': '20B1', 'centralizer': '9.a1.a1', 'counter': 69, 'group_counter': 3398, 'group_order': 1440, 'label': '20B7', 'order': 20, 'powers': [30, 65, 11], 'representative': 339, 'size': 9}
  • id: 118363629
    {'aut_label': '20B1', 'centralizer': '9.a1.a1', 'counter': 70, 'group_counter': 3398, 'group_order': 1440, 'label': '20B-7', 'order': 20, 'powers': [29, 66, 10], 'representative': 867, 'size': 9}
  • id: 118363630
    {'aut_label': '20B1', 'centralizer': '9.a1.a1', 'counter': 71, 'group_counter': 3398, 'group_order': 1440, 'label': '20B9', 'order': 20, 'powers': [28, 69, 10], 'representative': 195, 'size': 9}
  • id: 118363631
    {'aut_label': '20B1', 'centralizer': '9.a1.a1', 'counter': 72, 'group_counter': 3398, 'group_order': 1440, 'label': '20B-9', 'order': 20, 'powers': [27, 70, 11], 'representative': 51, 'size': 9}
  • id: 118363632
    {'aut_label': '20C1', 'centralizer': '12.h1.b1', 'counter': 73, 'group_counter': 3398, 'group_order': 1440, 'label': '20C1', 'order': 20, 'powers': [29, 75, 12], 'representative': 870, 'size': 12}
  • id: 118363633
    {'aut_label': '20C1', 'centralizer': '12.h1.b1', 'counter': 74, 'group_counter': 3398, 'group_order': 1440, 'label': '20C-1', 'order': 20, 'powers': [30, 76, 12], 'representative': 1302, 'size': 12}
  • id: 118363634
    {'aut_label': '20C1', 'centralizer': '12.h1.b1', 'counter': 75, 'group_counter': 3398, 'group_order': 1440, 'label': '20C3', 'order': 20, 'powers': [28, 74, 12], 'representative': 438, 'size': 12}
  • id: 118363635
    {'aut_label': '20C1', 'centralizer': '12.h1.b1', 'counter': 76, 'group_counter': 3398, 'group_order': 1440, 'label': '20C-3', 'order': 20, 'powers': [27, 73, 12], 'representative': 294, 'size': 12}
  • id: 118363636
    {'aut_label': '20C1', 'centralizer': '12.h1.a1', 'counter': 77, 'group_counter': 3398, 'group_order': 1440, 'label': '20D1', 'order': 20, 'powers': [30, 79, 13], 'representative': 1117, 'size': 12}
  • id: 118363637
    {'aut_label': '20C1', 'centralizer': '12.h1.a1', 'counter': 78, 'group_counter': 3398, 'group_order': 1440, 'label': '20D-1', 'order': 20, 'powers': [29, 80, 13], 'representative': 685, 'size': 12}
  • id: 118363638
    {'aut_label': '20C1', 'centralizer': '12.h1.a1', 'counter': 79, 'group_counter': 3398, 'group_order': 1440, 'label': '20D3', 'order': 20, 'powers': [27, 78, 13], 'representative': 109, 'size': 12}
  • id: 118363640
    {'aut_label': '20C1', 'centralizer': '12.h1.a1', 'counter': 80, 'group_counter': 3398, 'group_order': 1440, 'label': '20D-3', 'order': 20, 'powers': [28, 77, 13], 'representative': 253, 'size': 12}
  • id: 118363641
    {'aut_label': '24A1', 'centralizer': '4.d1.a1', 'counter': 81, 'group_counter': 3398, 'group_order': 1440, 'label': '24A1', 'order': 24, 'powers': [43, 23, 82], 'representative': 60, 'size': 4}
  • id: 118363642
    {'aut_label': '24A1', 'centralizer': '4.d1.a1', 'counter': 82, 'group_counter': 3398, 'group_order': 1440, 'label': '24A-1', 'order': 24, 'powers': [43, 24, 81], 'representative': 1380, 'size': 4}
  • id: 118363643
    {'aut_label': '24A1', 'centralizer': '4.d1.a1', 'counter': 83, 'group_counter': 3398, 'group_order': 1440, 'label': '24B1', 'order': 24, 'powers': [44, 24, 84], 'representative': 1268, 'size': 4}
  • id: 118363644
    {'aut_label': '24A1', 'centralizer': '4.d1.a1', 'counter': 84, 'group_counter': 3398, 'group_order': 1440, 'label': '24B-1', 'order': 24, 'powers': [44, 23, 83], 'representative': 904, 'size': 4}
  • id: 118363645
    {'aut_label': '24C1', 'centralizer': '4.d1.a1', 'counter': 85, 'group_counter': 3398, 'group_order': 1440, 'label': '24C1', 'order': 24, 'powers': [45, 24, 87], 'representative': 788, 'size': 4}
  • id: 118363646
    {'aut_label': '24C1', 'centralizer': '4.d1.a1', 'counter': 86, 'group_counter': 3398, 'group_order': 1440, 'label': '24C-1', 'order': 24, 'powers': [46, 23, 88], 'representative': 1384, 'size': 4}
  • id: 118363647
    {'aut_label': '24C1', 'centralizer': '4.d1.a1', 'counter': 87, 'group_counter': 3398, 'group_order': 1440, 'label': '24C5', 'order': 24, 'powers': [45, 23, 85], 'representative': 304, 'size': 4}
  • id: 118363648
    {'aut_label': '24C1', 'centralizer': '4.d1.a1', 'counter': 88, 'group_counter': 3398, 'group_order': 1440, 'label': '24C-5', 'order': 24, 'powers': [46, 24, 86], 'representative': 428, 'size': 4}
  • id: 118363649
    {'aut_label': '30A1', 'centralizer': '2.b1.a1', 'counter': 89, 'group_counter': 3398, 'group_order': 1440, 'label': '30A1', 'order': 30, 'powers': [52, 29, 18], 'representative': 580, 'size': 2}
  • id: 118363651
    {'aut_label': '30A1', 'centralizer': '2.b1.a1', 'counter': 90, 'group_counter': 3398, 'group_order': 1440, 'label': '30A-1', 'order': 30, 'powers': [51, 30, 18], 'representative': 152, 'size': 2}
  • id: 118363652
    {'aut_label': '30A1', 'centralizer': '2.b1.a1', 'counter': 91, 'group_counter': 3398, 'group_order': 1440, 'label': '30A7', 'order': 30, 'powers': [49, 27, 18], 'representative': 1156, 'size': 2}
  • id: 118363653
    {'aut_label': '30A1', 'centralizer': '2.b1.a1', 'counter': 92, 'group_counter': 3398, 'group_order': 1440, 'label': '30A-7', 'order': 30, 'powers': [50, 28, 18], 'representative': 1016, 'size': 2}
  • id: 118363654
    {'aut_label': '30A1', 'centralizer': '2.b1.b1', 'counter': 93, 'group_counter': 3398, 'group_order': 1440, 'label': '30B1', 'order': 30, 'powers': [54, 30, 19], 'representative': 1104, 'size': 2}
  • id: 118363655
    {'aut_label': '30A1', 'centralizer': '2.b1.b1', 'counter': 94, 'group_counter': 3398, 'group_order': 1440, 'label': '30B-1', 'order': 30, 'powers': [53, 29, 19], 'representative': 336, 'size': 2}
  • id: 118363656
    {'aut_label': '30A1', 'centralizer': '2.b1.b1', 'counter': 95, 'group_counter': 3398, 'group_order': 1440, 'label': '30B7', 'order': 30, 'powers': [56, 28, 19], 'representative': 528, 'size': 2}
  • id: 118363657
    {'aut_label': '30A1', 'centralizer': '2.b1.b1', 'counter': 96, 'group_counter': 3398, 'group_order': 1440, 'label': '30B-7', 'order': 30, 'powers': [55, 27, 19], 'representative': 912, 'size': 2}
  • id: 118363658
    {'aut_label': '30C1', 'centralizer': '4.d1.a1', 'counter': 97, 'group_counter': 3398, 'group_order': 1440, 'label': '30C1', 'order': 30, 'powers': [57, 28, 20], 'representative': 772, 'size': 4}
  • id: 118363659
    {'aut_label': '30C1', 'centralizer': '4.d1.a1', 'counter': 98, 'group_counter': 3398, 'group_order': 1440, 'label': '30C-1', 'order': 30, 'powers': [58, 27, 20], 'representative': 1400, 'size': 4}
  • id: 118363660
    {'aut_label': '30C1', 'centralizer': '4.d1.a1', 'counter': 99, 'group_counter': 3398, 'group_order': 1440, 'label': '30C7', 'order': 30, 'powers': [59, 29, 20], 'representative': 1060, 'size': 4}
  • id: 118363483
    {'aut_label': '30C1', 'centralizer': '4.d1.a1', 'counter': 100, 'group_counter': 3398, 'group_order': 1440, 'label': '30C-7', 'order': 30, 'powers': [60, 30, 20], 'representative': 1112, 'size': 4}
  • id: 118363484
    {'aut_label': '30D1', 'centralizer': '24.b1.a1', 'counter': 101, 'group_counter': 3398, 'group_order': 1440, 'label': '30D1', 'order': 30, 'powers': [49, 31, 21], 'representative': 14, 'size': 24}
  • id: 118363485
    {'aut_label': '30D1', 'centralizer': '24.b1.a1', 'counter': 102, 'group_counter': 3398, 'group_order': 1440, 'label': '30D-1', 'order': 30, 'powers': [50, 32, 21], 'representative': 110, 'size': 24}
  • id: 118363486
    {'aut_label': '30D1', 'centralizer': '24.b1.a1', 'counter': 103, 'group_counter': 3398, 'group_order': 1440, 'label': '30D7', 'order': 30, 'powers': [51, 34, 21], 'representative': 206, 'size': 24}
  • id: 118363487
    {'aut_label': '30D1', 'centralizer': '24.b1.a1', 'counter': 104, 'group_counter': 3398, 'group_order': 1440, 'label': '30D-7', 'order': 30, 'powers': [52, 33, 21], 'representative': 38, 'size': 24}
  • id: 118363488
    {'aut_label': '30D1', 'centralizer': '24.b1.b1', 'counter': 105, 'group_counter': 3398, 'group_order': 1440, 'label': '30E1', 'order': 30, 'powers': [53, 35, 22], 'representative': 97, 'size': 24}
  • id: 118363489
    {'aut_label': '30D1', 'centralizer': '24.b1.b1', 'counter': 106, 'group_counter': 3398, 'group_order': 1440, 'label': '30E-1', 'order': 30, 'powers': [54, 36, 22], 'representative': 25, 'size': 24}
  • id: 118363490
    {'aut_label': '30D1', 'centralizer': '24.b1.b1', 'counter': 107, 'group_counter': 3398, 'group_order': 1440, 'label': '30E7', 'order': 30, 'powers': [55, 38, 22], 'representative': 193, 'size': 24}
  • id: 118363491
    {'aut_label': '30D1', 'centralizer': '24.b1.b1', 'counter': 108, 'group_counter': 3398, 'group_order': 1440, 'label': '30E-7', 'order': 30, 'powers': [56, 37, 22], 'representative': 49, 'size': 24}
  • id: 118363492
    {'aut_label': '40A1', 'centralizer': '2.d1.a1', 'counter': 109, 'group_counter': 3398, 'group_order': 1440, 'label': '40A1', 'order': 40, 'powers': [63, 111, 23], 'representative': 36, 'size': 2}
  • id: 118363494
    {'aut_label': '40A1', 'centralizer': '2.d1.a1', 'counter': 110, 'group_counter': 3398, 'group_order': 1440, 'label': '40A-1', 'order': 40, 'powers': [64, 112, 24], 'representative': 1404, 'size': 2}
  • id: 118363495
    {'aut_label': '40A1', 'centralizer': '2.d1.a1', 'counter': 111, 'group_counter': 3398, 'group_order': 1440, 'label': '40A3', 'order': 40, 'powers': [62, 113, 23], 'representative': 108, 'size': 2}
  • id: 118363496
    {'aut_label': '40A1', 'centralizer': '2.d1.a1', 'counter': 112, 'group_counter': 3398, 'group_order': 1440, 'label': '40A-3', 'order': 40, 'powers': [61, 114, 24], 'representative': 1332, 'size': 2}
  • id: 118363497
    {'aut_label': '40A1', 'centralizer': '2.d1.a1', 'counter': 113, 'group_counter': 3398, 'group_order': 1440, 'label': '40A9', 'order': 40, 'powers': [64, 116, 23], 'representative': 324, 'size': 2}
  • id: 118363498
    {'aut_label': '40A1', 'centralizer': '2.d1.a1', 'counter': 114, 'group_counter': 3398, 'group_order': 1440, 'label': '40A-9', 'order': 40, 'powers': [63, 115, 24], 'representative': 1116, 'size': 2}
  • id: 118363499
    {'aut_label': '40A1', 'centralizer': '2.d1.a1', 'counter': 115, 'group_counter': 3398, 'group_order': 1440, 'label': '40A13', 'order': 40, 'powers': [62, 110, 24], 'representative': 468, 'size': 2}
  • id: 118363500
    {'aut_label': '40A1', 'centralizer': '2.d1.a1', 'counter': 116, 'group_counter': 3398, 'group_order': 1440, 'label': '40A-13', 'order': 40, 'powers': [61, 109, 23], 'representative': 972, 'size': 2}
  • id: 118363501
    {'aut_label': '40B1', 'centralizer': '18.d1.a1', 'counter': 117, 'group_counter': 3398, 'group_order': 1440, 'label': '40B1', 'order': 40, 'powers': [61, 119, 25], 'representative': 15, 'size': 18}
  • id: 118363502
    {'aut_label': '40B1', 'centralizer': '18.d1.a1', 'counter': 118, 'group_counter': 3398, 'group_order': 1440, 'label': '40B-1', 'order': 40, 'powers': [62, 120, 25], 'representative': 111, 'size': 18}
  • id: 118363503
    {'aut_label': '40B1', 'centralizer': '18.d1.a1', 'counter': 119, 'group_counter': 3398, 'group_order': 1440, 'label': '40B3', 'order': 40, 'powers': [63, 118, 26], 'representative': 159, 'size': 18}
  • id: 118363505
    {'aut_label': '40B1', 'centralizer': '18.d1.a1', 'counter': 120, 'group_counter': 3398, 'group_order': 1440, 'label': '40B-3', 'order': 40, 'powers': [64, 117, 26], 'representative': 87, 'size': 18}
  • id: 118363506
    {'aut_label': '40B1', 'centralizer': '18.d1.a1', 'counter': 121, 'group_counter': 3398, 'group_order': 1440, 'label': '40B7', 'order': 40, 'powers': [64, 123, 25], 'representative': 207, 'size': 18}
  • id: 118363507
    {'aut_label': '40B1', 'centralizer': '18.d1.a1', 'counter': 122, 'group_counter': 3398, 'group_order': 1440, 'label': '40B-7', 'order': 40, 'powers': [63, 124, 25], 'representative': 39, 'size': 18}
  • id: 118363508
    {'aut_label': '40B1', 'centralizer': '18.d1.a1', 'counter': 123, 'group_counter': 3398, 'group_order': 1440, 'label': '40B11', 'order': 40, 'powers': [61, 122, 26], 'representative': 19, 'size': 18}
  • id: 118363509
    {'aut_label': '40B1', 'centralizer': '18.d1.a1', 'counter': 124, 'group_counter': 3398, 'group_order': 1440, 'label': '40B-11', 'order': 40, 'powers': [62, 121, 26], 'representative': 351, 'size': 18}
  • id: 118363510
    {'aut_label': '60A1', 'centralizer': '4.d1.a1', 'counter': 125, 'group_counter': 3398, 'group_order': 1440, 'label': '60A1', 'order': 60, 'powers': [95, 63, 43], 'representative': 24, 'size': 4}
  • id: 118363511
    {'aut_label': '60A1', 'centralizer': '4.d1.a1', 'counter': 126, 'group_counter': 3398, 'group_order': 1440, 'label': '60A-1', 'order': 60, 'powers': [96, 64, 43], 'representative': 1416, 'size': 4}
  • id: 118363512
    {'aut_label': '60A1', 'centralizer': '4.d1.a1', 'counter': 127, 'group_counter': 3398, 'group_order': 1440, 'label': '60A7', 'order': 60, 'powers': [94, 61, 43], 'representative': 168, 'size': 4}
  • id: 118363513
    {'aut_label': '60A1', 'centralizer': '4.d1.a1', 'counter': 128, 'group_counter': 3398, 'group_order': 1440, 'label': '60A-7', 'order': 60, 'powers': [93, 62, 43], 'representative': 1272, 'size': 4}
  • id: 118363514
    {'aut_label': '60A1', 'centralizer': '4.d1.a1', 'counter': 129, 'group_counter': 3398, 'group_order': 1440, 'label': '60B1', 'order': 60, 'powers': [91, 64, 44], 'representative': 224, 'size': 4}
  • id: 118363516
    {'aut_label': '60A1', 'centralizer': '4.d1.a1', 'counter': 130, 'group_counter': 3398, 'group_order': 1440, 'label': '60B-1', 'order': 60, 'powers': [92, 63, 44], 'representative': 508, 'size': 4}
  • id: 118363517
    {'aut_label': '60A1', 'centralizer': '4.d1.a1', 'counter': 131, 'group_counter': 3398, 'group_order': 1440, 'label': '60B7', 'order': 60, 'powers': [90, 62, 44], 'representative': 80, 'size': 4}
  • id: 118363518
    {'aut_label': '60A1', 'centralizer': '4.d1.a1', 'counter': 132, 'group_counter': 3398, 'group_order': 1440, 'label': '60B-7', 'order': 60, 'powers': [89, 61, 44], 'representative': 652, 'size': 4}
  • id: 118363519
    {'aut_label': '60C1', 'centralizer': '4.d1.a1', 'counter': 133, 'group_counter': 3398, 'group_order': 1440, 'label': '60C1', 'order': 60, 'powers': [97, 63, 45], 'representative': 32, 'size': 4}
  • id: 118363520
    {'aut_label': '60C1', 'centralizer': '4.d1.a1', 'counter': 134, 'group_counter': 3398, 'group_order': 1440, 'label': '60C-1', 'order': 60, 'powers': [98, 64, 46], 'representative': 700, 'size': 4}
  • id: 118363521
    {'aut_label': '60C1', 'centralizer': '4.d1.a1', 'counter': 135, 'group_counter': 3398, 'group_order': 1440, 'label': '60C7', 'order': 60, 'powers': [99, 61, 46], 'representative': 176, 'size': 4}
  • id: 118363522
    {'aut_label': '60C1', 'centralizer': '4.d1.a1', 'counter': 136, 'group_counter': 3398, 'group_order': 1440, 'label': '60C-7', 'order': 60, 'powers': [100, 62, 45], 'representative': 556, 'size': 4}
  • id: 118363523
    {'aut_label': '60C1', 'centralizer': '4.d1.a1', 'counter': 137, 'group_counter': 3398, 'group_order': 1440, 'label': '60C11', 'order': 60, 'powers': [97, 63, 46], 'representative': 988, 'size': 4}
  • id: 118363524
    {'aut_label': '60C1', 'centralizer': '4.d1.a1', 'counter': 138, 'group_counter': 3398, 'group_order': 1440, 'label': '60C-11', 'order': 60, 'powers': [98, 64, 45], 'representative': 1184, 'size': 4}
  • id: 118363525
    {'aut_label': '60C1', 'centralizer': '4.d1.a1', 'counter': 139, 'group_counter': 3398, 'group_order': 1440, 'label': '60C17', 'order': 60, 'powers': [99, 61, 45], 'representative': 1132, 'size': 4}
  • id: 118363527
    {'aut_label': '60C1', 'centralizer': '4.d1.a1', 'counter': 140, 'group_counter': 3398, 'group_order': 1440, 'label': '60C-17', 'order': 60, 'powers': [100, 62, 46], 'representative': 1040, 'size': 4}
  • id: 118363528
    {'aut_label': '60D1', 'centralizer': '24.g1.a1', 'counter': 141, 'group_counter': 3398, 'group_order': 1440, 'label': '60D1', 'order': 60, 'powers': [89, 73, 47], 'representative': 290, 'size': 24}
  • id: 118363529
    {'aut_label': '60D1', 'centralizer': '24.g1.a1', 'counter': 142, 'group_counter': 3398, 'group_order': 1440, 'label': '60D-1', 'order': 60, 'powers': [90, 74, 47], 'representative': 194, 'size': 24}
  • id: 118363530
    {'aut_label': '60D1', 'centralizer': '24.g1.a1', 'counter': 143, 'group_counter': 3398, 'group_order': 1440, 'label': '60D7', 'order': 60, 'powers': [91, 76, 47], 'representative': 98, 'size': 24}
  • id: 118363531
    {'aut_label': '60D1', 'centralizer': '24.g1.a1', 'counter': 144, 'group_counter': 3398, 'group_order': 1440, 'label': '60D-7', 'order': 60, 'powers': [92, 75, 47], 'representative': 26, 'size': 24}
  • id: 118363532
    {'aut_label': '60D1', 'centralizer': '24.g1.b1', 'counter': 145, 'group_counter': 3398, 'group_order': 1440, 'label': '60E1', 'order': 60, 'powers': [93, 77, 48], 'representative': 13, 'size': 24}
  • id: 118363533
    {'aut_label': '60D1', 'centralizer': '24.g1.b1', 'counter': 146, 'group_counter': 3398, 'group_order': 1440, 'label': '60E-1', 'order': 60, 'powers': [94, 78, 48], 'representative': 589, 'size': 24}
  • id: 118363534
    {'aut_label': '60D1', 'centralizer': '24.g1.b1', 'counter': 147, 'group_counter': 3398, 'group_order': 1440, 'label': '60E7', 'order': 60, 'powers': [95, 80, 48], 'representative': 205, 'size': 24}
  • id: 118363535
    {'aut_label': '60D1', 'centralizer': '24.g1.b1', 'counter': 148, 'group_counter': 3398, 'group_order': 1440, 'label': '60E-7', 'order': 60, 'powers': [96, 79, 48], 'representative': 877, 'size': 24}
  • id: 118363536
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 149, 'group_counter': 3398, 'group_order': 1440, 'label': '120A1', 'order': 120, 'powers': [125, 109, 81], 'representative': 12, 'size': 4}
  • id: 118363538
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 150, 'group_counter': 3398, 'group_order': 1440, 'label': '120A-1', 'order': 120, 'powers': [126, 110, 82], 'representative': 348, 'size': 4}
  • id: 118363539
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 151, 'group_counter': 3398, 'group_order': 1440, 'label': '120A7', 'order': 120, 'powers': [127, 112, 82], 'representative': 84, 'size': 4}
  • id: 118363540
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 152, 'group_counter': 3398, 'group_order': 1440, 'label': '120A-7', 'order': 120, 'powers': [128, 111, 81], 'representative': 876, 'size': 4}
  • id: 118363541
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 153, 'group_counter': 3398, 'group_order': 1440, 'label': '120A13', 'order': 120, 'powers': [128, 115, 82], 'representative': 156, 'size': 4}
  • id: 118363542
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 154, 'group_counter': 3398, 'group_order': 1440, 'label': '120A-13', 'order': 120, 'powers': [127, 116, 81], 'representative': 204, 'size': 4}
  • id: 118363543
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 155, 'group_counter': 3398, 'group_order': 1440, 'label': '120A19', 'order': 120, 'powers': [126, 113, 81], 'representative': 588, 'size': 4}
  • id: 118363544
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 156, 'group_counter': 3398, 'group_order': 1440, 'label': '120A-19', 'order': 120, 'powers': [125, 114, 82], 'representative': 1212, 'size': 4}
  • id: 118363545
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 157, 'group_counter': 3398, 'group_order': 1440, 'label': '120B1', 'order': 120, 'powers': [129, 110, 83], 'representative': 112, 'size': 4}
  • id: 118363546
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 158, 'group_counter': 3398, 'group_order': 1440, 'label': '120B-1', 'order': 120, 'powers': [130, 109, 84], 'representative': 256, 'size': 4}
  • id: 118363547
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 159, 'group_counter': 3398, 'group_order': 1440, 'label': '120B7', 'order': 120, 'powers': [131, 111, 84], 'representative': 44, 'size': 4}
  • id: 118363549
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 160, 'group_counter': 3398, 'group_order': 1440, 'label': '120B-7', 'order': 120, 'powers': [132, 112, 83], 'representative': 328, 'size': 4}
  • id: 118363550
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 161, 'group_counter': 3398, 'group_order': 1440, 'label': '120B13', 'order': 120, 'powers': [132, 116, 84], 'representative': 332, 'size': 4}
  • id: 118363551
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 162, 'group_counter': 3398, 'group_order': 1440, 'label': '120B-13', 'order': 120, 'powers': [131, 115, 83], 'representative': 40, 'size': 4}
  • id: 118363552
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 163, 'group_counter': 3398, 'group_order': 1440, 'label': '120B19', 'order': 120, 'powers': [130, 114, 83], 'representative': 616, 'size': 4}
  • id: 118363553
    {'aut_label': '120A1', 'centralizer': '4.d1.a1', 'counter': 164, 'group_counter': 3398, 'group_order': 1440, 'label': '120B-19', 'order': 120, 'powers': [129, 113, 84], 'representative': 116, 'size': 4}
  • id: 118363554
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 165, 'group_counter': 3398, 'group_order': 1440, 'label': '120C1', 'order': 120, 'powers': [133, 114, 85], 'representative': 16, 'size': 4}
  • id: 118363555
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 166, 'group_counter': 3398, 'group_order': 1440, 'label': '120C-1', 'order': 120, 'powers': [134, 113, 86], 'representative': 596, 'size': 4}
  • id: 118363556
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 167, 'group_counter': 3398, 'group_order': 1440, 'label': '120C7', 'order': 120, 'powers': [135, 116, 86], 'representative': 1172, 'size': 4}
  • id: 118363557
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 168, 'group_counter': 3398, 'group_order': 1440, 'label': '120C-7', 'order': 120, 'powers': [136, 115, 85], 'representative': 880, 'size': 4}
  • id: 118363558
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 169, 'group_counter': 3398, 'group_order': 1440, 'label': '120C11', 'order': 120, 'powers': [137, 114, 88], 'representative': 496, 'size': 4}
  • id: 118363560
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 170, 'group_counter': 3398, 'group_order': 1440, 'label': '120C-11', 'order': 120, 'powers': [138, 113, 87], 'representative': 236, 'size': 4}
  • id: 118363561
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 171, 'group_counter': 3398, 'group_order': 1440, 'label': '120C13', 'order': 120, 'powers': [136, 111, 87], 'representative': 160, 'size': 4}
  • id: 118363562
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 172, 'group_counter': 3398, 'group_order': 1440, 'label': '120C-13', 'order': 120, 'powers': [135, 112, 88], 'representative': 208, 'size': 4}
  • id: 118363563
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 173, 'group_counter': 3398, 'group_order': 1440, 'label': '120C17', 'order': 120, 'powers': [139, 112, 85], 'representative': 1168, 'size': 4}
  • id: 118363564
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 174, 'group_counter': 3398, 'group_order': 1440, 'label': '120C-17', 'order': 120, 'powers': [140, 111, 86], 'representative': 884, 'size': 4}
  • id: 118363565
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 175, 'group_counter': 3398, 'group_order': 1440, 'label': '120C19', 'order': 120, 'powers': [134, 110, 88], 'representative': 232, 'size': 4}
  • id: 118363566
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 176, 'group_counter': 3398, 'group_order': 1440, 'label': '120C-19', 'order': 120, 'powers': [133, 109, 87], 'representative': 500, 'size': 4}
  • id: 118363567
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 177, 'group_counter': 3398, 'group_order': 1440, 'label': '120C31', 'order': 120, 'powers': [137, 109, 86], 'representative': 20, 'size': 4}
  • id: 118363568
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 178, 'group_counter': 3398, 'group_order': 1440, 'label': '120C-31', 'order': 120, 'powers': [138, 110, 85], 'representative': 592, 'size': 4}
  • id: 118363569
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 179, 'group_counter': 3398, 'group_order': 1440, 'label': '120C37', 'order': 120, 'powers': [139, 116, 87], 'representative': 212, 'size': 4}
  • id: 118363571
    {'aut_label': '120C1', 'centralizer': '4.d1.a1', 'counter': 180, 'group_counter': 3398, 'group_order': 1440, 'label': '120C-37', 'order': 120, 'powers': [140, 115, 88], 'representative': 164, '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: 6339655
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6339666
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6339677
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6339688
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6339699
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6339705
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 6339706
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6339707
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6339663
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 0, 2, 0, 2, -1, -1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, 0, -1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -1, 2, -1, -1, 0, -1, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, -1, -1, -1, 0, -1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 0, 0, -1, -1, 0, -1, 0, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6339664
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2b', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 0, 0, -1, 2, -1, 2, 0, 0, 2, 0, 2, 2, 2, 2, -1, 2, -1, -1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, -1, -1, -1, -1, 0, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, -1, 0, -1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, -1, -1, 0, 0, -1, 0, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2], 'schur_index': 1}
  • id: 6339665
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 0, 0, -2, 2, 2, 2, -2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6339667
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 0, 0, 2, 2, 2, 2, -2, -2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6339668
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2e', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 0, -1, 2, -1, 2, 0, 0, -2, 0, 2, 2, 2, 2, -1, 2, -1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 2, -1, -1, -1, 1, 0, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 1, 1, 0, 0, 1, 0, 1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2], 'schur_index': 1}
  • id: 6339669
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 0, -1, 2, -1, 2, 0, 0, 2, 0, 2, 2, 2, 2, -1, 2, -1, 1, 0, -2, -2, 0, 0, 2, 2, 2, 2, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 2, -1, -1, -1, -1, 0, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, -2, -2, 1, 1, 1, 1, 1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 1, 1, 0, 0, 0, 1, 0, 1, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, -1, -1, 0, 0, -1, 0, -1, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2], 'schur_index': 1}
  • id: 6339670
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2g', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 0, -2, 0, 2, -1, -1, 2, 0, 0, 0, -2, 2, 2, 2, 2, 2, -1, -1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, -2, -2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -1, 2, -1, -1, 0, 1, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6339671
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2h', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 0, -2, 0, 2, -1, -1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, 0, 1, -2, -2, 0, 0, 2, 2, 2, 2, -2, -2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -1, 2, -1, -1, 0, -1, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, 1, -2, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, 1, 1, 1, 0, 1, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 0, 0, -1, -1, 0, -1, 0, -2, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6339672
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2i', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 0, 2, 0, 2, -1, -1, 2, 0, 0, 0, -2, 2, 2, 2, 2, 2, -1, -1, 0, -1, -2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -1, 2, -1, -1, 0, 1, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, 1, -2, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, -1, -1, -1, 0, -1, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 1, 0, 0, 1, 1, 0, 1, 0, -2, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6339673
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2j', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 0, 0, -1, 2, -1, 2, 0, 0, -2, 0, 2, 2, 2, 2, -1, 2, -1, -1, 0, -2, -2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, -1, -1, -1, 1, 0, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, 1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, -1, 0, -1, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2], 'schur_index': 1}
  • id: 6339708
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1i', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 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, 4, 4, 4, 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, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6339656
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1j', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 4, 4, 4, -4, -4, 4, 4, -1, -1, -1, -1, 4, 4, 4, -4, -4, -4, -4, 4, 4, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 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, -4, -4, -4, -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, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6339657
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1k', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -1, -1, -1, -1, 4, 4, 4, -4, -4, 4, 4, 4, 4, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 4, 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, 4, 4, 4, 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, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6339658
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1l', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, 4, 4, 4, 4, -4, -4, -4, 4, -1, -1, -1, -1, 4, 4, 4, -4, 4, 4, 4, -4, -4, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 4, 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, 4, 4, 4, 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, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6339659
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1m', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -1, -1, -1, -1, 4, 4, 4, -4, 4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 4, 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, -4, -4, -4, -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, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6339660
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1n', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, 4, 4, 4, 4, -4, -4, 4, -4, -1, -1, -1, -1, 4, 4, 4, 4, -4, 4, 4, -4, -4, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 4, 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, 4, 4, 4, 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, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6339661
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1o', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, 4, 4, 4, 4, 4, 4, -4, 4, -1, -1, -1, -1, 4, 4, 4, 4, -4, -4, -4, -4, -4, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 4, 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, -4, -4, -4, -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, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6339662
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.1p', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, 4, 4, 4, 4, 4, -4, -4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 4, 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, -4, -4, -4, -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, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6339687
    {'cdim': 4, 'counter': 39, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4a', 'multiplicity': 1, 'nt': [6, 9], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 0, -2, -2, 1, 4, 0, 0, 0, 0, 4, 4, 4, 4, -2, -2, 1, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, 1, 1, -2, -2, -2, -2, 1, -2, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2], 'schur_index': 1}
  • id: 6339689
    {'cdim': 4, 'counter': 40, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4b', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 0, -2, 4, -2, -4, 0, 0, 0, 0, 4, 4, 4, 4, -2, 4, -2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, 0, 0, -2, -2, 4, 4, -2, 4, -2, 4, -2, -2, -2, -2, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -2, -2, -2, 4, -2, 4, -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, -4, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6339690
    {'cdim': 4, 'counter': 41, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4c', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 0, 4, -2, -2, -4, 0, 0, 0, 0, 4, 4, 4, 4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 2, 0, 0, 4, 4, -2, -2, 4, -2, 4, -2, -2, -2, -2, -2, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 4, 4, 4, -2, 4, -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, 2, 2, 2, 2, -4, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6339691
    {'cdim': 4, 'counter': 42, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4d', 'multiplicity': 1, 'nt': [12, 37], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 0, -2, -2, 1, 4, 0, 0, 0, 0, 4, 4, 4, 4, -2, -2, 1, 0, 0, -4, -4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, -1, 2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2], 'schur_index': 1}
  • id: 6339674
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2k', 'multiplicity': 4, 'nt': [15, 4], 'qdim': 8, 'qvalues': [8, 8, 0, 8, 0, 8, -4, -4, 8, 0, 0, 0, 8, -2, -2, -2, -2, 8, -4, -4, 0, -4, 8, 8, 0, 0, -2, -2, -2, -2, -2, -2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -4, 8, -4, -4, 0, -4, -2, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 8, -4, -4, -4, -4, -4, -4, 8, 1, 1, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 0, 0, 1, 1, 0, 1, 0, -2, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6339675
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2l', 'multiplicity': 4, 'nt': [15, 4], 'qdim': 8, 'qvalues': [8, 8, 8, 0, 0, -4, 8, -4, 8, 0, 0, 8, 0, -2, -2, -2, -2, -4, 8, -4, -4, 0, 8, 8, 0, 0, -2, -2, -2, -2, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 8, -4, -4, -4, -4, 0, 1, 1, -2, -2, 1, -2, 1, -2, 1, 1, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -4, 8, 8, -4, -4, -4, -4, -4, -2, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2], 'schur_index': 1}
  • id: 6339676
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2m', 'multiplicity': 4, 'nt': [16, 44], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, -8, -8, -8, 0, 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, 8, 8, 8, 8, 8, 8, 8, 8, 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, -8, -8, -8, -8, -8, -8, -8, -8, -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: 6339678
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2n', 'multiplicity': 4, 'nt': [20, 12], 'qdim': 8, 'qvalues': [8, 8, 0, 0, -8, 8, 8, 8, -8, 8, 8, 0, 0, -2, -2, -2, -2, 8, 8, 8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -8, -8, -8, -8, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6339679
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2o', 'multiplicity': 4, 'nt': [20, 12], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 8, 8, 8, 8, -8, -8, -8, 0, 0, -2, -2, -2, -2, 8, 8, 8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, -8, -8, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6339680
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2p', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, -8, 0, 0, -4, 8, -4, 8, 0, 0, -8, 0, -2, -2, -2, -2, -4, 8, -4, 4, 0, 8, 8, 0, 0, -2, -2, -2, -2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 8, -4, -4, -4, 4, 0, 1, 1, -2, -2, 1, -2, 1, -2, 1, 1, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -4, 8, 8, -4, -4, -4, -4, -4, -2, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, -1, -1, 0, 0, 0, -1, 0, -1, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 0, -1, -1, 0, 0, -1, 0, -1, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2], 'schur_index': 1}
  • id: 6339681
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2q', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, -8, 0, 0, -4, 8, -4, 8, 0, 0, 8, 0, -2, -2, -2, -2, -4, 8, -4, 4, 0, -8, -8, 0, 0, -2, -2, -2, -2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 8, -4, -4, -4, -4, 0, 1, 1, -2, -2, 1, -2, 1, -2, 1, 1, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 4, -8, -8, 4, 4, 4, 4, 4, -2, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, -1, -1, 0, 0, 0, -1, 0, -1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2], 'schur_index': 1}
  • id: 6339682
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2r', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 0, -8, 0, 8, -4, -4, 8, 0, 0, 0, -8, -2, -2, -2, -2, 8, -4, -4, 0, 4, 8, 8, 0, 0, -2, -2, -2, -2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -4, 8, -4, -4, 0, 4, -2, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 8, -4, -4, -4, -4, -4, -4, 8, 1, 1, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, -1, -1, -1, 0, -1, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, -1, 0, 0, -1, -1, 0, -1, 0, -2, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6339683
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2s', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 0, -8, 0, 8, -4, -4, 8, 0, 0, 0, 8, -2, -2, -2, -2, 8, -4, -4, 0, 4, -8, -8, 0, 0, -2, -2, -2, -2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -4, 8, -4, -4, 0, -4, -2, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, -8, 4, 4, 4, 4, 4, 4, -8, 1, 1, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, -1, -1, -1, 0, -1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6339684
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2t', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 0, 8, 0, 8, -4, -4, 8, 0, 0, 0, -8, -2, -2, -2, -2, 8, -4, -4, 0, -4, -8, -8, 0, 0, -2, -2, -2, -2, -2, -2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -4, 8, -4, -4, 0, 4, -2, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -8, 4, 4, 4, 4, 4, 4, -8, 1, 1, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, -1, 0, 0, -1, -1, 0, -1, 0, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6339685
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2u', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 8, 0, 0, -4, 8, -4, 8, 0, 0, -8, 0, -2, -2, -2, -2, -4, 8, -4, -4, 0, -8, -8, 0, 0, -2, -2, -2, -2, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 8, -4, -4, -4, 4, 0, 1, 1, -2, -2, 1, -2, 1, -2, 1, 1, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, -8, -8, 4, 4, 4, 4, 4, -2, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 0, -1, -1, 0, 0, -1, 0, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2], 'schur_index': 1}
  • id: 6339692
    {'cdim': 4, 'counter': 43, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4e', 'multiplicity': 2, 'nt': [24, 231], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, -4, -4, 2, -8, 0, 0, 0, 0, 8, 8, 8, 8, -4, -4, 2, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -2, -2, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 2, 2, 2, 2, -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, -4, -4, -4, -4, -4, -4, -4, -4, 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, 4, 4, 4, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, 4, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6339693
    {'cdim': 4, 'counter': 44, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4f', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, -4, 8, -4, 0, 0, 0, 0, 0, 8, 8, 8, 8, 4, -8, 4, 0, 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, -4, -4, 8, 8, -4, 8, -4, 8, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 4, 4, -8, 4, -8, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 6339694
    {'cdim': 4, 'counter': 45, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4g', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 8, -4, -4, 0, 0, 0, 0, 0, 8, 8, 8, 8, -8, 4, 4, 0, 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, 8, 8, -4, -4, 8, -4, 8, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -8, -8, -8, 4, -8, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 6339695
    {'cdim': 4, 'counter': 46, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4h', 'multiplicity': 4, 'nt': [30, 41], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, -8, -8, 4, 16, 0, 0, 0, 0, -4, -4, -4, -4, -8, -8, 4, 0, 0, 16, 16, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 4, 4, 4, 4, -8, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2], 'schur_index': 1}
  • id: 6339696
    {'cdim': 4, 'counter': 47, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4i', 'multiplicity': 4, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 0, -8, -8, 4, 0, 0, 0, 0, 0, 16, 16, 16, 16, 8, 8, -4, 0, 0, 0, 0, 0, 0, -16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -8, -8, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6339697
    {'cdim': 4, 'counter': 48, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4j', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, -8, -8, 4, 16, 0, 0, 0, 0, -4, -4, -4, -4, -8, -8, 4, 0, 0, -16, -16, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, -4, -4, -4, -4, 8, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, 1, 1, -2, -2, -2, -2, 1, -2, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2], 'schur_index': 1}
  • id: 6339698
    {'cdim': 4, 'counter': 49, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4k', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, -8, 16, -8, -16, 0, 0, 0, 0, -4, -4, -4, -4, -8, 16, -8, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 8, 8, 8, 0, 0, 2, 2, -4, -4, 2, -4, 2, -4, 2, 2, 2, 2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 2, 2, 2, -4, 2, -4, 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, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6339700
    {'cdim': 4, 'counter': 50, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4l', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 16, -8, -8, -16, 0, 0, 0, 0, -4, -4, -4, -4, 16, -8, -8, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -16, 8, 8, 0, 0, -4, -4, 2, 2, -4, 2, -4, 2, 2, 2, 2, 2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4, -4, -4, 2, -4, 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, -2, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6339686
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.2v', 'multiplicity': 16, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 32, 32, 32, 0, 0, 0, 0, 0, -8, -8, -8, -8, -32, -32, -32, 0, 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, -8, -8, -8, -8, -8, -8, -8, -8, -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, 8, 8, 8, 8, 8, 8, 8, 8, 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: 6339701
    {'cdim': 4, 'counter': 51, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4m', 'multiplicity': 8, 'nt': [120, 0], 'qdim': 32, 'qvalues': [32, 32, 0, 0, 0, -16, -16, 8, -32, 0, 0, 0, 0, -8, -8, -8, -8, -16, -16, 8, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, -8, -8, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, 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, 4, 4, 4, 4, 4, 4, 4, 4, -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, -4, -4, -4, 2, -4, -4, -4, 2, 2, 2, 2, 2, 2, -4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6339702
    {'cdim': 4, 'counter': 52, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4n', 'multiplicity': 8, 'nt': [240, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, -16, 32, -16, 0, 0, 0, 0, 0, -8, -8, -8, -8, 16, -32, 16, 0, 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, 4, 4, -8, -8, 4, -8, 4, -8, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -4, -4, -4, 8, -4, 8, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6339703
    {'cdim': 4, 'counter': 53, 'faithful': False, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4o', 'multiplicity': 8, 'nt': [240, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 32, -16, -16, 0, 0, 0, 0, 0, -8, -8, -8, -8, -32, 16, 16, 0, 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, -8, -8, 4, 4, -8, 4, -8, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, 8, -4, 8, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6339704
    {'cdim': 4, 'counter': 54, 'faithful': True, 'group': '1440.3398', 'group_order': 1440, 'image': None, 'label': '1440.3398.4p', 'multiplicity': 16, 'nt': [240, 0], 'qdim': 64, 'qvalues': [64, -64, 0, 0, 0, -32, -32, 16, 0, 0, 0, 0, 0, -16, -16, -16, -16, 32, 32, -16, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -8, -8, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13553155
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1440, 'label': '1440.3398.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 13553247
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 720, 'label': '1440.3398.1b', '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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 13553258
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 720, 'label': '1440.3398.1c', '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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 13553269
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.b1', 'kernel_order': 720, 'label': '1440.3398.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 13553280
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  • id: 13553291
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  • id: 13553302
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  • id: 13553313
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  • id: 13553324
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  • id: 13553156
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  • id: 13553167
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 11, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 288, 'label': '1440.3398.1i3', '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, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[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, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]]]}
  • id: 13553178
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 12, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 288, 'label': '1440.3398.1i4', '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, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[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, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]]]}
  • id: 13553189
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 13, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1.a1', 'kernel_order': 144, 'label': '1440.3398.1j1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[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, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 13553200
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 14, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1.a1', 'kernel_order': 144, 'label': '1440.3398.1j2', '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, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[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, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 13553211
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 15, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1.a1', 'kernel_order': 144, 'label': '1440.3398.1j3', '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, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[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, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]]]}
  • id: 13553222
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 16, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1.a1', 'kernel_order': 144, 'label': '1440.3398.1j4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[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, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 2]]]}
  • id: 13553233
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 17, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1.a1', 'kernel_order': 144, 'label': '1440.3398.1k1', '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, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[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, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 13553244
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 18, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1.a1', 'kernel_order': 144, 'label': '1440.3398.1k2', '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, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[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, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 13553246
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 19, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1.a1', 'kernel_order': 144, 'label': '1440.3398.1k3', '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, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[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, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]]]}
  • id: 13553248
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  • id: 13553249
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 21, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 144, 'label': '1440.3398.1l1', '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, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[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, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 13553250
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  • id: 13553251
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  • id: 13553252
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  • id: 13553253
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  • id: 13553254
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 26, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.b1', 'kernel_order': 144, 'label': '1440.3398.1m2', '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, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[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, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 13553255
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 27, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.b1', 'kernel_order': 144, 'label': '1440.3398.1m3', '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, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[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, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]]]}
  • id: 13553256
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 28, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.b1', 'kernel_order': 144, 'label': '1440.3398.1m4', '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, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[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, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 2]]]}
  • id: 13553257
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 29, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 144, 'label': '1440.3398.1n1', '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, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[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, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 13553259
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  • id: 13553260
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 31, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 144, 'label': '1440.3398.1n3', '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, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[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, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]]]}
  • id: 13553261
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 32, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 144, 'label': '1440.3398.1n4', '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, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[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, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]]]}
  • id: 13553262
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 33, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 144, 'label': '1440.3398.1o1', '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, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[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, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 13553263
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 34, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 144, 'label': '1440.3398.1o2', '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, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[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, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 13553264
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 35, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 144, 'label': '1440.3398.1o3', '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, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[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, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]]]}
  • id: 13553265
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 36, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 144, 'label': '1440.3398.1o4', '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, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[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, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 2]]]}
  • id: 13553266
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 37, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1.a1', 'kernel_order': 144, 'label': '1440.3398.1p1', '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, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[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, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 13553267
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 38, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1.a1', 'kernel_order': 144, 'label': '1440.3398.1p2', '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, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[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, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 13553268
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 39, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1.a1', 'kernel_order': 144, 'label': '1440.3398.1p3', '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, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[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, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]]]}
  • id: 13553270
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  • id: 13553271
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 41, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.b1', 'kernel_order': 240, 'label': '1440.3398.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[0, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-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: 13553272
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 42, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 240, 'label': '1440.3398.2b', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 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]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]]]}
  • id: 13553273
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 360, 'counter': 43, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 180, 'label': '1440.3398.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13553274
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 360, 'counter': 44, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1.a1', 'kernel_order': 180, 'label': '1440.3398.2d', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13553275
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 45, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1.b1', 'kernel_order': 120, 'label': '1440.3398.2e', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 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]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]]]}
  • id: 13553276
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  • id: 13553277
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  • id: 13553278
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 48, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.a1', 'kernel_order': 120, 'label': '1440.3398.2h', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[0, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[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: 13553279
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 49, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1.b1', 'kernel_order': 120, 'label': '1440.3398.2i', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[0, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[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: 13553281
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 50, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1.a1', 'kernel_order': 120, 'label': '1440.3398.2j', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 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]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]]]}
  • id: 13553282
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 51, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.b1', 'kernel_order': 48, 'label': '1440.3398.2k1', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[2, -2]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, -1]], [[2, -2]], [[-1, 2]], [[-1, -1]], [[2, 2]], [[-1, -2]], [[2, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -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]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 2]], [[-1, 1]], [[2, -1]], [[2, 1]], [[2, -2]], [[-1, -2]], [[2, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[-1, -2]], [[0, 0]], [[2, 2]], [[2, -1]], [[2, -2]], [[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]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[2, 1]], [[-1, -2]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 2]], [[0, 0]], [[-1, -1]], [[0, 0]], [[2, -2]], [[2, 1]], [[-1, 2]], [[-1, -1]], [[2, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[2, -1]], [[2, 2]], [[-1, 2]], [[2, -1]], [[-1, -2]], [[2, 2]], [[-1, -1]], [[2, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 13553283
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  • id: 13553284
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 53, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.b1', 'kernel_order': 48, 'label': '1440.3398.2k3', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, 2]], [[2, -1]], [[-1, 1]], [[-1, 2]], [[2, 1]], [[-1, -1]], [[2, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 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]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, -2]], [[2, 2]], [[2, -2]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[-1, -1]], [[0, 0]], [[2, 1]], [[2, 2]], [[2, -1]], [[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]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -2]], [[-1, -1]], [[0, 0]], [[0, 0]], [[-1, -2]], [[-1, 1]], [[0, 0]], [[-1, 2]], [[0, 0]], [[2, -1]], [[2, -2]], [[-1, 1]], [[-1, 2]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[2, 2]], [[2, 1]], [[-1, 1]], [[2, 2]], [[-1, -1]], [[2, 1]], [[-1, 2]], [[2, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]]]}
  • id: 13553285
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 54, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.b1', 'kernel_order': 48, 'label': '1440.3398.2k4', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, -2]], [[2, 1]], [[-1, -1]], [[-1, -2]], [[2, -1]], [[-1, 1]], [[2, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -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]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 2]], [[2, -2]], [[2, 2]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[-1, 1]], [[0, 0]], [[2, -1]], [[2, -2]], [[2, 1]], [[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]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 2]], [[-1, 1]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, -1]], [[0, 0]], [[-1, -2]], [[0, 0]], [[2, 1]], [[2, 2]], [[-1, -1]], [[-1, -2]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[2, -2]], [[2, -1]], [[-1, -1]], [[2, -2]], [[-1, 1]], [[2, -1]], [[-1, -2]], [[2, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 2]]]}
  • id: 13553286
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 55, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 48, 'label': '1440.3398.2l1', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 2]], [[0, 0]], [[2, -2]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, -1]], [[-1, -2]], [[2, 2]], [[2, -1]], [[-1, 2]], [[2, -2]], [[-1, 1]], [[2, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -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]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, -1]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[2, -2]], [[-1, 2]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[0, 0]], [[-1, -1]], [[2, 2]], [[2, -1]], [[2, -2]], [[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]], [[2, 1]], [[2, -1]], [[2, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[2, -2]], [[-1, 2]], [[-1, 1]], [[0, 0]], [[-1, 2]], [[-1, 1]], [[0, 0]], [[0, 0]], [[-1, -2]], [[0, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[2, -1]], [[-1, -2]], [[2, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[2, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[2, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[2, 2]], [[-1, 1]], [[-1, -1]], [[2, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[2, 1]]]}
  • id: 13553287
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 56, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 48, 'label': '1440.3398.2l2', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -2]], [[0, 0]], [[2, 2]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 1]], [[-1, 2]], [[2, -2]], [[2, 1]], [[-1, -2]], [[2, 2]], [[-1, -1]], [[2, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 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]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 1]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -2]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[2, 2]], [[-1, -2]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[0, 0]], [[-1, 1]], [[2, -2]], [[2, 1]], [[2, 2]], [[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]], [[2, -1]], [[2, 1]], [[2, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[2, 2]], [[-1, -2]], [[-1, -1]], [[0, 0]], [[-1, -2]], [[-1, -1]], [[0, 0]], [[0, 0]], [[-1, 2]], [[0, 0]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[2, 1]], [[-1, 2]], [[2, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[2, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[2, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[2, -2]], [[-1, -1]], [[-1, 1]], [[2, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[2, -1]]]}
  • id: 13553288
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 57, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 48, 'label': '1440.3398.2l3', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 1]], [[0, 0]], [[2, -1]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 2]], [[-1, -1]], [[2, 1]], [[2, 2]], [[-1, 1]], [[2, -1]], [[-1, -2]], [[2, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 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]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 2]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[2, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[2, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[0, 0]], [[-1, 2]], [[2, 1]], [[2, 2]], [[2, -1]], [[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]], [[2, -2]], [[2, 2]], [[2, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, -2]], [[0, 0]], [[-1, 1]], [[-1, -2]], [[0, 0]], [[0, 0]], [[-1, -1]], [[0, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[2, 2]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[2, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[2, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[2, 1]], [[-1, -2]], [[-1, 2]], [[2, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[2, -2]], [[2, -2]]]}
  • id: 13553289
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 58, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 48, 'label': '1440.3398.2l4', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -1]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, -2]], [[-1, 1]], [[2, -1]], [[2, -2]], [[-1, -1]], [[2, 1]], [[-1, 2]], [[2, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -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]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, -2]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[2, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[2, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[0, 0]], [[-1, -2]], [[2, -1]], [[2, -2]], [[2, 1]], [[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]], [[2, 2]], [[2, -2]], [[2, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 2]], [[0, 0]], [[-1, -1]], [[-1, 2]], [[0, 0]], [[0, 0]], [[-1, 1]], [[0, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[2, -2]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[2, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[2, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[2, -1]], [[-1, 2]], [[-1, -2]], [[2, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[2, 2]], [[2, 2]]]}
  • id: 13553290
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 59, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '32.42', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 45, 'label': '1440.3398.2m1', 'nt': [16, 44], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-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]], [[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]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-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]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]]]}
  • id: 13553292
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 60, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '32.42', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 45, 'label': '1440.3398.2m2', 'nt': [16, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-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]], [[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]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-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]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]]]}
  • id: 13553293
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 61, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '32.42', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 45, 'label': '1440.3398.2m3', 'nt': [16, 44], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-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]], [[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]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-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]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]]]}
  • id: 13553294
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 62, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '32.42', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 45, 'label': '1440.3398.2m4', 'nt': [16, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-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]], [[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]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-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]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]]]}
  • id: 13553295
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 360, 'counter': 63, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.a1', 'kernel_order': 36, 'label': '1440.3398.2n1', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[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, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -2]], [[2, 2]], [[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]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[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, 1]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, -2]], [[2, 2]], [[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]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -2]], [[-2, 2]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13553296
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 360, 'counter': 64, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.a1', 'kernel_order': 36, 'label': '1440.3398.2n2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[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, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 2]], [[2, -2]], [[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]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[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, -1]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, 2]], [[2, -2]], [[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]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, 2]], [[-2, -2]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13553297
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 360, 'counter': 65, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.a1', 'kernel_order': 36, 'label': '1440.3398.2n3', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[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, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -1]], [[2, 1]], [[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]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, -1]], [[2, 1]], [[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]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 13553298
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  • id: 13553299
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  • id: 13553300
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  • id: 13553301
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  • id: 13553303
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  • id: 13553304
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  • id: 13553305
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 72, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.b1', 'kernel_order': 24, 'label': '1440.3398.2p2', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -2]], [[0, 0]], [[-2, 2]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 1]], [[-1, 2]], [[2, -2]], [[2, 1]], [[-1, -2]], [[2, 2]], [[-1, -1]], [[2, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 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]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -2]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[2, 2]], [[-1, -2]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2]], [[0, 0]], [[1, 1]], [[2, -2]], [[2, 1]], [[2, 2]], [[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]], [[2, -1]], [[2, 1]], [[2, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[2, 2]], [[-1, -2]], [[-1, -1]], [[0, 0]], [[1, -2]], [[1, -1]], [[0, 0]], [[0, 0]], [[1, 2]], [[0, 0]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[2, 1]], [[-1, 2]], [[2, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[2, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[2, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[2, -2]], [[-1, -1]], [[-1, 1]], [[2, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[2, -1]]]}
  • id: 13553306
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 73, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.b1', 'kernel_order': 24, 'label': '1440.3398.2p3', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, 1]], [[0, 0]], [[-2, -1]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 2]], [[-1, -1]], [[2, 1]], [[2, 2]], [[-1, 1]], [[2, -1]], [[-1, -2]], [[2, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 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]], [[-2, 1]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[2, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[2, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[0, 0]], [[1, 2]], [[2, 1]], [[2, 2]], [[2, -1]], [[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]], [[2, -2]], [[2, 2]], [[2, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, -2]], [[0, 0]], [[1, 1]], [[1, -2]], [[0, 0]], [[0, 0]], [[1, -1]], [[0, 0]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[2, 2]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[2, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[2, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[2, 1]], [[-1, -2]], [[-1, 2]], [[2, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[2, -2]], [[2, -2]]]}
  • id: 13553307
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 74, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.b1', 'kernel_order': 24, 'label': '1440.3398.2p4', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, -1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, -2]], [[-1, 1]], [[2, -1]], [[2, -2]], [[-1, -1]], [[2, 1]], [[-1, 2]], [[2, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -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]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[2, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[2, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[0, 0]], [[1, -2]], [[2, -1]], [[2, -2]], [[2, 1]], [[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]], [[2, 2]], [[2, -2]], [[2, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 2]], [[0, 0]], [[1, -1]], [[1, 2]], [[0, 0]], [[0, 0]], [[1, 1]], [[0, 0]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[2, -2]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[2, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[2, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[2, -1]], [[-1, 2]], [[-1, -2]], [[2, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[2, 2]], [[2, 2]]]}
  • id: 13553308
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 75, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 24, 'label': '1440.3398.2q1', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 2]], [[0, 0]], [[-2, -2]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, -1]], [[-1, -2]], [[2, 2]], [[2, -1]], [[-1, 2]], [[2, -2]], [[-1, 1]], [[2, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -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]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, -1]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 2]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[2, -2]], [[-1, 2]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[0, 0]], [[1, -1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-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]], [[2, 1]], [[2, -1]], [[2, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[2, -2]], [[-1, 2]], [[-1, 1]], [[0, 0]], [[-1, 2]], [[-1, 1]], [[0, 0]], [[0, 0]], [[-1, -2]], [[0, 0]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-2, -1]], [[1, -2]], [[-2, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-2, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-2, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[-2, 2]], [[1, 1]], [[1, -1]], [[-2, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[-2, 1]]]}
  • id: 13553309
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  • id: 13553310
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 77, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 24, 'label': '1440.3398.2q3', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, 1]], [[0, 0]], [[-2, -1]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 2]], [[-1, -1]], [[2, 1]], [[2, 2]], [[-1, 1]], [[2, -1]], [[-1, -2]], [[2, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 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]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 2]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 1]], [[2, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[2, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[0, 0]], [[1, 2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-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]], [[2, -2]], [[2, 2]], [[2, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, -2]], [[0, 0]], [[-1, 1]], [[-1, -2]], [[0, 0]], [[0, 0]], [[-1, -1]], [[0, 0]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-2, 2]], [[1, -1]], [[-2, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-2, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-2, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[-2, 1]], [[1, -2]], [[1, 2]], [[-2, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[-2, -2]], [[-2, -2]]]}
  • id: 13553311
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 78, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 24, 'label': '1440.3398.2q4', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, -1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, -2]], [[-1, 1]], [[2, -1]], [[2, -2]], [[-1, -1]], [[2, 1]], [[-1, 2]], [[2, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -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]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, -2]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, -1]], [[2, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[2, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[0, 0]], [[1, -2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-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]], [[2, 2]], [[2, -2]], [[2, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 2]], [[0, 0]], [[-1, -1]], [[-1, 2]], [[0, 0]], [[0, 0]], [[-1, 1]], [[0, 0]], [[-1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-2, -2]], [[1, 1]], [[-2, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-2, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-2, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[-2, -1]], [[1, 2]], [[1, -2]], [[-2, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[-2, 2]], [[-2, 2]]]}
  • id: 13553312
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 79, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 24, 'label': '1440.3398.2r1', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[-2, 1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[-2, -2]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[2, -1]], [[2, -2]], [[-1, 2]], [[-1, -1]], [[2, 2]], [[-1, -2]], [[2, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -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]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 2]], [[-1, 1]], [[2, -1]], [[2, 1]], [[2, -2]], [[-1, -2]], [[2, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[0, 0]], [[1, -2]], [[0, 0]], [[2, 2]], [[2, -1]], [[2, -2]], [[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]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[2, 1]], [[1, -2]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 2]], [[0, 0]], [[1, -1]], [[0, 0]], [[2, -2]], [[2, 1]], [[-1, 2]], [[-1, -1]], [[2, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[2, -1]], [[2, 2]], [[-1, 2]], [[2, -1]], [[-1, -2]], [[2, 2]], [[-1, -1]], [[2, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 13553314
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 80, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 24, 'label': '1440.3398.2r2', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[-2, -1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[2, 1]], [[2, 2]], [[-1, -2]], [[-1, 1]], [[2, -2]], [[-1, 2]], [[2, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 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]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, -2]], [[-1, -1]], [[2, 1]], [[2, -1]], [[2, 2]], [[-1, 2]], [[2, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[0, 0]], [[1, 2]], [[0, 0]], [[2, -2]], [[2, 1]], [[2, 2]], [[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]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[2, -1]], [[1, 2]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, -2]], [[0, 0]], [[1, 1]], [[0, 0]], [[2, 2]], [[2, -1]], [[-1, -2]], [[-1, 1]], [[2, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[2, 1]], [[2, -2]], [[-1, -2]], [[2, 1]], [[-1, 2]], [[2, -2]], [[-1, 1]], [[2, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 13553315
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 81, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 24, 'label': '1440.3398.2r3', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[-2, -2]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[2, 2]], [[2, -1]], [[-1, 1]], [[-1, 2]], [[2, 1]], [[-1, -1]], [[2, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 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]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, -2]], [[2, 2]], [[2, -2]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[0, 0]], [[1, -1]], [[0, 0]], [[2, 1]], [[2, 2]], [[2, -1]], [[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]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -2]], [[1, -1]], [[0, 0]], [[0, 0]], [[1, -2]], [[1, 1]], [[0, 0]], [[1, 2]], [[0, 0]], [[2, -1]], [[2, -2]], [[-1, 1]], [[-1, 2]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[2, 2]], [[2, 1]], [[-1, 1]], [[2, 2]], [[-1, -1]], [[2, 1]], [[-1, 2]], [[2, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]]]}
  • id: 13553316
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 82, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 24, 'label': '1440.3398.2r4', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[-2, 2]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[2, -2]], [[2, 1]], [[-1, -1]], [[-1, -2]], [[2, -1]], [[-1, 1]], [[2, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -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]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 2]], [[2, -2]], [[2, 2]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[0, 0]], [[1, 1]], [[0, 0]], [[2, -1]], [[2, -2]], [[2, 1]], [[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]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 2]], [[1, 1]], [[0, 0]], [[0, 0]], [[1, 2]], [[1, -1]], [[0, 0]], [[1, -2]], [[0, 0]], [[2, 1]], [[2, 2]], [[-1, -1]], [[-1, -2]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[2, -2]], [[2, -1]], [[-1, -1]], [[2, -2]], [[-1, 1]], [[2, -1]], [[-1, -2]], [[2, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 2]]]}
  • id: 13553317
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 83, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 24, 'label': '1440.3398.2s1', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[-2, 1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[-2, -2]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, -1]], [[2, -2]], [[-1, 2]], [[-1, -1]], [[2, 2]], [[-1, -2]], [[2, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -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]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 2]], [[-1, 1]], [[2, -1]], [[2, 1]], [[2, -2]], [[-1, -2]], [[2, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[0, 0]], [[1, -2]], [[0, 0]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-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]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[2, 1]], [[-1, -2]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 2]], [[0, 0]], [[-1, -1]], [[0, 0]], [[-2, -2]], [[-2, 1]], [[1, 2]], [[1, -1]], [[-2, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[-2, -1]], [[-2, 2]], [[1, 2]], [[-2, -1]], [[1, -2]], [[-2, 2]], [[1, -1]], [[-2, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 13553318
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 84, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 24, 'label': '1440.3398.2s2', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[-2, -1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, 1]], [[2, 2]], [[-1, -2]], [[-1, 1]], [[2, -2]], [[-1, 2]], [[2, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 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]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, -2]], [[-1, -1]], [[2, 1]], [[2, -1]], [[2, 2]], [[-1, 2]], [[2, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[0, 0]], [[1, 2]], [[0, 0]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-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]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[2, -1]], [[-1, 2]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, -2]], [[0, 0]], [[-1, 1]], [[0, 0]], [[-2, 2]], [[-2, -1]], [[1, -2]], [[1, 1]], [[-2, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[-2, 1]], [[-2, -2]], [[1, -2]], [[-2, 1]], [[1, 2]], [[-2, -2]], [[1, 1]], [[-2, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 13553319
    {'center': '6.a1.b1', 'center_index': 6, 'center_order': 240, 'counter': 85, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 24, 'label': '1440.3398.2s3', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[-2, -2]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, 2]], [[2, -1]], [[-1, 1]], [[-1, 2]], [[2, 1]], [[-1, -1]], [[2, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 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]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 1]], [[-1, -2]], [[2, 2]], [[2, -2]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[0, 0]], [[1, -1]], [[0, 0]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-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]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -2]], [[-1, -1]], [[0, 0]], [[0, 0]], [[-1, -2]], [[-1, 1]], [[0, 0]], [[-1, 2]], [[0, 0]], [[-2, -1]], [[-2, -2]], [[1, 1]], [[1, 2]], [[-2, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[-2, 2]], [[-2, 1]], [[1, 1]], [[-2, 2]], [[1, -1]], [[-2, 1]], [[1, 2]], [[-2, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]]]}
  • id: 13553320
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  • id: 13553321
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  • id: 13553322
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  • id: 13553323
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  • id: 13553325
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  • id: 13553326
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  • id: 13553327
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 92, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 24, 'label': '1440.3398.2u2', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -2]], [[0, 0]], [[2, 2]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 1]], [[-1, 2]], [[2, -2]], [[2, 1]], [[-1, -2]], [[2, 2]], [[-1, -1]], [[2, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 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]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, -2]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[2, 2]], [[-1, -2]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[0, 0]], [[-1, 1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-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]], [[2, -1]], [[2, 1]], [[2, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[2, 2]], [[-1, -2]], [[-1, -1]], [[0, 0]], [[1, -2]], [[1, -1]], [[0, 0]], [[0, 0]], [[1, 2]], [[0, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-2, 1]], [[1, 2]], [[-2, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-2, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-2, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[-2, -2]], [[1, -1]], [[1, 1]], [[-2, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[-2, -1]]]}
  • id: 13553328
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  • id: 13553329
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 240, 'counter': 94, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 24, 'label': '1440.3398.2u4', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -1]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, -2]], [[-1, 1]], [[2, -1]], [[2, -2]], [[-1, -1]], [[2, 1]], [[-1, 2]], [[2, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -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]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, -1]], [[2, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[2, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[0, 0]], [[-1, -2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-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]], [[2, 2]], [[2, -2]], [[2, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 2]], [[0, 0]], [[1, -1]], [[1, 2]], [[0, 0]], [[0, 0]], [[1, 1]], [[0, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-2, -2]], [[1, 1]], [[-2, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-2, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-2, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[-2, -1]], [[1, 2]], [[1, -2]], [[-2, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[-2, 2]], [[-2, 2]]]}
  • id: 13553330
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  • id: 13553161
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 104, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '160.196', 'image_order': 160, 'indicator': 0, 'kernel': '160.a1.a1', 'kernel_order': 9, 'label': '1440.3398.2v10', 'nt': [80, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 10]], [[-2, 10]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 12]], [[2, 16]], [[-2, 4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[2, 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]], [[-2, 4]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[-2, 12]], [[2, 8]], [[2, 16]], [[2, 16]], [[-2, 12]], [[2, 8]], [[2, 16]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 2]], [[-2, 14]], [[-2, 18]], [[2, 6]], [[2, 14]], [[2, 2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[2, 12]], [[-2, 16]], [[2, 4]], [[-2, 16]], [[-2, 8]], [[-2, 8]], [[2, 12]], [[2, 4]], [[2, 4]], [[-2, 16]], [[2, 12]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 11]], [[-1, 3], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [-1, 9], [1, 13]], [[1, 3], [1, 13]], [[-1, 3], [1, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]]]}
  • id: 13553162
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 105, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '160.196', 'image_order': 160, 'indicator': 0, 'kernel': '160.a1.a1', 'kernel_order': 9, 'label': '1440.3398.2v11', 'nt': [80, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 10]], [[2, 10]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[2, 4]], [[-2, 16]], [[2, 12]], [[-2, 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]], [[2, 16]], [[-2, 12]], [[2, 8]], [[2, 16]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 18]], [[2, 6]], [[2, 2]], [[-2, 14]], [[-2, 6]], [[-2, 18]], [[2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-2, 8]], [[2, 4]], [[-2, 16]], [[2, 4]], [[2, 12]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [1, 11]], [[-1, 3], [1, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [1, 9], [-1, 13]], [[1, 3], [1, 13]], [[-1, 1], [1, 5], [1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 11]], [[-1, 3], [-1, 13]], [[1, 3], [-1, 7], [1, 9], [1, 11], [-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]]]}
  • id: 13553163
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  • id: 13553164
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  • id: 13553165
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  • id: 13553166
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  • id: 13553168
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 110, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '160.196', 'image_order': 160, 'indicator': 0, 'kernel': '160.a1.a1', 'kernel_order': 9, 'label': '1440.3398.2v16', 'nt': [80, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 10]], [[-2, 10]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[2, 4]], [[-2, 16]], [[2, 12]], [[-2, 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]], [[2, 16]], [[-2, 12]], [[2, 8]], [[2, 16]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 18]], [[-2, 6]], [[-2, 2]], [[2, 14]], [[2, 6]], [[2, 18]], [[-2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-2, 8]], [[2, 4]], [[-2, 16]], [[2, 4]], [[2, 12]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[-1, 1], [1, 11]], [[-1, 3], [1, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [1, 9], [-1, 13]], [[1, 3], [1, 13]], [[-1, 1], [1, 5], [1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 11]], [[-1, 3], [-1, 13]], [[1, 3], [-1, 7], [1, 9], [1, 11], [-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]]]}
  • id: 13553331
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 96, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '160.196', 'image_order': 160, 'indicator': 0, 'kernel': '160.a1.a1', 'kernel_order': 9, 'label': '1440.3398.2v2', 'nt': [80, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 10]], [[-2, 10]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 4]], [[-2, 12]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 14]], [[2, 18]], [[2, 6]], [[-2, 2]], [[-2, 18]], [[-2, 14]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[2, 4]], [[2, 12]], [[-2, 8]], [[2, 12]], [[-2, 16]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 12]], [[2, 4]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 11]], [[1, 3], [-1, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 11]], [[1, 3], [1, 13]], [[-1, 3], [1, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [1, 9], [-1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[-1, 3], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]]]}
  • id: 13553332
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 97, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '160.196', 'image_order': 160, 'indicator': 0, 'kernel': '160.a1.a1', 'kernel_order': 9, 'label': '1440.3398.2v3', 'nt': [80, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 10]], [[2, 10]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 16]], [[2, 8]], [[-2, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-2, 8]], [[2, 12]], [[2, 4]], [[-2, 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]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[2, 16]], [[-2, 4]], [[2, 8]], [[2, 8]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14]], [[-2, 6]], [[-2, 2]], [[-2, 14]], [[2, 18]], [[2, 2]], [[2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-2, 16]], [[-2, 8]], [[2, 12]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 16]], [[2, 12]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [-1, 7], [1, 9], [-1, 13]], [[1, 3], [1, 13]], [[-1, 3], [1, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 11]], [[1, 3], [-1, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 11]], [[-1, 3], [-1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 13]]]}
  • id: 13553333
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 98, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '160.196', 'image_order': 160, 'indicator': 0, 'kernel': '160.a1.a1', 'kernel_order': 9, 'label': '1440.3398.2v4', 'nt': [80, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 10]], [[-2, 10]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 4]], [[-2, 12]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 14]], [[2, 18]], [[2, 6]], [[-2, 2]], [[-2, 18]], [[-2, 14]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[2, 4]], [[2, 12]], [[-2, 8]], [[2, 12]], [[-2, 16]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 12]], [[2, 4]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 11]], [[-1, 3], [1, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 11]], [[-1, 3], [-1, 13]], [[1, 3], [-1, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [-1, 9], [1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]]]}
  • id: 13553334
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 99, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '160.196', 'image_order': 160, 'indicator': 0, 'kernel': '160.a1.a1', 'kernel_order': 9, 'label': '1440.3398.2v5', 'nt': [80, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 10]], [[2, 10]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 4]], [[-2, 12]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 14]], [[-2, 18]], [[-2, 6]], [[2, 2]], [[2, 18]], [[2, 14]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[2, 4]], [[2, 12]], [[-2, 8]], [[2, 12]], [[-2, 16]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 12]], [[2, 4]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 11]], [[1, 3], [-1, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 11]], [[1, 3], [1, 13]], [[-1, 3], [1, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [1, 9], [-1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]]]}
  • id: 13553157
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  • id: 13553158
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 101, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '160.196', 'image_order': 160, 'indicator': 0, 'kernel': '160.a1.a1', 'kernel_order': 9, 'label': '1440.3398.2v7', 'nt': [80, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 10]], [[2, 10]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 4]], [[-2, 12]], [[2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 14]], [[-2, 18]], [[-2, 6]], [[2, 2]], [[2, 18]], [[2, 14]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[2, 4]], [[2, 12]], [[-2, 8]], [[2, 12]], [[-2, 16]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 12]], [[2, 4]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 11]], [[-1, 3], [1, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 11]], [[-1, 3], [-1, 13]], [[1, 3], [-1, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [-1, 9], [1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[-1, 3], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]]]}
  • id: 13553159
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 180, 'counter': 102, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '160.196', 'image_order': 160, 'indicator': 0, 'kernel': '160.a1.a1', 'kernel_order': 9, 'label': '1440.3398.2v8', 'nt': [80, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 10]], [[-2, 10]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 16]], [[2, 8]], [[-2, 12]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-2, 8]], [[2, 12]], [[2, 4]], [[-2, 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]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[2, 16]], [[-2, 4]], [[2, 8]], [[2, 8]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14]], [[2, 6]], [[2, 2]], [[2, 14]], [[-2, 18]], [[-2, 2]], [[-2, 6]], [[2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-2, 16]], [[-2, 8]], [[2, 12]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 16]], [[2, 12]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [-1, 7], [1, 9], [-1, 13]], [[1, 3], [1, 13]], [[-1, 3], [1, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 11]], [[1, 3], [-1, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 11]], [[-1, 3], [-1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]]]}
  • id: 13553160
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  • id: 13553169
    {'center': '36.a1.a1', 'center_index': 36, 'center_order': 40, 'counter': 111, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '36.10', 'image_order': 36, 'indicator': 1, 'kernel': '36.a1.a1', 'kernel_order': 40, 'label': '1440.3398.4a', 'nt': [6, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 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]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]]]}
  • id: 13553170
    {'center': '24.a1.b1', 'center_index': 24, 'center_order': 60, 'counter': 112, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '48.38', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1.b1', 'kernel_order': 30, 'label': '1440.3398.4b', 'nt': [12, 28], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 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]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 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]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13553171
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  • id: 13553172
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  • id: 13553173
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  • id: 13553174
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 20, 'counter': 116, 'cyclotomic_n': 4, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '144.145', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1.a1', 'kernel_order': 10, 'label': '1440.3398.4e2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]], [[3, 1]], [[-3, 1]], [[3, 1]], [[-3, 1]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, 1]], [[3, 1]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[-3, 1]], [[0, 0]], [[3, 1]], [[0, 0]], [[-3, 1]], [[3, 1]], [[3, 1]], [[0, 0]], [[-3, 1]], [[3, 1]], [[0, 0]], [[-3, 1]], [[3, 1]], [[3, 1]], [[0, 0]], [[0, 0]]]}
  • id: 13553175
    {'center': '48.a1.b1', 'center_index': 48, 'center_order': 30, 'counter': 117, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '96.123', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1.b1', 'kernel_order': 15, 'label': '1440.3398.4f1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 3]], [[2, 1], [2, 3]], [[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]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 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]], [[-1, 1], [-1, 3]], [[-2, 1], [-2, 3]], [[2, 1], [2, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 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]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-2, 1], [-2, 3]], [[1, 1], [1, 3]], [[2, 1], [2, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-2, 1], [-2, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[2, 1], [2, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[2, 1], [2, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-2, 1], [-2, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[2, 1], [2, 3]], [[-2, 1], [-2, 3]]]}
  • id: 13553176
    {'center': '48.a1.b1', 'center_index': 48, 'center_order': 30, 'counter': 118, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '96.123', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1.b1', 'kernel_order': 15, 'label': '1440.3398.4f2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 3]], [[-2, 1], [-2, 3]], [[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]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 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]], [[1, 1], [1, 3]], [[2, 1], [2, 3]], [[-2, 1], [-2, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 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]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[2, 1], [2, 3]], [[-1, 1], [-1, 3]], [[-2, 1], [-2, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[2, 1], [2, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-2, 1], [-2, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-2, 1], [-2, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[2, 1], [2, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-2, 1], [-2, 3]], [[2, 1], [2, 3]]]}
  • id: 13553177
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 30, 'counter': 119, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '96.123', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1.a1', 'kernel_order': 15, 'label': '1440.3398.4g1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 3]], [[2, 1], [2, 3]], [[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]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 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]], [[2, 1], [2, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-2, 1], [-2, 3]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[-4, 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]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-2, 1], [-2, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-2, 1], [-2, 3]], [[2, 1], [2, 3]], [[1, 1], [1, 3]], [[2, 1], [2, 3]], [[1, 1], [1, 3]], [[-2, 1], [-2, 3]], [[1, 1], [1, 3]], [[2, 1], [2, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]]]}
  • id: 13553179
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 30, 'counter': 120, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '96.123', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1.a1', 'kernel_order': 15, 'label': '1440.3398.4g2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 3]], [[-2, 1], [-2, 3]], [[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]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 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]], [[-2, 1], [-2, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[2, 1], [2, 3]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[-4, 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]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[2, 1], [2, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[2, 1], [2, 3]], [[-2, 1], [-2, 3]], [[-1, 1], [-1, 3]], [[-2, 1], [-2, 3]], [[-1, 1], [-1, 3]], [[2, 1], [2, 3]], [[-1, 1], [-1, 3]], [[-2, 1], [-2, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]]]}
  • id: 13553180
    {'center': '36.a1.a1', 'center_index': 36, 'center_order': 40, 'counter': 121, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '180.28', 'image_order': 180, 'indicator': 0, 'kernel': '180.a1.a1', 'kernel_order': 8, 'label': '1440.3398.4h1', 'nt': [30, 41], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -2]], [[4, 2]], [[4, 1]], [[4, -1]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[4, -2]], [[4, 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]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[4, -1]], [[4, 1]], [[4, 2]], [[4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 2]], [[4, -1]], [[4, -2]], [[4, 1]], [[4, -1]], [[4, 1]], [[4, -2]], [[4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[1, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-2, -2]], [[1, 2]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, 1]], [[1, 2]], [[-2, -1]], [[-2, -2]], [[-2, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[-2, -1]], [[-2, 2]], [[-2, 2]], [[-2, -1]], [[1, -2]], [[-2, 2]], [[1, -1]], [[-2, 1]], [[1, -2]], [[-2, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[-2, 2]], [[1, 1]], [[1, -1]], [[-2, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[-2, 1]]]}
  • id: 13553181
    {'center': '36.a1.a1', 'center_index': 36, 'center_order': 40, 'counter': 122, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '180.28', 'image_order': 180, 'indicator': 0, 'kernel': '180.a1.a1', 'kernel_order': 8, 'label': '1440.3398.4h2', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 2]], [[4, -2]], [[4, -1]], [[4, 1]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[4, 2]], [[4, -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]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[4, 1]], [[4, -1]], [[4, -2]], [[4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -2]], [[4, 1]], [[4, 2]], [[4, -1]], [[4, 1]], [[4, -1]], [[4, 2]], [[4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[1, -1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-2, 2]], [[1, -2]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, -1]], [[1, -2]], [[-2, 1]], [[-2, 2]], [[-2, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[-2, 1]], [[-2, -2]], [[-2, -2]], [[-2, 1]], [[1, 2]], [[-2, -2]], [[1, 1]], [[-2, -1]], [[1, 2]], [[-2, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[-2, -2]], [[1, -1]], [[1, 1]], [[-2, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[-2, -1]]]}
  • id: 13553182
    {'center': '36.a1.a1', 'center_index': 36, 'center_order': 40, 'counter': 123, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '180.28', 'image_order': 180, 'indicator': 0, 'kernel': '180.a1.a1', 'kernel_order': 8, 'label': '1440.3398.4h3', 'nt': [30, 41], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[4, -2]], [[4, 2]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, -2]], [[4, 2]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[4, 2]], [[4, -2]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, 2]], [[4, -1]], [[4, -2]], [[4, 2]], [[4, -2]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[1, -2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -2]], [[1, 1]], [[-2, 2]], [[-2, -1]], [[-2, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[-2, 2]], [[-2, 1]], [[-2, 1]], [[-2, 2]], [[1, -1]], [[-2, 1]], [[1, 2]], [[-2, -2]], [[1, -1]], [[-2, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[-2, 1]], [[1, -2]], [[1, 2]], [[-2, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[-2, -2]], [[-2, -2]]]}
  • id: 13553183
    {'center': '36.a1.a1', 'center_index': 36, 'center_order': 40, 'counter': 124, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '180.28', 'image_order': 180, 'indicator': 0, 'kernel': '180.a1.a1', 'kernel_order': 8, 'label': '1440.3398.4h4', 'nt': [30, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[4, 2]], [[4, -2]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 2]], [[4, -2]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[4, -2]], [[4, 2]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, -2]], [[4, 1]], [[4, 2]], [[4, -2]], [[4, 2]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[1, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 2]], [[1, -1]], [[-2, -2]], [[-2, 1]], [[-2, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[-2, -2]], [[-2, -1]], [[-2, -1]], [[-2, -2]], [[1, 1]], [[-2, -1]], [[1, -2]], [[-2, 2]], [[1, 1]], [[-2, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[-2, -1]], [[1, 2]], [[1, -2]], [[-2, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[-2, 2]], [[-2, 2]]]}
  • id: 13553184
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  • id: 13553185
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  • id: 13553186
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  • id: 13553187
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  • id: 13553188
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  • id: 13553190
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  • id: 13553191
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  • id: 13553192
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  • id: 13553193
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  • id: 13553194
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  • id: 13553195
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  • id: 13553196
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  • id: 13553197
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 60, 'counter': 137, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '240.169', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1.a1', 'kernel_order': 6, 'label': '1440.3398.4l1', 'nt': [60, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -2]], [[4, 2]], [[4, 1]], [[4, -1]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[4, -2]], [[4, 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]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, -2]], [[-2, 2]], [[-2, -1]], [[4, 2]], [[-2, -2]], [[4, 1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-4, -1]], [[-4, 1]], [[-4, 2]], [[-4, -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]], [[-2, 2]], [[-2, 1]], [[4, -1]], [[4, 1]], [[4, -2]], [[-2, -2]], [[4, 2]], [[-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]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, 1]], [[-4, 2]], [[-4, -1]], [[-4, -2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, -2]], [[2, 2]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 13553198
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 60, 'counter': 138, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '240.169', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1.a1', 'kernel_order': 6, 'label': '1440.3398.4l2', 'nt': [60, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 2]], [[4, -2]], [[4, -1]], [[4, 1]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[4, 2]], [[4, -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]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, 2]], [[-2, -2]], [[-2, 1]], [[4, -2]], [[-2, 2]], [[4, -1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-4, 1]], [[-4, -1]], [[-4, -2]], [[-4, 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]], [[-2, -2]], [[-2, -1]], [[4, 1]], [[4, -1]], [[4, 2]], [[-2, 2]], [[4, -2]], [[-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]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, -1]], [[-4, -2]], [[-4, 1]], [[-4, 2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, 2]], [[2, -2]], [[-4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 13553199
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 60, 'counter': 139, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '240.169', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1.a1', 'kernel_order': 6, 'label': '1440.3398.4l3', 'nt': [60, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[4, -2]], [[4, 2]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -2]], [[4, 2]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 2]], [[4, -1]], [[-2, 1]], [[-2, 2]], [[4, 1]], [[-2, -1]], [[4, -2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-4, 2]], [[-4, -2]], [[-4, 1]], [[-4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -2]], [[4, 2]], [[4, -2]], [[4, -1]], [[-2, -1]], [[4, 1]], [[-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]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -2]], [[-4, 1]], [[-4, 2]], [[-4, -1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13553201
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 60, 'counter': 140, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '240.169', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1.a1', 'kernel_order': 6, 'label': '1440.3398.4l4', 'nt': [60, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[4, 2]], [[4, -2]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 2]], [[4, -2]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, -2]], [[4, 1]], [[-2, -1]], [[-2, -2]], [[4, -1]], [[-2, 1]], [[4, 2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-4, -2]], [[-4, 2]], [[-4, -1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2]], [[4, -2]], [[4, 2]], [[4, 1]], [[-2, 1]], [[4, -1]], [[-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]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 2]], [[-4, -1]], [[-4, -2]], [[-4, 1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13553202
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  • id: 13553203
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  • id: 13553204
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 20, 'counter': 143, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '720.651', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.3398.4m3', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 2]], [[4, 8]], [[4, 4]], [[-4, 6]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 6]], [[-4, 2]], [[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]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 2]], [[-2, 8]], [[2, 6]], [[-2, 8]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[4, 6]], [[-4, 4]], [[-4, 8]], [[4, 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]], [[3, 5]], [[-3, 5]], [[3, 5]], [[-3, 5]], [[0, 0]], [[-2, 8]], [[-2, 4]], [[2, 6]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 8]], [[2, 6]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 6]], [[2, 8]], [[-1, 4]], [[2, 8]], [[-2, 6]], [[-2, 2]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 8]], [[-2, 2]], [[-1, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 3]], [[-3, 9]], [[-3, 7]], [[3, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 7]], [[0, 0]], [[-3, 1]], [[0, 0]], [[-3, 7]], [[0, 0]], [[3, 3]], [[3, 9]], [[-3, 3]], [[0, 0]], [[-3, 9]], [[3, 1]], [[0, 0]], [[-3, 1]], [[3, 9]], [[3, 1]], [[0, 0]], [[0, 0]]]}
  • id: 13553205
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 20, 'counter': 144, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '720.651', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.3398.4m4', 'nt': [120, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 2]], [[-4, 6]], [[4, 4]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 6]], [[4, 4]], [[4, 8]], [[-4, 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]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 8]], [[2, 2]], [[-2, 4]], [[2, 2]], [[-2, 8]], [[2, 6]], [[2, 6]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-4, 4]], [[4, 6]], [[4, 2]], [[-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]], [[-3, 5]], [[3, 5]], [[-3, 5]], [[3, 5]], [[0, 0]], [[2, 2]], [[2, 6]], [[-2, 4]], [[2, 6]], [[-2, 8]], [[-2, 8]], [[2, 2]], [[-2, 4]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 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]], [[-2, 6]], [[2, 4]], [[-2, 2]], [[1, 6]], [[-2, 2]], [[2, 4]], [[2, 8]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[2, 8]], [[1, 2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 7]], [[3, 1]], [[3, 3]], [[-3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 3]], [[0, 0]], [[3, 9]], [[0, 0]], [[3, 3]], [[0, 0]], [[-3, 7]], [[-3, 1]], [[3, 7]], [[0, 0]], [[3, 1]], [[-3, 9]], [[0, 0]], [[3, 9]], [[-3, 1]], [[-3, 9]], [[0, 0]], [[0, 0]]]}
  • id: 13553206
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 20, 'counter': 145, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '720.651', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.3398.4m5', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 6]], [[4, 4]], [[-4, 2]], [[4, 8]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 2]], [[4, 8]], [[-4, 6]], [[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]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 6]], [[-2, 4]], [[-2, 8]], [[-2, 4]], [[2, 6]], [[2, 2]], [[2, 2]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[-4, 8]], [[4, 2]], [[-4, 4]], [[4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 5]], [[3, 5]], [[-3, 5]], [[3, 5]], [[0, 0]], [[-2, 4]], [[2, 2]], [[-2, 8]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 4]], [[-2, 8]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 8]], [[2, 4]], [[1, 2]], [[2, 4]], [[2, 8]], [[-2, 6]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-2, 6]], [[-1, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 9]], [[-3, 7]], [[-3, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[-3, 3]], [[0, 0]], [[-3, 1]], [[0, 0]], [[3, 9]], [[3, 7]], [[-3, 9]], [[0, 0]], [[-3, 7]], [[3, 3]], [[0, 0]], [[-3, 3]], [[3, 7]], [[3, 3]], [[0, 0]], [[0, 0]]]}
  • id: 13553207
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 20, 'counter': 146, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '720.651', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.3398.4m6', 'nt': [120, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 6]], [[4, 8]], [[-4, 2]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 2]], [[4, 4]], [[-4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 4]], [[2, 6]], [[2, 2]], [[2, 6]], [[-2, 4]], [[-2, 8]], [[-2, 8]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 2]], [[4, 2]], [[-4, 8]], [[4, 6]], [[-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]], [[3, 5]], [[-3, 5]], [[3, 5]], [[-3, 5]], [[0, 0]], [[2, 6]], [[-2, 8]], [[2, 2]], [[-2, 8]], [[-2, 4]], [[-2, 4]], [[2, 6]], [[2, 2]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[-1, 8]], [[-2, 6]], [[-2, 2]], [[2, 4]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 6]], [[2, 4]], [[1, 6]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[3, 3]], [[3, 9]], [[-3, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 9]], [[0, 0]], [[3, 7]], [[0, 0]], [[3, 9]], [[0, 0]], [[-3, 1]], [[-3, 3]], [[3, 1]], [[0, 0]], [[3, 3]], [[-3, 7]], [[0, 0]], [[3, 7]], [[-3, 3]], [[-3, 7]], [[0, 0]], [[0, 0]]]}
  • id: 13553208
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 20, 'counter': 147, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '720.651', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.3398.4m7', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 6]], [[4, 4]], [[-4, 2]], [[4, 8]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 2]], [[4, 8]], [[-4, 6]], [[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]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 6]], [[-2, 4]], [[-2, 8]], [[-2, 4]], [[2, 6]], [[2, 2]], [[2, 2]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[-4, 8]], [[4, 2]], [[-4, 4]], [[4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 5]], [[-3, 5]], [[3, 5]], [[-3, 5]], [[0, 0]], [[-2, 4]], [[2, 2]], [[-2, 8]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 4]], [[-2, 8]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 8]], [[2, 4]], [[1, 2]], [[2, 4]], [[2, 8]], [[-2, 6]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-2, 6]], [[-1, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 9]], [[3, 7]], [[3, 1]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[3, 3]], [[0, 0]], [[3, 1]], [[0, 0]], [[-3, 9]], [[-3, 7]], [[3, 9]], [[0, 0]], [[3, 7]], [[-3, 3]], [[0, 0]], [[3, 3]], [[-3, 7]], [[-3, 3]], [[0, 0]], [[0, 0]]]}
  • id: 13553209
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 20, 'counter': 148, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '720.651', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.3398.4m8', 'nt': [120, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 6]], [[4, 8]], [[-4, 2]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 2]], [[4, 4]], [[-4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 4]], [[2, 6]], [[2, 2]], [[2, 6]], [[-2, 4]], [[-2, 8]], [[-2, 8]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 2]], [[4, 2]], [[-4, 8]], [[4, 6]], [[-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]], [[-3, 5]], [[3, 5]], [[-3, 5]], [[3, 5]], [[0, 0]], [[2, 6]], [[-2, 8]], [[2, 2]], [[-2, 8]], [[-2, 4]], [[-2, 4]], [[2, 6]], [[2, 2]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[-1, 8]], [[-2, 6]], [[-2, 2]], [[2, 4]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 6]], [[2, 4]], [[1, 6]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[-3, 3]], [[-3, 9]], [[3, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 9]], [[0, 0]], [[-3, 7]], [[0, 0]], [[-3, 9]], [[0, 0]], [[3, 1]], [[3, 3]], [[-3, 1]], [[0, 0]], [[-3, 3]], [[3, 7]], [[0, 0]], [[-3, 7]], [[3, 3]], [[3, 7]], [[0, 0]], [[0, 0]]]}
  • id: 13553210
    {'center': '48.a1.b1', 'center_index': 48, 'center_order': 30, 'counter': 149, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.b1', 'kernel_order': 3, 'label': '1440.3398.4n1', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 16]], [[4, 8]], [[-4, 12]], [[2, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[2, 12]], [[2, 4]], [[4, 16]], [[-4, 12]], [[-2, 16]], [[-4, 4]], [[-2, 8]], [[4, 8]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[2, 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]], [[-1, 5], [-1, 15]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-4, 16]], [[-4, 8]], [[-2, 12]], [[2, 8]], [[-2, 4]], [[4, 4]], [[2, 16]], [[4, 12]], [[-2, 12]], [[2, 8]], [[2, 16]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 11]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[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]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [1, 11]], [[2, 1], [2, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[-2, 1], [-2, 11]], [[1, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-2, 3], [2, 13]], [[2, 3], [-2, 13]]]}
  • id: 13553212
    {'center': '48.a1.b1', 'center_index': 48, 'center_order': 30, 'counter': 150, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.b1', 'kernel_order': 3, 'label': '1440.3398.4n2', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 16]], [[-4, 4]], [[-4, 12]], [[4, 8]], [[2, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[-2, 8]], [[-2, 16]], [[-4, 4]], [[4, 8]], [[2, 4]], [[4, 16]], [[2, 12]], [[-4, 12]], [[2, 4]], [[-2, 16]], [[2, 12]], [[-2, 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]], [[1, 5], [1, 15]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[4, 4]], [[4, 12]], [[2, 8]], [[-2, 12]], [[2, 16]], [[-4, 16]], [[-2, 4]], [[-4, 8]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[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, 13]], [[2, 1], [2, 11]], [[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]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-2, 3], [2, 13]], [[1, 1], [1, 11]], [[2, 1], [2, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[2, 3], [-2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[-2, 1], [-2, 11]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]]]}
  • id: 13553213
    {'center': '48.a1.b1', 'center_index': 48, 'center_order': 30, 'counter': 151, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.b1', 'kernel_order': 3, 'label': '1440.3398.4n3', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 16]], [[4, 8]], [[-4, 12]], [[2, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[2, 12]], [[2, 4]], [[4, 16]], [[-4, 12]], [[-2, 16]], [[-4, 4]], [[-2, 8]], [[4, 8]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[2, 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]], [[1, 5], [1, 15]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-4, 16]], [[-4, 8]], [[-2, 12]], [[2, 8]], [[-2, 4]], [[4, 4]], [[2, 16]], [[4, 12]], [[-2, 12]], [[2, 8]], [[2, 16]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 11]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-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]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[-2, 1], [-2, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[2, 1], [2, 11]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[2, 3], [-2, 13]], [[-2, 3], [2, 13]]]}
  • id: 13553214
    {'center': '48.a1.b1', 'center_index': 48, 'center_order': 30, 'counter': 152, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.b1', 'kernel_order': 3, 'label': '1440.3398.4n4', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 16]], [[-4, 4]], [[-4, 12]], [[4, 8]], [[2, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[-2, 8]], [[-2, 16]], [[-4, 4]], [[4, 8]], [[2, 4]], [[4, 16]], [[2, 12]], [[-4, 12]], [[2, 4]], [[-2, 16]], [[2, 12]], [[-2, 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]], [[-1, 5], [-1, 15]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[4, 4]], [[4, 12]], [[2, 8]], [[-2, 12]], [[2, 16]], [[-4, 16]], [[-2, 4]], [[-4, 8]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[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, 13]], [[-2, 1], [-2, 11]], [[-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]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[2, 3], [-2, 13]], [[-1, 1], [-1, 11]], [[-2, 1], [-2, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[-1, 3], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[-2, 3], [2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[2, 1], [2, 11]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]]]}
  • id: 13553215
    {'center': '48.a1.b1', 'center_index': 48, 'center_order': 30, 'counter': 153, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.b1', 'kernel_order': 3, 'label': '1440.3398.4n5', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 8]], [[-4, 4]], [[4, 16]], [[2, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[-2, 16]], [[2, 12]], [[4, 8]], [[4, 16]], [[-2, 8]], [[-4, 12]], [[2, 4]], [[-4, 4]], [[-2, 8]], [[2, 12]], [[2, 4]], [[-2, 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]], [[-1, 5], [-1, 15]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-4, 8]], [[4, 4]], [[2, 16]], [[-2, 4]], [[-2, 12]], [[4, 12]], [[2, 8]], [[-4, 16]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, 13]], [[2, 1], [2, 11]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-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, 5], [-2, 7], [-2, 9], [2, 13]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[2, 1], [2, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 13]], [[2, 3], [-2, 13]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-2, 1], [-2, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[-2, 3], [2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]]]}
  • id: 13553216
    {'center': '48.a1.b1', 'center_index': 48, 'center_order': 30, 'counter': 154, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.b1', 'kernel_order': 3, 'label': '1440.3398.4n6', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 12]], [[4, 16]], [[-4, 4]], [[2, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[2, 4]], [[-2, 8]], [[-4, 12]], [[-4, 4]], [[2, 12]], [[4, 8]], [[-2, 16]], [[4, 16]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[4, 12]], [[-4, 16]], [[-2, 4]], [[2, 16]], [[2, 8]], [[-4, 8]], [[-2, 12]], [[4, 4]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[2, 8]], [[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, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[2, 3], [-2, 13]], [[-2, 1], [-2, 11]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[1, 3], [-1, 13]], [[2, 3], [-2, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-2, 3], [2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[2, 1], [2, 11]], [[-2, 1], [-2, 11]]]}
  • id: 13553217
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  • id: 13553218
    {'center': '48.a1.b1', 'center_index': 48, 'center_order': 30, 'counter': 156, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.b1', 'kernel_order': 3, 'label': '1440.3398.4n8', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 12]], [[4, 16]], [[-4, 4]], [[2, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[2, 4]], [[-2, 8]], [[-4, 12]], [[-4, 4]], [[2, 12]], [[4, 8]], [[-2, 16]], [[4, 16]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[4, 12]], [[-4, 16]], [[-2, 4]], [[2, 16]], [[2, 8]], [[-4, 8]], [[-2, 12]], [[4, 4]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[2, 8]], [[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, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-2, 3], [2, 13]], [[2, 1], [2, 11]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-1, 3], [1, 13]], [[-2, 3], [2, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[2, 3], [-2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-2, 1], [-2, 11]], [[2, 1], [2, 11]]]}
  • id: 13553219
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 30, 'counter': 157, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 3, 'label': '1440.3398.4o1', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 16]], [[4, 8]], [[-4, 12]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[-4, 12]], [[-4, 4]], [[-2, 16]], [[2, 12]], [[4, 16]], [[2, 4]], [[4, 8]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[2, 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]], [[2, 5], [2, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-2, 5], [-2, 15]], [[2, 16]], [[2, 8]], [[4, 12]], [[-4, 8]], [[4, 4]], [[-2, 4]], [[-4, 16]], [[-2, 12]], [[-2, 12]], [[2, 8]], [[2, 16]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 11]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[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]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 13]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[-2, 1], [-2, 11]], [[-1, 1], [-1, 11]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[2, 1], [2, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-2, 3], [2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 13]]]}
  • id: 13553220
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 30, 'counter': 158, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 3, 'label': '1440.3398.4o2', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 16]], [[-4, 4]], [[-4, 12]], [[4, 8]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[4, 8]], [[4, 16]], [[2, 4]], [[-2, 8]], [[-4, 4]], [[-2, 16]], [[-4, 12]], [[2, 12]], [[2, 4]], [[-2, 16]], [[2, 12]], [[-2, 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]], [[-2, 5], [-2, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[2, 5], [2, 15]], [[-2, 4]], [[-2, 12]], [[-4, 8]], [[4, 12]], [[-4, 16]], [[2, 16]], [[4, 4]], [[2, 8]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[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, 13]], [[2, 1], [2, 11]], [[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]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 5], [2, 7], [2, 9], [-2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[-2, 1], [-2, 11]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[-2, 3], [2, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[2, 3], [-2, 13]], [[1, 1], [1, 11]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[1, 3], [-1, 13]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]]]}
  • id: 13553221
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 30, 'counter': 159, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 3, 'label': '1440.3398.4o3', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 16]], [[4, 8]], [[-4, 12]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[-4, 12]], [[-4, 4]], [[-2, 16]], [[2, 12]], [[4, 16]], [[2, 4]], [[4, 8]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[2, 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]], [[-2, 5], [-2, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[2, 5], [2, 15]], [[2, 16]], [[2, 8]], [[4, 12]], [[-4, 8]], [[4, 4]], [[-2, 4]], [[-4, 16]], [[-2, 12]], [[-2, 12]], [[2, 8]], [[2, 16]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 11]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-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]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 13]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[2, 1], [2, 11]], [[1, 1], [1, 11]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-2, 1], [-2, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[2, 3], [-2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]]]}
  • id: 13553223
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 30, 'counter': 160, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 3, 'label': '1440.3398.4o4', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 16]], [[-4, 4]], [[-4, 12]], [[4, 8]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[4, 8]], [[4, 16]], [[2, 4]], [[-2, 8]], [[-4, 4]], [[-2, 16]], [[-4, 12]], [[2, 12]], [[2, 4]], [[-2, 16]], [[2, 12]], [[-2, 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]], [[2, 5], [2, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-2, 5], [-2, 15]], [[-2, 4]], [[-2, 12]], [[-4, 8]], [[4, 12]], [[-4, 16]], [[2, 16]], [[4, 4]], [[2, 8]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[2, 16]], [[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, 13]], [[-2, 1], [-2, 11]], [[-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]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 5], [-2, 7], [-2, 9], [2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[2, 1], [2, 11]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[2, 3], [-2, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-2, 3], [2, 13]], [[-1, 1], [-1, 11]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-1, 3], [1, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]]]}
  • id: 13553224
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 30, 'counter': 161, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 3, 'label': '1440.3398.4o5', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 8]], [[-4, 4]], [[4, 16]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[4, 16]], [[-4, 12]], [[-2, 8]], [[-2, 16]], [[4, 8]], [[2, 12]], [[-4, 4]], [[2, 4]], [[-2, 8]], [[2, 12]], [[2, 4]], [[-2, 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]], [[2, 5], [2, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-2, 5], [-2, 15]], [[2, 8]], [[-2, 4]], [[-4, 16]], [[4, 4]], [[4, 12]], [[-2, 12]], [[-4, 8]], [[2, 16]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, 13]], [[2, 1], [2, 11]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-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, 5], [-2, 7], [-2, 9], [2, 13]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[2, 1], [2, 11]], [[-2, 3], [2, 13]], [[-1, 3], [1, 13]], [[-2, 1], [-2, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[2, 3], [-2, 13]], [[-1, 1], [-1, 11]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]]]}
  • id: 13553225
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 30, 'counter': 162, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 3, 'label': '1440.3398.4o6', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 12]], [[4, 16]], [[-4, 4]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[-4, 4]], [[4, 8]], [[2, 12]], [[2, 4]], [[-4, 12]], [[-2, 8]], [[4, 16]], [[-2, 16]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[2, 5], [2, 15]], [[-2, 12]], [[2, 16]], [[4, 4]], [[-4, 16]], [[-4, 8]], [[2, 8]], [[4, 12]], [[-2, 4]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[2, 8]], [[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, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[2, 3], [-2, 13]], [[-2, 1], [-2, 11]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1], [-2, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-2, 3], [2, 13]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[1, 3], [-1, 13]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[2, 1], [2, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]]]}
  • id: 13553226
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 30, 'counter': 163, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 3, 'label': '1440.3398.4o7', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 8]], [[-4, 4]], [[4, 16]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[4, 16]], [[-4, 12]], [[-2, 8]], [[-2, 16]], [[4, 8]], [[2, 12]], [[-4, 4]], [[2, 4]], [[-2, 8]], [[2, 12]], [[2, 4]], [[-2, 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]], [[-2, 5], [-2, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[2, 5], [2, 15]], [[2, 8]], [[-2, 4]], [[-4, 16]], [[4, 4]], [[4, 12]], [[-2, 12]], [[-4, 8]], [[2, 16]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [2, 13]], [[-2, 1], [-2, 11]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [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, 5], [2, 7], [2, 9], [-2, 13]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-2, 1], [-2, 11]], [[2, 3], [-2, 13]], [[1, 3], [-1, 13]], [[2, 1], [2, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-2, 3], [2, 13]], [[1, 1], [1, 11]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]]]}
  • id: 13553227
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 30, 'counter': 164, 'cyclotomic_n': 40, 'dim': 4, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '480.795', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 3, 'label': '1440.3398.4o8', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 12]], [[4, 16]], [[-4, 4]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[-4, 4]], [[4, 8]], [[2, 12]], [[2, 4]], [[-4, 12]], [[-2, 8]], [[4, 16]], [[-2, 16]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-2, 5], [-2, 15]], [[-2, 12]], [[2, 16]], [[4, 4]], [[-4, 16]], [[-4, 8]], [[2, 8]], [[4, 12]], [[-2, 4]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[2, 8]], [[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, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-2, 3], [2, 13]], [[2, 1], [2, 11]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1], [2, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[2, 3], [-2, 13]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[-1, 3], [1, 13]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-2, 1], [-2, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]]]}
  • id: 13553228
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 165, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p1', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 16]], [[4, 8]], [[-4, 12]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[-3, 10]], [[3, 10]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 4]], [[-2, 16]], [[2, 12]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[2, 5], [-1, 15]], [[1, 5], [-2, 15]], [[-2, 5], [1, 15]], [[-1, 5], [2, 15]], [[1, 5], [1, 15]], [[2, 16]], [[2, 8]], [[-2, 12]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 11]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[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]], [[-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]], [[-3, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 2]], [[-3, 14]], [[3, 18]], [[3, 2]], [[3, 14]], [[-3, 6]], [[0, 0]], [[3, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[2, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [2, 11]], [[2, 3], [1, 13]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-2, 11]], [[1, 3], [2, 13]], [[-2, 1], [1, 11]], [[1, 1], [1, 11]], [[-2, 3], [-1, 13]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[-1, 3], [-2, 13]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 13]]]}
  • id: 13553238
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 174, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p10', 'nt': [240, 16], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 12]], [[4, 16]], [[-4, 4]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[3, 10]], [[-3, 10]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[2, 12]], [[2, 4]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[-2, 16]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [-2, 15]], [[2, 5], [-1, 15]], [[-1, 5], [2, 15]], [[-2, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-2, 12]], [[2, 16]], [[-2, 4]], [[2, 16]], [[2, 8]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[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, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[2, 3], [-2, 13]], [[-2, 1], [-2, 11]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 14]], [[-3, 18]], [[3, 6]], [[3, 14]], [[3, 18]], [[-3, 2]], [[0, 0]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[-1, 3], [1, 13]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[-2, 1], [1, 11]], [[-2, 3], [-1, 13]], [[-1, 3], [-2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [2, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[2, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[-1, 1], [2, 11]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[2, 1], [-1, 11]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[1, 3], [-1, 13]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[1, 1], [-2, 11]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]]]}
  • id: 13553239
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 175, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p11', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 8]], [[-4, 4]], [[4, 16]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[3, 10]], [[-3, 10]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[-2, 8]], [[2, 12]], [[2, 4]], [[2, 4]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 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]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [2, 15]], [[-2, 5], [1, 15]], [[1, 5], [-2, 15]], [[2, 5], [-1, 15]], [[1, 5], [1, 15]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 4]], [[-2, 12]], [[-2, 12]], [[2, 8]], [[2, 16]], [[-1, 16]], [[1, 4]], [[-1, 8]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, 13]], [[2, 1], [2, 11]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-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, 5], [-2, 7], [-2, 9], [2, 13]], [[-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]], [[-3, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 6]], [[-3, 2]], [[3, 14]], [[3, 6]], [[3, 2]], [[-3, 18]], [[0, 0]], [[3, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[2, 3], [1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [-2, 13]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[-1, 3], [1, 13]], [[2, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[1, 3], [2, 13]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[-2, 3], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[1, 1], [-2, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-2, 1], [1, 11]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[-1, 1], [2, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]]]}
  • id: 13553240
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 176, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p12', 'nt': [240, 16], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 12]], [[4, 16]], [[-4, 4]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[-3, 10]], [[3, 10]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[2, 12]], [[2, 4]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[-2, 16]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-2, 5], [1, 15]], [[-1, 5], [2, 15]], [[2, 5], [-1, 15]], [[1, 5], [-2, 15]], [[-1, 5], [-1, 15]], [[-2, 12]], [[2, 16]], [[-2, 4]], [[2, 16]], [[2, 8]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[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, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[2, 3], [-2, 13]], [[-2, 1], [-2, 11]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 14]], [[3, 18]], [[-3, 6]], [[-3, 14]], [[-3, 18]], [[3, 2]], [[0, 0]], [[-3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[1, 1], [-2, 11]], [[1, 3], [2, 13]], [[2, 3], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-2, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[-1, 1], [-1, 11]], [[-1, 3], [-2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[2, 1], [-1, 11]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [2, 11]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[-2, 1], [1, 11]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]]]}
  • id: 13553241
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 177, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p13', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 8]], [[-4, 4]], [[4, 16]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[-3, 10]], [[3, 10]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[-2, 8]], [[2, 12]], [[2, 4]], [[2, 4]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 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]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-2, 5], [1, 15]], [[-1, 5], [2, 15]], [[2, 5], [-1, 15]], [[1, 5], [-2, 15]], [[-1, 5], [-1, 15]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 4]], [[-2, 12]], [[-2, 12]], [[2, 8]], [[2, 16]], [[-1, 16]], [[1, 4]], [[-1, 8]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [2, 13]], [[-2, 1], [-2, 11]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [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, 5], [2, 7], [2, 9], [-2, 13]], [[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]], [[3, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 6]], [[3, 2]], [[-3, 14]], [[-3, 6]], [[-3, 2]], [[3, 18]], [[0, 0]], [[-3, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [2, 13]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-2, 3], [-1, 13]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[1, 1], [-2, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[-1, 1], [-1, 11]], [[2, 3], [1, 13]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[-1, 3], [-2, 13]], [[-1, 3], [1, 13]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[2, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [2, 11]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[-2, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]]]}
  • id: 13553242
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 178, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p14', 'nt': [240, 16], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 12]], [[4, 16]], [[-4, 4]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[3, 10]], [[-3, 10]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[2, 12]], [[2, 4]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[-2, 16]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [2, 15]], [[-2, 5], [1, 15]], [[1, 5], [-2, 15]], [[2, 5], [-1, 15]], [[1, 5], [1, 15]], [[-2, 12]], [[2, 16]], [[-2, 4]], [[2, 16]], [[2, 8]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[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, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-2, 3], [2, 13]], [[2, 1], [2, 11]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 14]], [[-3, 18]], [[3, 6]], [[3, 14]], [[3, 18]], [[-3, 2]], [[0, 0]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[2, 1], [-1, 11]], [[2, 3], [1, 13]], [[1, 3], [2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [-2, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[-2, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[1, 1], [-2, 11]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-2, 1], [1, 11]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[-1, 3], [1, 13]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[-1, 1], [2, 11]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]]]}
  • id: 13553243
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 179, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p15', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 8]], [[-4, 4]], [[4, 16]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[3, 10]], [[-3, 10]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[-2, 8]], [[2, 12]], [[2, 4]], [[2, 4]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 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]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [-2, 15]], [[2, 5], [-1, 15]], [[-1, 5], [2, 15]], [[-2, 5], [1, 15]], [[-1, 5], [-1, 15]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 4]], [[-2, 12]], [[-2, 12]], [[2, 8]], [[2, 16]], [[-1, 16]], [[1, 4]], [[-1, 8]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [2, 13]], [[-2, 1], [-2, 11]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [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, 5], [2, 7], [2, 9], [-2, 13]], [[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]], [[-3, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 6]], [[-3, 2]], [[3, 14]], [[3, 6]], [[3, 2]], [[-3, 18]], [[0, 0]], [[3, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-2, 3], [-1, 13]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [2, 13]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[1, 3], [-1, 13]], [[-2, 1], [1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [-2, 13]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[2, 3], [1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[-1, 1], [2, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[2, 1], [-1, 11]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[1, 1], [-2, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]]]}
  • id: 13553245
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 180, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p16', 'nt': [240, 16], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 12]], [[4, 16]], [[-4, 4]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[-3, 10]], [[3, 10]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[2, 12]], [[2, 4]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[-2, 16]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[2, 5], [-1, 15]], [[1, 5], [-2, 15]], [[-2, 5], [1, 15]], [[-1, 5], [2, 15]], [[1, 5], [1, 15]], [[-2, 12]], [[2, 16]], [[-2, 4]], [[2, 16]], [[2, 8]], [[2, 8]], [[-2, 12]], [[-2, 4]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[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, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-2, 3], [2, 13]], [[2, 1], [2, 11]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 14]], [[3, 18]], [[-3, 6]], [[-3, 14]], [[-3, 18]], [[3, 2]], [[0, 0]], [[-3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[-1, 1], [2, 11]], [[-1, 3], [-2, 13]], [[-2, 3], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[2, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[1, 1], [1, 11]], [[1, 3], [2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[-2, 1], [1, 11]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-2, 11]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[2, 1], [-1, 11]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]]]}
  • id: 13553229
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 166, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p2', 'nt': [240, 16], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 16]], [[-4, 4]], [[-4, 12]], [[4, 8]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[3, 10]], [[-3, 10]], [[0, 0]], [[0, 0]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 16]], [[2, 12]], [[2, 12]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 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]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [-2, 15]], [[2, 5], [-1, 15]], [[-1, 5], [2, 15]], [[-2, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-2, 4]], [[-2, 12]], [[2, 8]], [[-2, 12]], [[2, 16]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-1, 8]], [[1, 12]], [[1, 4]], [[-1, 16]], [[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, 13]], [[2, 1], [2, 11]], [[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]], [[-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]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 18]], [[3, 6]], [[-3, 2]], [[-3, 18]], [[-3, 6]], [[3, 14]], [[0, 0]], [[-3, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[1, 1], [-2, 11]], [[2, 1], [-1, 11]], [[1, 3], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[-2, 1], [1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [2, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [2, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[2, 3], [1, 13]], [[1, 1], [1, 11]], [[-1, 3], [-2, 13]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[-2, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]]]}
  • id: 13553230
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 167, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p3', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 16]], [[4, 8]], [[-4, 12]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[3, 10]], [[-3, 10]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 4]], [[-2, 16]], [[2, 12]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [2, 15]], [[-2, 5], [1, 15]], [[1, 5], [-2, 15]], [[2, 5], [-1, 15]], [[1, 5], [1, 15]], [[2, 16]], [[2, 8]], [[-2, 12]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 11]], [[-2, 1], [2, 5], [-2, 7], [-2, 9], [2, 13]], [[2, 3], [-2, 7], [-2, 9], [2, 11], [-2, 15]], [[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]], [[-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]], [[3, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, 14]], [[-3, 18]], [[-3, 2]], [[-3, 14]], [[3, 6]], [[0, 0]], [[-3, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [2, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[2, 1], [-1, 11]], [[-1, 3], [-2, 13]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[1, 3], [-1, 13]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-2, 1], [1, 11]], [[-2, 3], [-1, 13]], [[1, 1], [-2, 11]], [[1, 1], [1, 11]], [[1, 3], [2, 13]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[2, 3], [1, 13]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 13]]]}
  • id: 13553231
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 168, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p4', 'nt': [240, 16], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 16]], [[-4, 4]], [[-4, 12]], [[4, 8]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[-3, 10]], [[3, 10]], [[0, 0]], [[0, 0]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 16]], [[2, 12]], [[2, 12]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 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]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-2, 5], [1, 15]], [[-1, 5], [2, 15]], [[2, 5], [-1, 15]], [[1, 5], [-2, 15]], [[-1, 5], [-1, 15]], [[-2, 4]], [[-2, 12]], [[2, 8]], [[-2, 12]], [[2, 16]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-1, 8]], [[1, 12]], [[1, 4]], [[-1, 16]], [[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, 13]], [[2, 1], [2, 11]], [[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]], [[-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]], [[-3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 18]], [[-3, 6]], [[3, 2]], [[3, 18]], [[3, 6]], [[-3, 14]], [[0, 0]], [[3, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[-2, 1], [1, 11]], [[-1, 1], [2, 11]], [[1, 3], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[1, 1], [-2, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-2, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[2, 1], [-1, 11]], [[-1, 3], [1, 13]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[-1, 3], [-2, 13]], [[1, 1], [1, 11]], [[2, 3], [1, 13]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[1, 3], [2, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]]]}
  • id: 13553232
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 169, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p5', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 16]], [[4, 8]], [[-4, 12]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[-3, 10]], [[3, 10]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 4]], [[-2, 16]], [[2, 12]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-2, 5], [1, 15]], [[-1, 5], [2, 15]], [[2, 5], [-1, 15]], [[1, 5], [-2, 15]], [[-1, 5], [-1, 15]], [[2, 16]], [[2, 8]], [[-2, 12]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 11]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-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]], [[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]], [[-3, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 2]], [[-3, 14]], [[3, 18]], [[3, 2]], [[3, 14]], [[-3, 6]], [[0, 0]], [[3, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[-2, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-2, 11]], [[-2, 3], [-1, 13]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [2, 11]], [[-1, 3], [-2, 13]], [[2, 1], [-1, 11]], [[-1, 1], [-1, 11]], [[2, 3], [1, 13]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[1, 3], [2, 13]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]]]}
  • id: 13553234
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 170, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p6', 'nt': [240, 16], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 16]], [[-4, 4]], [[-4, 12]], [[4, 8]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[3, 10]], [[-3, 10]], [[0, 0]], [[0, 0]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 16]], [[2, 12]], [[2, 12]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 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]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [2, 15]], [[-2, 5], [1, 15]], [[1, 5], [-2, 15]], [[2, 5], [-1, 15]], [[1, 5], [1, 15]], [[-2, 4]], [[-2, 12]], [[2, 8]], [[-2, 12]], [[2, 16]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-1, 8]], [[1, 12]], [[1, 4]], [[-1, 16]], [[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, 13]], [[-2, 1], [-2, 11]], [[-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]], [[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]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 18]], [[3, 6]], [[-3, 2]], [[-3, 18]], [[-3, 6]], [[3, 14]], [[0, 0]], [[-3, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[-1, 1], [2, 11]], [[-2, 1], [1, 11]], [[-1, 3], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[2, 1], [-1, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [-2, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-2, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[-2, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [2, 13]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[2, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]]]}
  • id: 13553235
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 171, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p7', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 16]], [[4, 8]], [[-4, 12]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 15]], [[-2, 5], [-2, 15]], [[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]], [[3, 10]], [[-3, 10]], [[0, 0]], [[0, 0]], [[2, 12]], [[2, 4]], [[-2, 16]], [[2, 12]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [-2, 15]], [[2, 5], [-1, 15]], [[-1, 5], [2, 15]], [[-2, 5], [1, 15]], [[-1, 5], [-1, 15]], [[2, 16]], [[2, 8]], [[-2, 12]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 11]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-2, 13]], [[-2, 3], [2, 7], [2, 9], [-2, 11], [2, 15]], [[-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]], [[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]], [[3, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, 14]], [[-3, 18]], [[-3, 2]], [[-3, 14]], [[3, 6]], [[0, 0]], [[-3, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[1, 1], [-2, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-2, 1], [1, 11]], [[1, 3], [2, 13]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[-1, 3], [1, 13]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[2, 1], [-1, 11]], [[2, 3], [1, 13]], [[-1, 1], [2, 11]], [[-1, 1], [-1, 11]], [[-1, 3], [-2, 13]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[-2, 3], [-1, 13]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 13]]]}
  • id: 13553236
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 172, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p8', 'nt': [240, 16], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 16]], [[-4, 4]], [[-4, 12]], [[4, 8]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[-3, 10]], [[3, 10]], [[0, 0]], [[0, 0]], [[-2, 8]], [[-2, 16]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 16]], [[2, 12]], [[2, 12]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 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]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[2, 5], [-1, 15]], [[1, 5], [-2, 15]], [[-2, 5], [1, 15]], [[-1, 5], [2, 15]], [[1, 5], [1, 15]], [[-2, 4]], [[-2, 12]], [[2, 8]], [[-2, 12]], [[2, 16]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-1, 8]], [[1, 12]], [[1, 4]], [[-1, 16]], [[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, 13]], [[-2, 1], [-2, 11]], [[-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]], [[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]], [[-3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 18]], [[-3, 6]], [[3, 2]], [[3, 18]], [[3, 6]], [[-3, 14]], [[0, 0]], [[3, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[2, 1], [-1, 11]], [[1, 1], [-2, 11]], [[-1, 3], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[-1, 1], [2, 11]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[2, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-2, 1], [1, 11]], [[1, 3], [-1, 13]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[1, 3], [2, 13]], [[-1, 1], [-1, 11]], [[-2, 3], [-1, 13]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[-1, 3], [-2, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]]]}
  • id: 13553237
    {'center': '144.a1.a1', 'center_index': 144, 'center_order': 10, 'counter': 173, 'cyclotomic_n': 40, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '1440.3398', 'group_counter': 3398, 'group_order': 1440, 'image': None, 'image_isoclass': '1440.3398', 'image_order': 1440, 'indicator': 0, 'kernel': '1440.a1.a1', 'kernel_order': 1, 'label': '1440.3398.4p9', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 8]], [[-4, 4]], [[4, 16]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 15]], [[2, 5], [2, 15]], [[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]], [[-3, 10]], [[3, 10]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 12]], [[-2, 8]], [[-2, 16]], [[-2, 8]], [[2, 12]], [[2, 4]], [[2, 4]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 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]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[2, 5], [-1, 15]], [[1, 5], [-2, 15]], [[-2, 5], [1, 15]], [[-1, 5], [2, 15]], [[1, 5], [1, 15]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 4]], [[-2, 12]], [[-2, 12]], [[2, 8]], [[2, 16]], [[-1, 16]], [[1, 4]], [[-1, 8]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, 13]], [[2, 1], [2, 11]], [[2, 1], [-2, 5], [2, 7], [2, 9], [-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, 5], [-2, 7], [-2, 9], [2, 13]], [[-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]], [[3, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 6]], [[3, 2]], [[-3, 14]], [[-3, 6]], [[-3, 2]], [[3, 18]], [[0, 0]], [[-3, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [-2, 13]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[2, 3], [1, 13]], [[-2, 3], [2, 7], [-1, 9], [-2, 11], [2, 15]], [[-2, 1], [2, 5], [1, 7], [-2, 9], [2, 13]], [[-1, 1], [1, 5], [2, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [-2, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[-1, 1], [2, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[2, 1], [-2, 5], [-1, 7], [2, 9], [-2, 13]], [[1, 1], [1, 11]], [[-2, 3], [-1, 13]], [[-1, 3], [1, 7], [-2, 9], [-1, 11], [1, 15]], [[1, 3], [2, 13]], [[1, 3], [-1, 13]], [[2, 3], [-2, 7], [1, 9], [2, 11], [-2, 15]], [[-2, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [-2, 11]], [[1, 3], [-1, 7], [2, 9], [1, 11], [-1, 15]], [[2, 1], [-1, 11]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]]]}
• 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: 75382085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 1440, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '1440.3398.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1440.3398', 'subgroup_hash': 3398, 'subgroup_order': 1440, 'subgroup_tex': 'C_{120}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 720, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '720.645', 'subgroup_hash': 645, 'subgroup_order': 720, 'subgroup_tex': 'C_{60}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 720, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.2.a1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '720.645', 'subgroup_hash': 645, 'subgroup_order': 720, 'subgroup_tex': 'C_{60}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 720, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '720.321', 'subgroup_hash': 321, 'subgroup_order': 720, 'subgroup_tex': 'C_{24}:C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 720, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '720.321', 'subgroup_hash': 321, 'subgroup_order': 720, 'subgroup_tex': 'C_{24}:C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 720, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '720.249', 'subgroup_hash': 249, 'subgroup_order': 720, 'subgroup_tex': 'C_{60}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382322
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 720, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '720.351', 'subgroup_hash': 351, 'subgroup_order': 720, 'subgroup_tex': 'C_{120}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 720, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '720.254', 'subgroup_hash': 254, 'subgroup_order': 720, 'subgroup_tex': 'C_{60}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 240, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '480.795', 'subgroup_hash': 795, 'subgroup_order': 480, 'subgroup_tex': 'C_{40}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 240, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.3.a1.b1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '480.795', 'subgroup_hash': 795, 'subgroup_order': 480, 'subgroup_tex': 'C_{40}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 360, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '360.97', 'subgroup_hash': 97, 'subgroup_order': 360, 'subgroup_tex': 'C_{15}\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 360, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.4.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '360.97', 'subgroup_hash': 97, 'subgroup_order': 360, 'subgroup_tex': 'C_{15}\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382119
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 360, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '360.106', 'subgroup_hash': 106, 'subgroup_order': 360, 'subgroup_tex': 'C_{60}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 360, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '360.95', 'subgroup_hash': 95, 'subgroup_order': 360, 'subgroup_tex': 'C_{12}.C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 360, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.4.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '360.95', 'subgroup_hash': 95, 'subgroup_order': 360, 'subgroup_tex': 'C_{12}.C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382152
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 360, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '360.38', 'subgroup_hash': 38, 'subgroup_order': 360, 'subgroup_tex': 'C_3\\times C_{120}', 'supersolvable': True, 'sylow': 0}
  • id: 75382163
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 360, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '360.36', 'subgroup_hash': 36, 'subgroup_order': 360, 'subgroup_tex': 'C_3^2:C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 75382174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 180, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '360.75', 'subgroup_hash': 75, 'subgroup_order': 360, 'subgroup_tex': 'C_{15}:D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 180, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.4.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '360.75', 'subgroup_hash': 75, 'subgroup_order': 360, 'subgroup_tex': 'C_{15}:D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382197
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 180, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '360.72', 'subgroup_hash': 72, 'subgroup_order': 360, 'subgroup_tex': 'C_{30}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382208
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 180, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.4.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '360.72', 'subgroup_hash': 72, 'subgroup_order': 360, 'subgroup_tex': 'C_{30}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 10, 'characteristic': True, 'core_order': 288, 'counter': 22, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '1440.3398.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.457', 'subgroup_hash': 457, 'subgroup_order': 288, 'subgroup_tex': 'C_{24}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 240, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.51', 'subgroup_hash': 51, 'subgroup_order': 240, 'subgroup_tex': 'C_{120}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 75382241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 240, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.6.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.51', 'subgroup_hash': 51, 'subgroup_order': 240, 'subgroup_tex': 'C_{120}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 75382252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 120, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.170', 'subgroup_hash': 170, 'subgroup_order': 240, 'subgroup_tex': 'C_{20}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 120, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.170', 'subgroup_hash': 170, 'subgroup_order': 240, 'subgroup_tex': 'C_{20}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 120, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.87', 'subgroup_hash': 87, 'subgroup_order': 240, 'subgroup_tex': 'C_{15}\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 120, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.87', 'subgroup_hash': 87, 'subgroup_order': 240, 'subgroup_tex': 'C_{15}\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 120, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.172', 'subgroup_hash': 172, 'subgroup_order': 240, 'subgroup_tex': 'D_{12}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75382279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 120, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.172', 'subgroup_hash': 172, 'subgroup_order': 240, 'subgroup_tex': 'D_{12}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75382280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 120, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.60', 'subgroup_hash': 60, 'subgroup_order': 240, 'subgroup_tex': 'C_{15}:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 120, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.60', 'subgroup_hash': 60, 'subgroup_order': 240, 'subgroup_tex': 'C_{15}:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382282
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 120, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.49', 'subgroup_hash': 49, 'subgroup_order': 240, 'subgroup_tex': 'S_3\\times C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 75382283
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 120, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.49', 'subgroup_hash': 49, 'subgroup_order': 240, 'subgroup_tex': 'S_3\\times C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 75382284
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 40, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.49', 'subgroup_hash': 49, 'subgroup_order': 240, 'subgroup_tex': 'S_3\\times C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 75382285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 120, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.63', 'subgroup_hash': 63, 'subgroup_order': 240, 'subgroup_tex': 'C_{15}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 120, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.6.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.63', 'subgroup_hash': 63, 'subgroup_order': 240, 'subgroup_tex': 'C_{15}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382287
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 180, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', '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': '180.35', 'subgroup_hash': 35, 'subgroup_order': 180, 'subgroup_tex': 'C_{30}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382288
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 180, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', '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': '180.18', 'subgroup_hash': 18, 'subgroup_order': 180, 'subgroup_tex': 'C_3\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75382290
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 180, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '180.16', 'subgroup_hash': 16, 'subgroup_order': 180, 'subgroup_tex': 'C_3^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382291
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 90, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '180.33', 'subgroup_hash': 33, 'subgroup_order': 180, 'subgroup_tex': 'S_3\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382292
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 90, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '180.33', 'subgroup_hash': 33, 'subgroup_order': 180, 'subgroup_tex': 'S_3\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382293
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 90, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '180.14', 'subgroup_hash': 14, 'subgroup_order': 180, 'subgroup_tex': 'C_3:C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75382294
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 90, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '180.14', 'subgroup_hash': 14, 'subgroup_order': 180, 'subgroup_tex': 'C_3:C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75382295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 40, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '1440.3398.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.196', 'subgroup_hash': 196, 'subgroup_order': 160, 'subgroup_tex': 'D_8:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75382296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 144, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.139', 'subgroup_hash': 139, 'subgroup_order': 144, 'subgroup_tex': 'D_{12}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 144, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.10.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.139', 'subgroup_hash': 139, 'subgroup_order': 144, 'subgroup_tex': 'D_{12}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 144, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.71', 'subgroup_hash': 71, 'subgroup_order': 144, 'subgroup_tex': 'C_{24}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 144, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.10.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.71', 'subgroup_hash': 71, 'subgroup_order': 144, 'subgroup_tex': 'C_{24}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 144, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.10.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.56', 'subgroup_hash': 56, 'subgroup_order': 144, 'subgroup_tex': 'D_{12}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382302
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 144, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.10.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.85', 'subgroup_hash': 85, 'subgroup_order': 144, 'subgroup_tex': 'C_{24}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 144, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.10.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.61', 'subgroup_hash': 61, 'subgroup_order': 144, 'subgroup_tex': 'C_3^2:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 120, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.23', 'subgroup_hash': 23, 'subgroup_order': 120, 'subgroup_tex': 'C_5\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 120, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.12.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.23', 'subgroup_hash': 23, 'subgroup_order': 120, 'subgroup_tex': 'C_5\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 120, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.21', 'subgroup_hash': 21, 'subgroup_order': 120, 'subgroup_tex': 'C_{15}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 120, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.12.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.21', 'subgroup_hash': 21, 'subgroup_order': 120, 'subgroup_tex': 'C_{15}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382308
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 120, 'counter': 57, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.4', 'subgroup_hash': 4, 'subgroup_order': 120, 'subgroup_tex': 'C_{120}', 'supersolvable': True, 'sylow': 0}
  • id: 75382309
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 120, 'counter': 58, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.12.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.4', 'subgroup_hash': 4, 'subgroup_order': 120, 'subgroup_tex': 'C_{120}', 'supersolvable': True, 'sylow': 0}
  • id: 75382310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 30, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.25', 'subgroup_hash': 25, 'subgroup_order': 120, 'subgroup_tex': 'C_{15}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 30, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.25', 'subgroup_hash': 25, 'subgroup_order': 120, 'subgroup_tex': 'C_{15}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382313
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 30, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382314
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 30, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 60, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.32', 'subgroup_hash': 32, 'subgroup_order': 120, 'subgroup_tex': 'D_4\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75382316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 60, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.32', 'subgroup_hash': 32, 'subgroup_order': 120, 'subgroup_tex': 'D_4\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75382317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 30, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.23', 'subgroup_hash': 23, 'subgroup_order': 120, 'subgroup_tex': 'C_5\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 30, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.23', 'subgroup_hash': 23, 'subgroup_order': 120, 'subgroup_tex': 'C_5\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382319
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 30, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.22', 'subgroup_hash': 22, 'subgroup_order': 120, 'subgroup_tex': 'S_3\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382320
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 30, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.22', 'subgroup_hash': 22, 'subgroup_order': 120, 'subgroup_tex': 'S_3\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382321
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 60, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.22', 'subgroup_hash': 22, 'subgroup_order': 120, 'subgroup_tex': 'S_3\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382323
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 60, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.22', 'subgroup_hash': 22, 'subgroup_order': 120, 'subgroup_tex': 'S_3\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382324
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.22', 'subgroup_hash': 22, 'subgroup_order': 120, 'subgroup_tex': 'S_3\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 60, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.33', 'subgroup_hash': 33, 'subgroup_order': 120, 'subgroup_tex': 'Q_8\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75382326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 60, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.33', 'subgroup_hash': 33, 'subgroup_order': 120, 'subgroup_tex': 'Q_8\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75382327
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 60, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.1', 'subgroup_hash': 1, 'subgroup_order': 120, 'subgroup_tex': 'C_3:C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 75382328
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 60, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.1', 'subgroup_hash': 1, 'subgroup_order': 120, 'subgroup_tex': 'C_3:C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 75382329
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 40, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.12.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.4', 'subgroup_hash': 4, 'subgroup_order': 120, 'subgroup_tex': 'C_{120}', 'supersolvable': True, 'sylow': 0}
  • id: 75382330
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.12.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.1', 'subgroup_hash': 1, 'subgroup_order': 120, 'subgroup_tex': 'C_3:C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 75382331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 48, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.15.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.123', 'subgroup_hash': 123, 'subgroup_order': 96, 'subgroup_tex': 'C_8.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 48, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.15.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.123', 'subgroup_hash': 123, 'subgroup_order': 96, 'subgroup_tex': 'C_8.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382334
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 90, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '90.10', 'subgroup_hash': 10, 'subgroup_order': 90, 'subgroup_tex': 'C_3\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382335
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 45, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '90.6', 'subgroup_hash': 6, 'subgroup_order': 90, 'subgroup_tex': 'S_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75382336
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 45, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.16.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '90.6', 'subgroup_hash': 6, 'subgroup_order': 90, 'subgroup_tex': 'S_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75382337
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 45, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '90.8', 'subgroup_hash': 8, 'subgroup_order': 90, 'subgroup_tex': 'C_{15}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': 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: 75382339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.18.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': 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: 75382340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 40, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.18.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.26', 'subgroup_hash': 26, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 40, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.18.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.26', 'subgroup_hash': 26, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.18.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.25', 'subgroup_hash': 25, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382343
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.18.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 75382345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.18.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.27', 'subgroup_hash': 27, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 72, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.28', 'subgroup_hash': 28, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 72, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.20.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.28', 'subgroup_hash': 28, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382348
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 72, 'counter': 93, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', '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': '72.32', 'subgroup_hash': 32, 'subgroup_order': 72, 'subgroup_tex': 'C_{12}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 72, 'counter': 94, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.20.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.26', 'subgroup_hash': 26, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 72, 'counter': 95, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.20.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.26', 'subgroup_hash': 26, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382351
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 72, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.20.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.14', 'subgroup_hash': 14, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 75382352
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 72, 'counter': 97, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.20.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.13', 'subgroup_hash': 13, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 36, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.20.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.23', 'subgroup_hash': 23, 'subgroup_order': 72, 'subgroup_tex': 'C_3:D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 36, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.20.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.23', 'subgroup_hash': 23, 'subgroup_order': 72, 'subgroup_tex': 'C_3:D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382087
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 36, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.20.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.20', 'subgroup_hash': 20, 'subgroup_order': 72, 'subgroup_tex': 'C_6.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382088
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 36, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.20.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.20', 'subgroup_hash': 20, 'subgroup_order': 72, 'subgroup_tex': 'C_6.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382089
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 60, 'counter': 102, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75382090
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 60, 'counter': 103, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.24.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75382091
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 30, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382092
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 30, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382093
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 30, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.11', 'subgroup_hash': 11, 'subgroup_order': 60, 'subgroup_tex': 'S_3\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75382094
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 30, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.11', 'subgroup_hash': 11, 'subgroup_order': 60, 'subgroup_tex': 'S_3\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75382095
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 30, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.11', 'subgroup_hash': 11, 'subgroup_order': 60, 'subgroup_tex': 'S_3\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75382096
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 30, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.11', 'subgroup_hash': 11, 'subgroup_order': 60, 'subgroup_tex': 'S_3\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75382098
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.11', 'subgroup_hash': 11, 'subgroup_order': 60, 'subgroup_tex': 'S_3\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75382099
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 30, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382100
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 30, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382101
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 30, 'counter': 113, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75382102
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 30, 'counter': 114, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.24.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75382103
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 30, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382104
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 30, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382105
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 20, 'counter': 117, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75382106
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75382107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 48, 'counter': 119, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.30.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '30.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.6', 'subgroup_hash': 6, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 75382109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 48, 'counter': 120, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.30.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '30.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.6', 'subgroup_hash': 6, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 75382110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 24, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.39', 'subgroup_hash': 39, 'subgroup_order': 48, 'subgroup_tex': 'D_4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 24, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.39', 'subgroup_hash': 39, 'subgroup_order': 48, 'subgroup_tex': 'D_4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 24, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.26', 'subgroup_hash': 26, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 24, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.26', 'subgroup_hash': 26, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 24, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.41', 'subgroup_hash': 41, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 75382115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 24, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.41', 'subgroup_hash': 41, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 75382116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 24, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.15', 'subgroup_hash': 15, 'subgroup_order': 48, 'subgroup_tex': 'C_3:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 24, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.15', 'subgroup_hash': 15, 'subgroup_order': 48, 'subgroup_tex': 'C_3:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382118
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 24, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': 4, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382120
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 24, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': 4, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382121
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 8, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': 4, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 24, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': 18, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 24, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.30.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': 18, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382124
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 45, 'counter': 134, 'cyclic': False, 'direct': False, 'hall': 15, 'label': '1440.3398.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.42', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '45.2', 'subgroup_hash': 2, 'subgroup_order': 45, 'subgroup_tex': 'C_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75382125
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 40, 'counter': 135, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.36.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3^2', 'simple': False, 'solvable': True, 'special_labels': ['U0'], '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: 75382126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.36.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 75382127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.36.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 75382128
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.36.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 75382129
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.36.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 75382131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 20, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.36.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 75382132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 20, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.36.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 75382133
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.36.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 75382134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 20, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.36.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 75382135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 20, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.36.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 75382136
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 145, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.36.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 75382137
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 36, 'counter': 146, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', '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': '36.13', 'subgroup_hash': 13, 'subgroup_order': 36, 'subgroup_tex': 'C_6:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382138
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 36, 'counter': 147, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.40.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.14', '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': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382139
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 36, 'counter': 148, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.40.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.c1.a1', 'outer_equivalence': False, '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': '36.7', 'subgroup_hash': 7, 'subgroup_order': 36, 'subgroup_tex': 'C_3^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382140
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 18, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.40.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382142
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 18, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.40.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382143
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 18, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.40.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382144
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 18, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.40.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 8, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1440.3398.45.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '45.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 2}
  • id: 75382146
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 30, 'counter': 154, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382147
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 30, 'counter': 155, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.48.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382148
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 10, 'counter': 156, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382149
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 15, 'counter': 157, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382150
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 15, 'counter': 158, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.48.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75382151
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 15, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.1', 'subgroup_hash': 1, 'subgroup_order': 30, 'subgroup_tex': 'C_5\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382153
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 15, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.48.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.1', 'subgroup_hash': 1, 'subgroup_order': 30, 'subgroup_tex': 'C_5\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382154
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 15, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.1', 'subgroup_hash': 1, 'subgroup_order': 30, 'subgroup_tex': 'C_5\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382155
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 15, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.48.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.1', 'subgroup_hash': 1, 'subgroup_order': 30, 'subgroup_tex': 'C_5\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382156
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 5, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.1', 'subgroup_hash': 1, 'subgroup_order': 30, 'subgroup_tex': 'C_5\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382157
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 5, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.48.f1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.f1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.1', 'subgroup_hash': 1, 'subgroup_order': 30, 'subgroup_tex': 'C_5\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 24, 'counter': 165, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.60.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '60.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 24, 'counter': 166, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.60.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '60.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 24, 'counter': 167, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.60.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '60.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 24, 'counter': 168, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.60.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '60.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382162
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 24, 'counter': 169, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.60.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 75382164
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 24, 'counter': 170, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.60.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 75382165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 6, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 6, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382167
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 6, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382168
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 6, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 12, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 12, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 6, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 6, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382173
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 6, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382175
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 6, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382176
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 12, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382177
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 12, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382178
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 12, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 12, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382181
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 12, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382182
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 12, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382183
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 8, 'counter': 188, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.60.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 75382184
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.60.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382186
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 20, 'counter': 190, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.72.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.46', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['U1'], '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: 75382187
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.72.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': 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: 75382188
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.72.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': 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: 75382189
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.72.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': 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: 75382190
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 194, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.72.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': 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: 75382191
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 195, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.72.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': 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: 75382192
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 196, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.72.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': 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: 75382193
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 18, 'counter': 197, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.3398.80.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.46', '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': ['L2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382194
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 9, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.80.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382195
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 9, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.80.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382198
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 9, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.80.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.4', 'subgroup_hash': 4, 'subgroup_order': 18, 'subgroup_tex': 'C_3:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.90.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '90.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': 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: 75382200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.90.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '90.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': 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: 75382201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 8, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.90.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '90.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 8, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.90.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '90.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.90.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '90.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382204
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.90.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '90.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.90.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '90.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 75382206
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 15, 'counter': 208, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.123', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 123, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75382207
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 15, 'counter': 209, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.96.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.123', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 123, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8.D_6', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75382209
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 5, 'counter': 210, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75382210
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 12, 'counter': 211, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.120.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382211
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 12, 'counter': 212, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.120.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382212
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 6, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382213
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 6, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382214
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 6, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382215
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 6, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382216
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 6, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382217
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 6, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382218
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382220
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 6, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382221
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 6, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382222
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 6, 'counter': 222, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.120.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382223
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 6, 'counter': 223, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.120.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382224
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 6, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382225
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 6, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382226
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 4, 'counter': 226, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.120.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75382227
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.120.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382228
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 10, 'counter': 228, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.144.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.145', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 145, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_6', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U2'], '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: 75382229
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 5, 'counter': 229, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.144.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': 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: 75382231
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 5, 'counter': 230, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.144.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': 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: 75382232
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 5, 'counter': 231, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.144.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': 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: 75382233
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 9, 'counter': 232, 'cyclic': False, 'direct': False, 'hall': 3, 'label': '1440.3398.160.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '160.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 196, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['L3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 3}
  • id: 75382234
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 8, 'counter': 233, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.180.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '180.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '180.28', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 180, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times S_3^2', '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: 75382235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.180.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 180, 'quotient_simple': 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: 75382236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.180.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 180, 'quotient_simple': 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: 75382237
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.180.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 180, 'quotient_simple': 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: 75382238
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.180.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 180, 'quotient_simple': 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: 75382239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 4, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.180.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 180, 'quotient_simple': 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: 75382240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 4, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.180.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 180, 'quotient_simple': 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: 75382242
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.180.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 180, 'quotient_simple': 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: 75382243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 4, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.180.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 180, 'quotient_simple': 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: 75382244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 4, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.180.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 180, 'quotient_simple': 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: 75382245
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 243, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.180.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 180, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 75382246
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 6, 'counter': 244, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.240.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.169', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 169, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382247
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 6, 'counter': 245, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.240.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.169', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 169, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382248
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 2, 'counter': 246, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.240.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382249
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 3, 'counter': 247, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.240.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382250
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 3, 'counter': 248, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.240.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75382251
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 3, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.240.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382253
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 3, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.240.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382254
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 3, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.240.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382255
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 3, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.240.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382256
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.240.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382257
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.240.f1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.f1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382258
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 5, 'counter': 255, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '1440.3398.288.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '288.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '288.457', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 457, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}.D_6', 'simple': True, 'solvable': True, 'special_labels': ['C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 75382259
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 4, 'counter': 256, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.360.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '360.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '360.153', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 153, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 360, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times S_3^2', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75382260
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.360.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 360, 'quotient_simple': 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: 75382261
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.360.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 360, 'quotient_simple': 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: 75382262
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.3398.360.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 360, 'quotient_simple': 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: 75382264
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 260, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.360.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 360, 'quotient_simple': 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: 75382265
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 261, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.360.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 360, 'quotient_simple': 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: 75382266
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 262, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.360.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 360, 'quotient_simple': 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: 75382267
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 3, 'counter': 263, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.480.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '480.795', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 795, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}.D_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382268
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 3, 'counter': 264, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.480.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '480.795', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 795, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}.D_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382269
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 1, 'counter': 265, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.480.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 75382270
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 2, 'counter': 266, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.3398.720.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '720.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '720.651', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 651, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 720, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}:D_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 75382271
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 1, 'counter': 267, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.720.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '720.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 720, '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: 75382272
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 1, 'counter': 268, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.720.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '720.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 720, '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: 75382273
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 1, 'counter': 269, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.3398.720.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '720.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 720, '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: 75382275
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.3398', 'ambient_counter': 3398, 'ambient_order': 1440, 'ambient_tex': 'C_{120}.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 1, 'counter': 270, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1440.3398.1440.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1440.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1440.3398', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3398, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1440, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{120}.D_6', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'D2', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 75382085
    {'ambient': '1440.3398', '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': '144.a1.a1', 'complements': ['1440.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.a1.b1', '2.b1.a1', '2.b1.b1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '3.a1.a1', '3.a1.b1', '5.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7026, 5051, 7025, 6160, 6303, 4447, 3369, 6361], 'generators': [1, 360, 724, 180, 720, 960, 6, 288], 'label': '1440.3398.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.b1', '2.a1.a1', '2.b1.b1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '144.145'}
  • id: 75382086
    {'ambient': '1440.3398', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '768.1076129', 'aut_weyl_index': 12, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.b1', '6.c1.b1', '6.d1.a1', '6.e1.b1', '6.f1.b1', '6.h1.b1', '9.a1.a1', '15.a1.b1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7026, -1, 7674, -1, 6611, -1, 2243, -1], 'generators': [1, 720, 180, 288, 6, 960, 360], 'label': '1440.3398.3.a1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '3.a1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382087
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '144.192', 'aut_weyl_index': 64, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '10.a1.a1'], 'contains': ['40.c1.a1', '40.d1.a1', '40.e1.b1', '60.e1.a1', '60.h1.a1'], 'core': '40.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3070, -1, 3471, -1, 2436, -1, 8436, -1], 'generators': [541, 960, 306, 720, 724], 'label': '1440.3398.20.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '20.g1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1.a1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 75382088
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '144.192', 'aut_weyl_index': 64, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '10.a1.b1'], 'contains': ['40.c1.a1', '40.d1.b1', '40.e1.a1', '60.e1.b1', '60.h1.b1'], 'core': '40.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3070, -1, 2680, -1, 2436, -1, 6899, -1], 'generators': [1, 960, 6, 720, 724], 'label': '1440.3398.20.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '20.g1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1.b1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 75382089
    {'ambient': '1440.3398', 'aut_centralizer_order': 288, 'aut_label': '24.a1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.b1', '12.b1.a1', '12.c1.a1', '12.f1.a1', '12.i1.a1', '12.k1.a1', '12.l1.a1'], 'contains': ['48.a1.a1', '72.a1.a1', '120.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5164, 8310, 4980, 3654, 5617, 7571, 4460, 2548], 'generators': [1080, 288, 720, 724], 'label': '1440.3398.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.b1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '72.a1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '144.145', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382090
    {'ambient': '1440.3398', 'aut_centralizer_order': 288, 'aut_label': '24.a1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.b1', '12.c1.b1', '12.f1.b1', '12.i1.b1', '12.k1.b1', '12.l1.b1'], 'contains': ['48.a1.b1', '72.a1.a1', '120.a1.b1'], 'core': '24.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5164, 8310, 7116, 1759, 5617, 7571, 3746, 3525], 'generators': [1080, 288, 720, 960], 'label': '1440.3398.24.a1.b1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.a1.b1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.b1', '12.c1.b1'], 'normal_contains': ['48.a1.b1', '72.a1.a1', '120.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.b1', 'projective_image': '144.145', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.a1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382091
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.d1.a1', '12.e1.a1', '12.f1.a1'], 'contains': ['48.a1.a1', '48.c1.a1', '72.b1.a1', '120.b1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1924, -1, 1460, -1, 1055, -1, 9482, -1], 'generators': [306, 724, 288, 720], 'label': '1440.3398.24.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.b1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382092
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '24.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '12.d1.b1', '12.e1.b1', '12.f1.b1'], 'contains': ['48.a1.b1', '48.c1.b1', '72.b1.b1', '120.b1.b1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1924, -1, 2350, -1, 1055, -1, 6195, -1], 'generators': [1, 960, 288, 720], 'label': '1440.3398.24.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '24.b1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382093
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '24.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.a1.a1', '12.g1.a1', '12.h1.a1'], 'contains': ['48.a1.b1', '48.d1.a1', '72.b1.a1', '120.c1.a1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [885, -1, 3105, -1, 809, -1, 8386, -1], 'generators': [306, 288, 960, 720], 'label': '1440.3398.24.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382094
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '24.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '12.a1.b1', '12.g1.b1', '12.h1.b1'], 'contains': ['48.a1.a1', '48.d1.b1', '72.b1.b1', '120.c1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [885, -1, 1066, -1, 809, -1, 7043, -1], 'generators': [1, 288, 724, 720], 'label': '1440.3398.24.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '24.c1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382095
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.d1.a1', '12.g1.b1', '12.i1.a1'], 'contains': ['48.a1.a1', '48.e1.a1', '72.c1.a1', '120.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1366, -1, 1211, -1, 1301, -1, 8689, -1], 'generators': [363, 288, 724, 720], 'label': '1440.3398.24.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382096
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.d1.b1', '12.g1.a1', '12.i1.b1'], 'contains': ['48.a1.b1', '48.e1.b1', '72.c1.a1', '120.d1.b1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1366, -1, 2203, -1, 1301, -1, 7495, -1], 'generators': [363, 288, 960, 720], 'label': '1440.3398.24.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '24.d1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382097
    {'ambient': '1440.3398', 'aut_centralizer_order': 12, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.b1.a1', '8.d1.a1', '12.a1.a1', '12.f1.a1', '20.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4983, 6246, 5297, 5128, 4013, 6789, 5578, 5740], 'generators': [306, 960, 724, 288, 1080, 720], 'label': '1440.3398.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.b1.a1', '12.a1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382098
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.j1.a1'], 'contains': ['48.b1.a1', '48.f1.a1', '48.f1.a2', '72.c1.a1', '120.e1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3960, -1, 885, -1, 2043, -1, 7346, -1], 'generators': [363, 288, 244, 720], 'label': '1440.3398.24.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '24.e1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382099
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '18.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.e1.a1', '12.h1.b1', '12.i1.a1'], 'contains': ['48.a1.a1', '72.d1.a1', '120.f1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3535, -1, 2772, -1, 4111, -1, 7195, -1], 'generators': [723, 720, 724, 288], 'label': '1440.3398.24.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.f1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382100
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '18.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.e1.b1', '12.h1.a1', '12.i1.b1'], 'contains': ['48.a1.b1', '72.d1.a1', '120.f1.b1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [3535, -1, 3985, -1, 4111, -1, 6663, -1], 'generators': [723, 720, 960, 288], 'label': '1440.3398.24.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '24.f1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382101
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '24.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.g1.b1', '12.h1.b1', '12.k1.a1'], 'contains': ['48.a1.a1', '72.e1.a1', '120.g1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1731, -1, 1918, -1, 2965, -1, 6463, -1], 'generators': [6, 288, 720, 724], 'label': '1440.3398.24.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '24.g1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382102
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '24.g1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '12.g1.a1', '12.h1.a1', '12.k1.b1'], 'contains': ['48.a1.b1', '72.e1.b1', '120.g1.b1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1731, -1, 4763, -1, 2965, -1, 8038, -1], 'generators': [541, 288, 720, 960], 'label': '1440.3398.24.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.g1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382103
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '24.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '12.b1.a1', '12.d1.a1', '12.e1.a1'], 'contains': ['48.a1.a1', '72.e1.b1', '120.h1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2293, -1, 4135, -1, 3157, -1, 9245, -1], 'generators': [541, 720, 724, 288], 'label': '1440.3398.24.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.h1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382104
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '24.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.b1.b1', '12.d1.b1', '12.e1.b1'], 'contains': ['48.a1.b1', '72.e1.a1', '120.h1.b1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2293, -1, 2923, -1, 3157, -1, 5554, -1], 'generators': [6, 720, 960, 288], 'label': '1440.3398.24.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '24.h1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382105
    {'ambient': '1440.3398', 'aut_centralizer_order': 288, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.j1.a1', '12.m1.a1', '12.n1.a1'], 'contains': ['48.b1.a1', '72.a1.a1', '120.i1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9018, -1, 5710, -1, 7001, -1, 3540, -1], 'generators': [1080, 288, 720, 244], 'label': '1440.3398.24.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '24.i1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382106
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.j1.a1'], 'contains': ['48.b1.a1', '72.d1.a1', '120.j1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4214, -1, 3390, -1, 4533, -1, 6043, -1], 'generators': [723, 720, 244, 288], 'label': '1440.3398.24.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '24.j1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382107
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '48.a1.a1', 'complements': ['48.d1.b1', '48.f1.a2', '48.e1.a1', '48.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.b1.a1', '15.a1.b1'], 'contains': ['60.a1.a1', '60.b1.b1', '60.c1.b1', '90.b1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7669, 7353, 9203, 1303, 6969, 9169, 1648, 3613], 'generators': [6, 960, 180, 360, 720], 'label': '1440.3398.30.a1.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '30.a1.a1', 'normal_contained_in': ['6.a1.a1', '10.b1.a1'], 'normal_contains': ['60.a1.a1', '60.b1.b1', '60.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '30.a1.a1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382108
    {'ambient': '1440.3398', 'aut_centralizer_order': 12, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '48.a1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '2.b1.b1', '2.c1.a1'], 'contains': ['8.b1.a1', '8.d1.b1', '12.a1.b1', '12.f1.b1', '20.a1.b1'], 'core': '4.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4983, 6246, 5089, 4376, 4013, 6789, 4545, 3712], 'generators': [1, 724, 960, 288, 1080, 720], 'label': '1440.3398.4.a1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.b1', 'normal_contained_in': ['2.a1.b1', '2.b1.b1', '2.c1.a1'], 'normal_contains': ['8.b1.a1', '12.a1.b1', '20.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382109
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '48.a1.b1', 'complements': ['48.d1.a1', '48.e1.b1', '48.f1.a2', '48.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.b1', '10.b1.b1', '15.a1.a1'], 'contains': ['60.a1.b1', '60.b1.a1', '60.c1.a1', '90.b1.b1'], 'core': '30.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7669, 7353, 6652, 3355, 6969, 9169, 3102, 490], 'generators': [1, 724, 180, 360, 720], 'label': '1440.3398.30.a1.b1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '30.a1.b1', 'normal_contained_in': ['6.a1.b1', '10.b1.b1'], 'normal_contains': ['60.a1.b1', '60.b1.a1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.a1.b1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.a1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382110
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '10.a1.a1', '15.a1.a1'], 'contains': ['60.b1.a1', '60.d1.a1', '60.e1.a1', '60.f1.a1', '60.i1.a1', '90.a1.a1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5510, -1, 4648, -1, 3871, -1, 6449, -1], 'generators': [541, 724, 306, 1080, 720], 'label': '1440.3398.30.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.b1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382111
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '10.a1.b1', '15.a1.b1'], 'contains': ['60.b1.b1', '60.d1.b1', '60.e1.b1', '60.f1.b1', '60.i1.b1', '90.a1.b1'], 'core': '60.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5510, -1, 7214, -1, 3871, -1, 3426, -1], 'generators': [1, 960, 6, 1080, 720], 'label': '1440.3398.30.b1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '30.b1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382112
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 288, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '10.b1.a1', '15.a1.a1'], 'contains': ['60.c1.a1', '60.f1.a1', '60.k1.a1', '90.b1.a1'], 'core': '60.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7966, -1, 6405, -1, 6734, -1, 2959, -1], 'generators': [6, 720, 180, 724, 360], 'label': '1440.3398.30.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.c1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382113
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 288, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.b1', '10.b1.b1', '15.a1.b1'], 'contains': ['60.c1.b1', '60.f1.b1', '60.k1.b1', '90.b1.b1'], 'core': '60.c1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7966, -1, 9063, -1, 6734, -1, 2028, -1], 'generators': [1, 720, 180, 960, 360], 'label': '1440.3398.30.c1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '30.c1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382114
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '10.a1.a1', '15.a1.b1'], 'contains': ['60.a1.a1', '60.g1.a1', '60.h1.a1', '60.i1.b1', '60.k1.b1', '90.a1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5084, -1, 7774, -1, 3715, -1, 5441, -1], 'generators': [541, 960, 306, 1080, 720], 'label': '1440.3398.30.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '30.d1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382115
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.b1', '10.a1.b1', '15.a1.a1'], 'contains': ['60.a1.b1', '60.g1.b1', '60.h1.b1', '60.i1.a1', '60.k1.a1', '90.a1.b1'], 'core': '60.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5084, -1, 4418, -1, 3715, -1, 4282, -1], 'generators': [1, 724, 6, 1080, 720], 'label': '1440.3398.30.d1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.d1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382116
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '10.c1.a1', '15.a1.a1'], 'contains': ['60.a1.b1', '60.f1.a1', '60.l1.a1', '90.c1.a1'], 'core': '60.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6770, -1, 7603, -1, 6497, -1, 3187, -1], 'generators': [1, 724, 306, 1080, 720], 'label': '1440.3398.30.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.e1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.e1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382117
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.b1', '10.c1.a1', '15.a1.b1'], 'contains': ['60.a1.a1', '60.f1.b1', '60.l1.b1', '90.c1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6770, -1, 8709, -1, 6497, -1, 2172, -1], 'generators': [1, 960, 306, 1080, 720], 'label': '1440.3398.30.e1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '30.e1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.e1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382118
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '30.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 192, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '10.d1.a1', '15.a1.a1'], 'contains': ['60.c1.a1', '60.i1.a1', '60.l1.a1', '90.d1.a1'], 'core': '60.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9186, -1, 8538, -1, 7742, -1, 1192, -1], 'generators': [723, 724, 180, 360, 720], 'label': '1440.3398.30.f1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.f1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382119
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '1152.133925', 'aut_weyl_index': 8, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.a1.b1', '2.d1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '12.i1.a1', '12.i1.b1', '12.j1.a1', '20.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5277, 1695, 4432, 8143, 4840, 573, 4954, 9678], 'generators': [723, 960, 288, 720, 1080, 724], 'label': '1440.3398.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.b1', '2.a1.a1', '2.d1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 75382120
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '30.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 192, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.b1', '10.d1.a1', '15.a1.b1'], 'contains': ['60.c1.b1', '60.i1.b1', '60.l1.b1', '90.d1.a1'], 'core': '60.c1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9186, -1, 9947, -1, 7742, -1, 421, -1], 'generators': [723, 960, 180, 360, 720], 'label': '1440.3398.30.f1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '30.f1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.f1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382121
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '30.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.51', 'aut_weyl_index': 192, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.a1', '10.d1.a1'], 'contains': ['60.j1.a1', '60.m1.a1', '60.n1.a1', '90.d1.a1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9823, -1, 9306, -1, 9765, -1, 54, -1], 'generators': [723, 244, 180, 360, 720], 'label': '1440.3398.30.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '30.g1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.g1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382122
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '30.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1.a1', '10.e1.a1', '15.a1.a1'], 'contains': ['60.b1.a1', '60.k1.a1', '60.l1.a1', '90.e1.a1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9499, -1, 6557, -1, 7127, -1, 2802, -1], 'generators': [541, 724, 6, 360, 720], 'label': '1440.3398.30.h1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.h1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.h1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382123
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '30.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1.b1', '10.e1.a1', '15.a1.b1'], 'contains': ['60.b1.b1', '60.k1.b1', '60.l1.b1', '90.e1.a1'], 'core': '60.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9499, -1, 9763, -1, 7127, -1, 1462, -1], 'generators': [541, 960, 6, 360, 720], 'label': '1440.3398.30.h1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '30.h1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.h1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382124
    {'ambient': '1440.3398', 'aut_centralizer_order': 288, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.25', 'aut_weyl_index': 288, 'centralizer': '4.d1.a1', 'complements': ['45.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '16.c1.a1'], 'contains': ['96.a1.a1', '96.a1.b1', '96.b1.a1', '160.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [461, 2365, 355, 9844, 1061, 3725, 9266, 5740], 'generators': [724, 288, 960], 'label': '1440.3398.32.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['96.a1.b1', '96.a1.a1', '160.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '288.457', 'quotient_action_image': '4.2', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382125
    {'ambient': '1440.3398', 'aut_centralizer_order': 576, 'aut_label': '36.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '12.c1.b1', '12.m1.a1', '18.b1.a1', '18.b1.b1', '18.d1.a1'], 'contains': ['72.a1.a1', '180.a1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7717, 8991, 8290, 530, 8378, 9017, 1598, 1563], 'generators': [180, 360, 720, 288], 'label': '1440.3398.36.a1.a1', 'mobius_quo': 0, 'mobius_sub': 18, 'normal_closure': '36.a1.a1', 'normal_contained_in': ['12.c1.b1', '12.c1.a1'], 'normal_contains': ['72.a1.a1', '180.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.a1.a1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.4', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382250
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '240.c1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '24.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1.b1', '80.b1.b1', '120.b1.b1'], 'contains': ['480.a1.b1', '720.b1.b1'], 'core': '480.a1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [642, -1, 1331, -1, 984, -1, 8410, -1], 'generators': [1, 960], 'label': '1440.3398.240.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.b1', 'old_label': '240.c1.b1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.c1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382126
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '36.b1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '12.g1.a1', '18.a1.a1'], 'contains': ['72.b1.a1', '72.c1.a1', '72.e1.b1', '180.b1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [1303, -1, 3982, -1, 2544, -1, 8827, -1], 'generators': [181, 288, 720, 306], 'label': '1440.3398.36.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '36.b1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382127
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '36.b1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.b1', '12.g1.b1', '18.a1.b1'], 'contains': ['72.b1.b1', '72.c1.a1', '72.e1.a1', '180.b1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [1303, -1, 2889, -1, 2544, -1, 5779, -1], 'generators': [1081, 288, 720, 6], 'label': '1440.3398.36.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.b1', 'old_label': '36.b1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.b1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382128
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '36.c1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '12.h1.a1', '18.a1.a1'], 'contains': ['72.b1.a1', '72.d1.a1', '72.e1.b1', '180.c1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [3418, -1, 4803, -1, 3862, -1, 8236, -1], 'generators': [541, 288, 720, 306], 'label': '1440.3398.36.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '36.c1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382129
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '36.c1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.b1', '12.h1.b1', '18.a1.b1'], 'contains': ['72.b1.b1', '72.d1.a1', '72.e1.a1', '180.c1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [3418, -1, 3847, -1, 3862, -1, 5402, -1], 'generators': [1, 288, 720, 6], 'label': '1440.3398.36.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.b1', 'old_label': '36.c1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.c1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382130
    {'ambient': '1440.3398', 'aut_centralizer_order': 12, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '2.b1.a1', '2.e1.a1'], 'contains': ['8.b1.a1', '8.e1.a1', '12.b1.b1', '12.k1.a1', '20.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5940, 7288, 5471, 3615, 5137, 5741, 4256, 4421], 'generators': [6, 960, 724, 288, 1080, 720], 'label': '1440.3398.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.b1', '2.b1.a1', '2.e1.a1'], 'normal_contains': ['8.b1.a1', '12.b1.b1', '20.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382131
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 288, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '12.f1.a1', '18.a1.a1', '18.b1.a1', '18.c1.a1'], 'contains': ['72.a1.a1', '72.b1.a1', '180.d1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4753, -1, 6670, -1, 6174, -1, 4814, -1], 'generators': [306, 288, 720, 1080], 'label': '1440.3398.36.d1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '36.d1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382132
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 288, 'centralizer': '24.f1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.b1', '12.f1.b1', '18.a1.b1', '18.b1.b1', '18.c1.a1'], 'contains': ['72.a1.a1', '72.b1.b1', '180.d1.b1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4753, -1, 6431, -1, 6174, -1, 3228, -1], 'generators': [1, 288, 720, 1080], 'label': '1440.3398.36.d1.b1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '36.d1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.d1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382133
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '18.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.a1', '12.i1.b1', '12.j1.a1', '18.a1.a1', '18.a1.b1', '18.d1.a1'], 'contains': ['72.a1.a1', '72.c1.a1', '72.d1.a1', '180.e1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5450, -1, 5294, -1, 6400, -1, 4344, -1], 'generators': [723, 288, 720, 1080], 'label': '1440.3398.36.e1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.e1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382134
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 288, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.b1', '12.k1.a1', '18.a1.b1', '18.b1.a1', '18.e1.a1'], 'contains': ['72.a1.a1', '72.e1.a1', '180.f1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7021, -1, 6307, -1, 6830, -1, 2891, -1], 'generators': [6, 288, 720, 1080], 'label': '1440.3398.36.f1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '36.f1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.f1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382135
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 288, 'centralizer': '24.f1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '12.k1.b1', '18.a1.a1', '18.b1.b1', '18.e1.a1'], 'contains': ['72.a1.a1', '72.e1.b1', '180.f1.b1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7021, -1, 6794, -1, 6830, -1, 4688, -1], 'generators': [541, 288, 720, 1080], 'label': '1440.3398.36.f1.b1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '36.f1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.f1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382136
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '18.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.a1', '12.l1.b1', '12.n1.a1', '18.c1.a1', '18.d1.a1', '18.e1.a1'], 'contains': ['72.a1.a1', '180.g1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8689, -1, 8779, -1, 7902, -1, 1436, -1], 'generators': [303, 360, 720, 288], 'label': '1440.3398.36.g1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.g1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382137
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '144.186', 'aut_weyl_index': 64, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.b1.a1', '20.f1.a1', '20.f1.b1'], 'contains': ['80.a1.a1', '80.c1.a1', '120.d1.a1', '120.d1.b1', '120.e1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2965, 1067, 1324, 9293, 1796, 2475, 7646, 8147], 'generators': [363, 720, 724, 960], 'label': '1440.3398.40.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.b1.a1'], 'normal_contains': ['80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 75382138
    {'ambient': '1440.3398', 'aut_centralizer_order': 576, 'aut_label': '40.b1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 576, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '20.a1.a1', '20.a1.b1', '20.b1.a1', '20.c1.a1', '20.c1.b1', '20.d1.a1', '20.e1.a1'], 'contains': ['80.a1.a1', '120.a1.a1', '120.a1.b1', '120.i1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6406, 4332, 5762, 5755, 5807, 4882, 3986, 5189], 'generators': [1080, 724, 960, 720], 'label': '1440.3398.40.b1.a1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.b1.a1', 'normal_contained_in': ['8.b1.a1', '20.a1.b1', '20.a1.a1', '20.b1.a1', '20.c1.b1', '20.c1.a1', '20.d1.a1', '20.e1.a1'], 'normal_contains': ['80.a1.a1', '120.a1.b1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.a1', 'projective_image': '720.651', 'quotient_action_image': '4.2', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '40.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382139
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '40.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '144.186', 'aut_weyl_index': 64, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '20.b1.a1', '20.g1.a1', '20.g1.b1'], 'contains': ['80.a1.a1', '120.f1.a1', '120.f1.b1', '120.j1.a1'], 'core': '40.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4073, 1824, 3387, 8040, 4322, 4132, 6792, 5696], 'generators': [723, 720, 724, 960], 'label': '1440.3398.40.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': ['8.c1.a1', '20.b1.a1'], 'normal_contains': ['80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.c1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 75382140
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '20.a1.a1', '20.f1.a1', '20.g1.a1'], 'contains': ['80.a1.a1', '80.b1.a1', '120.b1.a1', '120.c1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2559, -1, 1960, -1, 584, -1, 9106, -1], 'generators': [306, 720, 724, 960], 'label': '1440.3398.40.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.d1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382141
    {'ambient': '1440.3398', 'aut_centralizer_order': 12, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '48.a1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.b1', '2.e1.a1'], 'contains': ['8.b1.a1', '8.e1.b1', '12.b1.a1', '12.k1.b1', '20.c1.b1'], 'core': '4.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5940, 7288, 6017, 6039, 5137, 5741, 5401, 3003], 'generators': [541, 724, 960, 288, 1080, 720], 'label': '1440.3398.4.c1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.b1', 'normal_contained_in': ['2.a1.a1', '2.b1.b1', '2.e1.a1'], 'normal_contains': ['8.b1.a1', '12.b1.a1', '20.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382142
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '20.a1.b1', '20.f1.b1', '20.g1.b1'], 'contains': ['80.a1.a1', '80.b1.b1', '120.b1.b1', '120.c1.b1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2559, -1, 1632, -1, 584, -1, 6906, -1], 'generators': [1, 720, 960, 724], 'label': '1440.3398.40.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '40.d1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382143
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '20.c1.a1', '20.f1.b1', '20.g1.b1'], 'contains': ['80.a1.a1', '120.g1.a1', '120.h1.b1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3335, -1, 2199, -1, 2774, -1, 6347, -1], 'generators': [6, 724, 720, 960], 'label': '1440.3398.40.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '40.e1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382144
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '20.c1.b1', '20.f1.a1', '20.g1.a1'], 'contains': ['80.a1.a1', '120.g1.b1', '120.h1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3335, -1, 4220, -1, 2774, -1, 8538, -1], 'generators': [541, 960, 720, 724], 'label': '1440.3398.40.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.e1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382145
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '45.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '64.254', 'aut_weyl_index': 144, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '15.a1.a1', '15.a1.b1'], 'contains': ['90.a1.a1', '90.a1.b1', '90.b1.a1', '90.b1.b1', '90.c1.a1', '90.d1.a1', '90.e1.a1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8417, -1, 9419, -1, 8513, -1, 1883, -1], 'generators': [1, 6, 180], 'label': '1440.3398.45.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '45.a1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382146
    {'ambient': '1440.3398', 'aut_centralizer_order': 576, 'aut_label': '48.a1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.b1', '24.d1.a1', '24.f1.a1', '24.g1.a1', '24.h1.a1'], 'contains': ['96.a1.a1', '144.a1.a1', '240.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1787, 3527, 1269, 6669, 2357, 6072, 7665, 4399], 'generators': [720, 288, 724], 'label': '1440.3398.48.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1', '144.a1.a1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.6', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382147
    {'ambient': '1440.3398', 'aut_centralizer_order': 576, 'aut_label': '48.a1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '2.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.b1', '24.b1.b1', '24.c1.a1', '24.d1.b1', '24.f1.b1', '24.g1.b1', '24.h1.b1'], 'contains': ['96.a1.b1', '144.a1.a1', '240.a1.b1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1787, 3527, 2655, 4053, 2357, 6072, 7161, 4723], 'generators': [720, 288, 960], 'label': '1440.3398.48.a1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '48.a1.b1', 'normal_contained_in': ['16.a1.a1', '24.a1.b1'], 'normal_contains': ['96.a1.b1', '144.a1.a1', '240.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.b1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.6', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382148
    {'ambient': '1440.3398', 'aut_centralizer_order': 576, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.e1.a1', '24.i1.a1', '24.j1.a1'], 'contains': ['96.b1.a1', '144.a1.a1', '240.b1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4576, -1, 1926, -1, 3051, -1, 7014, -1], 'generators': [720, 288, 244], 'label': '1440.3398.48.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '48.b1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382149
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.b1.a1'], 'contains': ['96.a1.a1', '144.b1.a1', '240.c1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [377, -1, 457, -1, 871, -1, 9754, -1], 'generators': [306, 288, 724], 'label': '1440.3398.48.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.c1.a1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382150
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '24.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '24.b1.b1'], 'contains': ['96.a1.b1', '144.b1.b1', '240.c1.b1'], 'core': '96.a1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [377, -1, 989, -1, 871, -1, 8445, -1], 'generators': [1, 288, 960], 'label': '1440.3398.48.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.b1', 'old_label': '48.c1.b1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382151
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '24.5', 'aut_weyl_index': 384, 'centralizer': '24.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.c1.a1'], 'contains': ['96.a1.b1', '144.b1.a1', '240.d1.a1'], 'core': '96.a1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [90, -1, 1585, -1, 702, -1, 9526, -1], 'generators': [306, 960, 288], 'label': '1440.3398.48.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1.a1', 'old_label': '48.d1.a1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382152
    {'ambient': '1440.3398', 'aut_centralizer_order': 72, 'aut_label': '4.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '128.2154', 'aut_weyl_index': 72, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.b1.b1', '2.d1.a1'], 'contains': ['8.b1.a1', '12.c1.a1', '12.c1.b1', '12.m1.a1', '20.d1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7713, 3905, 8376, 2745, 8250, 8680, 1383, 1111], 'generators': [180, 720, 960, 288, 724, 360], 'label': '1440.3398.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.b1.b1', '2.b1.a1', '2.d1.a1'], 'normal_contains': ['8.b1.a1', '12.c1.b1', '12.c1.a1', '20.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '144.145', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382153
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '24.5', 'aut_weyl_index': 384, 'centralizer': '24.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '24.c1.b1'], 'contains': ['96.a1.a1', '144.b1.b1', '240.d1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [90, -1, 97, -1, 702, -1, 8672, -1], 'generators': [1, 724, 288], 'label': '1440.3398.48.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1.b1', 'old_label': '48.d1.b1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382154
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.5', 'aut_weyl_index': 384, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.d1.a1'], 'contains': ['96.a1.a1', '144.c1.a1', '240.e1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [606, -1, 254, -1, 1286, -1, 9403, -1], 'generators': [363, 724, 288], 'label': '1440.3398.48.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '48.e1.a1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382155
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.5', 'aut_weyl_index': 384, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.d1.b1'], 'contains': ['96.a1.b1', '144.c1.a1', '240.e1.b1'], 'core': '96.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [606, -1, 1099, -1, 1286, -1, 9128, -1], 'generators': [363, 960, 288], 'label': '1440.3398.48.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.b1', 'old_label': '48.e1.b1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382156
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.5', 'aut_weyl_index': 384, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.e1.a1'], 'contains': ['96.b1.a1', '144.c1.a1', '240.f1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2896, -1, 593, -1, 1627, -1, 8796, -1], 'generators': [363, 244, 288], 'label': '1440.3398.48.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '48.f1.a1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382157
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.5', 'aut_weyl_index': 384, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.e1.a1'], 'contains': ['96.b1.a1', '144.c1.a1', '240.f1.a2'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2896, -1, 715, -1, 1627, -1, 8920, -1], 'generators': [363, 1204, 288], 'label': '1440.3398.48.f1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '48.f1.a2', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.a2', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382158
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '60.a1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '48.38', 'aut_weyl_index': 192, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1', '30.d1.a1', '30.e1.b1'], 'contains': ['120.a1.b1', '120.c1.a1', '180.d1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5650, 7353, 7706, 2434, 4726, 8055, 4228, 4190], 'generators': [306, 1080, 720, 960], 'label': '1440.3398.60.a1.a1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '60.a1.a1', 'normal_contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '60.a1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382159
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '60.a1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '48.38', 'aut_weyl_index': 192, 'centralizer': '48.a1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.b1', '20.a1.b1', '30.a1.b1', '30.d1.b1', '30.e1.a1'], 'contains': ['120.a1.a1', '120.c1.b1', '180.d1.b1'], 'core': '60.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5650, 7353, 5100, 3252, 4726, 8055, 3458, 2875], 'generators': [1, 1080, 720, 724], 'label': '1440.3398.60.a1.b1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '60.a1.b1', 'normal_contained_in': ['12.a1.b1', '20.a1.b1', '30.a1.b1'], 'normal_contains': ['120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.a1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.a1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382160
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '60.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '48.38', 'aut_weyl_index': 192, 'centralizer': '48.a1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '20.c1.b1', '30.a1.b1', '30.b1.a1', '30.h1.a1'], 'contains': ['120.a1.a1', '120.h1.a1', '180.f1.b1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6512, 7910, 5514, 4706, 5481, 7082, 5004, 2217], 'generators': [541, 1080, 720, 724], 'label': '1440.3398.60.b1.a1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '60.b1.a1', 'normal_contained_in': ['12.b1.a1', '20.c1.b1', '30.a1.b1'], 'normal_contains': ['120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.b1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382161
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '60.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '48.38', 'aut_weyl_index': 192, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.b1', '20.c1.a1', '30.a1.a1', '30.b1.b1', '30.h1.b1'], 'contains': ['120.a1.b1', '120.h1.b1', '180.f1.a1'], 'core': '60.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6512, 7910, 7625, 1877, 5481, 7082, 2785, 3855], 'generators': [6, 1080, 720, 960], 'label': '1440.3398.60.b1.b1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '60.b1.b1', 'normal_contained_in': ['12.b1.b1', '20.c1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '60.b1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.b1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382162
    {'ambient': '1440.3398', 'aut_centralizer_order': 576, 'aut_label': '60.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1152, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '20.d1.a1', '30.a1.b1', '30.c1.a1', '30.f1.a1'], 'contains': ['120.a1.a1', '180.a1.a1'], 'core': '60.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7968, 6737, 7466, 2902, 7376, 8538, 1764, 1886], 'generators': [180, 724, 360, 720], 'label': '1440.3398.60.c1.a1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '60.c1.a1', 'normal_contained_in': ['12.c1.a1', '20.d1.a1', '30.a1.b1'], 'normal_contains': ['120.a1.a1', '180.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.c1.a1', 'projective_image': '720.651', 'quotient_action_image': '4.2', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '60.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382163
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1152.133925', 'aut_weyl_index': 8, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.b1.a1', '12.l1.a1', '12.l1.b1', '12.n1.a1', '20.e1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8736, 2932, 9199, 6941, 7484, 2513, 1217, 7030], 'generators': [303, 960, 360, 720, 288, 724], 'label': '1440.3398.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.b1.a1', '20.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 75382164
    {'ambient': '1440.3398', 'aut_centralizer_order': 576, 'aut_label': '60.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1152, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.b1', '20.d1.a1', '30.a1.a1', '30.c1.b1', '30.f1.b1'], 'contains': ['120.a1.b1', '180.a1.a1'], 'core': '60.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7968, 6737, 9122, 1011, 7376, 8538, 1517, 3202], 'generators': [180, 960, 360, 720], 'label': '1440.3398.60.c1.b1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '60.c1.b1', 'normal_contained_in': ['12.c1.b1', '20.d1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.b1', '180.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.c1.b1', 'projective_image': '720.651', 'quotient_action_image': '4.2', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '60.c1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382165
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '20.f1.a1', '30.b1.a1'], 'contains': ['120.b1.a1', '120.d1.a1', '120.h1.a1', '180.b1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2489, -1, 2281, -1, 2371, -1, 9365, -1], 'generators': [181, 306, 720, 724], 'label': '1440.3398.60.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '60.d1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382166
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.b1', '20.f1.b1', '30.b1.b1'], 'contains': ['120.b1.b1', '120.d1.b1', '120.h1.b1', '180.b1.b1'], 'core': '240.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2489, -1, 3020, -1, 2371, -1, 5673, -1], 'generators': [1081, 6, 720, 960], 'label': '1440.3398.60.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '60.d1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382167
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '72.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '20.g1.a1', '30.b1.a1'], 'contains': ['120.b1.a1', '120.f1.a1', '120.h1.a1', '180.c1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3859, -1, 3684, -1, 3613, -1, 8967, -1], 'generators': [541, 306, 720, 724], 'label': '1440.3398.60.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '60.e1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382168
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '72.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.b1', '20.g1.b1', '30.b1.b1'], 'contains': ['120.b1.b1', '120.f1.b1', '120.h1.b1', '180.c1.b1'], 'core': '240.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3859, -1, 3902, -1, 3613, -1, 5250, -1], 'generators': [1, 6, 720, 960], 'label': '1440.3398.60.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '60.e1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382169
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 576, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '20.a1.a1', '30.b1.a1', '30.c1.a1', '30.e1.a1'], 'contains': ['120.a1.a1', '120.b1.a1', '180.d1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5979, -1, 5234, -1, 4897, -1, 5110, -1], 'generators': [306, 1080, 724, 720], 'label': '1440.3398.60.f1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.f1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.f1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382170
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 576, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.b1', '20.a1.b1', '30.b1.b1', '30.c1.b1', '30.e1.b1'], 'contains': ['120.a1.b1', '120.b1.b1', '180.d1.b1'], 'core': '120.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5979, -1, 6777, -1, 4897, -1, 3102, -1], 'generators': [1, 1080, 960, 720], 'label': '1440.3398.60.f1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '60.f1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.f1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382171
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '60.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '20.f1.a1', '30.d1.a1'], 'contains': ['120.c1.a1', '120.d1.b1', '120.g1.b1', '180.b1.a1'], 'core': '240.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2350, -1, 4619, -1, 2233, -1, 8120, -1], 'generators': [181, 306, 720, 960], 'label': '1440.3398.60.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '60.g1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.g1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382172
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '60.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.b1', '20.f1.b1', '30.d1.b1'], 'contains': ['120.c1.b1', '120.d1.a1', '120.g1.a1', '180.b1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2350, -1, 1577, -1, 2233, -1, 6545, -1], 'generators': [1081, 6, 720, 724], 'label': '1440.3398.60.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '60.g1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.g1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382173
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '72.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1', '20.g1.a1', '30.d1.a1'], 'contains': ['120.c1.a1', '120.f1.b1', '120.g1.b1', '180.c1.a1'], 'core': '240.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3627, -1, 5849, -1, 3385, -1, 7935, -1], 'generators': [541, 306, 720, 960], 'label': '1440.3398.60.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '60.h1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382174
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '576.8544', 'aut_weyl_index': 16, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.e1.b1', '12.d1.a1', '12.g1.a1', '20.f1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2079, -1, 2286, -1, 1642, -1, 8616, -1], 'generators': [181, 960, 288, 720, 306, 724], 'label': '1440.3398.4.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 75382175
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '72.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.b1', '20.g1.b1', '30.d1.b1'], 'contains': ['120.c1.b1', '120.f1.a1', '120.g1.a1', '180.c1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3627, -1, 2849, -1, 3385, -1, 5904, -1], 'generators': [1, 6, 720, 724], 'label': '1440.3398.60.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '60.h1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382176
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '60.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.a1', '20.b1.a1', '30.b1.a1', '30.d1.b1', '30.f1.a1'], 'contains': ['120.a1.a1', '120.d1.a1', '120.f1.a1', '180.e1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5338, -1, 4519, -1, 5102, -1, 4563, -1], 'generators': [723, 1080, 720, 724], 'label': '1440.3398.60.i1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.i1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.i1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382177
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '60.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.b1', '20.b1.a1', '30.b1.b1', '30.d1.a1', '30.f1.b1'], 'contains': ['120.a1.b1', '120.d1.b1', '120.f1.b1', '180.e1.a1'], 'core': '120.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5338, -1, 6942, -1, 5102, -1, 3849, -1], 'generators': [723, 1080, 720, 960], 'label': '1440.3398.60.i1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '60.i1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.i1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382178
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '60.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1.a1', '20.b1.a1', '30.g1.a1'], 'contains': ['120.e1.a1', '120.i1.a1', '120.j1.a1', '180.e1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7138, -1, 4964, -1, 6625, -1, 3643, -1], 'generators': [723, 1080, 720, 244], 'label': '1440.3398.60.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '60.j1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.j1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382179
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '60.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 576, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1.a1', '20.c1.a1', '30.c1.a1', '30.d1.b1', '30.h1.a1'], 'contains': ['120.a1.a1', '120.g1.a1', '180.f1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6870, -1, 5393, -1, 5307, -1, 3354, -1], 'generators': [6, 1080, 724, 720], 'label': '1440.3398.60.k1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.k1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.k1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382180
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '60.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 576, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1.b1', '20.c1.b1', '30.c1.b1', '30.d1.a1', '30.h1.b1'], 'contains': ['120.a1.b1', '120.g1.b1', '180.f1.b1'], 'core': '120.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6870, -1, 8100, -1, 5307, -1, 4124, -1], 'generators': [541, 1080, 960, 720], 'label': '1440.3398.60.k1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '60.k1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.k1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382181
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '60.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.a1', '20.e1.a1', '30.e1.a1', '30.f1.a1', '30.h1.a1'], 'contains': ['120.a1.a1', '180.g1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9387, -1, 8640, -1, 7241, -1, 1681, -1], 'generators': [303, 360, 720, 724], 'label': '1440.3398.60.l1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.l1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.l1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382182
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '60.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.b1', '20.e1.a1', '30.e1.b1', '30.f1.b1', '30.h1.b1'], 'contains': ['120.a1.b1', '180.g1.a1'], 'core': '120.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9387, -1, 9864, -1, 7241, -1, 1354, -1], 'generators': [303, 360, 720, 960], 'label': '1440.3398.60.l1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '60.l1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.l1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382183
    {'ambient': '1440.3398', 'aut_centralizer_order': 576, 'aut_label': '60.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1152, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.m1.a1', '20.d1.a1', '30.g1.a1'], 'contains': ['120.i1.a1', '180.a1.a1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9687, -1, 8379, -1, 8511, -1, 1055, -1], 'generators': [180, 244, 360, 720], 'label': '1440.3398.60.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '60.m1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382184
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '60.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 384, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.a1', '20.e1.a1', '30.g1.a1'], 'contains': ['120.i1.a1', '180.g1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9910, -1, 9007, -1, 8037, -1, 928, -1], 'generators': [303, 360, 720, 244], 'label': '1440.3398.60.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '60.n1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.n1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382185
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '576.8544', 'aut_weyl_index': 16, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1'], 'contains': ['8.a1.a1', '8.d1.b1', '8.e1.a1', '12.d1.b1', '12.g1.b1', '20.f1.b1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2079, -1, 1628, -1, 1642, -1, 7355, -1], 'generators': [1081, 960, 288, 720, 6, 724], 'label': '1440.3398.4.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '4.f1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.b1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 75382186
    {'ambient': '1440.3398', 'aut_centralizer_order': 1152, 'aut_label': '72.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '24.a1.b1', '24.i1.a1', '36.a1.a1', '36.d1.a1', '36.d1.b1', '36.e1.a1', '36.f1.a1', '36.f1.b1', '36.g1.a1'], 'contains': ['144.a1.a1', '360.a1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6287, 8721, 6346, 1735, 6417, 7571, 3816, 2551], 'generators': [1080, 720, 288], 'label': '1440.3398.72.a1.a1', 'mobius_quo': 0, 'mobius_sub': -72, 'normal_closure': '72.a1.a1', 'normal_contained_in': ['24.a1.b1', '24.a1.a1', '36.a1.a1'], 'normal_contains': ['144.a1.a1', '360.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.a1.a1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.13', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382187
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '72.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '12.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '24.c1.a1', '36.b1.a1', '36.c1.a1', '36.d1.a1'], 'contains': ['144.a1.a1', '144.b1.a1', '360.b1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1355, -1, 3570, -1, 2167, -1, 8119, -1], 'generators': [306, 288, 720], 'label': '1440.3398.72.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '72.b1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382188
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '72.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '12.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.b1', '24.c1.b1', '36.b1.b1', '36.c1.b1', '36.d1.b1'], 'contains': ['144.a1.a1', '144.b1.b1', '360.b1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1355, -1, 2804, -1, 2167, -1, 6309, -1], 'generators': [1, 288, 720], 'label': '1440.3398.72.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '72.b1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382189
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '18.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '24.d1.b1', '24.e1.a1', '36.b1.a1', '36.b1.b1', '36.e1.a1'], 'contains': ['144.a1.a1', '144.c1.a1', '360.c1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [1605, -1, 2313, -1, 2861, -1, 7402, -1], 'generators': [363, 288, 720], 'label': '1440.3398.72.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '72.c1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382190
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '9.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '24.f1.b1', '24.j1.a1', '36.c1.a1', '36.c1.b1', '36.e1.a1'], 'contains': ['144.a1.a1', '360.d1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4527, -1, 4177, -1, 4150, -1, 6745, -1], 'generators': [723, 720, 288], 'label': '1440.3398.72.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '72.d1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382191
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '12.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '24.h1.b1', '36.b1.b1', '36.c1.b1', '36.f1.a1'], 'contains': ['144.a1.a1', '360.e1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1913, -1, 3307, -1, 3673, -1, 5756, -1], 'generators': [6, 720, 288], 'label': '1440.3398.72.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '72.e1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382192
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.b1', '24.h1.a1', '36.b1.a1', '36.c1.a1', '36.f1.b1'], 'contains': ['144.a1.a1', '360.e1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1913, -1, 4702, -1, 3673, -1, 7937, -1], 'generators': [541, 720, 288], 'label': '1440.3398.72.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '72.e1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382193
    {'ambient': '1440.3398', 'aut_centralizer_order': 1152, 'aut_label': '80.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1152, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.a1', '40.c1.a1', '40.d1.a1', '40.d1.b1', '40.e1.a1', '40.e1.b1'], 'contains': ['160.a1.a1', '240.a1.a1', '240.a1.b1', '240.b1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3186, 2235, 1856, 6989, 2635, 4540, 7263, 5189], 'generators': [720, 724, 960], 'label': '1440.3398.80.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.a1', '40.c1.a1'], 'normal_contains': ['160.a1.a1', '240.a1.b1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.a1.a1', 'projective_image': '720.651', 'quotient_action_image': '4.2', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382194
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '40.d1.a1'], 'contains': ['160.a1.a1', '240.c1.a1', '240.d1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [699, -1, 808, -1, 498, -1, 9651, -1], 'generators': [306, 724, 960], 'label': '1440.3398.80.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1.a1', 'old_label': '80.b1.a1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382195
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '40.d1.b1'], 'contains': ['160.a1.a1', '240.c1.b1', '240.d1.b1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [699, -1, 53, -1, 498, -1, 8548, -1], 'generators': [1, 960, 724], 'label': '1440.3398.80.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1.b1', 'old_label': '80.b1.b1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.b1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382196
    {'ambient': '1440.3398', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '144.a1.a1', 'complements': ['720.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.b1', '4.f1.a1', '4.g1.a1', '6.b1.a1', '6.d1.a1', '10.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4983, 6056, 4961, 7587, 4299, 5985, 5578, 8995], 'generators': [541, 724, 1080, 288, 306, 960, 720], 'label': '1440.3398.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.b1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '144.145'}
  • id: 75382197
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '576.8544', 'aut_weyl_index': 16, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.d1.a1', '8.e1.b1', '12.e1.a1', '12.h1.a1', '20.g1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3110, -1, 3375, -1, 2683, -1, 8419, -1], 'generators': [541, 960, 288, 720, 306, 724], 'label': '1440.3398.4.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.g1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 75382198
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '72.40', 'aut_weyl_index': 128, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '40.a1.a1'], 'contains': ['160.a1.a1', '240.e1.a1', '240.e1.b1', '240.f1.a1', '240.f1.a2'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1733, -1, 349, -1, 1456, -1, 9024, -1], 'generators': [363, 724, 960], 'label': '1440.3398.80.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '80.c1.a1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1.a1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
  • id: 75382199
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '90.a1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '16.11', 'aut_weyl_index': 576, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '30.b1.a1', '30.d1.a1', '45.a1.a1'], 'contains': ['180.b1.a1', '180.c1.a1', '180.d1.a1', '180.e1.a1', '180.f1.b1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5146, -1, 7133, -1, 6000, -1, 4920, -1], 'generators': [541, 306, 1080], 'label': '1440.3398.90.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '90.a1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382200
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '90.a1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '16.11', 'aut_weyl_index': 576, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.b1', '30.b1.b1', '30.d1.b1', '45.a1.a1'], 'contains': ['180.b1.b1', '180.c1.b1', '180.d1.b1', '180.e1.a1', '180.f1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5146, -1, 6157, -1, 6000, -1, 2996, -1], 'generators': [1, 6, 1080], 'label': '1440.3398.90.a1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '90.a1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.a1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382201
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '90.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 576, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.a1', '30.a1.a1', '30.c1.a1', '45.a1.a1'], 'contains': ['180.a1.a1', '180.d1.a1', '180.f1.a1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8026, -1, 8686, -1, 7625, -1, 2317, -1], 'generators': [6, 180], 'label': '1440.3398.90.b1.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '30.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '90.b1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382202
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '90.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 576, 'centralizer': '24.f1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.b1', '30.a1.b1', '30.c1.b1', '45.a1.a1'], 'contains': ['180.a1.a1', '180.d1.b1', '180.f1.b1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8026, -1, 8918, -1, 7625, -1, 2520, -1], 'generators': [1, 180], 'label': '1440.3398.90.b1.b1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '30.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '90.b1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.b1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382203
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '90.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '32.43', 'aut_weyl_index': 288, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.c1.a1', '30.e1.a1', '30.e1.b1', '45.a1.a1'], 'contains': ['180.d1.a1', '180.d1.b1', '180.g1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7619, -1, 8516, -1, 7497, -1, 2685, -1], 'generators': [1, 306], 'label': '1440.3398.90.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '90.c1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382204
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '90.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1152, 'centralizer': '18.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1.a1', '30.f1.a1', '30.f1.b1', '30.g1.a1', '45.a1.a1'], 'contains': ['180.a1.a1', '180.e1.a1', '180.g1.a1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8491, -1, 9594, -1, 8209, -1, 1239, -1], 'generators': [723, 180], 'label': '1440.3398.90.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '10.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '90.d1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382205
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '90.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '32.43', 'aut_weyl_index': 288, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1.a1', '30.h1.a1', '30.h1.b1', '45.a1.a1'], 'contains': ['180.f1.a1', '180.f1.b1', '180.g1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8870, -1, 9453, -1, 7767, -1, 1883, -1], 'generators': [541, 6], 'label': '1440.3398.90.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '10.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '90.e1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382206
    {'ambient': '1440.3398', 'aut_centralizer_order': 576, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '2.b1.a1', 'complements': ['15.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.c1.a1', '48.d1.b1', '48.e1.a1'], 'contains': ['288.a1.a1', '480.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [391, 3116, 168, 6645, 1237, 5637, 9214, 4987], 'generators': [724, 288], 'label': '1440.3398.96.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1'], 'normal_contains': ['288.a1.a1', '480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '288.457', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.6', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382207
    {'ambient': '1440.3398', 'aut_centralizer_order': 576, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '2.b1.b1', 'complements': ['15.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.b1', '48.c1.b1', '48.d1.a1', '48.e1.b1'], 'contains': ['288.a1.a1', '480.a1.b1'], 'core': '96.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [391, 3116, 1138, 5593, 1237, 5637, 8991, 5310], 'generators': [960, 288], 'label': '1440.3398.96.a1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1.b1', 'normal_contained_in': ['32.a1.a1', '48.a1.b1'], 'normal_contains': ['288.a1.a1', '480.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.b1', 'projective_image': '288.457', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.6', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382208
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '576.8544', 'aut_weyl_index': 16, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1'], 'contains': ['8.c1.a1', '8.d1.b1', '8.e1.a1', '12.e1.b1', '12.h1.b1', '20.g1.b1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3110, -1, 2718, -1, 2683, -1, 7050, -1], 'generators': [1, 960, 288, 720, 6, 724], 'label': '1440.3398.4.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '4.g1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.b1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 75382209
    {'ambient': '1440.3398', 'aut_centralizer_order': 576, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1152, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.b1.a1', '48.f1.a1', '48.f1.a2'], 'contains': ['288.a1.a1', '480.b1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2898, -1, 617, -1, 1735, -1, 8763, -1], 'generators': [244, 288], 'label': '1440.3398.96.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '96.b1.a1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382210
    {'ambient': '1440.3398', 'aut_centralizer_order': 1152, 'aut_label': '120.a1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.b1.a1', '60.a1.b1', '60.b1.a1', '60.c1.a1', '60.f1.a1', '60.i1.a1', '60.k1.a1', '60.l1.a1'], 'contains': ['240.a1.a1', '360.a1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6132, 7353, 5315, 4301, 5481, 7093, 4022, 2875], 'generators': [1080, 724, 720], 'label': '1440.3398.120.a1.a1', 'mobius_quo': 0, 'mobius_sub': -24, 'normal_closure': '120.a1.a1', 'normal_contained_in': ['24.a1.a1', '40.b1.a1', '60.a1.b1', '60.b1.a1', '60.c1.a1'], 'normal_contains': ['240.a1.a1', '360.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.a1.a1', 'projective_image': '720.651', 'quotient_action_image': '4.2', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382211
    {'ambient': '1440.3398', 'aut_centralizer_order': 1152, 'aut_label': '120.a1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.b1', '40.b1.a1', '60.a1.a1', '60.b1.b1', '60.c1.b1', '60.f1.b1', '60.i1.b1', '60.k1.b1', '60.l1.b1'], 'contains': ['240.a1.b1', '360.a1.a1'], 'core': '120.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6132, 7353, 6848, 2169, 5481, 7093, 3735, 3855], 'generators': [1080, 960, 720], 'label': '1440.3398.120.a1.b1', 'mobius_quo': 0, 'mobius_sub': -24, 'normal_closure': '120.a1.b1', 'normal_contained_in': ['24.a1.b1', '40.b1.a1', '60.a1.a1', '60.b1.b1', '60.c1.b1'], 'normal_contains': ['240.a1.b1', '360.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.a1.b1', 'projective_image': '720.651', 'quotient_action_image': '4.2', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '120.a1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382212
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '120.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '40.d1.a1', '60.d1.a1', '60.e1.a1', '60.f1.a1'], 'contains': ['240.a1.a1', '240.c1.a1', '360.b1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2438, -1, 2095, -1, 1941, -1, 8342, -1], 'generators': [306, 720, 724], 'label': '1440.3398.120.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '120.b1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382213
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '120.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '24.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.b1', '40.d1.b1', '60.d1.b1', '60.e1.b1', '60.f1.b1'], 'contains': ['240.a1.b1', '240.c1.b1', '360.b1.b1'], 'core': '240.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2438, -1, 3088, -1, 1941, -1, 6171, -1], 'generators': [1, 720, 960], 'label': '1440.3398.120.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '120.b1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.b1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382214
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '24.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '40.d1.a1', '60.a1.a1', '60.g1.a1', '60.h1.a1'], 'contains': ['240.a1.b1', '240.d1.a1', '360.b1.a1'], 'core': '240.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2598, -1, 4224, -1, 1784, -1, 7863, -1], 'generators': [306, 720, 960], 'label': '1440.3398.120.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.c1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382215
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '24.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.b1', '40.d1.b1', '60.a1.b1', '60.g1.b1', '60.h1.b1'], 'contains': ['240.a1.a1', '240.d1.b1', '360.b1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2598, -1, 1494, -1, 1784, -1, 6671, -1], 'generators': [1, 720, 724], 'label': '1440.3398.120.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '120.c1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.c1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382216
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '120.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '40.a1.a1', '60.d1.a1', '60.g1.b1', '60.i1.a1'], 'contains': ['240.a1.a1', '240.e1.a1', '360.c1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2279, -1, 1589, -1, 2478, -1, 7591, -1], 'generators': [363, 720, 724], 'label': '1440.3398.120.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '120.d1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382217
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '120.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.b1', '40.a1.a1', '60.d1.b1', '60.g1.a1', '60.i1.b1'], 'contains': ['240.a1.b1', '240.e1.b1', '360.c1.a1'], 'core': '240.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [2279, -1, 2677, -1, 2478, -1, 7087, -1], 'generators': [363, 720, 960], 'label': '1440.3398.120.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '120.d1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.d1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382218
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '120.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '40.a1.a1', '60.j1.a1'], 'contains': ['240.b1.a1', '240.f1.a1', '240.f1.a2', '360.c1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4553, -1, 1039, -1, 3172, -1, 6940, -1], 'generators': [363, 720, 244], 'label': '1440.3398.120.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '120.e1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.e1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382219
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '144.a1.a1', 'complements': ['288.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.a1.b1', '10.b1.a1', '10.b1.b1', '10.c1.a1', '10.d1.a1', '10.e1.a1', '15.a1.a1', '15.a1.b1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8164, 5391, 6806, 6488, 6021, 4958, 3109, 7415], 'generators': [1, 724, 720, 6, 960, 180, 360], 'label': '1440.3398.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.b1', '10.a1.a1', '10.b1.b1', '10.b1.a1', '10.c1.a1', '10.d1.a1', '10.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '720.651', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '144.145'}
  • id: 75382220
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '18.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '40.c1.a1', '60.e1.a1', '60.h1.b1', '60.i1.a1'], 'contains': ['240.a1.a1', '360.d1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4100, -1, 3287, -1, 4014, -1, 6828, -1], 'generators': [723, 720, 724], 'label': '1440.3398.120.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '120.f1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.f1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382221
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '18.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.b1', '40.c1.a1', '60.e1.b1', '60.h1.a1', '60.i1.b1'], 'contains': ['240.a1.b1', '360.d1.a1'], 'core': '240.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4100, -1, 4390, -1, 4014, -1, 6596, -1], 'generators': [723, 720, 960], 'label': '1440.3398.120.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '120.f1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.f1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382222
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '24.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '40.e1.a1', '60.g1.b1', '60.h1.b1', '60.k1.a1'], 'contains': ['240.a1.a1', '360.e1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3577, -1, 2359, -1, 3402, -1, 6425, -1], 'generators': [6, 724, 720], 'label': '1440.3398.120.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '120.g1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382223
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '24.g1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.b1', '40.e1.b1', '60.g1.a1', '60.h1.a1', '60.k1.b1'], 'contains': ['240.a1.b1', '360.e1.b1'], 'core': '240.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3577, -1, 5738, -1, 3402, -1, 7518, -1], 'generators': [541, 960, 720], 'label': '1440.3398.120.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '120.g1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.g1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382224
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '24.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '40.e1.b1', '60.b1.a1', '60.d1.a1', '60.e1.a1'], 'contains': ['240.a1.a1', '360.e1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3344, -1, 4072, -1, 3537, -1, 8237, -1], 'generators': [541, 720, 724], 'label': '1440.3398.120.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.h1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382225
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '24.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.b1', '40.e1.a1', '60.b1.b1', '60.d1.b1', '60.e1.b1'], 'contains': ['240.a1.b1', '360.e1.a1'], 'core': '240.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3344, -1, 3370, -1, 3537, -1, 5673, -1], 'generators': [6, 720, 960], 'label': '1440.3398.120.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '120.h1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382226
    {'ambient': '1440.3398', 'aut_centralizer_order': 1152, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.a1', '40.b1.a1', '60.j1.a1', '60.m1.a1', '60.n1.a1'], 'contains': ['240.b1.a1', '360.a1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9270, -1, 5658, -1, 6625, -1, 3643, -1], 'generators': [1080, 244, 720], 'label': '1440.3398.120.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '120.i1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382227
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '120.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.4', 'aut_weyl_index': 768, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.a1', '40.c1.a1', '60.j1.a1'], 'contains': ['240.b1.a1', '360.d1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4972, -1, 3808, -1, 4322, -1, 6066, -1], 'generators': [723, 720, 244], 'label': '1440.3398.120.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '120.j1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.j1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382228
    {'ambient': '1440.3398', 'aut_centralizer_order': 2304, 'aut_label': '144.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 2304, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '48.a1.b1', '48.b1.a1', '72.a1.a1', '72.b1.a1', '72.b1.b1', '72.c1.a1', '72.d1.a1', '72.e1.a1', '72.e1.b1'], 'contains': ['288.a1.a1', '720.a1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1696, 4111, 2816, 3568, 2894, 6507, 7209, 4135], 'generators': [720, 288], 'label': '1440.3398.144.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '144.a1.a1', 'normal_contained_in': ['48.a1.b1', '48.a1.a1', '72.a1.a1'], 'normal_contains': ['288.a1.a1', '720.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.a1.a1', 'projective_image': '144.145', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.145', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382229
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '144.b1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.1', 'aut_weyl_index': 2304, 'centralizer': '12.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '48.d1.a1', '72.b1.a1'], 'contains': ['288.a1.a1', '720.b1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [545, -1, 1811, -1, 1105, -1, 9361, -1], 'generators': [306, 288], 'label': '1440.3398.144.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '144.b1.a1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382230
    {'ambient': '1440.3398', 'aut_centralizer_order': 12, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '48.a1.a1', 'complements': ['240.d1.b1', '240.f1.a2', '240.e1.a1', '240.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.b1'], 'contains': ['12.a1.a1', '12.b1.b1', '12.c1.b1', '18.b1.a1', '30.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6709, 8445, 7706, 423, 6924, 9598, 1995, 1732], 'generators': [6, 960, 288, 360, 180, 720], 'label': '1440.3398.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.b1', '12.c1.b1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382231
    {'ambient': '1440.3398', 'aut_centralizer_order': 96, 'aut_label': '144.b1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.1', 'aut_weyl_index': 2304, 'centralizer': '12.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1.b1', '48.d1.b1', '72.b1.b1'], 'contains': ['288.a1.a1', '720.b1.b1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [545, -1, 1103, -1, 1105, -1, 8483, -1], 'generators': [1, 288], 'label': '1440.3398.144.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.b1', 'old_label': '144.b1.b1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382232
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '144.c1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.1', 'aut_weyl_index': 2304, 'centralizer': '18.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '48.e1.b1', '48.f1.a1', '48.f1.a2', '72.c1.a1'], 'contains': ['288.a1.a1', '720.c1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [1155, -1, 818, -1, 1603, -1, 8910, -1], 'generators': [363, 288], 'label': '1440.3398.144.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.d1.a1', 'old_label': '144.c1.a1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382233
    {'ambient': '1440.3398', 'aut_centralizer_order': 1152, 'aut_label': '160.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1152, 'centralizer': '4.d1.a1', 'complements': ['9.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '80.a1.a1', '80.b1.a1', '80.b1.b1', '80.c1.a1'], 'contains': ['480.a1.a1', '480.a1.b1', '480.b1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1035, 2586, 305, 6976, 1366, 4540, 9069, 5623], 'generators': [724, 960], 'label': '1440.3398.160.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': ['32.a1.a1', '80.a1.a1'], 'normal_contains': ['480.a1.b1', '480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '160.a1.a1', 'projective_image': '1440.3398', 'quotient_action_image': '4.2', 'quotient_action_kernel': '40.2', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '160.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382234
    {'ambient': '1440.3398', 'aut_centralizer_order': 2304, 'aut_label': '180.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '60.c1.a1', '60.c1.b1', '60.m1.a1', '90.b1.a1', '90.b1.b1', '90.d1.a1'], 'contains': ['360.a1.a1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8155, 8456, 8760, 1491, 8042, 8538, 1681, 2074], 'generators': [180], 'label': '1440.3398.180.a1.a1', 'mobius_quo': 0, 'mobius_sub': -18, 'normal_closure': '180.a1.a1', 'normal_contained_in': ['36.a1.a1', '60.c1.b1', '60.c1.a1'], 'normal_contains': ['360.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '180.a1.a1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '90.8', 'quotient_action_kernel_order': 90, 'quotient_fusion': None, 'short_label': '180.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382235
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '180.b1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1.a1', '60.d1.a1', '60.g1.a1', '90.a1.a1'], 'contains': ['360.b1.a1', '360.c1.a1', '360.e1.b1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [2105, -1, 4343, -1, 3281, -1, 8010, -1], 'generators': [181, 306], 'label': '1440.3398.180.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '180.b1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382236
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '180.b1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1.b1', '60.d1.b1', '60.g1.b1', '90.a1.b1'], 'contains': ['360.b1.b1', '360.c1.a1', '360.e1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [2105, -1, 2845, -1, 3281, -1, 5830, -1], 'generators': [1081, 6], 'label': '1440.3398.180.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.b1', 'old_label': '180.b1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.b1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382237
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '180.c1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '36.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1.a1', '60.e1.a1', '60.h1.a1', '90.a1.a1'], 'contains': ['360.b1.a1', '360.d1.a1', '360.e1.b1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [3963, -1, 5180, -1, 3842, -1, 7767, -1], 'generators': [541, 306], 'label': '1440.3398.180.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '180.c1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382238
    {'ambient': '1440.3398', 'aut_centralizer_order': 64, 'aut_label': '180.c1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '36.c1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1.b1', '60.e1.b1', '60.h1.b1', '90.a1.b1'], 'contains': ['360.b1.b1', '360.d1.a1', '360.e1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [3963, -1, 4083, -1, 3842, -1, 5568, -1], 'generators': [1, 6], 'label': '1440.3398.180.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.b1', 'old_label': '180.c1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.c1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382239
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '180.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1152, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.a1', '60.a1.a1', '60.f1.a1', '90.a1.a1', '90.b1.a1', '90.c1.a1'], 'contains': ['360.a1.a1', '360.b1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5776, -1, 7071, -1, 5982, -1, 4522, -1], 'generators': [306, 1080], 'label': '1440.3398.180.d1.a1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '180.d1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382240
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '180.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1152, 'centralizer': '24.f1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.b1', '60.a1.b1', '60.f1.b1', '90.a1.b1', '90.b1.b1', '90.c1.a1'], 'contains': ['360.a1.a1', '360.b1.b1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5776, -1, 6182, -1, 5982, -1, 3166, -1], 'generators': [1, 1080], 'label': '1440.3398.180.d1.b1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '60.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '180.d1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.d1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382241
    {'ambient': '1440.3398', 'aut_centralizer_order': 12, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '48.a1.b1', 'complements': ['240.d1.a1', '240.e1.b1', '240.f1.a2', '240.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '3.a1.a1'], 'contains': ['12.a1.b1', '12.b1.a1', '12.c1.a1', '18.b1.b1', '30.a1.b1'], 'core': '6.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6709, 8445, 7119, 2181, 6924, 9598, 3783, 490], 'generators': [1, 724, 288, 360, 180, 720], 'label': '1440.3398.6.a1.b1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.b1', 'normal_contained_in': ['2.b1.b1'], 'normal_contains': ['12.a1.b1', '12.b1.a1', '12.c1.a1', '30.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.b1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382242
    {'ambient': '1440.3398', 'aut_centralizer_order': 256, 'aut_label': '180.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '18.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.e1.a1', '60.i1.a1', '60.i1.b1', '60.j1.a1', '90.a1.a1', '90.a1.b1', '90.d1.a1'], 'contains': ['360.a1.a1', '360.c1.a1', '360.d1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5226, -1, 6507, -1, 6139, -1, 3919, -1], 'generators': [723, 1080], 'label': '1440.3398.180.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '180.e1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382243
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '180.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1152, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.f1.a1', '60.b1.b1', '60.k1.a1', '90.a1.b1', '90.b1.a1', '90.e1.a1'], 'contains': ['360.a1.a1', '360.e1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7067, -1, 6352, -1, 6296, -1, 2944, -1], 'generators': [6, 1080], 'label': '1440.3398.180.f1.a1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '60.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '180.f1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.f1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382244
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '180.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1152, 'centralizer': '24.f1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.f1.b1', '60.b1.a1', '60.k1.b1', '90.a1.a1', '90.b1.b1', '90.e1.a1'], 'contains': ['360.a1.a1', '360.e1.b1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7067, -1, 7912, -1, 6296, -1, 4290, -1], 'generators': [541, 1080], 'label': '1440.3398.180.f1.b1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '60.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '180.f1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.f1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382245
    {'ambient': '1440.3398', 'aut_centralizer_order': 256, 'aut_label': '180.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2304, 'centralizer': '18.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.a1', '60.l1.a1', '60.l1.b1', '60.n1.a1', '90.c1.a1', '90.d1.a1', '90.e1.a1'], 'contains': ['360.a1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8771, -1, 9190, -1, 7767, -1, 1567, -1], 'generators': [303], 'label': '1440.3398.180.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '20.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '180.g1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382246
    {'ambient': '1440.3398', 'aut_centralizer_order': 2304, 'aut_label': '240.a1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1', '120.b1.a1', '120.c1.b1', '120.d1.a1', '120.f1.a1', '120.g1.a1', '120.h1.a1'], 'contains': ['480.a1.a1', '720.a1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3024, 3527, 1674, 6046, 2635, 6072, 7283, 4429], 'generators': [720, 724], 'label': '1440.3398.240.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '240.a1.a1', 'normal_contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1'], 'normal_contains': ['480.a1.a1', '720.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.a1.a1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '120.23', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '240.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382247
    {'ambient': '1440.3398', 'aut_centralizer_order': 2304, 'aut_label': '240.a1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '2.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.b1', '80.a1.a1', '120.a1.b1', '120.b1.b1', '120.c1.a1', '120.d1.b1', '120.f1.b1', '120.g1.b1', '120.h1.b1'], 'contains': ['480.a1.b1', '720.a1.a1'], 'core': '240.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3024, 3527, 3149, 4439, 2635, 6072, 7060, 4693], 'generators': [720, 960], 'label': '1440.3398.240.a1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '240.a1.b1', 'normal_contained_in': ['48.a1.b1', '80.a1.a1', '120.a1.b1'], 'normal_contains': ['480.a1.b1', '720.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.a1.b1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '120.23', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '240.a1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382248
    {'ambient': '1440.3398', 'aut_centralizer_order': 2304, 'aut_label': '240.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1.a1', '80.a1.a1', '120.e1.a1', '120.i1.a1', '120.j1.a1'], 'contains': ['480.b1.a1', '720.a1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4721, -1, 2112, -1, 3139, -1, 6994, -1], 'generators': [720, 244], 'label': '1440.3398.240.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '240.b1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382249
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '240.c1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '80.b1.a1', '120.b1.a1'], 'contains': ['480.a1.a1', '720.b1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [642, -1, 783, -1, 984, -1, 9434, -1], 'generators': [306, 724], 'label': '1440.3398.240.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '240.c1.a1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382251
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1536, 'centralizer': '24.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '80.b1.a1', '120.c1.a1'], 'contains': ['480.a1.b1', '720.b1.a1'], 'core': '480.a1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [753, -1, 1881, -1, 875, -1, 9287, -1], 'generators': [306, 960], 'label': '1440.3398.240.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1.a1', 'old_label': '240.d1.a1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.d1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382252
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.d1.a1', '12.e1.a1', '12.f1.a1', '12.i1.a1', '18.a1.a1', '30.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4807, -1, 4800, -1, 4568, -1, 6178, -1], 'generators': [541, 724, 1080, 288, 306, 720], 'label': '1440.3398.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382253
    {'ambient': '1440.3398', 'aut_centralizer_order': 192, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1536, 'centralizer': '24.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.b1', '80.b1.b1', '120.c1.b1'], 'contains': ['480.a1.a1', '720.b1.b1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [753, -1, 288, -1, 875, -1, 8557, -1], 'generators': [1, 724], 'label': '1440.3398.240.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1.b1', 'old_label': '240.d1.b1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.d1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382254
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '240.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1536, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '80.c1.a1', '120.d1.a1'], 'contains': ['480.a1.a1', '720.c1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1517, -1, 353, -1, 1482, -1, 9140, -1], 'generators': [363, 724], 'label': '1440.3398.240.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '240.e1.a1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.e1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382255
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '240.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1536, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.b1', '80.c1.a1', '120.d1.b1'], 'contains': ['480.a1.b1', '720.c1.a1'], 'core': '480.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1517, -1, 1179, -1, 1482, -1, 8836, -1], 'generators': [363, 960], 'label': '1440.3398.240.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.b1', 'old_label': '240.e1.b1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.e1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382256
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '240.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1536, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.f1.a1', '80.c1.a1', '120.e1.a1'], 'contains': ['480.b1.a1', '720.c1.a1'], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2894, -1, 525, -1, 1856, -1, 8623, -1], 'generators': [363, 244], 'label': '1440.3398.240.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '240.f1.a1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.f1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382257
    {'ambient': '1440.3398', 'aut_centralizer_order': 128, 'aut_label': '240.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1536, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.f1.a2', '80.c1.a1', '120.e1.a1'], 'contains': ['480.b1.a1', '720.c1.a1'], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2894, -1, 646, -1, 1856, -1, 8689, -1], 'generators': [363, 1204], 'label': '1440.3398.240.f1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '240.f1.a2', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.f1.a2', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382258
    {'ambient': '1440.3398', 'aut_centralizer_order': 2304, 'aut_label': '288.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 2304, 'centralizer': '1.a1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '96.a1.b1', '96.b1.a1', '144.a1.a1', '144.b1.a1', '144.b1.b1', '144.c1.a1'], 'contains': ['1440.a1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1214, 3500, 1016, 5511, 1560, 6093, 8909, 4737], 'generators': [288], 'label': '1440.3398.288.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '288.a1.a1', 'normal_contained_in': ['96.a1.b1', '96.a1.a1', '144.a1.a1'], 'normal_contains': ['1440.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '288.a1.a1', 'projective_image': '288.457', 'quotient_action_image': '1.1', 'quotient_action_kernel': '288.457', 'quotient_action_kernel_order': 288, 'quotient_fusion': None, 'short_label': '288.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382259
    {'ambient': '1440.3398', 'aut_centralizer_order': 4608, 'aut_label': '360.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '120.a1.a1', '120.a1.b1', '120.i1.a1', '180.a1.a1', '180.d1.a1', '180.d1.b1', '180.e1.a1', '180.f1.a1', '180.f1.b1', '180.g1.a1'], 'contains': ['720.a1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6485, 8629, 6575, 2169, 6296, 7332, 3776, 2875], 'generators': [1080], 'label': '1440.3398.360.a1.a1', 'mobius_quo': 0, 'mobius_sub': 72, 'normal_closure': '360.a1.a1', 'normal_contained_in': ['72.a1.a1', '120.a1.b1', '120.a1.a1', '180.a1.a1'], 'normal_contains': ['720.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '360.a1.a1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '180.35', 'quotient_action_kernel_order': 180, 'quotient_fusion': None, 'short_label': '360.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382260
    {'ambient': '1440.3398', 'aut_centralizer_order': 384, 'aut_label': '360.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '12.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.b1.a1', '120.b1.a1', '120.c1.a1', '180.b1.a1', '180.c1.a1', '180.d1.a1'], 'contains': ['720.a1.a1', '720.b1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2378, -1, 4138, -1, 2342, -1, 7937, -1], 'generators': [306, 720], 'label': '1440.3398.360.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '360.b1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382261
    {'ambient': '1440.3398', 'aut_centralizer_order': 384, 'aut_label': '360.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '12.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.b1.b1', '120.b1.b1', '120.c1.b1', '180.b1.b1', '180.c1.b1', '180.d1.b1'], 'contains': ['720.a1.a1', '720.b1.b1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2378, -1, 2991, -1, 2342, -1, 6240, -1], 'generators': [1, 720], 'label': '1440.3398.360.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '360.b1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382262
    {'ambient': '1440.3398', 'aut_centralizer_order': 512, 'aut_label': '360.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '18.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1.a1', '120.d1.a1', '120.d1.b1', '120.e1.a1', '180.b1.a1', '180.b1.b1', '180.e1.a1'], 'contains': ['720.a1.a1', '720.c1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2145, -1, 2531, -1, 3023, -1, 7131, -1], 'generators': [363, 720], 'label': '1440.3398.360.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '360.c1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382263
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '3.a1.b1'], 'contains': ['12.b1.b1', '12.d1.b1', '12.e1.b1', '12.f1.b1', '12.i1.b1', '18.a1.b1', '30.b1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4807, -1, 5771, -1, 4568, -1, 4090, -1], 'generators': [1, 960, 1080, 288, 6, 720], 'label': '1440.3398.6.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '6.b1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382264
    {'ambient': '1440.3398', 'aut_centralizer_order': 512, 'aut_label': '360.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '9.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.d1.a1', '120.f1.a1', '120.f1.b1', '120.j1.a1', '180.c1.a1', '180.c1.b1', '180.e1.a1'], 'contains': ['720.a1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4602, -1, 4359, -1, 4082, -1, 6671, -1], 'generators': [723], 'label': '1440.3398.360.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '360.d1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382265
    {'ambient': '1440.3398', 'aut_centralizer_order': 384, 'aut_label': '360.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '12.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.e1.a1', '120.g1.a1', '120.h1.b1', '180.b1.b1', '180.c1.b1', '180.f1.a1'], 'contains': ['720.a1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3519, -1, 3304, -1, 3537, -1, 5756, -1], 'generators': [6], 'label': '1440.3398.360.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '360.e1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382266
    {'ambient': '1440.3398', 'aut_centralizer_order': 384, 'aut_label': '360.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.e1.b1', '120.g1.b1', '120.h1.a1', '180.b1.a1', '180.c1.a1', '180.f1.b1'], 'contains': ['720.a1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3519, -1, 5103, -1, 3537, -1, 7767, -1], 'generators': [541], 'label': '1440.3398.360.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '360.e1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382267
    {'ambient': '1440.3398', 'aut_centralizer_order': 2304, 'aut_label': '480.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '2.b1.a1', 'complements': ['3.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1', '240.c1.a1', '240.d1.b1', '240.e1.a1'], 'contains': ['1440.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [838, 2991, 304, 6362, 1366, 5681, 9069, 5002], 'generators': [724], 'label': '1440.3398.480.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.a1.a1', 'normal_contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1'], 'normal_contains': ['1440.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '480.a1.a1', 'projective_image': '1440.3398', 'quotient_action_image': '2.1', 'quotient_action_kernel': '240.51', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '480.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382268
    {'ambient': '1440.3398', 'aut_centralizer_order': 2304, 'aut_label': '480.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '2.b1.b1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.b1', '160.a1.a1', '240.a1.b1', '240.c1.b1', '240.d1.a1', '240.e1.b1'], 'contains': ['1440.a1.a1'], 'core': '480.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [838, 2991, 1263, 5795, 1366, 5681, 8838, 5296], 'generators': [960], 'label': '1440.3398.480.a1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.a1.b1', 'normal_contained_in': ['96.a1.b1', '160.a1.a1', '240.a1.b1'], 'normal_contains': ['1440.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '480.a1.b1', 'projective_image': '1440.3398', 'quotient_action_image': '2.1', 'quotient_action_kernel': '240.51', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '480.a1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382269
    {'ambient': '1440.3398', 'aut_centralizer_order': 2304, 'aut_label': '480.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4608, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.b1.a1', '160.a1.a1', '240.b1.a1', '240.f1.a1', '240.f1.a2'], 'contains': ['1440.a1.a1'], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2908, -1, 601, -1, 1778, -1, 8699, -1], 'generators': [244], 'label': '1440.3398.480.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '480.b1.a1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382270
    {'ambient': '1440.3398', 'aut_centralizer_order': 9216, 'aut_label': '720.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 9216, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['144.a1.a1', '240.a1.a1', '240.a1.b1', '240.b1.a1', '360.a1.a1', '360.b1.a1', '360.b1.b1', '360.c1.a1', '360.d1.a1', '360.e1.a1', '360.e1.b1'], 'contains': ['1440.a1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3024, 4040, 3096, 4439, 3023, 6496, 7096, 4429], 'generators': [720], 'label': '1440.3398.720.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '720.a1.a1', 'normal_contained_in': ['144.a1.a1', '240.a1.b1', '240.a1.a1', '360.a1.a1'], 'normal_contains': ['1440.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '720.a1.a1', 'projective_image': '720.651', 'quotient_action_image': '1.1', 'quotient_action_kernel': '720.651', 'quotient_action_kernel_order': 720, 'quotient_fusion': None, 'short_label': '720.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382271
    {'ambient': '1440.3398', 'aut_centralizer_order': 384, 'aut_label': '720.b1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '1.1', 'aut_weyl_index': 9216, 'centralizer': '12.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.b1.a1', '240.c1.a1', '240.d1.a1', '360.b1.a1'], 'contains': ['1440.a1.a1'], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [663, -1, 1871, -1, 1105, -1, 9287, -1], 'generators': [306], 'label': '1440.3398.720.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '720.b1.a1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382272
    {'ambient': '1440.3398', 'aut_centralizer_order': 384, 'aut_label': '720.b1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '1.1', 'aut_weyl_index': 9216, 'centralizer': '12.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.b1.b1', '240.c1.b1', '240.d1.b1', '360.b1.b1'], 'contains': ['1440.a1.a1'], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [663, -1, 1076, -1, 1105, -1, 8483, -1], 'generators': [1], 'label': '1440.3398.720.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.b1', 'old_label': '720.b1.b1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382273
    {'ambient': '1440.3398', 'aut_centralizer_order': 512, 'aut_label': '720.c1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '1.1', 'aut_weyl_index': 9216, 'centralizer': '18.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.c1.a1', '240.e1.a1', '240.e1.b1', '240.f1.a1', '240.f1.a2', '360.c1.a1'], 'contains': ['1440.a1.a1'], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [1534, -1, 852, -1, 1669, -1, 8772, -1], 'generators': [363], 'label': '1440.3398.720.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.d1.a1', 'old_label': '720.c1.a1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382274
    {'ambient': '1440.3398', 'aut_centralizer_order': 12, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2154', 'aut_weyl_index': 72, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.f1.a1', '12.k1.a1', '18.b1.a1', '30.c1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7026, -1, 6265, -1, 6611, -1, 3592, -1], 'generators': [6, 720, 724, 288, 180, 360], 'label': '1440.3398.6.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382275
    {'ambient': '1440.3398', 'aut_centralizer_order': None, 'aut_label': '1440.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['288.a1.a1', '480.a1.a1', '480.a1.b1', '480.b1.a1', '720.a1.a1', '720.b1.a1', '720.b1.b1', '720.c1.a1'], 'contains': [], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1360, 3500, 1051, 5656, 1615, 6093, 8805, 4870], 'generators': [], 'label': '1440.3398.1440.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1440.a1.a1', 'normal_contained_in': ['288.a1.a1', '480.a1.b1', '480.a1.a1', '720.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1440.a1.a1', 'projective_image': '1440.3398', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1440.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75382276
    {'ambient': '1440.3398', 'aut_centralizer_order': 12, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2154', 'aut_weyl_index': 72, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '3.a1.b1'], 'contains': ['12.c1.b1', '12.f1.b1', '12.k1.b1', '18.b1.b1', '30.c1.b1'], 'core': '12.c1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7026, -1, 7892, -1, 6611, -1, 2339, -1], 'generators': [1, 720, 960, 288, 180, 360], 'label': '1440.3398.6.c1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '6.c1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382277
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.b1'], 'contains': ['12.a1.a1', '12.g1.a1', '12.h1.a1', '12.i1.b1', '12.k1.b1', '18.a1.a1', '30.d1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4444, -1, 6033, -1, 4299, -1, 5225, -1], 'generators': [541, 960, 1080, 288, 306, 720], 'label': '1440.3398.6.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '6.d1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382278
    {'ambient': '1440.3398', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '144.a1.a1', 'complements': ['720.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.b1', '4.b1.a1', '4.c1.a1', '4.f1.b1', '4.g1.b1', '6.b1.b1', '6.d1.b1', '10.a1.b1'], 'core': '2.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4983, 6056, 4432, 4963, 4299, 5985, 4545, 6721], 'generators': [1, 724, 1080, 288, 6, 960, 720], 'label': '1440.3398.2.a1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.b1', '4.b1.a1', '4.c1.a1', '10.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.b1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.b1', 'subgroup_fusion': None, 'weyl_group': '144.145'}
  • id: 75382279
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '3.a1.a1'], 'contains': ['12.a1.b1', '12.g1.b1', '12.h1.b1', '12.i1.a1', '12.k1.a1', '18.a1.b1', '30.d1.b1'], 'core': '12.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4444, -1, 4157, -1, 4299, -1, 4720, -1], 'generators': [1, 724, 1080, 288, 6, 720], 'label': '1440.3398.6.d1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382280
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.a1.b1', '12.f1.a1', '12.l1.a1', '18.c1.a1', '30.e1.a1'], 'core': '12.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6339, -1, 7303, -1, 5842, -1, 3937, -1], 'generators': [1, 724, 288, 1080, 306, 720], 'label': '1440.3398.6.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382281
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.b1'], 'contains': ['12.a1.a1', '12.f1.b1', '12.l1.b1', '18.c1.a1', '30.e1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6339, -1, 7522, -1, 5842, -1, 2530, -1], 'generators': [1, 960, 288, 1080, 306, 720], 'label': '1440.3398.6.e1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '6.e1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382282
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '192.1511', 'aut_weyl_index': 48, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.i1.a1', '12.l1.a1', '18.d1.a1', '30.f1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7937, -1, 8715, -1, 7748, -1, 1537, -1], 'generators': [723, 724, 288, 360, 180, 720], 'label': '1440.3398.6.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.f1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382283
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '192.1511', 'aut_weyl_index': 48, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.b1'], 'contains': ['12.c1.b1', '12.i1.b1', '12.l1.b1', '18.d1.a1', '30.f1.b1'], 'core': '12.c1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7937, -1, 9033, -1, 7748, -1, 831, -1], 'generators': [723, 960, 288, 360, 180, 720], 'label': '1440.3398.6.f1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '6.f1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382284
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '192.1511', 'aut_weyl_index': 48, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['12.j1.a1', '12.m1.a1', '12.n1.a1', '18.d1.a1', '30.g1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8896, -1, 8886, -1, 9415, -1, 436, -1], 'generators': [723, 244, 288, 360, 180, 720], 'label': '1440.3398.6.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '6.g1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382285
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.k1.a1', '12.l1.a1', '18.e1.a1', '30.h1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8384, -1, 6602, -1, 7195, -1, 2997, -1], 'generators': [541, 724, 288, 360, 6, 720], 'label': '1440.3398.6.h1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.h1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.h1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382286
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 24, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.b1'], 'contains': ['12.b1.b1', '12.k1.b1', '12.l1.b1', '18.e1.a1', '30.h1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8384, -1, 8092, -1, 7195, -1, 1700, -1], 'generators': [541, 960, 288, 360, 6, 720], 'label': '1440.3398.6.h1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '6.h1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.h1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382287
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '576.8389', 'aut_weyl_index': 16, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.f1.a1', '4.f1.b1'], 'contains': ['16.a1.a1', '16.c1.a1', '24.d1.a1', '24.d1.b1', '24.e1.a1', '40.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2611, 473, 1243, 9797, 1201, 475, 7970, 9498], 'generators': [363, 288, 724, 720, 960], 'label': '1440.3398.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.a1.a1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 75382288
    {'ambient': '1440.3398', 'aut_centralizer_order': 144, 'aut_label': '8.b1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '64.196', 'aut_weyl_index': 144, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '4.c1.a1', '4.c1.b1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.a1.a1', '24.a1.a1', '24.a1.b1', '24.i1.a1', '40.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5418, 3321, 5399, 4585, 5807, 3986, 4859, 5299], 'generators': [1080, 960, 288, 724, 720], 'label': '1440.3398.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.b1', '4.a1.a1', '4.b1.a1', '4.c1.b1', '4.c1.a1', '4.d1.a1', '4.e1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.b1', '24.a1.a1', '40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '144.145', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382289
    {'ambient': '1440.3398', 'aut_centralizer_order': 6, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076129', 'aut_weyl_index': 12, 'centralizer': '48.a1.a1', 'complements': ['720.b1.b1', '720.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.d1.a1', '6.a1.a1', '6.c1.a1', '10.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6509, 7202, 6421, 2843, 6303, 7441, 3281, 4421], 'generators': [6, 720, 724, 288, 180, 960, 360], 'label': '1440.3398.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.a1', '4.d1.a1', '6.a1.a1', '10.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382290
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '8.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '576.8389', 'aut_weyl_index': 16, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.g1.a1', '4.g1.b1'], 'contains': ['16.a1.a1', '24.f1.a1', '24.f1.b1', '24.j1.a1', '40.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3721, 1711, 3098, 9045, 3240, 1513, 7646, 8797], 'generators': [723, 720, 724, 288, 960], 'label': '1440.3398.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.a1.a1', '40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 75382291
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '24.b1.a1', '24.c1.a1', '40.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1857, -1, 1774, -1, 933, -1, 9048, -1], 'generators': [306, 724, 288, 720, 960], 'label': '1440.3398.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382292
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '4.f1.b1', '4.g1.b1'], 'contains': ['16.a1.a1', '16.b1.b1', '24.b1.b1', '24.c1.b1', '40.d1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1857, -1, 1628, -1, 933, -1, 7806, -1], 'generators': [1, 960, 288, 720, 724], 'label': '1440.3398.8.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '8.d1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382293
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.f1.b1', '4.g1.b1'], 'contains': ['16.a1.a1', '24.g1.a1', '24.h1.b1', '40.e1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2256, -1, 2101, -1, 2164, -1, 7214, -1], 'generators': [6, 288, 720, 724, 960], 'label': '1440.3398.8.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '8.e1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382294
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '24.g1.b1', '24.h1.a1', '40.e1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2256, -1, 3772, -1, 2164, -1, 8601, -1], 'generators': [541, 288, 720, 960, 724], 'label': '1440.3398.8.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.e1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382295
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '256.53144', 'aut_weyl_index': 36, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '3.a1.b1'], 'contains': ['18.a1.a1', '18.a1.b1', '18.b1.a1', '18.b1.b1', '18.c1.a1', '18.d1.a1', '18.e1.a1', '45.a1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7222, -1, 7754, -1, 8513, -1, 2148, -1], 'generators': [1, 720, 180, 288, 6, 360], 'label': '1440.3398.9.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '9.a1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382296
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '576.8553', 'aut_weyl_index': 16, 'centralizer': '144.a1.a1', 'complements': ['144.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.b1.a1', '20.c1.b1', '20.f1.a1', '20.g1.a1', '30.b1.a1', '30.d1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5447, 5818, 4709, 7481, 3776, 4882, 5723, 9098], 'generators': [541, 960, 724, 306, 1080, 720], 'label': '1440.3398.10.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '20.b1.a1', '20.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '144.145'}
  • id: 75382297
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '576.8553', 'aut_weyl_index': 16, 'centralizer': '144.a1.a1', 'complements': ['144.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '5.a1.a1'], 'contains': ['20.a1.b1', '20.b1.a1', '20.c1.a1', '20.f1.b1', '20.g1.b1', '30.b1.b1', '30.d1.b1'], 'core': '10.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5447, 5818, 4531, 5744, 3776, 4882, 4401, 8040], 'generators': [1, 960, 724, 6, 1080, 720], 'label': '1440.3398.10.a1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.b1', 'normal_contained_in': ['2.a1.b1', '5.a1.a1'], 'normal_contains': ['20.a1.b1', '20.b1.a1', '20.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.b1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1.b1', 'subgroup_fusion': None, 'weyl_group': '144.145'}
  • id: 75382298
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 48, 'centralizer': '48.a1.a1', 'complements': ['144.b1.b1', '144.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.c1.a1', '20.d1.a1', '30.a1.a1', '30.c1.a1'], 'core': '10.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7824, 6802, 6468, 3773, 5590, 7762, 2832, 5083], 'generators': [6, 960, 720, 180, 724, 360], 'label': '1440.3398.10.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.a1', 'normal_contained_in': ['2.b1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '20.c1.a1', '20.d1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382299
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 48, 'centralizer': '48.a1.b1', 'complements': ['144.b1.a1', '144.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '5.a1.a1'], 'contains': ['20.a1.b1', '20.c1.b1', '20.d1.a1', '30.a1.b1', '30.c1.b1'], 'core': '10.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7824, 6802, 6935, 4727, 5590, 7762, 3163, 2342], 'generators': [1, 724, 720, 180, 960, 360], 'label': '1440.3398.10.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.b1', 'normal_contained_in': ['2.b1.b1', '5.a1.a1'], 'normal_contains': ['20.a1.b1', '20.c1.b1', '20.d1.a1', '30.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.b1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382300
    {'ambient': '1440.3398', 'aut_centralizer_order': 6, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076129', 'aut_weyl_index': 12, 'centralizer': '48.a1.b1', 'complements': ['720.b1.a1', '720.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.b1', '4.c1.b1', '4.d1.a1', '6.a1.b1', '6.c1.b1', '10.b1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6509, 7202, 7212, 3800, 6303, 7441, 3458, 2673], 'generators': [1, 720, 960, 288, 180, 724, 360], 'label': '1440.3398.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.b1', '4.c1.b1', '4.d1.a1', '6.a1.b1', '10.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382301
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '10.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1152.97975', 'aut_weyl_index': 8, 'centralizer': '144.a1.a1', 'complements': ['144.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.a1.b1', '20.e1.a1', '30.e1.a1', '30.e1.b1'], 'core': '10.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6504, 4295, 8179, 6220, 5374, 4225, 3423, 7595], 'generators': [1, 960, 724, 306, 1080, 720], 'label': '1440.3398.10.c1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.c1.a1', 'normal_contained_in': ['2.c1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.b1', '20.a1.a1', '20.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.c1.a1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.c1.a1', 'subgroup_fusion': None, 'weyl_group': '144.145'}
  • id: 75382302
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '10.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '576.8666', 'aut_weyl_index': 16, 'centralizer': '36.a1.a1', 'complements': ['144.b1.a1', '144.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '5.a1.a1'], 'contains': ['20.b1.a1', '20.d1.a1', '20.e1.a1', '30.f1.a1', '30.f1.b1', '30.g1.a1'], 'core': '10.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9066, 3111, 9477, 8197, 7995, 1551, 1055, 8569], 'generators': [723, 960, 724, 180, 360, 720], 'label': '1440.3398.10.d1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.d1.a1', 'normal_contained_in': ['2.d1.a1', '5.a1.a1'], 'normal_contains': ['20.b1.a1', '20.d1.a1', '20.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.d1.a1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.d1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 75382303
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '10.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1152.97975', 'aut_weyl_index': 8, 'centralizer': '144.a1.a1', 'complements': ['144.b1.a1', '144.b1.b1', '144.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '5.a1.a1'], 'contains': ['20.c1.a1', '20.c1.b1', '20.e1.a1', '30.h1.a1', '30.h1.b1'], 'core': '10.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9318, 5051, 6651, 6771, 6302, 3464, 2681, 6387], 'generators': [541, 960, 724, 6, 360, 720], 'label': '1440.3398.10.e1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.e1.a1', 'normal_contained_in': ['2.e1.a1', '5.a1.a1'], 'normal_contains': ['20.c1.b1', '20.c1.a1', '20.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.e1.a1', 'projective_image': '720.651', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.e1.a1', 'subgroup_fusion': None, 'weyl_group': '144.145'}
  • id: 75382304
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '192.1103', 'aut_weyl_index': 48, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.d1.a1', '6.e1.b1'], 'contains': ['24.a1.b1', '24.c1.a1', '36.d1.a1', '60.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4396, 8104, 7252, 1712, 4064, 8474, 5314, 4083], 'generators': [306, 288, 720, 1080, 960], 'label': '1440.3398.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.b1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382305
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '192.1103', 'aut_weyl_index': 48, 'centralizer': '48.a1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '6.a1.b1', '6.d1.b1', '6.e1.a1'], 'contains': ['24.a1.a1', '24.c1.b1', '36.d1.b1', '60.a1.b1'], 'core': '12.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4396, 8104, 4815, 2508, 4064, 8474, 4410, 1574], 'generators': [1, 288, 720, 1080, 724], 'label': '1440.3398.12.a1.b1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1.b1', 'normal_contained_in': ['4.a1.b1', '6.a1.b1'], 'normal_contains': ['24.a1.a1', '60.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382306
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '192.1103', 'aut_weyl_index': 48, 'centralizer': '48.a1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '6.a1.b1', '6.b1.a1', '6.h1.a1'], 'contains': ['24.a1.a1', '24.h1.a1', '36.f1.b1', '60.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5916, 9527, 5568, 3458, 5558, 7571, 6178, 964], 'generators': [541, 288, 720, 1080, 724], 'label': '1440.3398.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.c1.b1', '6.a1.b1'], 'normal_contains': ['24.a1.a1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382307
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '192.1103', 'aut_weyl_index': 48, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1', '6.b1.b1', '6.h1.b1'], 'contains': ['24.a1.b1', '24.h1.b1', '36.f1.a1', '60.b1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5916, 9527, 7103, 676, 5558, 7571, 3306, 2540], 'generators': [6, 288, 720, 1080, 960], 'label': '1440.3398.12.b1.b1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1.b1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.b1', '60.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382308
    {'ambient': '1440.3398', 'aut_centralizer_order': 144, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 288, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.a1.b1', '6.c1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '36.a1.a1', '60.c1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7610, 8813, 8170, 1196, 7917, 9680, 1561, 145], 'generators': [180, 288, 360, 724, 720], 'label': '1440.3398.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.d1.a1', '6.a1.b1'], 'normal_contains': ['24.a1.a1', '36.a1.a1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '144.145', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382309
    {'ambient': '1440.3398', 'aut_centralizer_order': 144, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 288, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.a1.a1', '6.c1.b1', '6.f1.b1'], 'contains': ['24.a1.b1', '36.a1.a1', '60.c1.b1'], 'core': '12.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7610, 8813, 8654, 156, 7917, 9680, 831, 2055], 'generators': [180, 288, 360, 960, 720], 'label': '1440.3398.12.c1.b1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1.b1', 'normal_contained_in': ['4.d1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.b1', '36.a1.a1', '60.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.b1', 'projective_image': '144.145', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.c1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382310
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '24.d1.a1', '24.h1.a1', '36.b1.a1', '60.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2086, -1, 2193, -1, 1892, -1, 9200, -1], 'generators': [181, 288, 720, 306, 724], 'label': '1440.3398.12.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.d1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382311
    {'ambient': '1440.3398', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '144.a1.a1', 'complements': ['720.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.a1.b1', '4.e1.a1', '6.e1.a1', '6.e1.b1', '10.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6211, 3516, 7388, 5735, 5738, 3936, 3834, 6001], 'generators': [1, 724, 288, 1080, 306, 960, 720], 'label': '1440.3398.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.b1', '4.a1.a1', '4.e1.a1', '10.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '144.145'}
  • id: 75382312
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '6.b1.b1'], 'contains': ['24.b1.b1', '24.d1.b1', '24.h1.b1', '36.b1.b1', '60.d1.b1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2086, -1, 2592, -1, 1892, -1, 6745, -1], 'generators': [1081, 288, 720, 6, 960], 'label': '1440.3398.12.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '12.d1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382313
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '72.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '24.f1.a1', '24.h1.a1', '36.c1.a1', '60.e1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3372, -1, 3446, -1, 2952, -1, 8885, -1], 'generators': [541, 288, 720, 306, 724], 'label': '1440.3398.12.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.e1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382314
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '72.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '6.b1.b1'], 'contains': ['24.b1.b1', '24.f1.b1', '24.h1.b1', '36.c1.b1', '60.e1.b1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3372, -1, 3237, -1, 2952, -1, 6580, -1], 'generators': [1, 288, 720, 6, 960], 'label': '1440.3398.12.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '12.e1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382315
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 144, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.b1.a1', '6.c1.a1', '6.e1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '36.d1.a1', '60.f1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4822, -1, 4997, -1, 4312, -1, 6331, -1], 'generators': [306, 724, 288, 1080, 720], 'label': '1440.3398.12.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382316
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 144, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '6.b1.b1', '6.c1.b1', '6.e1.b1'], 'contains': ['24.a1.b1', '24.b1.b1', '36.d1.b1', '60.f1.b1'], 'core': '24.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4822, -1, 6953, -1, 4312, -1, 3698, -1], 'generators': [1, 960, 288, 1080, 720], 'label': '1440.3398.12.f1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '12.f1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382317
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.d1.a1'], 'contains': ['24.c1.a1', '24.d1.b1', '24.g1.b1', '36.b1.a1', '60.g1.a1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1659, -1, 3607, -1, 1642, -1, 8284, -1], 'generators': [181, 288, 720, 306, 960], 'label': '1440.3398.12.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.g1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382318
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '6.d1.b1'], 'contains': ['24.c1.b1', '24.d1.a1', '24.g1.a1', '36.b1.b1', '60.g1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1659, -1, 1348, -1, 1642, -1, 7483, -1], 'generators': [1081, 288, 720, 6, 724], 'label': '1440.3398.12.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '12.g1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75382319
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '72.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.d1.a1'], 'contains': ['24.c1.a1', '24.f1.b1', '24.g1.b1', '36.c1.a1', '60.h1.a1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3099, -1, 4420, -1, 2683, -1, 8134, -1], 'generators': [541, 288, 720, 306, 960], 'label': '1440.3398.12.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.h1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382320
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '72.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '6.d1.b1'], 'contains': ['24.c1.b1', '24.f1.a1', '24.g1.a1', '36.c1.b1', '60.h1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3099, -1, 2410, -1, 2683, -1, 7050, -1], 'generators': [1, 288, 720, 6, 724], 'label': '1440.3398.12.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '12.h1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382321
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.b1.a1', '6.d1.b1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.d1.a1', '24.f1.a1', '36.e1.a1', '60.i1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4145, -1, 3965, -1, 4557, -1, 5873, -1], 'generators': [723, 288, 720, 1080, 724], 'label': '1440.3398.12.i1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.i1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382322
    {'ambient': '1440.3398', 'aut_centralizer_order': 4, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '36.a1.a1', 'complements': ['720.b1.a1', '720.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.d1.a1', '4.e1.a1', '6.f1.a1', '6.f1.b1', '6.g1.a1', '10.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8088, 2337, 8786, 8450, 7748, 1470, 1300, 8190], 'generators': [723, 724, 288, 360, 180, 960, 720], 'label': '1440.3398.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.d1.a1', '4.e1.a1', '10.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 75382323
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.b1.b1', '6.d1.a1', '6.f1.b1'], 'contains': ['24.a1.b1', '24.d1.b1', '24.f1.b1', '36.e1.a1', '60.i1.b1'], 'core': '24.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4145, -1, 5717, -1, 4557, -1, 4709, -1], 'generators': [723, 288, 720, 1080, 960], 'label': '1440.3398.12.i1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '12.i1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382324
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.g1.a1'], 'contains': ['24.e1.a1', '24.i1.a1', '24.j1.a1', '36.e1.a1', '60.j1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7004, -1, 4566, -1, 6305, -1, 4560, -1], 'generators': [723, 288, 720, 1080, 244], 'label': '1440.3398.12.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '12.j1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382325
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 144, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.c1.a1', '6.d1.b1', '6.h1.a1'], 'contains': ['24.a1.a1', '24.g1.a1', '36.f1.a1', '60.k1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6170, -1, 5179, -1, 5307, -1, 4004, -1], 'generators': [6, 724, 288, 1080, 720], 'label': '1440.3398.12.k1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.k1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382326
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 144, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '6.c1.b1', '6.d1.a1', '6.h1.b1'], 'contains': ['24.a1.b1', '24.g1.b1', '36.f1.b1', '60.k1.b1'], 'core': '24.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6170, -1, 7469, -1, 5307, -1, 5163, -1], 'generators': [541, 960, 288, 1080, 720], 'label': '1440.3398.12.k1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '12.k1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 75382327
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.e1.a1', '6.f1.a1', '6.h1.a1'], 'contains': ['24.a1.a1', '36.g1.a1', '60.l1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8522, -1, 8841, -1, 7343, -1, 1331, -1], 'generators': [303, 360, 720, 288, 724], 'label': '1440.3398.12.l1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.l1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382328
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.e1.b1', '6.f1.b1', '6.h1.b1'], 'contains': ['24.a1.b1', '36.g1.a1', '60.l1.b1'], 'core': '24.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8522, -1, 9312, -1, 7343, -1, 710, -1], 'generators': [303, 360, 720, 288, 960], 'label': '1440.3398.12.l1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '12.l1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382329
    {'ambient': '1440.3398', 'aut_centralizer_order': 144, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 288, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.g1.a1'], 'contains': ['24.i1.a1', '36.a1.a1', '60.m1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9109, -1, 8326, -1, 9940, -1, 314, -1], 'generators': [180, 288, 360, 244, 720], 'label': '1440.3398.12.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '12.m1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382330
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.206', 'aut_weyl_index': 96, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.g1.a1'], 'contains': ['24.i1.a1', '36.g1.a1', '60.n1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9811, -1, 9129, -1, 9291, -1, 193, -1], 'generators': [303, 360, 720, 288, 244], 'label': '1440.3398.12.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '12.n1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75382331
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 48, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.a1.a1'], 'contains': ['30.a1.b1', '30.b1.a1', '30.c1.a1', '30.d1.b1', '30.e1.a1', '30.f1.a1', '30.h1.a1', '45.a1.a1'], 'core': '30.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7981, -1, 6726, -1, 6074, -1, 3304, -1], 'generators': [1, 724, 720, 6, 180, 360], 'label': '1440.3398.15.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '15.a1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382332
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 48, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.b1', '5.a1.a1'], 'contains': ['30.a1.a1', '30.b1.b1', '30.c1.b1', '30.d1.a1', '30.e1.b1', '30.f1.b1', '30.h1.b1', '45.a1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7981, -1, 9664, -1, 6074, -1, 1854, -1], 'generators': [1, 960, 720, 6, 180, 360], 'label': '1440.3398.15.a1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '15.a1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382333
    {'ambient': '1440.3398', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '144.a1.a1', 'complements': ['720.b1.a1', '720.b1.b1', '720.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.c1.b1', '4.e1.a1', '6.h1.a1', '6.h1.b1', '10.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8909, 4678, 6615, 6582, 6952, 2768, 2916, 5211], 'generators': [541, 724, 288, 360, 6, 960, 720], 'label': '1440.3398.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.b1', '4.c1.a1', '4.e1.a1', '10.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '144.145', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '144.145'}
  • id: 75382334
    {'ambient': '1440.3398', 'aut_centralizer_order': 288, 'aut_label': '16.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '32.25', 'aut_weyl_index': 288, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1', '8.d1.b1', '8.e1.a1', '8.e1.b1'], 'contains': ['32.a1.a1', '48.a1.a1', '48.a1.b1', '48.b1.a1', '80.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2662, 2219, 1771, 9049, 1547, 3382, 7798, 6203], 'generators': [720, 960, 288, 724], 'label': '1440.3398.16.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['32.a1.a1', '48.a1.b1', '48.a1.a1', '80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '144.145', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382335
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1'], 'contains': ['32.a1.a1', '48.c1.a1', '48.d1.a1', '80.b1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [307, -1, 664, -1, 109, -1, 9934, -1], 'generators': [306, 288, 960, 724], 'label': '1440.3398.16.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1.a1', 'old_label': '16.b1.a1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382336
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48.35', 'aut_weyl_index': 192, 'centralizer': '48.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1'], 'contains': ['32.a1.a1', '48.c1.b1', '48.d1.b1', '80.b1.b1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [307, -1, 219, -1, 109, -1, 9632, -1], 'generators': [1, 288, 724, 960], 'label': '1440.3398.16.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1.b1', 'old_label': '16.b1.b1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75382337
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '288.877', 'aut_weyl_index': 32, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.a1.a1', '48.e1.a1', '48.e1.b1', '48.f1.a1', '48.f1.a2', '80.c1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [772, -1, 390, -1, 356, -1, 9783, -1], 'generators': [363, 724, 960, 288], 'label': '1440.3398.16.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '16.c1.a1', 'projective_image': '288.457', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
  • id: 75382338
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '64.196', 'aut_weyl_index': 144, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '6.d1.a1', '9.a1.a1'], 'contains': ['36.b1.a1', '36.c1.a1', '36.d1.a1', '36.e1.a1', '36.f1.b1', '90.a1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4657, -1, 5826, -1, 6056, -1, 6025, -1], 'generators': [541, 1080, 288, 306, 720], 'label': '1440.3398.18.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382339
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '64.196', 'aut_weyl_index': 144, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '6.d1.b1', '9.a1.a1'], 'contains': ['36.b1.b1', '36.c1.b1', '36.d1.b1', '36.e1.a1', '36.f1.a1', '90.a1.b1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4657, -1, 5607, -1, 6056, -1, 3546, -1], 'generators': [1, 1080, 288, 6, 720], 'label': '1440.3398.18.a1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.a1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382340
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 144, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '6.c1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.d1.a1', '36.f1.a1', '90.b1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7084, -1, 8070, -1, 8750, -1, 2317, -1], 'generators': [6, 288, 360, 180, 720], 'label': '1440.3398.18.b1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '18.b1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382341
    {'ambient': '1440.3398', 'aut_centralizer_order': 24, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 144, 'centralizer': '24.f1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.b1', '6.c1.b1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.d1.b1', '36.f1.b1', '90.b1.b1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7084, -1, 7871, -1, 8750, -1, 2520, -1], 'generators': [1, 288, 360, 180, 720], 'label': '1440.3398.18.b1.b1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.b1', 'old_label': '18.b1.b1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382342
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '18.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '128.1676', 'aut_weyl_index': 72, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '6.e1.b1', '9.a1.a1'], 'contains': ['36.d1.a1', '36.d1.b1', '36.g1.a1', '90.c1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6692, -1, 7709, -1, 8339, -1, 2685, -1], 'generators': [1, 288, 1080, 306, 720], 'label': '1440.3398.18.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.c1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382343
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '32.45', 'aut_weyl_index': 288, 'centralizer': '18.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '6.f1.b1', '6.g1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.e1.a1', '36.g1.a1', '90.d1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8368, -1, 8871, -1, 9541, -1, 558, -1], 'generators': [723, 288, 360, 180, 720], 'label': '1440.3398.18.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.d1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75382344
    {'ambient': '1440.3398', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '768.1076129', 'aut_weyl_index': 12, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.b1', '6.b1.a1', '6.c1.a1', '6.d1.b1', '6.e1.a1', '6.f1.a1', '6.h1.a1', '9.a1.a1', '15.a1.a1'], 'core': '6.a1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7026, -1, 6721, -1, 6611, -1, 3646, -1], 'generators': [1, 720, 180, 288, 6, 724, 360], 'label': '1440.3398.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382345
    {'ambient': '1440.3398', 'aut_centralizer_order': 8, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '128.1676', 'aut_weyl_index': 72, 'centralizer': '72.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1.a1', '6.h1.b1', '9.a1.a1'], 'contains': ['36.f1.a1', '36.f1.b1', '36.g1.a1', '90.e1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8676, -1, 8278, -1, 9041, -1, 1766, -1], 'generators': [541, 288, 360, 6, 720], 'label': '1440.3398.18.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.e1.a1', 'projective_image': '144.145', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 75382346
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '20.a1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1', '10.b1.a1', '10.c1.a1'], 'contains': ['40.b1.a1', '40.d1.a1', '60.a1.a1', '60.f1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6035, 5576, 5629, 6153, 3506, 5784, 5723, 7122], 'generators': [306, 960, 1080, 724, 720], 'label': '1440.3398.20.a1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1', '10.b1.a1', '10.c1.a1'], 'normal_contains': ['40.b1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382347
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '20.a1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '48.a1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '10.a1.b1', '10.b1.b1', '10.c1.a1'], 'contains': ['40.b1.a1', '40.d1.b1', '60.a1.b1', '60.f1.b1'], 'core': '20.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6035, 5576, 5105, 5357, 3506, 5784, 4155, 5902], 'generators': [1, 724, 1080, 960, 720], 'label': '1440.3398.20.a1.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.a1.b1', 'normal_contained_in': ['4.a1.b1', '10.a1.b1', '10.b1.b1', '10.c1.a1'], 'normal_contains': ['40.b1.a1', '60.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382348
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '20.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '288.1031', 'aut_weyl_index': 32, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.a1.a1', '10.a1.b1', '10.d1.a1'], 'contains': ['40.a1.a1', '40.b1.a1', '40.c1.a1', '60.i1.a1', '60.i1.b1', '60.j1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5783, 1830, 4271, 8040, 4805, 2475, 5011, 8147], 'generators': [723, 960, 1080, 720, 724], 'label': '1440.3398.20.b1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.b1.a1', '10.a1.b1', '10.a1.a1', '10.d1.a1'], 'normal_contains': ['40.a1.a1', '40.b1.a1', '40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 75382349
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '20.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '10.a1.b1', '10.b1.a1', '10.e1.a1'], 'contains': ['40.b1.a1', '40.e1.a1', '60.b1.b1', '60.k1.a1'], 'core': '20.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6405, 6472, 6155, 4703, 5057, 4882, 3851, 6512], 'generators': [6, 960, 1080, 724, 720], 'label': '1440.3398.20.c1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.c1.a1', 'normal_contained_in': ['4.c1.a1', '10.a1.b1', '10.b1.a1', '10.e1.a1'], 'normal_contains': ['40.b1.a1', '60.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '20.c1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382350
    {'ambient': '1440.3398', 'aut_centralizer_order': 48, 'aut_label': '20.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '96.209', 'aut_weyl_index': 96, 'centralizer': '48.a1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '10.a1.a1', '10.b1.b1', '10.e1.a1'], 'contains': ['40.b1.a1', '40.e1.b1', '60.b1.a1', '60.k1.b1'], 'core': '20.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6405, 6472, 6339, 6807, 5057, 4882, 5570, 4693], 'generators': [541, 724, 1080, 960, 720], 'label': '1440.3398.20.c1.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.c1.b1', 'normal_contained_in': ['4.c1.b1', '10.a1.a1', '10.b1.b1', '10.e1.a1'], 'normal_contains': ['40.b1.a1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.c1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 75382351
    {'ambient': '1440.3398', 'aut_centralizer_order': 288, 'aut_label': '20.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 288, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '10.b1.a1', '10.b1.b1', '10.d1.a1'], 'contains': ['40.b1.a1', '60.c1.a1', '60.c1.b1', '60.m1.a1'], 'core': '20.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8244, 4689, 8063, 3603, 8113, 6675, 1055, 3147], 'generators': [180, 720, 724, 960, 360], 'label': '1440.3398.20.d1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.d1.a1', 'normal_contained_in': ['4.d1.a1', '10.b1.b1', '10.b1.a1', '10.d1.a1'], 'normal_contains': ['40.b1.a1', '60.c1.b1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.d1.a1', 'projective_image': '720.651', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75382352
    {'ambient': '1440.3398', 'aut_centralizer_order': 32, 'aut_label': '20.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '288.1031', 'aut_weyl_index': 32, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '10.c1.a1', '10.d1.a1', '10.e1.a1'], 'contains': ['40.b1.a1', '60.l1.a1', '60.l1.b1', '60.n1.a1'], 'core': '20.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9820, 3732, 9417, 7489, 7555, 3236, 928, 7632], 'generators': [303, 960, 360, 720, 724], 'label': '1440.3398.20.e1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.e1.a1', 'normal_contained_in': ['4.e1.a1', '10.c1.a1', '10.d1.a1', '10.e1.a1'], 'normal_contains': ['40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.e1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 75382353
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '144.192', 'aut_weyl_index': 64, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '40.d1.a1', '40.e1.b1', '60.d1.a1', '60.g1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2740, -1, 2246, -1, 1432, -1, 8743, -1], 'generators': [181, 960, 306, 720, 724], 'label': '1440.3398.20.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '20.f1.a1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1.a1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 75382354
    {'ambient': '1440.3398', 'aut_centralizer_order': 16, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '144.192', 'aut_weyl_index': 64, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '10.a1.b1'], 'contains': ['40.a1.a1', '40.d1.b1', '40.e1.a1', '60.d1.b1', '60.g1.b1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2740, -1, 1657, -1, 1432, -1, 7355, -1], 'generators': [1081, 960, 6, 720, 724], 'label': '1440.3398.20.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '20.f1.b1', 'projective_image': '720.651', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1.b1', 'subgroup_fusion': None, 'weyl_group': '72.46'}