Abstract group data - 1440.2870

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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': '48.44', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 60, 'aut_gen_orders': [12, 2, 2, 2, 4, 10, 4, 12, 2], 'aut_gens': [[1, 4, 24], [241, 1342, 458], [961, 966, 698], [483, 934, 696], [1, 4, 744], [3, 1390, 696], [1, 454, 264], [963, 620, 408], [963, 390, 170], [3, 742, 986]], 'aut_group': None, 'aut_hash': 2878935608206837536, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 30720, 'aut_permdeg': 54, 'aut_perms': [167221522002428278443180199413975531642656698900554560475669398386191503, 163422893127869273113995084133470418325769365197647435526845360531305039, 64382319462012747729809113099923906510614651938767551383388321509372903, 2304306796460859083509736435797845960192534599386901077151720882353920, 188583533730388407379619285953940911736568521853271934146576757757392063, 36663199600664230869419565931611753462922763589495376443468954919870905, 142048477191795379694418078544836935886042112680668882864394487843070050, 2454829184624722864931765652742073935854606119024355474713750626296970, 64286240124772045226716505207190296253598846866795067317321886940253352], 'aut_phi_ratio': 80.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 30, 4, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 2, 2, 1], [4, 3, 4, 1], [4, 6, 2, 1], [4, 10, 4, 1], [5, 2, 2, 1], [6, 1, 2, 3], [6, 2, 1, 3], [6, 2, 2, 3], [6, 30, 8, 1], [10, 2, 2, 3], [12, 2, 4, 1], [12, 3, 8, 1], [12, 4, 2, 1], [12, 4, 4, 1], [12, 6, 4, 1], [12, 10, 8, 1], [12, 20, 4, 1], [12, 20, 8, 1], [15, 2, 4, 1], [15, 4, 2, 1], [15, 4, 4, 1], [20, 2, 8, 1], [20, 6, 8, 2], [30, 2, 4, 3], [30, 4, 2, 3], [30, 4, 4, 3], [60, 2, 16, 1], [60, 4, 8, 1], [60, 4, 16, 1], [60, 6, 16, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_{15}:(C_2^4\\times C_4\\times C_2^2\\wr C_2)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '128.2328', 'autcent_hash': 2328, 'autcent_nilpotent': True, 'autcent_order': 128, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^7', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 60, 'autcentquo_group': '240.195', 'autcentquo_hash': 195, 'autcentquo_nilpotent': False, 'autcentquo_order': 240, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_6\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 30, 4], [3, 1, 2], [3, 2, 3], [4, 2, 2], [4, 3, 4], [4, 6, 2], [4, 10, 4], [5, 2, 2], [6, 1, 6], [6, 2, 9], [6, 30, 8], [10, 2, 6], [12, 2, 4], [12, 3, 8], [12, 4, 6], [12, 6, 4], [12, 10, 8], [12, 20, 12], [15, 2, 4], [15, 4, 6], [20, 2, 8], [20, 6, 16], [30, 2, 12], [30, 4, 18], [60, 2, 16], [60, 4, 24], [60, 6, 32]], 'center_label': '12.5', 'center_order': 12, 'central_product': True, 'central_quotient': '120.42', 'commutator_count': 1, 'commutator_label': '30.4', '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': 2870, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['480.504', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 30, 1, 4], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 2, 1, 2], [4, 3, 2, 2], [4, 6, 2, 1], [4, 10, 2, 2], [5, 2, 2, 1], [6, 1, 2, 3], [6, 2, 1, 3], [6, 2, 2, 3], [6, 30, 2, 4], [10, 2, 2, 3], [12, 2, 2, 2], [12, 3, 4, 2], [12, 4, 1, 2], [12, 4, 2, 2], [12, 6, 4, 1], [12, 10, 4, 2], [12, 20, 2, 2], [12, 20, 4, 2], [15, 2, 4, 1], [15, 4, 2, 1], [15, 4, 4, 1], [20, 2, 4, 2], [20, 6, 4, 2], [20, 6, 8, 1], [30, 2, 4, 3], [30, 4, 2, 3], [30, 4, 4, 3], [60, 2, 8, 2], [60, 4, 4, 2], [60, 4, 8, 2], [60, 6, 8, 2], [60, 6, 16, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 26208, 'exponent': 60, 'exponents_of_order': [5, 2, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '360.151', 'hash': 2870, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [2, 2, 30], 'inner_gens': [[1, 4, 984], [1, 4, 1416], [481, 52, 24]], 'inner_hash': 42, 'inner_nilpotent': False, 'inner_order': 120, 'inner_split': True, 'inner_tex': 'S_3\\times D_{10}', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 48], [2, 132], [4, 54]], 'label': '1440.2870', 'linC_count': 512, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 1948, 'linQ_dim': 12, 'linQ_dim_count': 1732, 'linR_count': 352, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D60:C12', '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': 54, 'number_characteristic_subgroups': 68, 'number_conjugacy_classes': 234, 'number_divisions': 76, 'number_normal_subgroups': 128, 'number_subgroup_autclasses': 228, 'number_subgroup_classes': 402, 'number_subgroups': 2380, 'old_label': None, 'order': 1440, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 123], [3, 8], [4, 68], [5, 4], [6, 264], [10, 12], [12, 400], [15, 32], [20, 112], [30, 96], [60, 320]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 4, 4], 'outer_gen_pows': [0, 0, 0, 0, 0, 0], 'outer_gens': [[3, 6, 24], [721, 4, 24], [723, 22, 24], [723, 364, 744], [1, 6, 312], [723, 366, 746]], 'outer_group': '256.55630', 'outer_hash': 55630, 'outer_nilpotent': True, 'outer_order': 256, 'outer_permdeg': 14, 'outer_perms': [368046, 6266937889, 6266937727, 6227020800, 811566, 19639066014], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4^2:C_2^4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 19, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 18], [4, 19], [8, 17], [16, 11], [32, 3]], 'representations': {'PC': {'code': 373717351502457118487940376680043270780746743480583, 'gens': [1, 3, 5], 'pres': [8, -2, -2, -2, -3, -2, -2, -3, -5, 16, 66, 39364, 14180, 116, 25349, 16725, 141, 59142, 18838, 222, 18455]}, 'GLZN': {'d': 2, 'p': 70, 'gens': [22910514, 343981, 4461463, 3823431, 3773011, 9947029, 5662001, 23667069]}, 'Perm': {'d': 19, 'gens': [6778983923717161, 6778983927340807, 13516122267648017, 93405312000, 7, 13516122267648000, 43545600, 50520]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 12], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{60}:C_{12}', 'transitive_degree': 480, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 118269911
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 2870, 'group_order': 1440, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 118270022
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 2870, 'group_order': 1440, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 2, 'size': 1}
  • id: 118270068
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 2870, 'group_order': 1440, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 722, 'size': 1}
  • id: 118270079
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 2870, 'group_order': 1440, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 720, 'size': 1}
  • id: 118270090
    {'aut_label': '2D', 'centralizer': '30.b1.a1', 'counter': 5, 'group_counter': 2870, 'group_order': 1440, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 12, 'size': 30}
  • id: 118270101
    {'aut_label': '2D', 'centralizer': '30.b1.b1', 'counter': 6, 'group_counter': 2870, 'group_order': 1440, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 36, 'size': 30}
  • id: 118270112
    {'aut_label': '2D', 'centralizer': '30.b1.a1', 'counter': 7, 'group_counter': 2870, 'group_order': 1440, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 14, 'size': 30}
  • id: 118270123
    {'aut_label': '2D', 'centralizer': '30.b1.b1', 'counter': 8, 'group_counter': 2870, 'group_order': 1440, 'label': '2G', 'order': 2, 'powers': [1, 8, 8], 'representative': 38, 'size': 30}
  • id: 118270134
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 2870, 'group_order': 1440, 'label': '3A1', 'order': 3, 'powers': [10, 1, 10], 'representative': 8, 'size': 1}
  • id: 118269912
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 2870, 'group_order': 1440, 'label': '3A-1', 'order': 3, 'powers': [9, 1, 9], 'representative': 16, 'size': 1}
  • id: 118269923
    {'aut_label': '3B', 'centralizer': '2.e1.a1', 'counter': 11, 'group_counter': 2870, 'group_order': 1440, 'label': '3B', 'order': 3, 'powers': [11, 1, 11], 'representative': 960, 'size': 2}
  • id: 118269934
    {'aut_label': '3C1', 'centralizer': '2.e1.a1', 'counter': 12, 'group_counter': 2870, 'group_order': 1440, 'label': '3C1', 'order': 3, 'powers': [13, 1, 13], 'representative': 976, 'size': 2}
  • id: 118269945
    {'aut_label': '3C1', 'centralizer': '2.e1.a1', 'counter': 13, 'group_counter': 2870, 'group_order': 1440, 'label': '3C-1', 'order': 3, 'powers': [12, 1, 12], 'representative': 488, 'size': 2}
  • id: 118269956
    {'aut_label': '4A', 'centralizer': '2.d1.a1', 'counter': 14, 'group_counter': 2870, 'group_order': 1440, 'label': '4A', 'order': 4, 'powers': [4, 14, 14], 'representative': 1080, 'size': 2}
  • id: 118269967
    {'aut_label': '4A', 'centralizer': '2.d1.a1', 'counter': 15, 'group_counter': 2870, 'group_order': 1440, 'label': '4B', 'order': 4, 'powers': [4, 15, 15], 'representative': 1082, 'size': 2}
  • id: 118269978
    {'aut_label': '4C1', 'centralizer': '3.b1.a1', 'counter': 16, 'group_counter': 2870, 'group_order': 1440, 'label': '4C1', 'order': 4, 'powers': [2, 17, 16], 'representative': 3, 'size': 3}
  • id: 118269989
    {'aut_label': '4C1', 'centralizer': '3.b1.a1', 'counter': 17, 'group_counter': 2870, 'group_order': 1440, 'label': '4C-1', 'order': 4, 'powers': [2, 16, 17], 'representative': 1, 'size': 3}
  • id: 118270000
    {'aut_label': '4C1', 'centralizer': '3.b1.a1', 'counter': 18, 'group_counter': 2870, 'group_order': 1440, 'label': '4D1', 'order': 4, 'powers': [2, 19, 18], 'representative': 1203, 'size': 3}
  • id: 118270011
    {'aut_label': '4C1', 'centralizer': '3.b1.a1', 'counter': 19, 'group_counter': 2870, 'group_order': 1440, 'label': '4D-1', 'order': 4, 'powers': [2, 18, 19], 'representative': 1201, 'size': 3}
  • id: 118270023
    {'aut_label': '4E1', 'centralizer': '6.j1.a1', 'counter': 20, 'group_counter': 2870, 'group_order': 1440, 'label': '4E1', 'order': 4, 'powers': [3, 21, 20], 'representative': 1323, 'size': 6}
  • id: 118270034
    {'aut_label': '4E1', 'centralizer': '6.j1.a1', 'counter': 21, 'group_counter': 2870, 'group_order': 1440, 'label': '4E-1', 'order': 4, 'powers': [3, 20, 21], 'representative': 601, 'size': 6}
  • id: 118270045
    {'aut_label': '4F1', 'centralizer': '10.b1.a1', 'counter': 22, 'group_counter': 2870, 'group_order': 1440, 'label': '4F1', 'order': 4, 'powers': [2, 23, 22], 'representative': 15, 'size': 10}
  • id: 118270056
    {'aut_label': '4F1', 'centralizer': '10.b1.a1', 'counter': 23, 'group_counter': 2870, 'group_order': 1440, 'label': '4F-1', 'order': 4, 'powers': [2, 22, 23], 'representative': 13, 'size': 10}
  • id: 118270062
    {'aut_label': '4F1', 'centralizer': '10.b1.b1', 'counter': 24, 'group_counter': 2870, 'group_order': 1440, 'label': '4G1', 'order': 4, 'powers': [2, 25, 24], 'representative': 87, 'size': 10}
  • id: 118270063
    {'aut_label': '4F1', 'centralizer': '10.b1.b1', 'counter': 25, 'group_counter': 2870, 'group_order': 1440, 'label': '4G-1', 'order': 4, 'powers': [2, 24, 25], 'representative': 85, 'size': 10}
  • id: 118270064
    {'aut_label': '5A1', 'centralizer': '2.d1.a1', 'counter': 26, 'group_counter': 2870, 'group_order': 1440, 'label': '5A1', 'order': 5, 'powers': [27, 27, 1], 'representative': 576, 'size': 2}
  • id: 118270065
    {'aut_label': '5A1', 'centralizer': '2.d1.a1', 'counter': 27, 'group_counter': 2870, 'group_order': 1440, 'label': '5A2', 'order': 5, 'powers': [26, 26, 1], 'representative': 1152, 'size': 2}
  • id: 118270066
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 2870, 'group_order': 1440, 'label': '6A1', 'order': 6, 'powers': [10, 2, 29], 'representative': 10, 'size': 1}
  • id: 118270067
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 2870, 'group_order': 1440, 'label': '6A-1', 'order': 6, 'powers': [9, 2, 28], 'representative': 18, 'size': 1}
  • id: 118270069
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 2870, 'group_order': 1440, 'label': '6B1', 'order': 6, 'powers': [10, 4, 31], 'representative': 728, 'size': 1}
  • id: 118270070
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 2870, 'group_order': 1440, 'label': '6B-1', 'order': 6, 'powers': [9, 4, 30], 'representative': 736, 'size': 1}
  • id: 118270071
    {'aut_label': '6C1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 2870, 'group_order': 1440, 'label': '6C1', 'order': 6, 'powers': [10, 3, 33], 'representative': 730, 'size': 1}
  • id: 118270072
    {'aut_label': '6C1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 2870, 'group_order': 1440, 'label': '6C-1', 'order': 6, 'powers': [9, 3, 32], 'representative': 738, 'size': 1}
  • id: 118270073
    {'aut_label': '6D', 'centralizer': '2.e1.a1', 'counter': 34, 'group_counter': 2870, 'group_order': 1440, 'label': '6D', 'order': 6, 'powers': [11, 2, 34], 'representative': 482, 'size': 2}
  • id: 118270074
    {'aut_label': '6E', 'centralizer': '2.e1.a1', 'counter': 35, 'group_counter': 2870, 'group_order': 1440, 'label': '6E', 'order': 6, 'powers': [11, 3, 35], 'representative': 242, 'size': 2}
  • id: 118270075
    {'aut_label': '6F', 'centralizer': '2.e1.a1', 'counter': 36, 'group_counter': 2870, 'group_order': 1440, 'label': '6F', 'order': 6, 'powers': [11, 4, 36], 'representative': 240, 'size': 2}
  • id: 118270076
    {'aut_label': '6G1', 'centralizer': '2.e1.a1', 'counter': 37, 'group_counter': 2870, 'group_order': 1440, 'label': '6G1', 'order': 6, 'powers': [12, 2, 38], 'representative': 490, 'size': 2}
  • id: 118270077
    {'aut_label': '6G1', 'centralizer': '2.e1.a1', 'counter': 38, 'group_counter': 2870, 'group_order': 1440, 'label': '6G-1', 'order': 6, 'powers': [13, 2, 37], 'representative': 978, 'size': 2}
  • id: 118270078
    {'aut_label': '6H1', 'centralizer': '2.e1.a1', 'counter': 39, 'group_counter': 2870, 'group_order': 1440, 'label': '6H1', 'order': 6, 'powers': [13, 3, 40], 'representative': 258, 'size': 2}
  • id: 118270080
    {'aut_label': '6H1', 'centralizer': '2.e1.a1', 'counter': 40, 'group_counter': 2870, 'group_order': 1440, 'label': '6H-1', 'order': 6, 'powers': [12, 3, 39], 'representative': 1210, 'size': 2}
  • id: 118270081
    {'aut_label': '6I1', 'centralizer': '2.e1.a1', 'counter': 41, 'group_counter': 2870, 'group_order': 1440, 'label': '6I1', 'order': 6, 'powers': [12, 4, 42], 'representative': 248, 'size': 2}
  • id: 118270082
    {'aut_label': '6I1', 'centralizer': '2.e1.a1', 'counter': 42, 'group_counter': 2870, 'group_order': 1440, 'label': '6I-1', 'order': 6, 'powers': [13, 4, 41], 'representative': 1216, 'size': 2}
  • id: 118270083
    {'aut_label': '6J1', 'centralizer': '30.b1.a1', 'counter': 43, 'group_counter': 2870, 'group_order': 1440, 'label': '6J1', 'order': 6, 'powers': [9, 5, 44], 'representative': 4, 'size': 30}
  • id: 118270084
    {'aut_label': '6J1', 'centralizer': '30.b1.a1', 'counter': 44, 'group_counter': 2870, 'group_order': 1440, 'label': '6J-1', 'order': 6, 'powers': [10, 5, 43], 'representative': 20, 'size': 30}
  • id: 118270085
    {'aut_label': '6J1', 'centralizer': '30.b1.b1', 'counter': 45, 'group_counter': 2870, 'group_order': 1440, 'label': '6K1', 'order': 6, 'powers': [9, 6, 46], 'representative': 28, 'size': 30}
  • id: 118270086
    {'aut_label': '6J1', 'centralizer': '30.b1.b1', 'counter': 46, 'group_counter': 2870, 'group_order': 1440, 'label': '6K-1', 'order': 6, 'powers': [10, 6, 45], 'representative': 44, 'size': 30}
  • id: 118270087
    {'aut_label': '6J1', 'centralizer': '30.b1.a1', 'counter': 47, 'group_counter': 2870, 'group_order': 1440, 'label': '6L1', 'order': 6, 'powers': [9, 7, 48], 'representative': 6, 'size': 30}
  • id: 118270088
    {'aut_label': '6J1', 'centralizer': '30.b1.a1', 'counter': 48, 'group_counter': 2870, 'group_order': 1440, 'label': '6L-1', 'order': 6, 'powers': [10, 7, 47], 'representative': 22, 'size': 30}
  • id: 118270089
    {'aut_label': '6J1', 'centralizer': '30.b1.b1', 'counter': 49, 'group_counter': 2870, 'group_order': 1440, 'label': '6M1', 'order': 6, 'powers': [9, 8, 50], 'representative': 30, 'size': 30}
  • id: 118270091
    {'aut_label': '6J1', 'centralizer': '30.b1.b1', 'counter': 50, 'group_counter': 2870, 'group_order': 1440, 'label': '6M-1', 'order': 6, 'powers': [10, 8, 49], 'representative': 46, 'size': 30}
  • id: 118270092
    {'aut_label': '10A1', 'centralizer': '2.d1.a1', 'counter': 51, 'group_counter': 2870, 'group_order': 1440, 'label': '10A1', 'order': 10, 'powers': [26, 52, 2], 'representative': 290, 'size': 2}
  • id: 118270093
    {'aut_label': '10A1', 'centralizer': '2.d1.a1', 'counter': 52, 'group_counter': 2870, 'group_order': 1440, 'label': '10A3', 'order': 10, 'powers': [27, 51, 2], 'representative': 866, 'size': 2}
  • id: 118270094
    {'aut_label': '10B1', 'centralizer': '2.d1.a1', 'counter': 53, 'group_counter': 2870, 'group_order': 1440, 'label': '10B1', 'order': 10, 'powers': [27, 54, 3], 'representative': 146, 'size': 2}
  • id: 118270095
    {'aut_label': '10B1', 'centralizer': '2.d1.a1', 'counter': 54, 'group_counter': 2870, 'group_order': 1440, 'label': '10B3', 'order': 10, 'powers': [26, 53, 3], 'representative': 434, 'size': 2}
  • id: 118270096
    {'aut_label': '10C1', 'centralizer': '2.d1.a1', 'counter': 55, 'group_counter': 2870, 'group_order': 1440, 'label': '10C1', 'order': 10, 'powers': [26, 56, 4], 'representative': 432, 'size': 2}
  • id: 118270097
    {'aut_label': '10C1', 'centralizer': '2.d1.a1', 'counter': 56, 'group_counter': 2870, 'group_order': 1440, 'label': '10C3', 'order': 10, 'powers': [27, 55, 4], 'representative': 1296, 'size': 2}
  • id: 118270098
    {'aut_label': '12A1', 'centralizer': '2.d1.a1', 'counter': 57, 'group_counter': 2870, 'group_order': 1440, 'label': '12A1', 'order': 12, 'powers': [30, 14, 58], 'representative': 376, 'size': 2}
  • id: 118270099
    {'aut_label': '12A1', 'centralizer': '2.d1.a1', 'counter': 58, 'group_counter': 2870, 'group_order': 1440, 'label': '12A-1', 'order': 12, 'powers': [31, 14, 57], 'representative': 1088, 'size': 2}
  • id: 118270100
    {'aut_label': '12A1', 'centralizer': '2.d1.a1', 'counter': 59, 'group_counter': 2870, 'group_order': 1440, 'label': '12B1', 'order': 12, 'powers': [30, 15, 60], 'representative': 378, 'size': 2}
  • id: 118270102
    {'aut_label': '12A1', 'centralizer': '2.d1.a1', 'counter': 60, 'group_counter': 2870, 'group_order': 1440, 'label': '12B-1', 'order': 12, 'powers': [31, 15, 59], 'representative': 1090, 'size': 2}
  • id: 118270103
    {'aut_label': '12C1', 'centralizer': '3.b1.a1', 'counter': 61, 'group_counter': 2870, 'group_order': 1440, 'label': '12C1', 'order': 12, 'powers': [28, 16, 63], 'representative': 17, 'size': 3}
  • id: 118270104
    {'aut_label': '12C1', 'centralizer': '3.b1.a1', 'counter': 62, 'group_counter': 2870, 'group_order': 1440, 'label': '12C-1', 'order': 12, 'powers': [29, 17, 64], 'representative': 11, 'size': 3}
  • id: 118270105
    {'aut_label': '12C1', 'centralizer': '3.b1.a1', 'counter': 63, 'group_counter': 2870, 'group_order': 1440, 'label': '12C5', 'order': 12, 'powers': [29, 16, 61], 'representative': 9, 'size': 3}
  • id: 118270106
    {'aut_label': '12C1', 'centralizer': '3.b1.a1', 'counter': 64, 'group_counter': 2870, 'group_order': 1440, 'label': '12C-5', 'order': 12, 'powers': [28, 17, 62], 'representative': 19, 'size': 3}
  • id: 118270107
    {'aut_label': '12C1', 'centralizer': '3.b1.a1', 'counter': 65, 'group_counter': 2870, 'group_order': 1440, 'label': '12D1', 'order': 12, 'powers': [28, 18, 67], 'representative': 1217, 'size': 3}
  • id: 118270108
    {'aut_label': '12C1', 'centralizer': '3.b1.a1', 'counter': 66, 'group_counter': 2870, 'group_order': 1440, 'label': '12D-1', 'order': 12, 'powers': [29, 19, 68], 'representative': 1211, 'size': 3}
  • id: 118270109
    {'aut_label': '12C1', 'centralizer': '3.b1.a1', 'counter': 67, 'group_counter': 2870, 'group_order': 1440, 'label': '12D5', 'order': 12, 'powers': [29, 18, 65], 'representative': 1209, 'size': 3}
  • id: 118270110
    {'aut_label': '12C1', 'centralizer': '3.b1.a1', 'counter': 68, 'group_counter': 2870, 'group_order': 1440, 'label': '12D-5', 'order': 12, 'powers': [28, 19, 66], 'representative': 1219, 'size': 3}
  • id: 118270111
    {'aut_label': '12E', 'centralizer': '4.b1.a1', 'counter': 69, 'group_counter': 2870, 'group_order': 1440, 'label': '12E', 'order': 12, 'powers': [36, 14, 69], 'representative': 120, 'size': 4}
  • id: 118270113
    {'aut_label': '12E', 'centralizer': '4.b1.a1', 'counter': 70, 'group_counter': 2870, 'group_order': 1440, 'label': '12F', 'order': 12, 'powers': [36, 15, 70], 'representative': 122, 'size': 4}
  • id: 118270114
    {'aut_label': '12G1', 'centralizer': '4.b1.a1', 'counter': 71, 'group_counter': 2870, 'group_order': 1440, 'label': '12G1', 'order': 12, 'powers': [41, 14, 72], 'representative': 136, 'size': 4}
  • id: 118270115
    {'aut_label': '12G1', 'centralizer': '4.b1.a1', 'counter': 72, 'group_counter': 2870, 'group_order': 1440, 'label': '12G-1', 'order': 12, 'powers': [42, 14, 71], 'representative': 1328, 'size': 4}
  • id: 118270116
    {'aut_label': '12G1', 'centralizer': '4.b1.a1', 'counter': 73, 'group_counter': 2870, 'group_order': 1440, 'label': '12H1', 'order': 12, 'powers': [41, 15, 74], 'representative': 138, 'size': 4}
  • id: 118270117
    {'aut_label': '12G1', 'centralizer': '4.b1.a1', 'counter': 74, 'group_counter': 2870, 'group_order': 1440, 'label': '12H-1', 'order': 12, 'powers': [42, 15, 73], 'representative': 1330, 'size': 4}
  • id: 118270118
    {'aut_label': '12I1', 'centralizer': '6.j1.a1', 'counter': 75, 'group_counter': 2870, 'group_order': 1440, 'label': '12I1', 'order': 12, 'powers': [32, 20, 77], 'representative': 617, 'size': 6}
  • id: 118270119
    {'aut_label': '12I1', 'centralizer': '6.j1.a1', 'counter': 76, 'group_counter': 2870, 'group_order': 1440, 'label': '12I-1', 'order': 12, 'powers': [33, 21, 78], 'representative': 1331, 'size': 6}
  • id: 118270120
    {'aut_label': '12I1', 'centralizer': '6.j1.a1', 'counter': 77, 'group_counter': 2870, 'group_order': 1440, 'label': '12I5', 'order': 12, 'powers': [33, 20, 75], 'representative': 609, 'size': 6}
  • id: 118270121
    {'aut_label': '12I1', 'centralizer': '6.j1.a1', 'counter': 78, 'group_counter': 2870, 'group_order': 1440, 'label': '12I-5', 'order': 12, 'powers': [32, 21, 76], 'representative': 1339, 'size': 6}
  • id: 118270122
    {'aut_label': '12J1', 'centralizer': '10.b1.a1', 'counter': 79, 'group_counter': 2870, 'group_order': 1440, 'label': '12J1', 'order': 12, 'powers': [28, 22, 81], 'representative': 5, 'size': 10}
  • id: 118270124
    {'aut_label': '12J1', 'centralizer': '10.b1.a1', 'counter': 80, 'group_counter': 2870, 'group_order': 1440, 'label': '12J-1', 'order': 12, 'powers': [29, 23, 82], 'representative': 23, 'size': 10}
  • id: 118270125
    {'aut_label': '12J1', 'centralizer': '10.b1.a1', 'counter': 81, 'group_counter': 2870, 'group_order': 1440, 'label': '12J5', 'order': 12, 'powers': [29, 22, 79], 'representative': 21, 'size': 10}
  • id: 118270126
    {'aut_label': '12J1', 'centralizer': '10.b1.a1', 'counter': 82, 'group_counter': 2870, 'group_order': 1440, 'label': '12J-5', 'order': 12, 'powers': [28, 23, 80], 'representative': 7, 'size': 10}
  • id: 118270127
    {'aut_label': '12J1', 'centralizer': '10.b1.b1', 'counter': 83, 'group_counter': 2870, 'group_order': 1440, 'label': '12K1', 'order': 12, 'powers': [28, 24, 85], 'representative': 77, 'size': 10}
  • id: 118270128
    {'aut_label': '12J1', 'centralizer': '10.b1.b1', 'counter': 84, 'group_counter': 2870, 'group_order': 1440, 'label': '12K-1', 'order': 12, 'powers': [29, 25, 86], 'representative': 95, 'size': 10}
  • id: 118270129
    {'aut_label': '12J1', 'centralizer': '10.b1.b1', 'counter': 85, 'group_counter': 2870, 'group_order': 1440, 'label': '12K5', 'order': 12, 'powers': [29, 24, 83], 'representative': 93, 'size': 10}
  • id: 118270130
    {'aut_label': '12J1', 'centralizer': '10.b1.b1', 'counter': 86, 'group_counter': 2870, 'group_order': 1440, 'label': '12K-5', 'order': 12, 'powers': [28, 25, 84], 'representative': 79, 'size': 10}
  • id: 118270131
    {'aut_label': '12L1', 'centralizer': '20.e1.a1', 'counter': 87, 'group_counter': 2870, 'group_order': 1440, 'label': '12L1', 'order': 12, 'powers': [34, 22, 87], 'representative': 109, 'size': 20}
  • id: 118270132
    {'aut_label': '12L1', 'centralizer': '20.e1.a1', 'counter': 88, 'group_counter': 2870, 'group_order': 1440, 'label': '12L-1', 'order': 12, 'powers': [34, 23, 88], 'representative': 111, 'size': 20}
  • id: 118270133
    {'aut_label': '12L1', 'centralizer': '20.e1.b1', 'counter': 89, 'group_counter': 2870, 'group_order': 1440, 'label': '12M1', 'order': 12, 'powers': [34, 24, 89], 'representative': 37, 'size': 20}
  • id: 118270135
    {'aut_label': '12L1', 'centralizer': '20.e1.b1', 'counter': 90, 'group_counter': 2870, 'group_order': 1440, 'label': '12M-1', 'order': 12, 'powers': [34, 25, 90], 'representative': 39, 'size': 20}
  • id: 118270136
    {'aut_label': '12N1', 'centralizer': '20.e1.a1', 'counter': 91, 'group_counter': 2870, 'group_order': 1440, 'label': '12N1', 'order': 12, 'powers': [37, 22, 93], 'representative': 101, 'size': 20}
  • id: 118270137
    {'aut_label': '12N1', 'centralizer': '20.e1.a1', 'counter': 92, 'group_counter': 2870, 'group_order': 1440, 'label': '12N-1', 'order': 12, 'powers': [38, 23, 94], 'representative': 119, 'size': 20}
  • id: 118270138
    {'aut_label': '12N1', 'centralizer': '20.e1.a1', 'counter': 93, 'group_counter': 2870, 'group_order': 1440, 'label': '12N5', 'order': 12, 'powers': [38, 22, 91], 'representative': 117, 'size': 20}
  • id: 118270139
    {'aut_label': '12N1', 'centralizer': '20.e1.a1', 'counter': 94, 'group_counter': 2870, 'group_order': 1440, 'label': '12N-5', 'order': 12, 'powers': [37, 23, 92], 'representative': 103, 'size': 20}
  • id: 118270140
    {'aut_label': '12N1', 'centralizer': '20.e1.b1', 'counter': 95, 'group_counter': 2870, 'group_order': 1440, 'label': '12O1', 'order': 12, 'powers': [37, 24, 97], 'representative': 29, 'size': 20}
  • id: 118270141
    {'aut_label': '12N1', 'centralizer': '20.e1.b1', 'counter': 96, 'group_counter': 2870, 'group_order': 1440, 'label': '12O-1', 'order': 12, 'powers': [38, 25, 98], 'representative': 47, 'size': 20}
  • id: 118270142
    {'aut_label': '12N1', 'centralizer': '20.e1.b1', 'counter': 97, 'group_counter': 2870, 'group_order': 1440, 'label': '12O5', 'order': 12, 'powers': [38, 24, 95], 'representative': 45, 'size': 20}
  • id: 118270143
    {'aut_label': '12N1', 'centralizer': '20.e1.b1', 'counter': 98, 'group_counter': 2870, 'group_order': 1440, 'label': '12O-5', 'order': 12, 'powers': [37, 25, 96], 'representative': 31, 'size': 20}
  • id: 118270144
    {'aut_label': '15A1', 'centralizer': '2.d1.a1', 'counter': 99, 'group_counter': 2870, 'group_order': 1440, 'label': '15A1', 'order': 15, 'powers': [101, 26, 10], 'representative': 296, 'size': 2}
  • id: 118269913
    {'aut_label': '15A1', 'centralizer': '2.d1.a1', 'counter': 100, 'group_counter': 2870, 'group_order': 1440, 'label': '15A-1', 'order': 15, 'powers': [102, 26, 9], 'representative': 1168, 'size': 2}
  • id: 118269914
    {'aut_label': '15A1', 'centralizer': '2.d1.a1', 'counter': 101, 'group_counter': 2870, 'group_order': 1440, 'label': '15A2', 'order': 15, 'powers': [99, 27, 9], 'representative': 592, 'size': 2}
  • id: 118269915
    {'aut_label': '15A1', 'centralizer': '2.d1.a1', 'counter': 102, 'group_counter': 2870, 'group_order': 1440, 'label': '15A-2', 'order': 15, 'powers': [100, 27, 10], 'representative': 872, 'size': 2}
  • id: 118269916
    {'aut_label': '15B1', 'centralizer': '4.b1.a1', 'counter': 103, 'group_counter': 2870, 'group_order': 1440, 'label': '15B1', 'order': 15, 'powers': [104, 26, 11], 'representative': 192, 'size': 4}
  • id: 118269917
    {'aut_label': '15B1', 'centralizer': '4.b1.a1', 'counter': 104, 'group_counter': 2870, 'group_order': 1440, 'label': '15B2', 'order': 15, 'powers': [103, 27, 11], 'representative': 384, 'size': 4}
  • id: 118269918
    {'aut_label': '15C1', 'centralizer': '4.b1.a1', 'counter': 105, 'group_counter': 2870, 'group_order': 1440, 'label': '15C1', 'order': 15, 'powers': [107, 26, 13], 'representative': 208, 'size': 4}
  • id: 118269919
    {'aut_label': '15C1', 'centralizer': '4.b1.a1', 'counter': 106, 'group_counter': 2870, 'group_order': 1440, 'label': '15C-1', 'order': 15, 'powers': [108, 26, 12], 'representative': 1256, 'size': 4}
  • id: 118269920
    {'aut_label': '15C1', 'centralizer': '4.b1.a1', 'counter': 107, 'group_counter': 2870, 'group_order': 1440, 'label': '15C2', 'order': 15, 'powers': [105, 27, 12], 'representative': 392, 'size': 4}
  • id: 118269921
    {'aut_label': '15C1', 'centralizer': '4.b1.a1', 'counter': 108, 'group_counter': 2870, 'group_order': 1440, 'label': '15C-2', 'order': 15, 'powers': [106, 27, 13], 'representative': 1072, 'size': 4}
  • id: 118269922
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 109, 'group_counter': 2870, 'group_order': 1440, 'label': '20A1', 'order': 20, 'powers': [55, 110, 14], 'representative': 216, 'size': 2}
  • id: 118269924
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 110, 'group_counter': 2870, 'group_order': 1440, 'label': '20A3', 'order': 20, 'powers': [56, 112, 14], 'representative': 648, 'size': 2}
  • id: 118269925
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 111, 'group_counter': 2870, 'group_order': 1440, 'label': '20A7', 'order': 20, 'powers': [56, 109, 14], 'representative': 72, 'size': 2}
  • id: 118269926
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 112, 'group_counter': 2870, 'group_order': 1440, 'label': '20A9', 'order': 20, 'powers': [55, 111, 14], 'representative': 504, 'size': 2}
  • id: 118269927
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 113, 'group_counter': 2870, 'group_order': 1440, 'label': '20B1', 'order': 20, 'powers': [55, 114, 15], 'representative': 218, 'size': 2}
  • id: 118269928
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 114, 'group_counter': 2870, 'group_order': 1440, 'label': '20B3', 'order': 20, 'powers': [56, 116, 15], 'representative': 650, 'size': 2}
  • id: 118269929
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 115, 'group_counter': 2870, 'group_order': 1440, 'label': '20B7', 'order': 20, 'powers': [56, 113, 15], 'representative': 74, 'size': 2}
  • id: 118269930
    {'aut_label': '20A1', 'centralizer': '2.d1.a1', 'counter': 116, 'group_counter': 2870, 'group_order': 1440, 'label': '20B9', 'order': 20, 'powers': [55, 115, 15], 'representative': 506, 'size': 2}
  • id: 118269931
    {'aut_label': '20C1', 'centralizer': '6.j1.a1', 'counter': 117, 'group_counter': 2870, 'group_order': 1440, 'label': '20C1', 'order': 20, 'powers': [51, 119, 16], 'representative': 867, 'size': 6}
  • id: 118269932
    {'aut_label': '20C1', 'centralizer': '6.j1.a1', 'counter': 118, 'group_counter': 2870, 'group_order': 1440, 'label': '20C-1', 'order': 20, 'powers': [51, 120, 17], 'representative': 577, 'size': 6}
  • id: 118269933
    {'aut_label': '20C1', 'centralizer': '6.j1.a1', 'counter': 119, 'group_counter': 2870, 'group_order': 1440, 'label': '20C3', 'order': 20, 'powers': [52, 117, 17], 'representative': 1153, 'size': 6}
  • id: 118269935
    {'aut_label': '20C1', 'centralizer': '6.j1.a1', 'counter': 120, 'group_counter': 2870, 'group_order': 1440, 'label': '20C-3', 'order': 20, 'powers': [52, 118, 16], 'representative': 291, 'size': 6}
  • id: 118269936
    {'aut_label': '20C1', 'centralizer': '6.j1.a1', 'counter': 121, 'group_counter': 2870, 'group_order': 1440, 'label': '20D1', 'order': 20, 'powers': [51, 123, 18], 'representative': 627, 'size': 6}
  • id: 118269937
    {'aut_label': '20C1', 'centralizer': '6.j1.a1', 'counter': 122, 'group_counter': 2870, 'group_order': 1440, 'label': '20D-1', 'order': 20, 'powers': [51, 124, 19], 'representative': 337, 'size': 6}
  • id: 118269938
    {'aut_label': '20C1', 'centralizer': '6.j1.a1', 'counter': 123, 'group_counter': 2870, 'group_order': 1440, 'label': '20D3', 'order': 20, 'powers': [52, 121, 19], 'representative': 913, 'size': 6}
  • id: 118269939
    {'aut_label': '20C1', 'centralizer': '6.j1.a1', 'counter': 124, 'group_counter': 2870, 'group_order': 1440, 'label': '20D-3', 'order': 20, 'powers': [52, 122, 18], 'representative': 51, 'size': 6}
  • id: 118269940
    {'aut_label': '20E1', 'centralizer': '6.j1.a1', 'counter': 125, 'group_counter': 2870, 'group_order': 1440, 'label': '20E1', 'order': 20, 'powers': [53, 127, 20], 'representative': 1035, 'size': 6}
  • id: 118269941
    {'aut_label': '20E1', 'centralizer': '6.j1.a1', 'counter': 126, 'group_counter': 2870, 'group_order': 1440, 'label': '20E-1', 'order': 20, 'powers': [53, 128, 21], 'representative': 889, 'size': 6}
  • id: 118269942
    {'aut_label': '20E1', 'centralizer': '6.j1.a1', 'counter': 127, 'group_counter': 2870, 'group_order': 1440, 'label': '20E3', 'order': 20, 'powers': [54, 131, 21], 'representative': 1177, 'size': 6}
  • id: 118269943
    {'aut_label': '20E1', 'centralizer': '6.j1.a1', 'counter': 128, 'group_counter': 2870, 'group_order': 1440, 'label': '20E-3', 'order': 20, 'powers': [54, 132, 20], 'representative': 747, 'size': 6}
  • id: 118269944
    {'aut_label': '20E1', 'centralizer': '6.j1.a1', 'counter': 129, 'group_counter': 2870, 'group_order': 1440, 'label': '20E7', 'order': 20, 'powers': [54, 125, 21], 'representative': 25, 'size': 6}
  • id: 118269946
    {'aut_label': '20E1', 'centralizer': '6.j1.a1', 'counter': 130, 'group_counter': 2870, 'group_order': 1440, 'label': '20E-7', 'order': 20, 'powers': [54, 126, 20], 'representative': 459, 'size': 6}
  • id: 118269947
    {'aut_label': '20E1', 'centralizer': '6.j1.a1', 'counter': 131, 'group_counter': 2870, 'group_order': 1440, 'label': '20E9', 'order': 20, 'powers': [53, 129, 20], 'representative': 171, 'size': 6}
  • id: 118269948
    {'aut_label': '20E1', 'centralizer': '6.j1.a1', 'counter': 132, 'group_counter': 2870, 'group_order': 1440, 'label': '20E-9', 'order': 20, 'powers': [53, 130, 21], 'representative': 313, 'size': 6}
  • id: 118269949
    {'aut_label': '30A1', 'centralizer': '2.d1.a1', 'counter': 133, 'group_counter': 2870, 'group_order': 1440, 'label': '30A1', 'order': 30, 'powers': [99, 55, 30], 'representative': 160, 'size': 2}
  • id: 118269950
    {'aut_label': '30A1', 'centralizer': '2.d1.a1', 'counter': 134, 'group_counter': 2870, 'group_order': 1440, 'label': '30A-1', 'order': 30, 'powers': [100, 55, 31], 'representative': 1304, 'size': 2}
  • id: 118269951
    {'aut_label': '30A1', 'centralizer': '2.d1.a1', 'counter': 135, 'group_counter': 2870, 'group_order': 1440, 'label': '30A7', 'order': 30, 'powers': [102, 56, 30], 'representative': 1024, 'size': 2}
  • id: 118269952
    {'aut_label': '30A1', 'centralizer': '2.d1.a1', 'counter': 136, 'group_counter': 2870, 'group_order': 1440, 'label': '30A-7', 'order': 30, 'powers': [101, 56, 31], 'representative': 440, 'size': 2}
  • id: 118269953
    {'aut_label': '30B1', 'centralizer': '2.d1.a1', 'counter': 137, 'group_counter': 2870, 'group_order': 1440, 'label': '30B1', 'order': 30, 'powers': [99, 51, 28], 'representative': 594, 'size': 2}
  • id: 118269954
    {'aut_label': '30B1', 'centralizer': '2.d1.a1', 'counter': 138, 'group_counter': 2870, 'group_order': 1440, 'label': '30B-1', 'order': 30, 'powers': [100, 51, 29], 'representative': 874, 'size': 2}
  • id: 118269955
    {'aut_label': '30B1', 'centralizer': '2.d1.a1', 'counter': 139, 'group_counter': 2870, 'group_order': 1440, 'label': '30B7', 'order': 30, 'powers': [102, 52, 28], 'representative': 1170, 'size': 2}
  • id: 118269957
    {'aut_label': '30B1', 'centralizer': '2.d1.a1', 'counter': 140, 'group_counter': 2870, 'group_order': 1440, 'label': '30B-7', 'order': 30, 'powers': [101, 52, 29], 'representative': 298, 'size': 2}
  • id: 118269958
    {'aut_label': '30C1', 'centralizer': '2.d1.a1', 'counter': 141, 'group_counter': 2870, 'group_order': 1440, 'label': '30C1', 'order': 30, 'powers': [102, 53, 32], 'representative': 1026, 'size': 2}
  • id: 118269959
    {'aut_label': '30C1', 'centralizer': '2.d1.a1', 'counter': 142, 'group_counter': 2870, 'group_order': 1440, 'label': '30C-1', 'order': 30, 'powers': [101, 53, 33], 'representative': 442, 'size': 2}
  • id: 118269960
    {'aut_label': '30C1', 'centralizer': '2.d1.a1', 'counter': 143, 'group_counter': 2870, 'group_order': 1440, 'label': '30C7', 'order': 30, 'powers': [99, 54, 32], 'representative': 1314, 'size': 2}
  • id: 118269961
    {'aut_label': '30C1', 'centralizer': '2.d1.a1', 'counter': 144, 'group_counter': 2870, 'group_order': 1440, 'label': '30C-7', 'order': 30, 'powers': [100, 54, 33], 'representative': 154, 'size': 2}
  • id: 118269962
    {'aut_label': '30D1', 'centralizer': '4.b1.a1', 'counter': 145, 'group_counter': 2870, 'group_order': 1440, 'label': '30D1', 'order': 30, 'powers': [103, 51, 34], 'representative': 98, 'size': 4}
  • id: 118269963
    {'aut_label': '30D1', 'centralizer': '4.b1.a1', 'counter': 146, 'group_counter': 2870, 'group_order': 1440, 'label': '30D7', 'order': 30, 'powers': [104, 52, 34], 'representative': 194, 'size': 4}
  • id: 118269964
    {'aut_label': '30E1', 'centralizer': '4.b1.a1', 'counter': 147, 'group_counter': 2870, 'group_order': 1440, 'label': '30E1', 'order': 30, 'powers': [104, 53, 35], 'representative': 50, 'size': 4}
  • id: 118269965
    {'aut_label': '30E1', 'centralizer': '4.b1.a1', 'counter': 148, 'group_counter': 2870, 'group_order': 1440, 'label': '30E7', 'order': 30, 'powers': [103, 54, 35], 'representative': 338, 'size': 4}
  • id: 118269966
    {'aut_label': '30F1', 'centralizer': '4.b1.a1', 'counter': 149, 'group_counter': 2870, 'group_order': 1440, 'label': '30F1', 'order': 30, 'powers': [104, 56, 36], 'representative': 48, 'size': 4}
  • id: 118269968
    {'aut_label': '30F1', 'centralizer': '4.b1.a1', 'counter': 150, 'group_counter': 2870, 'group_order': 1440, 'label': '30F7', 'order': 30, 'powers': [103, 55, 36], 'representative': 336, 'size': 4}
  • id: 118269969
    {'aut_label': '30G1', 'centralizer': '4.b1.a1', 'counter': 151, 'group_counter': 2870, 'group_order': 1440, 'label': '30G1', 'order': 30, 'powers': [105, 51, 38], 'representative': 106, 'size': 4}
  • id: 118269970
    {'aut_label': '30G1', 'centralizer': '4.b1.a1', 'counter': 152, 'group_counter': 2870, 'group_order': 1440, 'label': '30G-1', 'order': 30, 'powers': [106, 51, 37], 'representative': 114, 'size': 4}
  • id: 118269971
    {'aut_label': '30G1', 'centralizer': '4.b1.a1', 'counter': 153, 'group_counter': 2870, 'group_order': 1440, 'label': '30G7', 'order': 30, 'powers': [108, 52, 38], 'representative': 202, 'size': 4}
  • id: 118269972
    {'aut_label': '30G1', 'centralizer': '4.b1.a1', 'counter': 154, 'group_counter': 2870, 'group_order': 1440, 'label': '30G-7', 'order': 30, 'powers': [107, 52, 37], 'representative': 210, 'size': 4}
  • id: 118269973
    {'aut_label': '30H1', 'centralizer': '4.b1.a1', 'counter': 155, 'group_counter': 2870, 'group_order': 1440, 'label': '30H1', 'order': 30, 'powers': [108, 53, 39], 'representative': 58, 'size': 4}
  • id: 118269974
    {'aut_label': '30H1', 'centralizer': '4.b1.a1', 'counter': 156, 'group_counter': 2870, 'group_order': 1440, 'label': '30H-1', 'order': 30, 'powers': [107, 53, 40], 'representative': 66, 'size': 4}
  • id: 118269975
    {'aut_label': '30H1', 'centralizer': '4.b1.a1', 'counter': 157, 'group_counter': 2870, 'group_order': 1440, 'label': '30H7', 'order': 30, 'powers': [105, 54, 39], 'representative': 346, 'size': 4}
  • id: 118269976
    {'aut_label': '30H1', 'centralizer': '4.b1.a1', 'counter': 158, 'group_counter': 2870, 'group_order': 1440, 'label': '30H-7', 'order': 30, 'powers': [106, 54, 40], 'representative': 354, 'size': 4}
  • id: 118269977
    {'aut_label': '30I1', 'centralizer': '4.b1.a1', 'counter': 159, 'group_counter': 2870, 'group_order': 1440, 'label': '30I1', 'order': 30, 'powers': [107, 56, 41], 'representative': 64, 'size': 4}
  • id: 118269979
    {'aut_label': '30I1', 'centralizer': '4.b1.a1', 'counter': 160, 'group_counter': 2870, 'group_order': 1440, 'label': '30I-1', 'order': 30, 'powers': [108, 56, 42], 'representative': 1400, 'size': 4}
  • id: 118269980
    {'aut_label': '30I1', 'centralizer': '4.b1.a1', 'counter': 161, 'group_counter': 2870, 'group_order': 1440, 'label': '30I7', 'order': 30, 'powers': [106, 55, 41], 'representative': 352, 'size': 4}
  • id: 118269981
    {'aut_label': '30I1', 'centralizer': '4.b1.a1', 'counter': 162, 'group_counter': 2870, 'group_order': 1440, 'label': '30I-7', 'order': 30, 'powers': [105, 55, 42], 'representative': 1112, 'size': 4}
  • id: 118269982
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 163, 'group_counter': 2870, 'group_order': 1440, 'label': '60A1', 'order': 60, 'powers': [133, 109, 57], 'representative': 80, 'size': 2}
  • id: 118269983
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 164, 'group_counter': 2870, 'group_order': 1440, 'label': '60A-1', 'order': 60, 'powers': [134, 109, 58], 'representative': 88, 'size': 2}
  • id: 118269984
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 165, 'group_counter': 2870, 'group_order': 1440, 'label': '60A7', 'order': 60, 'powers': [135, 111, 57], 'representative': 512, 'size': 2}
  • id: 118269985
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 166, 'group_counter': 2870, 'group_order': 1440, 'label': '60A-7', 'order': 60, 'powers': [136, 111, 58], 'representative': 520, 'size': 2}
  • id: 118269986
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 167, 'group_counter': 2870, 'group_order': 1440, 'label': '60A11', 'order': 60, 'powers': [134, 112, 58], 'representative': 664, 'size': 2}
  • id: 118269987
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 168, 'group_counter': 2870, 'group_order': 1440, 'label': '60A-11', 'order': 60, 'powers': [133, 112, 57], 'representative': 656, 'size': 2}
  • id: 118269988
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 169, 'group_counter': 2870, 'group_order': 1440, 'label': '60A17', 'order': 60, 'powers': [136, 110, 58], 'representative': 232, 'size': 2}
  • id: 118269990
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 170, 'group_counter': 2870, 'group_order': 1440, 'label': '60A-17', 'order': 60, 'powers': [135, 110, 57], 'representative': 224, 'size': 2}
  • id: 118269991
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 171, 'group_counter': 2870, 'group_order': 1440, 'label': '60B1', 'order': 60, 'powers': [133, 113, 59], 'representative': 82, 'size': 2}
  • id: 118269992
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 172, 'group_counter': 2870, 'group_order': 1440, 'label': '60B-1', 'order': 60, 'powers': [134, 113, 60], 'representative': 90, 'size': 2}
  • id: 118269993
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 173, 'group_counter': 2870, 'group_order': 1440, 'label': '60B7', 'order': 60, 'powers': [135, 115, 59], 'representative': 514, 'size': 2}
  • id: 118269994
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 174, 'group_counter': 2870, 'group_order': 1440, 'label': '60B-7', 'order': 60, 'powers': [136, 115, 60], 'representative': 522, 'size': 2}
  • id: 118269995
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 175, 'group_counter': 2870, 'group_order': 1440, 'label': '60B11', 'order': 60, 'powers': [134, 116, 60], 'representative': 666, 'size': 2}
  • id: 118269996
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 176, 'group_counter': 2870, 'group_order': 1440, 'label': '60B-11', 'order': 60, 'powers': [133, 116, 59], 'representative': 658, 'size': 2}
  • id: 118269997
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 177, 'group_counter': 2870, 'group_order': 1440, 'label': '60B17', 'order': 60, 'powers': [136, 114, 60], 'representative': 234, 'size': 2}
  • id: 118269998
    {'aut_label': '60A1', 'centralizer': '2.d1.a1', 'counter': 178, 'group_counter': 2870, 'group_order': 1440, 'label': '60B-17', 'order': 60, 'powers': [135, 114, 59], 'representative': 226, 'size': 2}
  • id: 118269999
    {'aut_label': '60C1', 'centralizer': '4.b1.a1', 'counter': 179, 'group_counter': 2870, 'group_order': 1440, 'label': '60C1', 'order': 60, 'powers': [149, 111, 69], 'representative': 24, 'size': 4}
  • id: 118270001
    {'aut_label': '60C1', 'centralizer': '4.b1.a1', 'counter': 180, 'group_counter': 2870, 'group_order': 1440, 'label': '60C7', 'order': 60, 'powers': [150, 112, 69], 'representative': 312, 'size': 4}
  • id: 118270002
    {'aut_label': '60C1', 'centralizer': '4.b1.a1', 'counter': 181, 'group_counter': 2870, 'group_order': 1440, 'label': '60C11', 'order': 60, 'powers': [149, 110, 69], 'representative': 1176, 'size': 4}
  • id: 118270003
    {'aut_label': '60C1', 'centralizer': '4.b1.a1', 'counter': 182, 'group_counter': 2870, 'group_order': 1440, 'label': '60C17', 'order': 60, 'powers': [150, 109, 69], 'representative': 888, 'size': 4}
  • id: 118270004
    {'aut_label': '60C1', 'centralizer': '4.b1.a1', 'counter': 183, 'group_counter': 2870, 'group_order': 1440, 'label': '60D1', 'order': 60, 'powers': [149, 115, 70], 'representative': 26, 'size': 4}
  • id: 118270005
    {'aut_label': '60C1', 'centralizer': '4.b1.a1', 'counter': 184, 'group_counter': 2870, 'group_order': 1440, 'label': '60D7', 'order': 60, 'powers': [150, 116, 70], 'representative': 314, 'size': 4}
  • id: 118270006
    {'aut_label': '60C1', 'centralizer': '4.b1.a1', 'counter': 185, 'group_counter': 2870, 'group_order': 1440, 'label': '60D11', 'order': 60, 'powers': [149, 114, 70], 'representative': 1178, 'size': 4}
  • id: 118270007
    {'aut_label': '60C1', 'centralizer': '4.b1.a1', 'counter': 186, 'group_counter': 2870, 'group_order': 1440, 'label': '60D17', 'order': 60, 'powers': [150, 113, 70], 'representative': 890, 'size': 4}
  • id: 118270008
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 187, 'group_counter': 2870, 'group_order': 1440, 'label': '60E1', 'order': 60, 'powers': [159, 111, 71], 'representative': 32, 'size': 4}
  • id: 118270009
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 188, 'group_counter': 2870, 'group_order': 1440, 'label': '60E-1', 'order': 60, 'powers': [160, 111, 72], 'representative': 40, 'size': 4}
  • id: 118270010
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 189, 'group_counter': 2870, 'group_order': 1440, 'label': '60E7', 'order': 60, 'powers': [161, 112, 71], 'representative': 320, 'size': 4}
  • id: 118270012
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 190, 'group_counter': 2870, 'group_order': 1440, 'label': '60E-7', 'order': 60, 'powers': [162, 112, 72], 'representative': 328, 'size': 4}
  • id: 118270013
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 191, 'group_counter': 2870, 'group_order': 1440, 'label': '60E11', 'order': 60, 'powers': [160, 110, 72], 'representative': 1192, 'size': 4}
  • id: 118270014
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 192, 'group_counter': 2870, 'group_order': 1440, 'label': '60E-11', 'order': 60, 'powers': [159, 110, 71], 'representative': 1184, 'size': 4}
  • id: 118270015
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 193, 'group_counter': 2870, 'group_order': 1440, 'label': '60E17', 'order': 60, 'powers': [162, 109, 72], 'representative': 904, 'size': 4}
  • id: 118270016
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 194, 'group_counter': 2870, 'group_order': 1440, 'label': '60E-17', 'order': 60, 'powers': [161, 109, 71], 'representative': 896, 'size': 4}
  • id: 118270017
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 195, 'group_counter': 2870, 'group_order': 1440, 'label': '60F1', 'order': 60, 'powers': [159, 115, 73], 'representative': 34, 'size': 4}
  • id: 118270018
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 196, 'group_counter': 2870, 'group_order': 1440, 'label': '60F-1', 'order': 60, 'powers': [160, 115, 74], 'representative': 42, 'size': 4}
  • id: 118270019
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 197, 'group_counter': 2870, 'group_order': 1440, 'label': '60F7', 'order': 60, 'powers': [161, 116, 73], 'representative': 322, 'size': 4}
  • id: 118270020
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 198, 'group_counter': 2870, 'group_order': 1440, 'label': '60F-7', 'order': 60, 'powers': [162, 116, 74], 'representative': 330, 'size': 4}
  • id: 118270021
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 199, 'group_counter': 2870, 'group_order': 1440, 'label': '60F11', 'order': 60, 'powers': [160, 114, 74], 'representative': 1194, 'size': 4}
  • id: 118270024
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 200, 'group_counter': 2870, 'group_order': 1440, 'label': '60F-11', 'order': 60, 'powers': [159, 114, 73], 'representative': 1186, 'size': 4}
  • id: 118270025
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 201, 'group_counter': 2870, 'group_order': 1440, 'label': '60F17', 'order': 60, 'powers': [162, 113, 74], 'representative': 906, 'size': 4}
  • id: 118270026
    {'aut_label': '60E1', 'centralizer': '4.b1.a1', 'counter': 202, 'group_counter': 2870, 'group_order': 1440, 'label': '60F-17', 'order': 60, 'powers': [161, 113, 73], 'representative': 898, 'size': 4}
  • id: 118270027
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 203, 'group_counter': 2870, 'group_order': 1440, 'label': '60G1', 'order': 60, 'powers': [137, 117, 61], 'representative': 297, 'size': 6}
  • id: 118270028
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 204, 'group_counter': 2870, 'group_order': 1440, 'label': '60G-1', 'order': 60, 'powers': [138, 118, 62], 'representative': 307, 'size': 6}
  • id: 118270029
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 205, 'group_counter': 2870, 'group_order': 1440, 'label': '60G7', 'order': 60, 'powers': [139, 119, 64], 'representative': 107, 'size': 6}
  • id: 118270030
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 206, 'group_counter': 2870, 'group_order': 1440, 'label': '60G-7', 'order': 60, 'powers': [140, 120, 63], 'representative': 113, 'size': 6}
  • id: 118270031
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 207, 'group_counter': 2870, 'group_order': 1440, 'label': '60G13', 'order': 60, 'powers': [139, 120, 61], 'representative': 105, 'size': 6}
  • id: 118270032
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 208, 'group_counter': 2870, 'group_order': 1440, 'label': '60G-13', 'order': 60, 'powers': [140, 119, 62], 'representative': 115, 'size': 6}
  • id: 118270033
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 209, 'group_counter': 2870, 'group_order': 1440, 'label': '60G19', 'order': 60, 'powers': [137, 118, 64], 'representative': 299, 'size': 6}
  • id: 118270035
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 210, 'group_counter': 2870, 'group_order': 1440, 'label': '60G-19', 'order': 60, 'powers': [138, 117, 63], 'representative': 305, 'size': 6}
  • id: 118270036
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 211, 'group_counter': 2870, 'group_order': 1440, 'label': '60H1', 'order': 60, 'powers': [137, 121, 65], 'representative': 57, 'size': 6}
  • id: 118270037
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 212, 'group_counter': 2870, 'group_order': 1440, 'label': '60H-1', 'order': 60, 'powers': [138, 122, 66], 'representative': 67, 'size': 6}
  • id: 118270038
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 213, 'group_counter': 2870, 'group_order': 1440, 'label': '60H7', 'order': 60, 'powers': [139, 123, 68], 'representative': 347, 'size': 6}
  • id: 118270039
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 214, 'group_counter': 2870, 'group_order': 1440, 'label': '60H-7', 'order': 60, 'powers': [140, 124, 67], 'representative': 353, 'size': 6}
  • id: 118270040
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 215, 'group_counter': 2870, 'group_order': 1440, 'label': '60H13', 'order': 60, 'powers': [139, 124, 65], 'representative': 345, 'size': 6}
  • id: 118270041
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 216, 'group_counter': 2870, 'group_order': 1440, 'label': '60H-13', 'order': 60, 'powers': [140, 123, 66], 'representative': 355, 'size': 6}
  • id: 118270042
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 217, 'group_counter': 2870, 'group_order': 1440, 'label': '60H19', 'order': 60, 'powers': [137, 122, 68], 'representative': 59, 'size': 6}
  • id: 118270043
    {'aut_label': '60G1', 'centralizer': '6.j1.a1', 'counter': 218, 'group_counter': 2870, 'group_order': 1440, 'label': '60H-19', 'order': 60, 'powers': [138, 121, 67], 'representative': 65, 'size': 6}
  • id: 118270044
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 219, 'group_counter': 2870, 'group_order': 1440, 'label': '60I1', 'order': 60, 'powers': [141, 125, 75], 'representative': 33, 'size': 6}
  • id: 118270046
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 220, 'group_counter': 2870, 'group_order': 1440, 'label': '60I-1', 'order': 60, 'powers': [142, 126, 76], 'representative': 43, 'size': 6}
  • id: 118270047
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 221, 'group_counter': 2870, 'group_order': 1440, 'label': '60I7', 'order': 60, 'powers': [143, 129, 78], 'representative': 323, 'size': 6}
  • id: 118270048
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 222, 'group_counter': 2870, 'group_order': 1440, 'label': '60I-7', 'order': 60, 'powers': [144, 130, 77], 'representative': 329, 'size': 6}
  • id: 118270049
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 223, 'group_counter': 2870, 'group_order': 1440, 'label': '60I11', 'order': 60, 'powers': [142, 132, 76], 'representative': 235, 'size': 6}
  • id: 118270050
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 224, 'group_counter': 2870, 'group_order': 1440, 'label': '60I-11', 'order': 60, 'powers': [141, 131, 75], 'representative': 225, 'size': 6}
  • id: 118270051
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 225, 'group_counter': 2870, 'group_order': 1440, 'label': '60I13', 'order': 60, 'powers': [143, 130, 75], 'representative': 321, 'size': 6}
  • id: 118270052
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 226, 'group_counter': 2870, 'group_order': 1440, 'label': '60I-13', 'order': 60, 'powers': [144, 129, 76], 'representative': 331, 'size': 6}
  • id: 118270053
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 227, 'group_counter': 2870, 'group_order': 1440, 'label': '60I17', 'order': 60, 'powers': [144, 128, 77], 'representative': 89, 'size': 6}
  • id: 118270054
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 228, 'group_counter': 2870, 'group_order': 1440, 'label': '60I-17', 'order': 60, 'powers': [143, 127, 78], 'representative': 83, 'size': 6}
  • id: 118270055
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 229, 'group_counter': 2870, 'group_order': 1440, 'label': '60I19', 'order': 60, 'powers': [141, 126, 78], 'representative': 35, 'size': 6}
  • id: 118270057
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 230, 'group_counter': 2870, 'group_order': 1440, 'label': '60I-19', 'order': 60, 'powers': [142, 125, 77], 'representative': 41, 'size': 6}
  • id: 118270058
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 231, 'group_counter': 2870, 'group_order': 1440, 'label': '60I23', 'order': 60, 'powers': [144, 127, 76], 'representative': 91, 'size': 6}
  • id: 118270059
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 232, 'group_counter': 2870, 'group_order': 1440, 'label': '60I-23', 'order': 60, 'powers': [143, 128, 75], 'representative': 81, 'size': 6}
  • id: 118270060
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 233, 'group_counter': 2870, 'group_order': 1440, 'label': '60I29', 'order': 60, 'powers': [142, 131, 77], 'representative': 233, 'size': 6}
  • id: 118270061
    {'aut_label': '60I1', 'centralizer': '6.j1.a1', 'counter': 234, 'group_counter': 2870, 'group_order': 1440, 'label': '60I-29', 'order': 60, 'powers': [141, 132, 78], 'representative': 227, 'size': 6}
• 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: 6299995
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1a', '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 6300006
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1b', '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6300017
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1c', '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 6300028
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1d', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -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: 6300039
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1e', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 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: 6300050
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1f', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -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: 6300061
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1g', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 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: 6300069
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1h', '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6300070
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1i', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6299996
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6299997
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -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, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6299998
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -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, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6299999
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1m', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6300000
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1n', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, -1, -1, 2, -1, -1, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6300001
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1o', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6300002
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1p', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 2, -2, 2, -1, -1, 2, -1, -1, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 2, -2, 1, 1, 1, 1, -2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 6300003
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1q', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 2, -2, 2, -1, -1, 2, -1, -1, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -2, 2, -1, -1, -1, -1, 2, 1, 1, 1, -2, 1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 6300004
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -2, 2, -2, -1, -1, 2, -1, -1, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -2, 2, -1, -1, -1, -1, 2, 1, 1, 1, -2, 1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 6300005
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1s', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -2, 2, -2, -1, -1, 2, -1, -1, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 2, -2, 1, 1, 1, 1, -2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 6300007
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1t', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6300012
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, 2, 2, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -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], 'schur_index': 1}
  • id: 6300013
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 2, -2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 2, 2, -2, -2, 0, -2, -2, 0, 0, 0, 0, -2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, -2], 'schur_index': 1}
  • id: 6300014
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, -2, -2, 0, 0, 0, 0, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, -2, -2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, -2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 2], 'schur_index': 1}
  • id: 6300015
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, 2, 2, -1, -1, -1, -2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, -2, -2, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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], 'schur_index': 1}
  • id: 6300016
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2e', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, 2, 2, -1, -1, -1, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, 2, 2, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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], 'schur_index': 1}
  • id: 6300018
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, 2, 2, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -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], 'schur_index': 1}
  • id: 6300008
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1u', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, -4, 4, 4, -2, -2, 4, -2, -2, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, -2, 2, -2, -4, -4, -2, 4, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -4, -4, -4, -4, 4, 4, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, -2, -2, 4, -2, 4, -2, -2, -2, -4, -4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 4, 2, -2, -4, -2, -4, 2, -2, -4, -4, 2, 4, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 4, 2, -4, -4, 2, -4, 4, -4, 2, 4, 4, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6300009
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1v', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, 4, -4, -2, -2, 4, -2, -2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, -2, 2, -2, -4, -4, -2, 4, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -4, -4, -4, -4, 4, 4, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -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, -2, -2, -2, -2, 4, -2, 4, -2, -2, -2, 4, 4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 4, 2, -2, -4, -2, -4, 2, -2, -4, -4, 2, 4, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -4, -2, 4, 4, -2, 4, -4, 4, -2, -4, -4, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6300010
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1w', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, -4, 4, -2, -2, 4, -2, -2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, -2, 2, -2, -4, -4, -2, 4, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -4, -4, -4, -4, 4, 4, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -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, -2, -2, -2, -2, 4, -2, 4, -2, -2, -2, 4, 4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 4, 2, -2, -4, -2, -4, 2, -2, -4, -4, 2, 4, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -4, -2, 4, 4, -2, 4, -4, 4, -2, -4, -4, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6300011
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.1x', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, -4, -4, -2, -2, 4, -2, -2, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, -2, 2, -2, -4, -4, -2, 4, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -4, -4, -4, -4, 4, 4, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, -2, -2, 4, -2, 4, -2, -2, -2, -4, -4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 4, 2, -2, -4, -2, -4, 2, -2, -4, -4, 2, 4, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 4, 2, -4, -4, 2, -4, 4, -4, 2, 4, 4, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6300019
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2g', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6300020
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2h', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, -2, -2, -2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, -2, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, -2, 1, -2, -2, 1, -2, -2, -2, 1, -2, -2, 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], 'schur_index': 1}
  • id: 6300021
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2i', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, 4, -4, 4, -4, -4, 4, -4, -4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, -4, -4, -4, -4, -4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6300022
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2j', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 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: 6300023
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2k', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, -4, -4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -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: 6300024
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2l', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 6300025
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2m', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 0, 0, 4, 4, -2, -2, -2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, 4, -4, 4, 2, 2, -2, -2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 4, 4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, -4, -4, -4, 4, 4, 4, -4, 2, 2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, -4, 4, -4, 4, 4, -4, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6300026
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2n', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 0, 0, 4, 4, -2, -2, -2, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, 4, -4, 4, 2, 2, -2, -2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -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, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -4, -4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, -4, -4, -4, 4, 4, 4, -4, 2, 2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 4, -4, -4, 4, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6300027
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2o', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 4, -2, -2, 0, 0, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, -2, -2, 2, 2, 2, 2, 4, -4, 2, -4, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 4, -2, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 4, 4, -4, -4, 0, 0, 0, 0, 0, 4, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -4, 2, 2, 4, 2, 4, -2, 2, -4, -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, 2, 0, -2, 0, 0, 0, -2, -2, -2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, -2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 2], 'schur_index': 1}
  • id: 6300029
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2p', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 4, -2, -2, 0, 0, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 4, 4, -2, -2, 2, 2, 2, 2, 4, -4, 2, -4, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 2, -2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 4, -2, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, -4, -4, 4, 4, 0, 0, 0, 0, 0, -4, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -4, 2, 2, 4, 2, 4, -2, 2, -4, -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, -2, 0, 2, 0, 0, 0, 2, 2, 2, -2, -2, 0, -2, -2, 0, 0, 0, 0, -2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, -2], 'schur_index': 1}
  • id: 6300030
    {'cdim': 2, 'counter': 41, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2q', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, -2, -2, -2, 1, 1, -4, -4, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 1, 1, 1, 1, -2, -1, -1, -1, 2, -1, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, -4, -4, -4, -4, -4, -4, -4, -4, 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, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, -2, 1, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, -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], 'schur_index': 1}
  • id: 6300031
    {'cdim': 2, 'counter': 42, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2r', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, -2, -2, -2, 1, 1, -4, -4, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -1, -1, -1, -1, 2, 1, 1, 1, -2, 1, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, -4, -4, -4, -4, -4, -4, -4, -4, 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, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, -2, 1, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, -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], 'schur_index': 1}
  • id: 6300032
    {'cdim': 2, 'counter': 43, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2s', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, -2, -2, -2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, -2, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, -2, 1, -2, -2, 1, -2, -2, -2, 1, -2, -2, 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], 'schur_index': 1}
  • id: 6300052
    {'cdim': 4, 'counter': 61, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4a', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 4, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, -4, -4, -2, 2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -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, -4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, 4, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6300053
    {'cdim': 4, 'counter': 62, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4b', 'multiplicity': 1, 'nt': [24, 28], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 4, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, 4, -4, 4, -4, 2, -2, 2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -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, 4, -4, 4, -4, -4, 4, 4, -4, -4, -4, -4, -4, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6300033
    {'cdim': 2, 'counter': 44, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2t', 'multiplicity': 4, 'nt': [15, 3], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 0, 0, 0, 0, -4, -4, 8, -4, -4, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, 8, 8, -4, 8, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 8, 8, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6300034
    {'cdim': 2, 'counter': 45, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2u', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, -8, 8, -8, 8, -8, -8, 8, 8, -8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -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, -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, 2, 2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -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], 'schur_index': 1}
  • id: 6300035
    {'cdim': 2, 'counter': 46, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2v', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, -8, 8, -8, 8, -8, -8, 8, 8, -8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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, 2, 2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 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], 'schur_index': 1}
  • id: 6300036
    {'cdim': 2, 'counter': 47, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2w', 'multiplicity': 4, 'nt': [20, 10], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, -2, -2, 8, 8, -8, -8, -8, -8, 8, -8, -8, -8, -8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, 0, 0, 0, 0, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, -2, -2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, -2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 2], 'schur_index': 1}
  • id: 6300037
    {'cdim': 2, 'counter': 48, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2x', 'multiplicity': 4, 'nt': [20, 10], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, -2, -2, 8, 8, -8, -8, -8, -8, 8, -8, -8, -8, -8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, 0, 0, 0, 0, -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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 2, 2, -2, -2, 0, -2, -2, 0, 0, 0, 0, -2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, -2], 'schur_index': 1}
  • id: 6300038
    {'cdim': 2, 'counter': 49, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2y', 'multiplicity': 4, 'nt': [24, 17], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, -4, -4, 8, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, -4, 4, -4, 4, -8, 8, 4, -8, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -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, -4, -4, -4, -4, 8, -4, 8, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, -4, -4, 4, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -8, -4, 4, -8, 4, -8, 4, 4, 8, 8, 4, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6300040
    {'cdim': 2, 'counter': 50, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2z', 'multiplicity': 4, 'nt': [24, 65], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 0, 0, -4, -4, -4, 2, 2, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, 4, -4, 4, -4, 4, 4, 2, -4, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 8, 8, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 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, -4, -4, 2, -4, 2, 2, 2, 8, 8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, 4, 4, 4, -4, -4, -4, 4, -2, -2, -2, 2, -2, -2, -4, -2, 2, 4, 2, 4, -2, 2, 4, 4, -2, -4, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 4, -4, -4, 4, 2, -2, 2, 4, 2, -4, -4, 2, -4, 4, -4, 2, 4, 4, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6300041
    {'cdim': 2, 'counter': 51, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2aa', 'multiplicity': 4, 'nt': [24, 65], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 0, 0, -4, -4, -4, 2, 2, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, 4, -4, 4, -4, 4, 4, 2, -4, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 8, 8, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -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, -4, -4, 2, -4, 2, 2, 2, -8, -8, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, 4, 4, 4, -4, -4, -4, 4, -2, -2, -2, 2, -2, -2, -4, -2, 2, 4, 2, 4, -2, 2, 4, 4, -2, -4, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, -4, 4, -4, 4, 4, -4, -2, 2, -2, -4, -2, 4, 4, -2, 4, -4, 4, -2, -4, -4, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6300042
    {'cdim': 2, 'counter': 52, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2ab', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 0, 0, 0, 0, -4, -4, 8, -4, -4, -8, -8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, 8, 8, -4, 8, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -8, -8, 4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, -2, 1, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 6300043
    {'cdim': 2, 'counter': 53, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2ac', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 0, 0, 0, 0, -4, -4, 8, -4, -4, -8, -8, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, 8, 8, -4, 8, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -8, -8, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, -2, 1, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 6300044
    {'cdim': 2, 'counter': 54, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2ad', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 0, 0, 0, 0, -4, -4, 8, -4, -4, 8, 8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, 8, 8, -4, 8, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, -4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6300054
    {'cdim': 4, 'counter': 63, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4c', 'multiplicity': 2, 'nt': [15, 7], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 0, 0, 0, 0, 8, 8, -4, -4, -4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 8, 8, 8, 8, 8, 8, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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], 'schur_index': 1}
  • id: 6300055
    {'cdim': 4, 'counter': 64, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4d', 'multiplicity': 2, 'nt': [24, 208], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 0, 0, 0, 0, -4, -4, -4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -4, -4, 4, 4, 4, 4, -4, 4, -2, 4, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 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, -4, -4, -4, -4, -4, 2, -4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 4, -4, 4, 4, 4, -4, 2, 2, -2, -2, -2, -2, 4, -2, -2, -4, -2, -4, 2, -2, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6300056
    {'cdim': 4, 'counter': 65, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4e', 'multiplicity': 2, 'nt': [30, 21], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 0, 0, 0, 0, 8, 8, -4, -4, -4, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 8, 8, 8, 8, 8, 8, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -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], 'schur_index': 1}
  • id: 6300057
    {'cdim': 4, 'counter': 66, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4f', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, -4, -4, -4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, -4, 4, -4, 4, 4, -4, -2, 4, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -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, -4, -4, -4, -4, -4, 2, -4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, -4, -4, 4, 4, 4, 4, 4, -2, -2, 2, -2, 2, 2, 4, 2, -2, 4, -2, 4, -2, -2, -4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6300058
    {'cdim': 4, 'counter': 67, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4g', 'multiplicity': 2, 'nt': [60, 0], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 0, 0, 8, 8, -4, -4, -4, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, -8, 8, -8, 8, 4, 4, -4, -4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, -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, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 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], 'schur_index': 1}
  • id: 6300059
    {'cdim': 4, 'counter': 68, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4h', 'multiplicity': 2, 'nt': [60, 0], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 0, 0, 8, 8, -4, -4, -4, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, -8, 8, -8, 8, 4, 4, -4, -4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 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, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, -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], 'schur_index': 1}
  • id: 6300045
    {'cdim': 2, 'counter': 55, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2ae', 'multiplicity': 8, 'nt': [40, 23], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 0, 0, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -16, -16, 16, -16, 16, -16, -16, 16, -16, -16, 16, -16, 16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, -4, -4, 4, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, 4, -4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6300046
    {'cdim': 2, 'counter': 56, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2af', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, 0, 0, -8, -8, 16, -8, -8, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, 8, -8, 8, -8, -16, -16, -8, 16, 8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -16, 16, 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, 2, 2, 2, 2, -4, 2, -4, 2, 2, 2, -4, -4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -4, -2, 2, 4, 2, 4, -2, 2, 4, 4, -2, -4, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 4, 2, -4, -4, 2, -4, 4, -4, 2, 4, 4, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6300047
    {'cdim': 2, 'counter': 57, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2ag', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, 0, 0, -8, -8, 16, -8, -8, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, 8, -8, 8, -8, -16, -16, -8, 16, 8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 16, -16, -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, 2, 2, 2, 2, -4, 2, -4, 2, 2, 2, 4, 4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -4, -2, 2, 4, 2, 4, -2, 2, 4, 4, -2, -4, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -4, -2, 4, 4, -2, 4, -4, 4, -2, -4, -4, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6300048
    {'cdim': 2, 'counter': 58, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2ah', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 0, 0, 0, 0, -8, -8, 16, -8, -8, 0, 0, -16, -16, 16, 16, 0, 0, 0, 0, 0, 0, -4, -4, -8, -8, 8, 8, 8, 8, 16, -16, 8, -16, 8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, 4, 0, 0, 0, 0, -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, 2, 2, 2, 2, -4, 2, -4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, -4, -4, 4, 4, 0, 0, 0, 0, 0, -4, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 4, -2, -2, -4, -2, -4, 2, -2, 4, 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, -2, 0, 2, 0, 0, 0, 2, 2, 2, -2, -2, 0, -2, -2, 0, 0, 0, 0, -2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, -2], 'schur_index': 1}
  • id: 6300049
    {'cdim': 2, 'counter': 59, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2ai', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 0, 0, 0, 0, -8, -8, 16, -8, -8, 0, 0, 16, 16, -16, -16, 0, 0, 0, 0, 0, 0, -4, -4, -8, -8, 8, 8, 8, 8, 16, -16, 8, -16, 8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, 4, 0, 0, 0, 0, 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, 2, 2, 2, 2, -4, 2, -4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 4, 4, -4, -4, 0, 0, 0, 0, 0, 4, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 4, -2, -2, -4, -2, -4, 2, -2, 4, 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, 2, 0, -2, 0, 0, 0, -2, -2, -2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, -2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 2], 'schur_index': 1}
  • id: 6300060
    {'cdim': 4, 'counter': 69, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4i', 'multiplicity': 4, 'nt': [30, 44], 'qdim': 16, 'qvalues': [16, 16, 16, 16, 0, 0, 0, 0, -8, -8, -8, 4, 4, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -8, -8, -8, -8, -8, -8, -8, -8, 4, -8, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -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, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, -4, -4, -4, -4, -4, -4, -4, -4, 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, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, -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], 'schur_index': 1}
  • id: 6300062
    {'cdim': 4, 'counter': 70, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4j', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 0, 0, 0, 0, 16, 16, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 16, 16, -16, -16, -16, -16, -8, 8, 8, 8, 8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 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, 4, -4, 4, -4, 4, 4, 4, -4, 4, 4, 4, -4, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6300063
    {'cdim': 4, 'counter': 71, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4k', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, 16, 16, 0, 0, 0, 0, -8, -8, -8, 4, 4, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -8, -8, -8, -8, -8, -8, -8, -8, 4, -8, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 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, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, -2, 1, -2, -2, 1, -2, -2, -2, 1, -2, -2, 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], 'schur_index': 1}
  • id: 6300064
    {'cdim': 4, 'counter': 72, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4l', 'multiplicity': 4, 'nt': [120, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, 0, 0, -8, -8, -8, 4, 4, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, 8, -8, 8, -8, 8, 8, 4, -8, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, -4, -4, 4, 4, 4, 4, -4, -4, 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, 1, 1, 1, -1, 1, 1, 2, 1, -1, -2, -1, -2, 1, -1, -2, -2, 1, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, -1, 1, -1, -2, -1, 2, 2, -1, 2, -2, 2, -1, -2, -2, 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], 'schur_index': 1}
  • id: 6300065
    {'cdim': 4, 'counter': 73, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4m', 'multiplicity': 4, 'nt': [120, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, 0, 0, -8, -8, -8, 4, 4, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, 8, -8, 8, -8, 8, 8, 4, -8, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -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, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, 4, 4, -4, -4, -4, -4, 4, 4, 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, 1, 1, 1, -1, 1, 1, 2, 1, -1, -2, -1, -2, 1, -1, -2, -2, 1, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 1, -1, 1, 2, 1, -2, -2, 1, -2, 2, -2, 1, 2, 2, -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], 'schur_index': 1}
  • id: 6300066
    {'cdim': 4, 'counter': 74, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4n', 'multiplicity': 4, 'nt': [120, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 0, 0, 16, 16, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -16, -16, 16, -16, 16, -16, 8, -8, 8, 8, -8, 8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 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, -4, 4, -4, 4, 4, -4, -4, 4, 4, 4, 4, 4, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6300051
    {'cdim': 2, 'counter': 60, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.2aj', 'multiplicity': 16, 'nt': [120, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 0, 0, 0, 0, -16, -16, 32, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 16, 16, -16, 16, -16, 16, -32, 32, 16, -32, -16, 16, -16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 4, 4, -8, 4, -8, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, 4, 8, 4, -4, 8, -4, 8, -4, -4, -8, -8, -4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6300067
    {'cdim': 4, 'counter': 75, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4o', 'multiplicity': 8, 'nt': [120, 0], 'qdim': 32, 'qvalues': [32, 32, -32, -32, 0, 0, 0, 0, -16, -16, -16, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -16, -16, 16, 16, 16, 16, -16, 16, -8, 16, -8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -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, 4, 4, 4, 4, 4, -2, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, 4, -2, -2, 2, 2, 2, 2, -4, 2, 2, 4, 2, 4, -2, 2, -4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6300068
    {'cdim': 4, 'counter': 76, 'faithful': False, 'group': '1440.2870', 'group_order': 1440, 'image': None, 'label': '1440.2870.4p', 'multiplicity': 8, 'nt': [240, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 0, 0, 0, 0, -16, -16, -16, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 16, 16, -16, 16, -16, 16, 16, -16, -8, 16, 8, -8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 4, 4, 4, -2, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, 4, 4, -4, -4, -4, -4, -4, 2, 2, -2, 2, -2, -2, -4, -2, 2, -4, 2, -4, 2, 2, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 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[]
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  • id: 13459585
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1440, 'label': '1440.2870.1a', '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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 13459696
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 720, 'label': '1440.2870.1b', '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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 13459742
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 720, 'label': '1440.2870.1c', '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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 13459753
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.b1', 'kernel_order': 720, 'label': '1440.2870.1d', '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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 13459764
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  • id: 13459775
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  • id: 13459786
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  • id: 13459797
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  • id: 13459808
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  • id: 13459586
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 10, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 480, 'label': '1440.2870.1i2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 13459597
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  • id: 13459608
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 12, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.f1.a1', 'kernel_order': 360, 'label': '1440.2870.1j2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 13459619
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  • id: 13459630
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  • id: 13459641
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  • id: 13459652
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  • id: 13459663
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  • id: 13459674
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 18, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.f1.d1', 'kernel_order': 360, 'label': '1440.2870.1m2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 13459685
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 19, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.f1.a1', 'kernel_order': 240, 'label': '1440.2870.1n1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 13459697
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  • id: 13459708
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  • id: 13459719
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 22, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1.a1', 'kernel_order': 240, 'label': '1440.2870.1o2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 13459730
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 23, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.b1', 'kernel_order': 240, 'label': '1440.2870.1p1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 13459736
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 24, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.b1', 'kernel_order': 240, 'label': '1440.2870.1p2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 13459737
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  • id: 13459738
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 26, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.b1', 'kernel_order': 240, 'label': '1440.2870.1q2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 13459739
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 27, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 240, 'label': '1440.2870.1r1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 13459740
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 28, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 240, 'label': '1440.2870.1r2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 13459741
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  • id: 13459743
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  • id: 13459744
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  • id: 13459745
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  • id: 13459746
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  • id: 13459747
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 34, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.h1.a1', 'kernel_order': 120, 'label': '1440.2870.1u2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]]]}
  • id: 13459748
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 35, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.h1.a1', 'kernel_order': 120, 'label': '1440.2870.1u3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]]]}
  • id: 13459749
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 36, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.h1.a1', 'kernel_order': 120, 'label': '1440.2870.1u4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]]]}
  • id: 13459750
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  • id: 13459751
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  • id: 13459752
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  • id: 13459754
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  • id: 13459755
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  • id: 13459756
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 42, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.h1.c1', 'kernel_order': 120, 'label': '1440.2870.1w2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]]]}
  • id: 13459757
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 43, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.h1.c1', 'kernel_order': 120, 'label': '1440.2870.1w3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 5]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]]]}
  • id: 13459758
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 44, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.h1.c1', 'kernel_order': 120, 'label': '1440.2870.1w4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]]]}
  • id: 13459759
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  • id: 13459760
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 46, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.h1.d1', 'kernel_order': 120, 'label': '1440.2870.1x2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]]]}
  • id: 13459761
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 47, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.h1.d1', 'kernel_order': 120, 'label': '1440.2870.1x3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 5]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 4]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]]]}
  • id: 13459762
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1440, 'counter': 48, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.h1.d1', 'kernel_order': 120, 'label': '1440.2870.1x4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 4]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]]]}
  • id: 13459763
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  • id: 13459596
    {'center': '6.d1.a1', 'center_index': 6, 'center_order': 240, 'counter': 109, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '72.27', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1.a1', 'kernel_order': 20, 'label': '1440.2870.2aa1', 'nt': [24, 65], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 0]], [[2, 0]], [[2, 2]], [[-2, 4]], [[2, 2]], [[2, 4]], [[-2, 4]], [[-2, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[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, 4]], [[-2, 2]], [[-2, 4]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[2, 1]], [[-2, 5]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 5]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 5]], [[2, 4]], [[-2, 2]], [[-2, 2]], [[2, 4]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-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, 4]], [[-2, 4]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 2]], [[2, 4]], [[2, 4]], [[2, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[2, 2]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 2]], [[2, 4]], [[-2, 2]], [[-2, 4]], [[2, 2]], [[2, 2]], [[2, 4]], [[2, 2]], [[-2, 2]], [[-2, 4]], [[-2, 4]], [[-2, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 13459598
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  • id: 13459599
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  • id: 13459600
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  • id: 13459601
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  • id: 13459602
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  • id: 13459603
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  • id: 13459604
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  • id: 13459605
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  • id: 13459606
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  • id: 13459607
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  • id: 13459609
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  • id: 13459610
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  • id: 13459611
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 122, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '60.10', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 24, 'label': '1440.2870.2ad2', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 0]], [[2, 5]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], 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  • id: 13459612
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  • id: 13459613
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  • id: 13459614
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 125, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '80.38', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 18, 'label': '1440.2870.2ae1', 'nt': [40, 23], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 3], [-1, 7]], [[1, 4], [1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 4], [-1, 6]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 4], [1, 6]], [[-1, 3], [-1, 7]], [[-1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]]]}
  • id: 13459615
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 126, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '80.38', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 18, 'label': '1440.2870.2ae2', 'nt': [40, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 3], [1, 7]], [[-1, 4], [-1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 4], [1, 6]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 4], [-1, 6]], [[1, 3], [1, 7]], [[1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]]]}
  • id: 13459616
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 127, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '80.38', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 18, 'label': '1440.2870.2ae3', 'nt': [40, 23], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 3], [-1, 7]], [[-1, 4], [-1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 4], [-1, 6]], [[-1, 3], [-1, 7]], [[1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 3], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]]]}
  • id: 13459617
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 128, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '80.38', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 18, 'label': '1440.2870.2ae4', 'nt': [40, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 3], [1, 7]], [[1, 4], [1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 3], [-1, 5], [1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 4], [-1, 6]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 4], [1, 6]], [[1, 3], [1, 7]], [[-1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]]]}
  • id: 13459618
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 129, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '80.38', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 18, 'label': '1440.2870.2ae5', 'nt': [40, 23], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 3], [-1, 5], [1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 3], [-1, 7]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[1, 3], [1, 7]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[-1, 3], [-1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]]]}
  • id: 13459620
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 130, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '80.38', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 18, 'label': '1440.2870.2ae6', 'nt': [40, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 3], [1, 7]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 4], [-1, 6]], [[-1, 3], [-1, 7]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 3], [1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]]]}
  • id: 13459621
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 131, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '80.38', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 18, 'label': '1440.2870.2ae7', 'nt': [40, 23], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 3], [-1, 7]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [1, 7]], [[-1, 4], [-1, 6]], [[1, 3], [1, 7]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 3], [-1, 5], [1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 3], [-1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]]]}
  • id: 13459622
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 132, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '80.38', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 18, 'label': '1440.2870.2ae8', 'nt': [40, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 3], [1, 7]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [1, 5], [-1, 7]], [[1, 4], [1, 6]], [[-1, 3], [-1, 7]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 3], [1, 7]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]]]}
  • id: 13459623
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 133, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.b1', 'kernel_order': 12, 'label': '1440.2870.2af1', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 0]], [[2, 20]], [[-2, 10]], [[-2, 0]], [[2, 0]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[-2, 20]], [[-2, 10]], [[-2, 0]], [[-2, 0]], [[-2, 10]], [[2, 0]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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  • id: 13459624
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 134, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.b1', 'kernel_order': 12, 'label': '1440.2870.2af2', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[2, 20]], [[-2, 0]], [[2, 0]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[2, 20]], [[-2, 0]], [[-2, 0]], [[2, 20]], [[2, 0]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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  • id: 13459625
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  • id: 13459626
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 136, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.b1', 'kernel_order': 12, 'label': '1440.2870.2af4', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[2, 20]], [[-2, 0]], [[2, 0]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[2, 20]], [[-2, 0]], [[-2, 0]], [[2, 20]], [[2, 0]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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  • id: 13459627
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 137, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.b1', 'kernel_order': 12, 'label': '1440.2870.2af5', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 0]], [[2, 20]], [[-2, 10]], [[-2, 0]], [[2, 0]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[-2, 20]], [[-2, 10]], [[-2, 0]], [[-2, 0]], [[-2, 10]], [[2, 0]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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  • id: 13459628
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 138, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.b1', 'kernel_order': 12, 'label': '1440.2870.2af6', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[2, 20]], [[-2, 0]], [[2, 0]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[2, 20]], [[-2, 0]], [[-2, 0]], [[2, 20]], [[2, 0]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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  • id: 13459629
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 139, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.b1', 'kernel_order': 12, 'label': '1440.2870.2af7', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 0]], [[2, 20]], [[-2, 10]], [[-2, 0]], [[2, 0]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[-2, 20]], [[-2, 10]], [[-2, 0]], [[-2, 0]], [[-2, 10]], [[2, 0]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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  • id: 13459631
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 140, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.b1', 'kernel_order': 12, 'label': '1440.2870.2af8', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[2, 20]], [[-2, 0]], [[2, 0]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[2, 20]], [[-2, 0]], [[-2, 0]], [[2, 20]], [[2, 0]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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  • id: 13459632
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  • id: 13459633
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  • id: 13459634
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  • id: 13459635
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 144, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.a1', 'kernel_order': 12, 'label': '1440.2870.2ag4', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[2, 20]], [[2, 0]], [[-2, 0]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[2, 20]], [[-2, 0]], [[-2, 0]], [[2, 20]], [[2, 0]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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  • id: 13459636
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 145, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.a1', 'kernel_order': 12, 'label': '1440.2870.2ag5', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 0]], [[2, 20]], [[-2, 10]], [[2, 0]], [[-2, 0]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[-2, 20]], [[-2, 10]], [[-2, 0]], [[-2, 0]], [[-2, 10]], [[2, 0]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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  • id: 13459637
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 146, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.a1', 'kernel_order': 12, 'label': '1440.2870.2ag6', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[2, 20]], [[2, 0]], [[-2, 0]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[2, 20]], [[-2, 0]], [[-2, 0]], [[2, 20]], [[2, 0]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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  • id: 13459638
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 147, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.a1', 'kernel_order': 12, 'label': '1440.2870.2ag7', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 0]], [[2, 20]], [[-2, 10]], [[2, 0]], [[-2, 0]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[-2, 20]], [[-2, 10]], [[-2, 0]], [[-2, 0]], [[-2, 10]], [[2, 0]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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  • id: 13459639
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 148, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1.a1', 'kernel_order': 12, 'label': '1440.2870.2ag8', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[2, 20]], [[2, 0]], [[-2, 0]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[2, 20]], [[-2, 0]], [[-2, 0]], [[2, 20]], [[2, 0]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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  • id: 13459640
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  • id: 13459642
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  • id: 13459643
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  • id: 13459644
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  • id: 13459645
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  • id: 13459646
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  • id: 13459647
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  • id: 13459648
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  • id: 13459649
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  • id: 13459650
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  • id: 13459651
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  • id: 13459653
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  • id: 13459654
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  • id: 13459655
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  • id: 13459656
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  • id: 13459657
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  • id: 13459658
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  • id: 13459668
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  • id: 13459669
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  • id: 13459670
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 176, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '240.158', 'image_order': 240, 'indicator': 0, 'kernel': '240.d1.a1', 'kernel_order': 6, 'label': '1440.2870.2aj12', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 20]], [[2, 10]], [[2, 20]], [[2, 10]], [[-2, 10]], [[-2, 20]], [[-2, 0]], [[2, 0]], [[-2, 20]], [[-2, 0]], [[2, 20]], [[2, 10]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], 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  • id: 13459671
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  • id: 13459672
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  • id: 13459673
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  • id: 13459675
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  • id: 13459659
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  • id: 13459660
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 167, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '240.158', 'image_order': 240, 'indicator': 0, 'kernel': '240.d1.a1', 'kernel_order': 6, 'label': '1440.2870.2aj3', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 0]], [[2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[2, 20]], [[2, 10]], [[-2, 0]], [[2, 0]], [[2, 10]], [[-2, 0]], [[-2, 10]], [[-2, 20]], [[2, 20]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 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  • id: 13459661
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  • id: 13459662
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  • id: 13459664
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  • id: 13459665
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  • id: 13459666
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  • id: 13459667
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 173, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '240.158', 'image_order': 240, 'indicator': 0, 'kernel': '240.d1.a1', 'kernel_order': 6, 'label': '1440.2870.2aj9', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 0]], [[2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[2, 20]], [[2, 10]], [[-2, 0]], [[2, 0]], [[2, 10]], [[-2, 0]], [[-2, 10]], [[-2, 20]], [[2, 20]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 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  • id: 13459765
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  • id: 13459766
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  • id: 13459767
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  • id: 13459768
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  • id: 13459769
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  • id: 13459770
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 55, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1.a1', 'kernel_order': 144, 'label': '1440.2870.2g1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[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, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[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, -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, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]]]}
  • id: 13459771
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 56, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1.a1', 'kernel_order': 144, 'label': '1440.2870.2g2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 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, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[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, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[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, -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, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 13459772
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  • id: 13459773
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  • id: 13459774
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  • id: 13459776
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  • id: 13459777
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  • id: 13459778
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  • id: 13459779
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  • id: 13459780
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  • id: 13459781
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  • id: 13459782
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  • id: 13459783
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  • id: 13459784
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  • id: 13459785
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  • id: 13459787
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  • id: 13459788
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  • id: 13459789
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  • id: 13459790
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  • id: 13459791
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  • id: 13459792
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  • id: 13459793
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  • id: 13459794
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  • id: 13459795
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  • id: 13459796
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  • id: 13459798
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  • id: 13459799
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  • id: 13459800
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  • id: 13459801
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  • id: 13459802
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  • id: 13459803
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 85, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.b1', 'kernel_order': 36, 'label': '1440.2870.2u1', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]]]}
  • id: 13459804
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 144, 'counter': 86, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.b1', 'kernel_order': 36, 'label': '1440.2870.2u2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]]]}
  • id: 13459805
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  • id: 13459806
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  • id: 13459807
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  • id: 13459809
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  • id: 13459810
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  • id: 13459811
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  • id: 13459812
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  • id: 13459813
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 94, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [5, 0, -5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '40.6', 'image_order': 40, 'indicator': 1, 'kernel': '40.b1.a1', 'kernel_order': 36, 'label': '1440.2870.2w2', 'nt': [20, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[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]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]]]}
  • id: 13459814
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  • id: 13459815
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 96, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [5, 0, -5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '40.6', 'image_order': 40, 'indicator': 1, 'kernel': '40.b1.a1', 'kernel_order': 36, 'label': '1440.2870.2w4', 'nt': [20, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[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]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]]]}
  • id: 13459816
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  • id: 13459817
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 98, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [5, 0, -5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '40.6', 'image_order': 40, 'indicator': 1, 'kernel': '40.b1.b1', 'kernel_order': 36, 'label': '1440.2870.2x2', 'nt': [20, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[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]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 13459818
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  • id: 13459587
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 72, 'counter': 100, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [5, 0, -5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '40.6', 'image_order': 40, 'indicator': 1, 'kernel': '40.b1.b1', 'kernel_order': 36, 'label': '1440.2870.2x4', 'nt': [20, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[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]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]]]}
  • id: 13459588
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  • id: 13459589
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  • id: 13459590
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  • id: 13459591
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  • id: 13459592
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  • id: 13459593
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  • id: 13459594
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  • id: 13459595
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  • id: 13459676
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  • id: 13459677
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  • id: 13459678
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  • id: 13459679
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  • id: 13459680
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  • id: 13459681
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  • id: 13459682
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  • id: 13459683
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  • id: 13459684
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  • id: 13459686
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  • id: 13459687
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  • id: 13459688
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  • id: 13459689
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  • id: 13459690
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  • id: 13459691
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  • id: 13459692
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  • id: 13459693
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  • id: 13459694
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  • id: 13459695
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  • id: 13459698
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 200, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [5, 0, -5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '240.137', 'image_order': 240, 'indicator': 1, 'kernel': '240.a1.a1', 'kernel_order': 6, 'label': '1440.2870.4j2', 'nt': [60, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[4, 0]], [[4, 0]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4], [2, -4]], [[2, 4], [2, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13459699
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 201, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [5, 0, -5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '240.137', 'image_order': 240, 'indicator': 1, 'kernel': '240.a1.a1', 'kernel_order': 6, 'label': '1440.2870.4j3', 'nt': [60, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[4, 0]], [[4, 0]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 2], [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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13459700
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  • id: 13459701
    {'center': '60.a1.a1', 'center_index': 60, 'center_order': 24, 'counter': 203, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '360.151', 'image_order': 360, 'indicator': 0, 'kernel': '360.a1.a1', 'kernel_order': 4, 'label': '1440.2870.4k1', 'nt': [60, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -5]], [[4, 5]], [[-2, 0]], [[-2, 5]], [[-2, -5]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[4, -5]], [[4, 5]], [[4, -5]], [[4, 5]], [[4, 5]], [[4, -5]], [[-2, 0]], [[-2, 0]], [[-2, -5]], [[-2, 0]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], 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  • id: 13459702
    {'center': '60.a1.a1', 'center_index': 60, 'center_order': 24, 'counter': 204, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '360.151', 'image_order': 360, 'indicator': 0, 'kernel': '360.a1.a1', 'kernel_order': 4, 'label': '1440.2870.4k2', 'nt': [60, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 5]], [[4, -5]], [[-2, 0]], [[-2, -5]], [[-2, 5]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[4, 5]], [[4, -5]], [[4, 5]], [[4, -5]], [[4, -5]], [[4, 5]], [[-2, 0]], [[-2, 0]], [[-2, 5]], [[-2, 0]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], 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  • id: 13459703
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  • id: 13459704
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  • id: 13459705
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  • id: 13459706
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  • id: 13459707
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  • id: 13459709
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  • id: 13459710
    {'center': '60.a1.a1', 'center_index': 60, 'center_order': 24, 'counter': 211, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '360.60', 'image_order': 360, 'indicator': 0, 'kernel': '360.b1.a1', 'kernel_order': 4, 'label': '1440.2870.4m1', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -5]], [[4, 5]], [[-2, 0]], [[-2, 5]], [[-2, -5]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-4, -5]], [[-4, 5]], [[-4, -5]], [[4, 5]], [[-4, 5]], [[4, -5]], [[2, 0]], [[2, 0]], [[-2, -5]], [[-2, 0]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 6], [-2, -6]], 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  • id: 13459711
    {'center': '60.a1.a1', 'center_index': 60, 'center_order': 24, 'counter': 212, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '360.60', 'image_order': 360, 'indicator': 0, 'kernel': '360.b1.a1', 'kernel_order': 4, 'label': '1440.2870.4m2', 'nt': [120, 4], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 5]], [[4, -5]], [[-2, 0]], [[-2, -5]], [[-2, 5]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-4, 5]], [[-4, -5]], [[-4, 5]], [[4, -5]], [[-4, -5]], [[4, 5]], [[2, 0]], [[2, 0]], [[-2, 5]], [[-2, 0]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 6], [-2, -6]], 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  • id: 13459712
    {'center': '60.a1.a1', 'center_index': 60, 'center_order': 24, 'counter': 213, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '360.60', 'image_order': 360, 'indicator': 0, 'kernel': '360.b1.a1', 'kernel_order': 4, 'label': '1440.2870.4m3', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -5]], [[4, 5]], [[-2, 0]], [[-2, 5]], [[-2, -5]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-4, -5]], [[-4, 5]], [[-4, -5]], [[4, 5]], [[-4, 5]], [[4, -5]], [[2, 0]], [[2, 0]], [[-2, -5]], [[-2, 0]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], 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  • id: 13459713
    {'center': '60.a1.a1', 'center_index': 60, 'center_order': 24, 'counter': 214, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '360.60', 'image_order': 360, 'indicator': 0, 'kernel': '360.b1.a1', 'kernel_order': 4, 'label': '1440.2870.4m4', 'nt': [120, 4], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 5]], [[4, -5]], [[-2, 0]], [[-2, -5]], [[-2, 5]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-4, 5]], [[-4, -5]], [[-4, 5]], [[4, -5]], [[-4, -5]], [[4, 5]], [[2, 0]], [[2, 0]], [[-2, 5]], [[-2, 0]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], 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  • id: 13459714
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 215, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [5, 0, -5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '240.130', 'image_order': 240, 'indicator': 1, 'kernel': '240.c1.a1', 'kernel_order': 6, 'label': '1440.2870.4n1', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4], [2, -4]], [[2, 4], [2, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13459715
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 216, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [5, 0, -5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '240.130', 'image_order': 240, 'indicator': 1, 'kernel': '240.c1.a1', 'kernel_order': 6, 'label': '1440.2870.4n2', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4], [2, -4]], [[2, 4], [2, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13459716
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 217, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [5, 0, -5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '240.130', 'image_order': 240, 'indicator': 1, 'kernel': '240.c1.a1', 'kernel_order': 6, 'label': '1440.2870.4n3', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 2], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13459717
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 218, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [5, 0, -5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '240.130', 'image_order': 240, 'indicator': 1, 'kernel': '240.c1.a1', 'kernel_order': 6, 'label': '1440.2870.4n4', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 2], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13459718
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 219, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.601', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.2870.4o1', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 10]], [[4, 20]], [[-2, 0]], [[-2, 20]], [[2, 10]], [[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, -6]], [[2, 12], [2, -12]], [[-4, 10]], [[4, 20]], [[4, 10]], [[-4, 20]], [[-4, 20]], [[4, 10]], [[-2, 0]], [[2, 0]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[-2, 20]], [[2, 20]], [[2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, 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  • id: 13459720
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 220, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.601', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.2870.4o2', 'nt': [120, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 20]], [[-4, 10]], [[-2, 0]], [[2, 10]], [[-2, 20]], [[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, -6]], [[2, 12], [2, -12]], [[4, 20]], [[-4, 10]], [[-4, 20]], [[4, 10]], [[4, 10]], [[-4, 20]], [[-2, 0]], [[2, 0]], [[2, 20]], [[2, 0]], [[2, 20]], [[2, 10]], [[-2, 10]], [[-2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, 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  • id: 13459721
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 221, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.601', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.2870.4o3', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 10]], [[4, 20]], [[-2, 0]], [[-2, 20]], [[2, 10]], [[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, -6]], [[2, 12], [2, -12]], [[-4, 10]], [[4, 20]], [[4, 10]], [[-4, 20]], [[-4, 20]], [[4, 10]], [[-2, 0]], [[2, 0]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[-2, 20]], [[2, 20]], [[2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, 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  • id: 13459722
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 222, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.601', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.2870.4o4', 'nt': [120, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 20]], [[-4, 10]], [[-2, 0]], [[2, 10]], [[-2, 20]], [[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, -6]], [[2, 12], [2, -12]], [[4, 20]], [[-4, 10]], [[-4, 20]], [[4, 10]], [[4, 10]], [[-4, 20]], [[-2, 0]], [[2, 0]], [[2, 20]], [[2, 0]], [[2, 20]], [[2, 10]], [[-2, 10]], [[-2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, 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  • id: 13459723
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 223, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.601', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.2870.4o5', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 10]], [[4, 20]], [[-2, 0]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[-4, 10]], [[4, 20]], [[4, 10]], [[-4, 20]], [[-4, 20]], [[4, 10]], [[-2, 0]], [[2, 0]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[-2, 20]], [[2, 20]], [[2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], 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  • id: 13459724
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 224, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.601', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.2870.4o6', 'nt': [120, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 20]], [[-4, 10]], [[-2, 0]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[4, 20]], [[-4, 10]], [[-4, 20]], [[4, 10]], [[4, 10]], [[-4, 20]], [[-2, 0]], [[2, 0]], [[2, 20]], [[2, 0]], [[2, 20]], [[2, 10]], [[-2, 10]], [[-2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], 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  • id: 13459725
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 225, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.601', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.2870.4o7', 'nt': [120, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 10]], [[4, 20]], [[-2, 0]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[-4, 10]], [[4, 20]], [[4, 10]], [[-4, 20]], [[-4, 20]], [[4, 10]], [[-2, 0]], [[2, 0]], [[-2, 10]], [[2, 0]], [[-2, 10]], [[-2, 20]], [[2, 20]], [[2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], 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  • id: 13459726
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 226, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.601', 'image_order': 720, 'indicator': 0, 'kernel': '720.a1.a1', 'kernel_order': 2, 'label': '1440.2870.4o8', 'nt': [120, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 20]], [[-4, 10]], [[-2, 0]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[4, 20]], [[-4, 10]], [[-4, 20]], [[4, 10]], [[4, 10]], [[-4, 20]], [[-2, 0]], [[2, 0]], [[2, 20]], [[2, 0]], [[2, 20]], [[2, 10]], [[-2, 10]], [[-2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], 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  • id: 13459727
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 227, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.594', 'image_order': 720, 'indicator': 0, 'kernel': '720.b1.a1', 'kernel_order': 2, 'label': '1440.2870.4p1', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 10]], [[4, 20]], [[-2, 0]], [[-2, 20]], [[2, 10]], [[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, -6]], [[2, 12], [2, -12]], [[4, 10]], [[-4, 20]], [[-4, 10]], [[-4, 20]], [[4, 20]], [[4, 10]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 0]], [[2, 10]], [[2, 20]], [[-2, 20]], [[-2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], 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  • id: 13459728
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 228, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.594', 'image_order': 720, 'indicator': 0, 'kernel': '720.b1.a1', 'kernel_order': 2, 'label': '1440.2870.4p2', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 20]], [[-4, 10]], [[-2, 0]], [[2, 10]], [[-2, 20]], [[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, -6]], [[2, 12], [2, -12]], [[-4, 20]], [[4, 10]], [[4, 20]], [[4, 10]], [[-4, 10]], [[-4, 20]], [[2, 0]], [[-2, 0]], [[2, 20]], [[2, 0]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], 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  • id: 13459729
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 229, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.594', 'image_order': 720, 'indicator': 0, 'kernel': '720.b1.a1', 'kernel_order': 2, 'label': '1440.2870.4p3', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 10]], [[4, 20]], [[-2, 0]], [[-2, 20]], [[2, 10]], [[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, -6]], [[2, 12], [2, -12]], [[4, 10]], [[-4, 20]], [[-4, 10]], [[-4, 20]], [[4, 20]], [[4, 10]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 0]], [[2, 10]], [[2, 20]], [[-2, 20]], [[-2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], 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  • id: 13459731
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 230, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.594', 'image_order': 720, 'indicator': 0, 'kernel': '720.b1.a1', 'kernel_order': 2, 'label': '1440.2870.4p4', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 20]], [[-4, 10]], [[-2, 0]], [[2, 10]], [[-2, 20]], [[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, -6]], [[2, 12], [2, -12]], [[-4, 20]], [[4, 10]], [[4, 20]], [[4, 10]], [[-4, 10]], [[-4, 20]], [[2, 0]], [[-2, 0]], [[2, 20]], [[2, 0]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], 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  • id: 13459732
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 231, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.594', 'image_order': 720, 'indicator': 0, 'kernel': '720.b1.a1', 'kernel_order': 2, 'label': '1440.2870.4p5', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 10]], [[4, 20]], [[-2, 0]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[4, 10]], [[-4, 20]], [[-4, 10]], [[-4, 20]], [[4, 20]], [[4, 10]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 0]], [[2, 10]], [[2, 20]], [[-2, 20]], [[-2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, 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  • id: 13459733
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 232, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.594', 'image_order': 720, 'indicator': 0, 'kernel': '720.b1.a1', 'kernel_order': 2, 'label': '1440.2870.4p6', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 20]], [[-4, 10]], [[-2, 0]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[-4, 20]], [[4, 10]], [[4, 20]], [[4, 10]], [[-4, 10]], [[-4, 20]], [[2, 0]], [[-2, 0]], [[2, 20]], [[2, 0]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, 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  • id: 13459734
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[[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, 8]], [[2, 2], [-2, 8]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 14]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [-2, 10], [2, 14]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [-2, 10], [2, 14]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [2, 10], [-2, 14]], [[2, 0], [2, 2], [-2, 8], [-2, 10]], [[-2, 0], [-2, 2], [2, 8], [2, 10]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 14]], [[2, 2], [-2, 8]], [[-2, 0], [-2, 2], [2, 8], [2, 10]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 12], [1, -12]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 12], [1, -12]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 6], [-1, -6]], [[-2, 7], [-2, 13]], [[2, 1], [-2, 5], [-2, 7], [-2, 9], [2, 11], [2, 13], [2, 15]], [[2, 1], [-2, 5], [-2, 7], [-2, 9], [2, 11], [2, 13], [2, 15]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [-2, 11], [-2, 13], [2, 15]], [[2, 7], [2, 13]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [2, 11], [2, 13], [-2, 15]], [[-4, 1], [2, 5], [2, 7], [-2, 13], [-2, 15]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [-2, 11], [-2, 13], [2, 15]], [[4, 1], [-2, 5], [-2, 7], [2, 13], [2, 15]], [[-4, 1], [2, 5], [2, 7], [-2, 13], [-2, 15]], [[-2, 1], [2, 5], [2, 7], [2, 9], [-2, 11], [-2, 13], [-2, 15]], [[2, 7], [2, 13]], [[4, 1], [-2, 5], [-2, 7], [2, 13], [2, 15]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [2, 11], [2, 13], [-2, 15]], [[-2, 1], [2, 5], [2, 7], [2, 9], [-2, 11], [-2, 13], [-2, 15]], [[-2, 7], [-2, 13]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[1, 9], [1, -9]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13]], [[1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 7], [1, 13]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 13459735
    {'center': '120.a1.a1', 'center_index': 120, 'center_order': 12, 'counter': 234, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '1440.2870', 'group_counter': 2870, 'group_order': 1440, 'image': None, 'image_isoclass': '720.594', 'image_order': 720, 'indicator': 0, 'kernel': '720.b1.a1', 'kernel_order': 2, 'label': '1440.2870.4p8', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 20]], [[-4, 10]], [[-2, 0]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[-4, 20]], [[4, 10]], [[4, 20]], [[4, 10]], [[-4, 10]], [[-4, 20]], [[2, 0]], [[-2, 0]], [[2, 20]], [[2, 0]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 6], [-2, -6]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 14]], [[-2, 2], [2, 8]], [[2, 0], [2, 2], [-2, 8], [-2, 10]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [2, 10], [-2, 14]], [[1, 6], [1, -6]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 12], [-1, -12]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [2, 14]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 14]], [[-2, 2], [2, 8]], [[-2, 0], [-2, 2], [2, 8], [2, 10]], [[-2, 0], [-2, 2], [2, 8], [2, 10]], [[2, 0], [2, 2], [-2, 8], [-2, 10]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [2, 10], [-2, 14]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [-2, 10], [2, 14]], [[2, 2], [-2, 8]], [[-2, 0], [-2, 2], [2, 4], [2, 6], [2, 8], [-2, 14]], [[2, 0], [2, 2], [-2, 4], [-2, 6], [-2, 8], [-2, 10], [2, 14]], [[2, 2], [-2, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 12], [1, -12]], [[1, 2], [-1, 8]], [[-1, 2], [1, 8]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 12], [1, -12]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 2], [1, 8]], [[-1, 6], [-1, -6]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [2, 11], [2, 13], [-2, 15]], [[-4, 1], [2, 5], [2, 7], [-2, 13], [-2, 15]], [[-4, 1], [2, 5], [2, 7], [-2, 13], [-2, 15]], [[2, 7], [2, 13]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [-2, 11], [-2, 13], [2, 15]], [[-2, 7], [-2, 13]], [[2, 1], [-2, 5], [-2, 7], [-2, 9], [2, 11], [2, 13], [2, 15]], [[2, 7], [2, 13]], [[-2, 1], [2, 5], [2, 7], [2, 9], [-2, 11], [-2, 13], [-2, 15]], [[2, 1], [-2, 5], [-2, 7], [-2, 9], [2, 11], [2, 13], [2, 15]], [[4, 1], [-2, 5], [-2, 7], [2, 13], [2, 15]], [[2, 1], [4, 3], [-2, 7], [-2, 9], [-2, 11], [-2, 13], [2, 15]], [[-2, 1], [2, 5], [2, 7], [2, 9], [-2, 11], [-2, 13], [-2, 15]], [[-2, 7], [-2, 13]], [[4, 1], [-2, 5], [-2, 7], [2, 13], [2, 15]], [[-2, 1], [-4, 3], [2, 7], [2, 9], [2, 11], [2, 13], [-2, 15]], [[-1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 9], [1, -9]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 7], [1, 13]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 7], [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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 75245996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 1440, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '1440.2870.1.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': '1440.2870', 'subgroup_hash': 2870, 'subgroup_order': 1440, 'subgroup_tex': 'D_{60}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246107
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 720, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.2.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': '720.608', 'subgroup_hash': 608, 'subgroup_order': 720, 'subgroup_tex': 'D_{30}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246218
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 720, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.2.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': '720.608', 'subgroup_hash': 608, 'subgroup_order': 720, 'subgroup_tex': 'D_{30}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 720, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.2.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': '720.216', 'subgroup_hash': 216, 'subgroup_order': 720, 'subgroup_tex': 'D_{30}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 720, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.2.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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '720.216', 'subgroup_hash': 216, 'subgroup_order': 720, 'subgroup_tex': 'D_{30}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 720, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.2.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': False, 'standard_generators': False, 'stem': False, 'subgroup': '720.731', 'subgroup_hash': 731, 'subgroup_order': 720, 'subgroup_tex': 'C_6\\times D_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246365
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 720, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '720.326', 'subgroup_hash': 326, 'subgroup_order': 720, 'subgroup_tex': 'C_{12}:C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': True, 'core_order': 720, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '720.312', 'subgroup_hash': 312, 'subgroup_order': 720, 'subgroup_tex': 'C_{60}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': True, 'core_order': 480, 'counter': 9, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1440.2870.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.504', 'subgroup_hash': 504, 'subgroup_order': 480, 'subgroup_tex': 'D_{60}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75245997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 240, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.3.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.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': 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': '480.666', 'subgroup_hash': 666, 'subgroup_order': 480, 'subgroup_tex': 'C_{12}\\times D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246008
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 360, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '360.159', 'subgroup_hash': 159, 'subgroup_order': 360, 'subgroup_tex': 'C_6\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246019
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 360, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.4.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '360.159', 'subgroup_hash': 159, 'subgroup_order': 360, 'subgroup_tex': 'C_6\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246030
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 360, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '360.115', 'subgroup_hash': 115, 'subgroup_order': 360, 'subgroup_tex': 'C_6\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246041
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 360, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.4.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': '360.98', 'subgroup_hash': 98, 'subgroup_order': 360, 'subgroup_tex': 'C_6:C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246052
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 360, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '360.98', 'subgroup_hash': 98, 'subgroup_order': 360, 'subgroup_tex': 'C_6:C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246063
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 360, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '360.93', 'subgroup_hash': 93, 'subgroup_order': 360, 'subgroup_tex': 'C_{30}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246074
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 360, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.4.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', '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': '360.93', 'subgroup_hash': 93, 'subgroup_order': 360, 'subgroup_tex': 'C_{30}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 360, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '360.102', 'subgroup_hash': 102, 'subgroup_order': 360, 'subgroup_tex': 'C_3\\times D_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 360, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.4.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '360.102', 'subgroup_hash': 102, 'subgroup_order': 360, 'subgroup_tex': 'C_3\\times D_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 360, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.4.f1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '360.102', 'subgroup_hash': 102, 'subgroup_order': 360, 'subgroup_tex': 'C_3\\times D_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 360, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.4.f1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '360.102', 'subgroup_hash': 102, 'subgroup_order': 360, 'subgroup_tex': 'C_3\\times D_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246130
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 180, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '360.60', 'subgroup_hash': 60, 'subgroup_order': 360, 'subgroup_tex': 'D_{15}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246141
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 180, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.4.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '360.60', 'subgroup_hash': 60, 'subgroup_order': 360, 'subgroup_tex': 'D_{15}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246152
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 180, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.4.g1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.g1.c1', 'outer_equivalence': False, 'perfect': False, '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': '360.60', 'subgroup_hash': 60, 'subgroup_order': 360, 'subgroup_tex': 'D_{15}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246163
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 180, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.4.g1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.g1.d1', 'outer_equivalence': False, 'perfect': False, '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': '360.60', 'subgroup_hash': 60, 'subgroup_order': 360, 'subgroup_tex': 'D_{15}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 144, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1440.2870.5.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.664', 'subgroup_hash': 664, 'subgroup_order': 288, 'subgroup_tex': 'D_{12}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246185
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 240, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.144', 'subgroup_hash': 144, 'subgroup_order': 240, 'subgroup_tex': 'D_{30}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246196
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 240, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.6.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.144', 'subgroup_hash': 144, 'subgroup_order': 240, 'subgroup_tex': 'D_{30}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 240, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.28', 'subgroup_hash': 28, 'subgroup_order': 240, 'subgroup_tex': 'D_{30}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 240, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.6.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.28', 'subgroup_hash': 28, 'subgroup_order': 240, 'subgroup_tex': 'D_{30}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 240, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.177', 'subgroup_hash': 177, 'subgroup_order': 240, 'subgroup_tex': 'C_2\\times D_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 72, 'characteristic': True, 'core_order': 240, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', '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': '240.42', 'subgroup_hash': 42, 'subgroup_order': 240, 'subgroup_tex': 'C_{20}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246252
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 240, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.56', 'subgroup_hash': 56, 'subgroup_order': 240, 'subgroup_tex': 'C_{12}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': True, 'core_order': 240, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.42', 'subgroup_hash': 42, 'subgroup_order': 240, 'subgroup_tex': 'C_{20}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246274
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.156', 'subgroup_hash': 156, 'subgroup_order': 240, 'subgroup_tex': 'C_{12}\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246285
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.6.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 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': '240.156', 'subgroup_hash': 156, 'subgroup_order': 240, 'subgroup_tex': 'C_{12}\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.6.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': '240.43', 'subgroup_hash': 43, 'subgroup_order': 240, 'subgroup_tex': 'D_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.6.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': '240.43', 'subgroup_hash': 43, 'subgroup_order': 240, 'subgroup_tex': 'D_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.6.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 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': '240.157', 'subgroup_hash': 157, 'subgroup_order': 240, 'subgroup_tex': 'C_6\\times D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246330
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 120, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.6.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 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': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 80, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.6.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 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': '240.42', 'subgroup_hash': 42, 'subgroup_order': 240, 'subgroup_tex': 'C_{20}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246335
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 180, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '180.37', 'subgroup_hash': 37, 'subgroup_order': 180, 'subgroup_tex': 'C_6\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246336
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 180, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 75246337
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 180, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.8.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 75246338
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 180, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '180.34', 'subgroup_hash': 34, 'subgroup_order': 180, 'subgroup_tex': 'C_3\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246339
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 180, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.8.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '180.34', 'subgroup_hash': 34, 'subgroup_order': 180, 'subgroup_tex': 'C_3\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246340
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 180, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.8.c1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '180.34', 'subgroup_hash': 34, 'subgroup_order': 180, 'subgroup_tex': 'C_3\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246341
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 180, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.8.c1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '180.34', 'subgroup_hash': 34, 'subgroup_order': 180, 'subgroup_tex': 'C_3\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246342
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 180, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, '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: 75246344
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 180, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 75246345
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 90, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '180.34', 'subgroup_hash': 34, 'subgroup_order': 180, 'subgroup_tex': 'C_3\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246346
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 90, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '180.34', 'subgroup_hash': 34, 'subgroup_order': 180, 'subgroup_tex': 'C_3\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246347
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 90, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '180.13', 'subgroup_hash': 13, 'subgroup_order': 180, 'subgroup_tex': 'C_{15}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246348
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 90, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.8.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '180.13', 'subgroup_hash': 13, 'subgroup_order': 180, 'subgroup_tex': 'C_{15}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246349
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 90, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '180.34', 'subgroup_hash': 34, 'subgroup_order': 180, 'subgroup_tex': 'C_3\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246350
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 90, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.8.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '180.34', 'subgroup_hash': 34, 'subgroup_order': 180, 'subgroup_tex': 'C_3\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246351
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 90, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '180.14', 'subgroup_hash': 14, 'subgroup_order': 180, 'subgroup_tex': 'C_3:C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 80, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '1440.2870.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '160.94', 'subgroup_hash': 94, 'subgroup_order': 160, 'subgroup_tex': 'C_4\\times D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246353
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 144, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.76', 'subgroup_hash': 76, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246355
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 72, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.159', 'subgroup_hash': 159, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246356
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 72, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.10.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.159', 'subgroup_hash': 159, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 72, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.10.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.79', 'subgroup_hash': 79, 'subgroup_order': 144, 'subgroup_tex': 'D_6:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 72, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.10.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.79', 'subgroup_hash': 79, 'subgroup_order': 144, 'subgroup_tex': 'D_6:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 72, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.10.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.160', 'subgroup_hash': 160, 'subgroup_order': 144, 'subgroup_tex': 'C_6\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 72, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.10.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.103', 'subgroup_hash': 103, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246361
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 120, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.46', 'subgroup_hash': 46, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246362
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 120, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.46', 'subgroup_hash': 46, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246363
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 120, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246364
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 120, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246366
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 120, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246367
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 120, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246368
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 120, 'counter': 72, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246369
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 120, 'counter': 73, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246370
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 120, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246371
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 120, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 120, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.28', 'subgroup_hash': 28, 'subgroup_order': 120, 'subgroup_tex': 'D_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 120, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.28', 'subgroup_hash': 28, 'subgroup_order': 120, 'subgroup_tex': 'D_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 120, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.h1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.28', 'subgroup_hash': 28, 'subgroup_order': 120, 'subgroup_tex': 'D_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 120, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.12.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.h1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.28', 'subgroup_hash': 28, 'subgroup_order': 120, 'subgroup_tex': 'D_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246377
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '120.44', 'subgroup_hash': 44, 'subgroup_order': 120, 'subgroup_tex': 'C_6\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246378
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '120.44', 'subgroup_hash': 44, 'subgroup_order': 120, 'subgroup_tex': 'C_6\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246379
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 60, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246380
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 60, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246381
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 40, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246382
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 40, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246383
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 40, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.m1.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': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246384
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '120.17', 'subgroup_hash': 17, 'subgroup_order': 120, 'subgroup_tex': 'D_5\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246385
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.n1.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': '120.17', 'subgroup_hash': 17, 'subgroup_order': 120, 'subgroup_tex': 'D_5\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246386
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.n1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.n1.c1', 'outer_equivalence': False, 'perfect': False, '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': '120.17', 'subgroup_hash': 17, 'subgroup_order': 120, 'subgroup_tex': 'D_5\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246388
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.n1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.n1.d1', 'outer_equivalence': False, 'perfect': False, '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': '120.17', 'subgroup_hash': 17, 'subgroup_order': 120, 'subgroup_tex': 'D_5\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246389
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 60, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1.a1', 'outer_equivalence': False, 'perfect': False, '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': '120.10', 'subgroup_hash': 10, 'subgroup_order': 120, 'subgroup_tex': 'D_{15}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246390
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 60, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1.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': '120.10', 'subgroup_hash': 10, 'subgroup_order': 120, 'subgroup_tex': 'D_{15}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246391
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 60, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.o1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1.c1', 'outer_equivalence': False, 'perfect': False, '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': '120.10', 'subgroup_hash': 10, 'subgroup_order': 120, 'subgroup_tex': 'D_{15}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246392
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 60, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.o1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1.d1', 'outer_equivalence': False, 'perfect': False, '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': '120.10', 'subgroup_hash': 10, 'subgroup_order': 120, 'subgroup_tex': 'D_{15}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.p1.a1', 'outer_equivalence': False, 'perfect': False, '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': '120.18', 'subgroup_hash': 18, 'subgroup_order': 120, 'subgroup_tex': 'C_3\\times D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.p1.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': '120.18', 'subgroup_hash': 18, 'subgroup_order': 120, 'subgroup_tex': 'C_3\\times D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.p1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.p1.c1', 'outer_equivalence': False, 'perfect': False, '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': '120.18', 'subgroup_hash': 18, 'subgroup_order': 120, 'subgroup_tex': 'C_3\\times D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.12.p1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.p1.d1', 'outer_equivalence': False, 'perfect': False, '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': '120.18', 'subgroup_hash': 18, 'subgroup_order': 120, 'subgroup_tex': 'C_3\\times D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.15.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.165', 'subgroup_hash': 165, 'subgroup_order': 96, 'subgroup_tex': 'D_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75245998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 48, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.15.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.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': 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': '96.100', 'subgroup_hash': 100, 'subgroup_order': 96, 'subgroup_tex': 'D_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75245999
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 90, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '90.10', 'subgroup_hash': 10, 'subgroup_order': 90, 'subgroup_tex': 'C_3\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246000
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 90, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], '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: 75246001
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 90, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], '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: 75246002
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 45, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '90.7', 'subgroup_hash': 7, 'subgroup_order': 90, 'subgroup_tex': 'C_3\\times D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75246003
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 45, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.16.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '90.7', 'subgroup_hash': 7, 'subgroup_order': 90, 'subgroup_tex': 'C_3\\times D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75246004
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 45, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.16.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.d1.c1', 'outer_equivalence': False, 'perfect': False, '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': '90.7', 'subgroup_hash': 7, 'subgroup_order': 90, 'subgroup_tex': 'C_3\\times D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75246005
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 45, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.16.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.d1.d1', 'outer_equivalence': False, 'perfect': False, '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': '90.7', 'subgroup_hash': 7, 'subgroup_order': 90, 'subgroup_tex': 'C_3\\times D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75246006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 72, 'characteristic': True, 'core_order': 80, 'counter': 108, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.13', 'subgroup_hash': 13, 'subgroup_order': 80, 'subgroup_tex': 'C_{20}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246007
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.18.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '80.36', 'subgroup_hash': 36, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246009
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.18.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '80.36', 'subgroup_hash': 36, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.18.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '80.14', 'subgroup_hash': 14, 'subgroup_order': 80, 'subgroup_tex': 'D_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.18.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '80.14', 'subgroup_hash': 14, 'subgroup_order': 80, 'subgroup_tex': 'D_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.18.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '80.37', 'subgroup_hash': 37, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246013
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 40, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.18.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246014
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 72, 'counter': 115, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246015
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': True, 'core_order': 72, 'counter': 116, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.29', 'subgroup_hash': 29, 'subgroup_order': 72, 'subgroup_tex': 'C_6:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246016
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 72, 'counter': 117, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.20.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': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.29', 'subgroup_hash': 29, 'subgroup_order': 72, 'subgroup_tex': 'C_6:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246017
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 36, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.48', 'subgroup_hash': 48, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246018
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 36, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.48', 'subgroup_hash': 48, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246020
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 36, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246021
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 36, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246022
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 36, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '72.27', 'subgroup_hash': 27, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246023
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 36, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '72.27', 'subgroup_hash': 27, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246024
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 36, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.f1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.f1.c1', 'outer_equivalence': False, 'perfect': False, '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': '72.27', 'subgroup_hash': 27, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246025
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 36, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.f1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.f1.d1', 'outer_equivalence': False, 'perfect': False, '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': '72.27', 'subgroup_hash': 27, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 36, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '72.28', 'subgroup_hash': 28, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 36, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '72.28', 'subgroup_hash': 28, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 36, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.g1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.g1.c1', 'outer_equivalence': False, 'perfect': False, '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': '72.28', 'subgroup_hash': 28, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 36, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.20.g1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.g1.d1', 'outer_equivalence': False, 'perfect': False, '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': '72.28', 'subgroup_hash': 28, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246031
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 60, 'counter': 130, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.24.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': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246032
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 60, 'counter': 131, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246033
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 60, 'counter': 132, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 75246034
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 60, 'counter': 133, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.24.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 75246035
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 60, 'counter': 134, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.12', 'subgroup_hash': 12, 'subgroup_order': 60, 'subgroup_tex': 'D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246036
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 60, 'counter': 135, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.24.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.12', 'subgroup_hash': 12, 'subgroup_order': 60, 'subgroup_tex': 'D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246037
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 60, 'counter': 136, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.24.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.12', 'subgroup_hash': 12, 'subgroup_order': 60, 'subgroup_tex': 'D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246038
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 60, 'counter': 137, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.24.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.12', 'subgroup_hash': 12, 'subgroup_order': 60, 'subgroup_tex': 'D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246039
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 60, 'counter': 138, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246040
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 60, 'counter': 139, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.24.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246042
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 60, 'counter': 140, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246043
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 60, 'counter': 141, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.24.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246044
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 20, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.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': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246045
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246046
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246047
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 30, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '60.12', 'subgroup_hash': 12, 'subgroup_order': 60, 'subgroup_tex': 'D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246048
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 30, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.12', 'subgroup_hash': 12, 'subgroup_order': 60, 'subgroup_tex': 'D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246049
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 30, 'counter': 147, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 75246050
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 30, 'counter': 148, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.24.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 75246051
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 30, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246053
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 30, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 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': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246054
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 30, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246055
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 30, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 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': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246056
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 10, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 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': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246057
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 10, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.m1.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': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246058
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 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': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246059
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.n1.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': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246060
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 30, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.o1.a1', 'outer_equivalence': False, 'perfect': False, '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': '60.12', 'subgroup_hash': 12, 'subgroup_order': 60, 'subgroup_tex': 'D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246061
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 30, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.o1.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': '60.12', 'subgroup_hash': 12, 'subgroup_order': 60, 'subgroup_tex': 'D_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246062
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 30, 'counter': 159, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.24.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p1.a1', 'outer_equivalence': False, 'perfect': False, '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: 75246064
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 30, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.q1.a1', 'outer_equivalence': False, 'perfect': False, '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: 75246065
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.r1.a1', 'outer_equivalence': False, 'perfect': False, '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': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246066
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.r1.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': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246067
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.r1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.r1.c1', 'outer_equivalence': False, 'perfect': False, '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': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246068
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.24.r1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.r1.d1', 'outer_equivalence': False, 'perfect': False, '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': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246069
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 20, 'counter': 165, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.24.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.s1.a1', 'outer_equivalence': False, 'perfect': False, '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: 75246070
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 20, 'counter': 166, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.24.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.s1.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: 75246071
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 48, 'counter': 167, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.30.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': '30.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.11', 'subgroup_hash': 11, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246072
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246073
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246078
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '48.35', 'subgroup_hash': 35, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246079
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '48.35', 'subgroup_hash': 35, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '48.36', 'subgroup_hash': 36, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246083
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 24, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 24, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 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': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 24, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 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': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 8, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.30.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 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': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246088
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 45, 'counter': 182, 'cyclic': False, 'direct': False, 'hall': 15, 'label': '1440.2870.32.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': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', '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: 75246089
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 40, 'counter': 183, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.36.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': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246090
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 40, 'counter': 184, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.36.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246091
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 40, 'counter': 185, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.36.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246092
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246093
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246094
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 20, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246095
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 20, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.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: 75246097
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246098
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246099
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.f1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.f1.c1', 'outer_equivalence': False, 'perfect': False, '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': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246100
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.f1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.f1.d1', 'outer_equivalence': False, 'perfect': False, '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': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '40.6', 'subgroup_hash': 6, 'subgroup_order': 40, 'subgroup_tex': 'D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '40.6', 'subgroup_hash': 6, 'subgroup_order': 40, 'subgroup_tex': 'D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.g1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.g1.c1', 'outer_equivalence': False, 'perfect': False, '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': '40.6', 'subgroup_hash': 6, 'subgroup_order': 40, 'subgroup_tex': 'D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.36.g1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.g1.d1', 'outer_equivalence': False, 'perfect': False, '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': '40.6', 'subgroup_hash': 6, 'subgroup_order': 40, 'subgroup_tex': 'D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246105
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 36, 'counter': 198, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 75246106
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': False, 'core_order': 36, 'counter': 199, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.40.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 75246109
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': False, 'core_order': 36, 'counter': 200, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.40.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 75246110
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 36, 'counter': 201, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.40.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 75246111
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 36, 'counter': 202, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.40.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 75246112
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 18, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.40.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: 75246113
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 18, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.40.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: 75246114
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 18, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.40.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246115
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 18, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.40.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246116
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 18, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.40.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75246117
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 18, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.40.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.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': 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: 75246118
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 18, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.40.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246120
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 18, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.40.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75246121
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 18, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.40.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.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': 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: 75246122
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 18, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.40.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.h1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246123
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 18, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.40.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.h1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1440.2870.45.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': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 2}
  • id: 75246125
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 30, 'counter': 215, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.48.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: 75246126
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 30, 'counter': 216, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.45', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\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: 75246127
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 30, 'counter': 217, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.41', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 41, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246128
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 30, 'counter': 218, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.47', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 47, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_6', '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: 75246129
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 30, 'counter': 219, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', '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: 75246131
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 30, 'counter': 220, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', '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: 75246132
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 10, 'counter': 221, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 75246133
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 10, 'counter': 222, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.48.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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: 75246134
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 10, 'counter': 223, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.48.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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: 75246135
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 15, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.48.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 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': '30.2', 'subgroup_hash': 2, 'subgroup_order': 30, 'subgroup_tex': 'C_3\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246136
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 15, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.48.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '30.2', 'subgroup_hash': 2, 'subgroup_order': 30, 'subgroup_tex': 'C_3\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246137
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 15, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.48.j1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.j1.c1', 'outer_equivalence': False, 'perfect': False, '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': '30.2', 'subgroup_hash': 2, 'subgroup_order': 30, 'subgroup_tex': 'C_3\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246138
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 15, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.48.j1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.j1.d1', 'outer_equivalence': False, 'perfect': False, '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': '30.2', 'subgroup_hash': 2, 'subgroup_order': 30, 'subgroup_tex': 'C_3\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246139
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 15, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.48.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 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': '30.3', 'subgroup_hash': 3, 'subgroup_order': 30, 'subgroup_tex': 'D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75246140
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 15, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.48.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 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': '30.3', 'subgroup_hash': 3, 'subgroup_order': 30, 'subgroup_tex': 'D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75246142
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 15, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.48.k1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.k1.c1', 'outer_equivalence': False, 'perfect': False, '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': '30.3', 'subgroup_hash': 3, 'subgroup_order': 30, 'subgroup_tex': 'D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75246143
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 15, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.48.k1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.k1.d1', 'outer_equivalence': False, 'perfect': False, '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': '30.3', 'subgroup_hash': 3, 'subgroup_order': 30, 'subgroup_tex': 'D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75246144
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 24, 'counter': 232, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.60.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_5', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246145
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 24, 'counter': 233, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.60.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246146
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': True, 'core_order': 24, 'counter': 234, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.60.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '60.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246147
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 24, 'counter': 235, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.60.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '60.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246148
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246149
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246150
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246151
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246153
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246154
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 12, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246155
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 12, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246156
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 12, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246157
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 12, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246158
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 12, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246159
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 8, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246160
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 4, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246161
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 4, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246162
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246164
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.m1.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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246165
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.m1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.m1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246166
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.m1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.m1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246167
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75246168
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.n1.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: 75246169
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.n1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.n1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246170
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.n1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.n1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.o1.a1', 'outer_equivalence': False, 'perfect': False, '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: 75246172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.o1.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: 75246173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.o1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.o1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.o1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.o1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 12, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.p1.a1', 'outer_equivalence': False, 'perfect': False, '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: 75246177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 12, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.p1.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: 75246178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 12, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.p1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.p1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 12, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.60.p1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.p1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246180
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 20, 'counter': 265, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.72.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': '72.48', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246181
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 20, 'counter': 266, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.72.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.27', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246182
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 20, 'counter': 267, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.72.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.27', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 75246183
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.72.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246184
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.72.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 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': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246186
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 10, 'counter': 270, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.72.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: 75246187
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 10, 'counter': 271, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.72.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.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': 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: 75246188
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 10, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.72.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246189
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 10, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.72.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246190
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.72.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 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': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246191
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.72.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 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': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246192
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 10, 'counter': 276, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.72.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.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': 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: 75246193
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.72.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 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': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246194
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.72.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 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': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246195
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.72.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.h1.c1', 'outer_equivalence': False, 'perfect': False, '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': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246197
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.72.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.h1.d1', 'outer_equivalence': False, 'perfect': False, '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': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246198
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 18, 'counter': 281, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.80.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': '80.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 75246199
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 18, 'counter': 282, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.80.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], '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: 75246200
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 18, 'counter': 283, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.80.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.36', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 75246201
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 9, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.80.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75246202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 9, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.80.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 75246203
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 9, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.80.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.d1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246204
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 9, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.80.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.d1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246205
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.90.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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246206
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.90.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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.90.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.90.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.90.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246211
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 8, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.90.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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 75246212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 8, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.90.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': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246213
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 15, 'counter': 295, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.96.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': '96.100', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 100, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_4', '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: 75246214
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': True, 'core_order': 15, 'counter': 296, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.165', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 165, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['L2', '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: 75246215
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 5, 'counter': 297, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 75246216
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 12, 'counter': 298, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.120.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': '120.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246217
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 12, 'counter': 299, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.120.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.44', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246220
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': False, 'core_order': 12, 'counter': 300, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.120.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '120.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.18', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 75246221
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': False, 'core_order': 12, 'counter': 301, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.120.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '120.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.18', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 75246222
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 12, 'counter': 302, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.120.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{15}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246223
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 12, 'counter': 303, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.120.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{15}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246224
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 12, 'counter': 304, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.120.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.17', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246225
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 12, 'counter': 305, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.120.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.17', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246226
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 4, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246227
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246228
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246229
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246231
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246232
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 311, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.120.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: 75246233
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 312, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.120.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246234
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 6, 'counter': 313, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.120.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246235
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 6, 'counter': 314, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.120.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 75246236
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 6, 'counter': 315, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.120.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 75246237
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 6, 'counter': 316, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.120.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 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: 75246238
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 2, 'counter': 317, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.120.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 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: 75246239
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 2, 'counter': 318, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.120.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 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: 75246240
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 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: 75246242
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.m1.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: 75246243
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.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': 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: 75246244
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.n1.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: 75246245
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 6, 'counter': 323, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.120.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.o1.a1', 'outer_equivalence': False, 'perfect': False, '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: 75246246
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 6, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.p1.a1', 'outer_equivalence': False, 'perfect': False, '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: 75246247
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.q1.a1', 'outer_equivalence': False, 'perfect': False, '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: 75246248
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.q1.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: 75246249
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.q1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.q1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246250
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.q1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.q1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246251
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.r1.a1', 'outer_equivalence': False, 'perfect': False, '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: 75246253
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.r1.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: 75246254
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.r1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.r1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246255
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.120.r1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.r1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246256
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 4, 'counter': 333, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.120.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.s1.a1', 'outer_equivalence': False, 'perfect': False, '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: 75246257
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 360, 'characteristic': False, 'core_order': 4, 'counter': 334, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.120.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.s1.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: 75246258
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 10, 'counter': 335, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.144.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': '144.162', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 162, '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': [], '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: 75246259
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 10, 'counter': 336, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.144.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.165', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 165, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246260
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 10, 'counter': 337, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.144.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.159', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 159, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 75246261
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 5, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.144.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.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': 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': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246262
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 5, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.144.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.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': 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': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246264
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 5, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.144.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.d1.c1', 'outer_equivalence': False, 'perfect': False, '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': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246265
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 5, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.144.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.d1.d1', 'outer_equivalence': False, 'perfect': False, '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': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 75246266
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 9, 'counter': 342, 'cyclic': False, 'direct': False, 'hall': 3, 'label': '1440.2870.160.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': '160.94', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 94, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 75246267
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 8, 'counter': 343, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.180.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': '180.26', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 180, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246268
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 75246269
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 75246270
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.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: 75246271
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 4, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246272
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 4, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.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: 75246273
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 4, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.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': 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: 75246275
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246276
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246277
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.f1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.f1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246278
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.f1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.f1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.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': 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: 75246281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.g1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.g1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.180.g1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '180.g1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246283
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 6, 'counter': 358, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.240.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': '240.137', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 137, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{20}', '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: 75246284
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 6, 'counter': 359, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.240.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.157', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 157, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_{20}', '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: 75246286
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 6, 'counter': 360, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.240.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.130', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 130, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{60}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246287
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 6, 'counter': 361, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.240.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.158', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 158, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}:C_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: 75246288
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 6, 'counter': 362, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.240.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.144', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 144, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{30}:C_4', '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: 75246289
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 6, 'counter': 363, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.240.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.156', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 156, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_{10}', '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: 75246290
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 2, 'counter': 364, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.240.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 75246291
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 2, 'counter': 365, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.240.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 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: 75246292
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 2, 'counter': 366, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.240.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 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: 75246293
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 3, 'counter': 367, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.240.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 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: 75246294
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 3, 'counter': 368, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.240.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 75246295
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 3, 'counter': 369, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.240.j1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.j1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246297
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 3, 'counter': 370, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.240.j1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.j1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246298
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 3, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.240.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 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: 75246299
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 3, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.240.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 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: 75246300
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 3, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.240.k1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.k1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246301
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 3, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.240.k1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.k1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246302
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 5, 'counter': 375, 'cyclic': True, 'direct': False, 'hall': 5, 'label': '1440.2870.288.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': '288.664', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 664, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_{12}', '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: 75246303
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 4, 'counter': 376, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1440.2870.360.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': '360.151', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 151, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 360, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}:D_6', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 75246304
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 4, 'counter': 377, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.360.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '360.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '360.60', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 60, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 360, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{15}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246305
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 4, 'counter': 378, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.360.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '360.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '360.60', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 60, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 360, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{15}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 75246306
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.360.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: 75246308
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.360.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.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': 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: 75246309
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 381, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.360.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: 75246310
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 382, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.360.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.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': 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: 75246311
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 383, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.360.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: 75246312
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 2, 'counter': 384, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.360.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: 75246313
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.360.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.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': 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: 75246314
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.360.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.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': 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: 75246315
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 2, 'counter': 387, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.360.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.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': 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: 75246316
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.360.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.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': 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: 75246317
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.360.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.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': 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: 75246319
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.360.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.h1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246320
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1440.2870.360.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '360.h1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246321
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 3, 'counter': 392, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1440.2870.480.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': '480.504', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 504, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{60}:C_4', '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: 75246322
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': True, 'core_order': 3, 'counter': 393, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.480.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '480.666', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 666, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_{20}', '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: 75246323
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 720, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.480.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 75246324
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 2, 'counter': 395, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.720.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': '720.601', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 601, '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': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 75246325
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 2, 'counter': 396, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.720.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '720.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '720.594', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 594, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 720, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{60}:C_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 75246326
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 2, 'counter': 397, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1440.2870.720.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '720.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '720.608', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 608, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 720, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{30}:C_{12}', '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: 75246327
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 398, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.720.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '720.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': 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: 75246328
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.720.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '720.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': 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: 75246331
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.720.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '720.d1.c1', 'outer_equivalence': False, 'perfect': False, '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: 75246332
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 401, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1440.2870.720.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '720.d1.d1', 'outer_equivalence': False, 'perfect': False, '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: 75246333
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1440.2870', 'ambient_counter': 2870, 'ambient_order': 1440, 'ambient_tex': 'D_{60}:C_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 1440, 'characteristic': True, 'core_order': 1, 'counter': 402, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1440.2870.1440.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': '1440.2870', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2870, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1440, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{60}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 75245996
    {'ambient': '1440.2870', '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': '120.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.b1.a1', '5.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6880, 4984, 4349, 2741, 6706, 4561, 5111, 4101], 'generators': [1, 2, 960, 360, 720, 288, 12, 8], 'label': '1440.2870.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_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'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '120.42', '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': '120.42'}
  • id: 75245997
    {'ambient': '1440.2870', 'aut_centralizer_order': 2, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.d1.a1', '6.g1.a1', '6.g1.b1', '6.h1.a1', '6.h1.b1', '6.i1.a1', '6.j1.a1', '9.a1.a1', '15.a1.a1'], 'core': '6.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6759, -1, 4324, -1, 6607, -1, 5038, -1], 'generators': [1, 720, 360, 8, 12, 288, 2], 'label': '1440.2870.3.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '3.b1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.b1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75245998
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '15.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '768.1076197', 'aut_weyl_index': 40, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.a1.a1'], 'contains': ['30.a1.a1', '30.e1.a1', '30.e1.b1', '30.f1.a1', '30.f1.b1', '30.g1.a1', '30.j1.a1', '45.a1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7498, -1, 4056, -1, 7232, -1, 5407, -1], 'generators': [1, 960, 720, 12, 360, 2], 'label': '1440.2870.15.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '15.b1.a1', 'projective_image': '360.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75245999
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '16.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '8.e1.a1', '8.e1.b1', '8.f1.a1', '8.f1.b1'], 'contains': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.g1.a1', '80.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [702, 6942, 1156, 2805, 1807, 7755, 8609, 2240], 'generators': [2, 960, 288, 8], 'label': '1440.2870.16.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.b1', '8.b1.a1'], 'normal_contains': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '240.137', '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: 75246000
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '16.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.g1.a1', '8.g1.b1', '8.h1.a1'], 'contains': ['32.a1.a1', '48.c1.a1', '48.d1.a1', '48.h1.a1', '80.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3006, 5293, 5944, 4246, 4478, 6268, 4022, 3175], 'generators': [722, 960, 288, 8], 'label': '1440.2870.16.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '48.c1.a1', '48.d1.a1', '80.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '240.130', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246001
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '16.c1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.c1.a1', '8.c1.b1', '8.c1.c1', '8.c1.d1', '8.d1.a1', '8.d1.b1'], 'contains': ['32.a1.a1', '48.e1.a1', '48.f1.a1', '48.i1.a1', '80.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7604, 4022, 9692, 9162, 6384, 2135, 1683, 7895], 'generators': [720, 960, 288, 8], 'label': '1440.2870.16.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.c1.a1', '8.c1.b1', '8.c1.c1', '8.c1.d1', '8.d1.b1', '8.d1.a1'], 'normal_contains': ['32.a1.a1', '48.e1.a1', '48.f1.a1', '80.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '240.144', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246002
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.e1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '48.j1.a1', '48.k1.a1', '80.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1975, -1, 7734, -1, 2402, -1, 3240, -1], 'generators': [12, 960, 288, 8], 'label': '1440.2870.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246003
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '8.e1.b1', '8.g1.b1'], 'contains': ['32.a1.a1', '48.j1.b1', '48.k1.b1', '80.d1.b1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1975, -1, 5626, -1, 2402, -1, 3746, -1], 'generators': [900, 960, 288, 8], 'label': '1440.2870.16.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '16.d1.b1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.b1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246004
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.c1', '8.e1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '48.j1.c1', '48.k1.c1', '80.d1.c1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1975, -1, 7614, -1, 2402, -1, 2907, -1], 'generators': [14, 960, 288, 8], 'label': '1440.2870.16.d1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.d1.c1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.c1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246005
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.d1', '8.e1.b1', '8.g1.b1'], 'contains': ['32.a1.a1', '48.j1.d1', '48.k1.d1', '80.d1.d1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1975, -1, 5371, -1, 2402, -1, 3642, -1], 'generators': [902, 960, 288, 8], 'label': '1440.2870.16.d1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '16.d1.d1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.d1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246006
    {'ambient': '1440.2870', 'aut_centralizer_order': 48, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '640.19303', 'aut_weyl_index': 48, 'centralizer': '20.b1.a1', 'complements': ['80.d1.a1', '80.d1.b1', '80.d1.c1', '80.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '6.f1.a1', '6.k1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.b1.a1', '36.b1.b1', '90.e1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6465, 1046, 3823, 5072, 5918, 2864, 5460, 4893], 'generators': [15, 2, 720, 360, 288], 'label': '1440.2870.18.a1.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.a1.a1', 'normal_contained_in': ['6.d1.a1', '6.f1.a1'], 'normal_contains': ['36.a1.a1', '36.b1.b1', '36.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '360.151', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246007
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '320.1638', 'aut_weyl_index': 96, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '6.g1.a1', '9.a1.a1'], 'contains': ['36.b1.a1', '36.c1.a1', '36.d1.a1', '36.f1.a1', '36.f1.b1', '90.a1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3287, -1, 1451, -1, 3175, -1, 6314, -1], 'generators': [1, 720, 2, 12, 288], 'label': '1440.2870.18.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.b1.a1', 'projective_image': '360.151', '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': '20.4'}
  • id: 75246008
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '960.11377', 'aut_weyl_index': 32, 'centralizer': '120.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '8.c1.c1', '8.e1.a1', '8.g1.a1', '12.a1.a1', '12.i1.a1', '20.d1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4198, 4976, 6784, 5559, 4755, 3889, 3179, 7108], 'generators': [2, 288, 720, 8, 12, 960], 'label': '1440.2870.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.c1.a1', '8.c1.c1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '120.42', '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': '120.42'}
  • id: 75246009
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '320.1638', 'aut_weyl_index': 96, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.b1', '6.g1.b1', '9.a1.a1'], 'contains': ['36.b1.b1', '36.c1.b1', '36.d1.a1', '36.f1.c1', '36.f1.d1', '90.a1.b1'], 'core': '36.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [3287, -1, 2880, -1, 3175, -1, 7343, -1], 'generators': [961, 720, 2, 900, 288], 'label': '1440.2870.18.b1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.b1.b1', 'projective_image': '360.151', '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': '20.4'}
  • id: 75246010
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '18.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '320.1638', 'aut_weyl_index': 96, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '6.h1.a1', '9.a1.a1'], 'contains': ['36.b1.b1', '36.c1.a1', '36.e1.a1', '90.b1.a1'], 'core': '36.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5264, -1, 5725, -1, 5279, -1, 4999, -1], 'generators': [1081, 722, 720, 12, 288], 'label': '1440.2870.18.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.c1.a1', 'projective_image': '360.151', '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': '20.4'}
  • id: 75246011
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '18.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '320.1638', 'aut_weyl_index': 96, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '6.h1.b1', '9.a1.a1'], 'contains': ['36.b1.a1', '36.c1.b1', '36.e1.a1', '90.b1.b1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5264, -1, 4292, -1, 5279, -1, 5133, -1], 'generators': [601, 722, 720, 900, 288], 'label': '1440.2870.18.c1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.c1.b1', 'projective_image': '360.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246012
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '640.19303', 'aut_weyl_index': 48, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '6.i1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.c1.a1', '36.c1.b1', '36.g1.a1', '36.g1.b1', '36.g1.c1', '36.g1.d1', '90.c1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8809, -1, 6821, -1, 8915, -1, 2304, -1], 'generators': [2, 360, 720, 12, 288], 'label': '1440.2870.18.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.d1.a1', 'projective_image': '360.151', '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': '20.4'}
  • id: 75246013
    {'ambient': '1440.2870', 'aut_centralizer_order': 160, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.260', 'aut_weyl_index': 480, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '6.j1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.d1.a1', '36.e1.a1', '90.d1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7997, -1, 4488, -1, 7616, -1, 4684, -1], 'generators': [1, 288, 2, 360, 720], 'label': '1440.2870.18.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.e1.a1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246014
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '20.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1920, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.a1.a1', '10.d1.a1', '10.e1.a1'], 'contains': ['40.a1.a1', '40.c1.a1', '40.c1.b1', '60.a1.a1', '60.b1.a1', '60.k1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8949, 3303, 6655, 4509, 8729, 4041, 2615, 5213], 'generators': [2, 720, 360, 8, 960], 'label': '1440.2870.20.a1.a1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.b1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '40.c1.b1', '40.c1.a1', '60.a1.a1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '120.42', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246015
    {'ambient': '1440.2870', 'aut_centralizer_order': 640, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.51', 'aut_weyl_index': 640, 'centralizer': '6.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '10.a1.a1', '10.b1.a1', '10.b1.b1'], 'contains': ['40.a1.a1', '40.b1.a1', '40.b1.b1', '60.c1.a1', '60.g1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4206, 9859, 2596, 1327, 4242, 9033, 6670, 1048], 'generators': [1, 960, 720, 8, 2], 'label': '1440.2870.20.b1.a1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.c1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '40.b1.b1', '40.b1.a1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '120.42', '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': '6.1'}
  • id: 75246016
    {'ambient': '1440.2870', 'aut_centralizer_order': 640, 'aut_label': '20.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.51', 'aut_weyl_index': 640, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '10.a1.a1', '10.c1.a1', '10.c1.b1'], 'contains': ['40.a1.a1', '40.g1.a1', '60.d1.a1', '60.h1.a1'], 'core': '20.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6280, 8886, 6124, 473, 7273, 7131, 4234, 2244], 'generators': [601, 960, 720, 8, 722], 'label': '1440.2870.20.c1.a1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.c1.a1', 'normal_contained_in': ['4.d1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '60.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.c1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246017
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '48.51', 'aut_weyl_index': 640, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.b1.a1', '10.c1.a1', '10.d1.a1'], 'contains': ['40.a1.a1', '40.d1.a1', '40.f1.a1', '40.h1.a1', '40.h1.c1', '60.e1.a1', '60.f1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5004, -1, 7267, -1, 5092, -1, 3179, -1], 'generators': [2, 960, 12, 720, 8], 'label': '1440.2870.20.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.d1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246018
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '48.51', 'aut_weyl_index': 640, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '10.b1.b1', '10.c1.b1', '10.d1.a1'], 'contains': ['40.a1.a1', '40.d1.b1', '40.f1.b1', '40.h1.b1', '40.h1.d1', '60.e1.b1', '60.f1.b1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5004, -1, 5272, -1, 5092, -1, 3791, -1], 'generators': [2, 960, 900, 720, 8], 'label': '1440.2870.20.d1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.d1.b1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246050
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '12.j1.a1', '12.n1.b1', '12.n1.d1'], 'contains': ['48.a1.a1', '72.d1.b1', '120.i1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [702, -1, 969, -1, 1286, -1, 8424, -1], 'generators': [241, 288, 2, 8], 'label': '1440.2870.24.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.j1.b1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246019
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '960.11377', 'aut_weyl_index': 32, 'centralizer': '120.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '2.b1.b1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.c1.b1', '8.c1.d1', '8.e1.b1', '8.g1.b1', '12.a1.b1', '12.i1.b1', '20.d1.b1'], 'core': '4.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4198, 4976, 5323, 4940, 4755, 3889, 3791, 6565], 'generators': [2, 288, 720, 8, 900, 960], 'label': '1440.2870.4.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.a1.a1', '8.c1.b1', '8.c1.d1', '12.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.b1', 'projective_image': '120.42', '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': '120.42'}
  • id: 75246020
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1920, 'centralizer': '20.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '10.b1.a1', '10.c1.b1', '10.e1.a1'], 'contains': ['40.a1.a1', '40.e1.a1', '60.i1.a1', '60.j1.a1', '60.l1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5253, -1, 2959, -1, 2962, -1, 5867, -1], 'generators': [15, 2, 720, 8, 960], 'label': '1440.2870.20.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.e1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246021
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1920, 'centralizer': '20.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '10.b1.b1', '10.c1.a1', '10.e1.a1'], 'contains': ['40.a1.a1', '40.e1.b1', '60.i1.b1', '60.j1.b1', '60.l1.b1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5253, -1, 3555, -1, 2962, -1, 7101, -1], 'generators': [1381, 2, 720, 8, 960], 'label': '1440.2870.20.e1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.e1.b1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246022
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '48.51', 'aut_weyl_index': 640, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '10.b1.a1'], 'contains': ['40.b1.a1', '40.d1.a1', '40.e1.a1', '60.m1.a1', '60.n1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1822, -1, 866, -1, 1504, -1, 8015, -1], 'generators': [1, 960, 12, 8, 2], 'label': '1440.2870.20.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '20.f1.a1', 'projective_image': '240.137', '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': '6.1'}
  • id: 75246023
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '48.51', 'aut_weyl_index': 640, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '10.b1.a1'], 'contains': ['40.b1.b1', '40.d1.a1', '40.e1.a1', '60.m1.b1', '60.n1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [1822, -1, 1074, -1, 1504, -1, 8117, -1], 'generators': [241, 960, 12, 8, 2], 'label': '1440.2870.20.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '20.f1.b1', 'projective_image': '240.137', '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': '6.1'}
  • id: 75246024
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '48.51', 'aut_weyl_index': 640, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.c1', '10.b1.b1'], 'contains': ['40.b1.a1', '40.d1.b1', '40.e1.b1', '60.m1.c1', '60.n1.c1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1822, -1, 1876, -1, 1504, -1, 9047, -1], 'generators': [1, 960, 900, 8, 2], 'label': '1440.2870.20.f1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '20.f1.c1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246025
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '48.51', 'aut_weyl_index': 640, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.d1', '10.b1.b1'], 'contains': ['40.b1.b1', '40.d1.b1', '40.e1.b1', '60.m1.d1', '60.n1.d1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [1822, -1, 2137, -1, 1504, -1, 9150, -1], 'generators': [241, 960, 900, 8, 2], 'label': '1440.2870.20.f1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '20.f1.d1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1.d1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246026
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '96.209', 'aut_weyl_index': 320, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '10.d1.a1'], 'contains': ['40.c1.a1', '40.h1.a1', '40.h1.b1', '60.o1.a1', '60.p1.a1'], 'core': '40.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9750, -1, 8785, -1, 9918, -1, 1376, -1], 'generators': [12, 960, 360, 8, 720], 'label': '1440.2870.20.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.g1.a1', 'projective_image': '240.144', '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': '24.14'}
  • id: 75246027
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '96.209', 'aut_weyl_index': 320, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '10.d1.a1'], 'contains': ['40.c1.b1', '40.h1.a1', '40.h1.d1', '60.o1.b1', '60.p1.b1'], 'core': '40.c1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [9750, -1, 8576, -1, 9918, -1, 848, -1], 'generators': [362, 960, 12, 8, 720], 'label': '1440.2870.20.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.g1.b1', 'projective_image': '240.144', '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': '24.14'}
  • id: 75246028
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '96.209', 'aut_weyl_index': 320, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.c1', '10.d1.a1'], 'contains': ['40.c1.b1', '40.h1.b1', '40.h1.c1', '60.o1.c1', '60.p1.c1'], 'core': '40.c1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [9750, -1, 9129, -1, 9918, -1, 641, -1], 'generators': [362, 960, 900, 8, 720], 'label': '1440.2870.20.g1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.g1.c1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1.c1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75246029
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '96.209', 'aut_weyl_index': 320, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.d1', '10.d1.a1'], 'contains': ['40.c1.a1', '40.h1.c1', '40.h1.d1', '60.o1.d1', '60.p1.d1'], 'core': '40.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9750, -1, 8079, -1, 9918, -1, 1480, -1], 'generators': [14, 960, 360, 8, 720], 'label': '1440.2870.20.g1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '20.g1.d1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1.d1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75246030
    {'ambient': '1440.2870', 'aut_centralizer_order': 480, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '64.260', 'aut_weyl_index': 480, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '12.b1.a1', '12.d1.a1', '12.l1.a1', '20.a1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8852, 2071, 6480, 6314, 8175, 1763, 2666, 6109], 'generators': [2, 720, 8, 960, 360, 288], 'label': '1440.2870.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.a1.a1', '8.d1.b1', '8.d1.a1', '12.b1.a1', '12.d1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '120.42', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246031
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '24.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.b1.a1', '12.c1.a1', '12.c1.b1', '12.i1.a1', '12.i1.b1', '12.j1.a1', '12.k1.a1'], 'contains': ['48.a1.a1', '48.c1.a1', '48.e1.a1', '72.a1.a1', '120.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3553, 3612, 4846, 5818, 4848, 5091, 4748, 4294], 'generators': [2, 8, 288, 720], 'label': '1440.2870.24.a1.a1', 'mobius_quo': 2, 'mobius_sub': 24, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.b1.a1', '12.c1.b1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '48.e1.a1', '48.c1.a1', '72.a1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '120.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.4', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246032
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '24.b1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.a1.b1', '12.d1.a1', '12.e1.a1', '12.f1.a1', '12.g1.a1', '12.g1.b1'], 'contains': ['48.b1.a1', '48.d1.a1', '48.f1.a1', '72.a1.a1', '120.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4030, 6158, 4943, 3264, 5033, 5679, 4904, 3545], 'generators': [2, 960, 288, 720], 'label': '1440.2870.24.b1.a1', 'mobius_quo': 2, 'mobius_sub': 8, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.a1.b1', '12.d1.a1', '12.e1.a1', '12.f1.a1', '12.g1.b1', '12.g1.a1'], 'normal_contains': ['48.b1.a1', '48.f1.a1', '48.d1.a1', '72.a1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '360.151', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246033
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '24.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.35', 'aut_weyl_index': 640, 'centralizer': '12.b1.a1', 'complements': ['60.o1.a1', '60.o1.d1', '60.o1.b1', '60.o1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.e1.a1', '12.o1.a1', '12.o1.c1'], 'contains': ['48.b1.a1', '72.d1.a1', '120.c1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1459, 8138, 362, 2311, 1430, 8953, 8819, 1107], 'generators': [1, 2, 960, 288], 'label': '1440.2870.24.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.b1.a1', '12.e1.a1'], 'normal_contains': ['48.b1.a1', '120.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '720.601', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246034
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '24.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.35', 'aut_weyl_index': 640, 'centralizer': '12.b1.a1', 'complements': ['60.o1.a1', '60.o1.d1', '60.o1.b1', '60.o1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '12.e1.a1', '12.o1.b1', '12.o1.d1'], 'contains': ['48.b1.a1', '72.d1.b1', '120.c1.b1'], 'core': '24.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1459, 8138, 654, 1783, 1430, 8953, 8981, 1486], 'generators': [241, 2, 960, 288], 'label': '1440.2870.24.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1.b1', 'normal_contained_in': ['8.b1.b1', '12.e1.a1'], 'normal_contains': ['48.b1.a1', '120.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.b1', 'projective_image': '720.601', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246035
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.d1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': ['60.m1.c1', '60.m1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.a1.a1', '12.h1.a1', '12.h1.b1'], 'contains': ['48.f1.a1', '48.k1.a1', '72.h1.a1', '120.r1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7814, 4759, 8495, 9019, 6088, 1092, 1932, 8181], 'generators': [12, 960, 288, 720], 'label': '1440.2870.24.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': ['8.c1.a1', '12.a1.a1', '12.h1.a1', '12.h1.b1'], 'normal_contains': ['48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '720.608', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246036
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.d1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': ['60.m1.a1', '60.m1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '12.a1.b1', '12.h1.a1', '12.h1.c1'], 'contains': ['48.f1.a1', '48.k1.b1', '72.h1.b1', '120.r1.b1'], 'core': '24.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7814, 4759, 9459, 8540, 6088, 1092, 1876, 9343], 'generators': [900, 960, 288, 720], 'label': '1440.2870.24.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': ['8.c1.b1', '12.a1.b1', '12.h1.a1', '12.h1.c1'], 'normal_contains': ['48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.b1', 'projective_image': '720.608', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.d1.b1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246037
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.d1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': ['60.m1.c1', '60.m1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.c1', '12.a1.a1', '12.h1.c1', '12.h1.d1'], 'contains': ['48.f1.a1', '48.k1.c1', '72.h1.c1', '120.r1.c1'], 'core': '24.d1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7814, 4759, 8742, 7621, 6088, 1092, 1988, 8394], 'generators': [14, 960, 288, 720], 'label': '1440.2870.24.d1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1.c1', 'normal_contained_in': ['8.c1.c1', '12.a1.a1', '12.h1.c1', '12.h1.d1'], 'normal_contains': ['48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.c1', 'projective_image': '720.608', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.d1.c1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246038
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.d1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': ['60.m1.a1', '60.m1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.d1', '12.a1.b1', '12.h1.b1', '12.h1.d1'], 'contains': ['48.f1.a1', '48.k1.d1', '72.h1.d1', '120.r1.d1'], 'core': '24.d1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7814, 4759, 7956, 8310, 6088, 1092, 2270, 7609], 'generators': [902, 960, 288, 720], 'label': '1440.2870.24.d1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1.d1', 'normal_contained_in': ['8.c1.d1', '12.a1.b1', '12.h1.b1', '12.h1.d1'], 'normal_contains': ['48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.d1', 'projective_image': '720.608', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.d1.d1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246039
    {'ambient': '1440.2870', 'aut_centralizer_order': 960, 'aut_label': '24.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '2.d1.a1', 'complements': ['60.n1.a1', '60.n1.b1', '60.n1.c1', '60.n1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.b1.a1', '12.p1.a1', '12.p1.d1'], 'contains': ['48.e1.a1', '72.b1.a1', '120.d1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9385, 141, 9534, 8079, 8757, 453, 984, 7008], 'generators': [360, 288, 720, 8], 'label': '1440.2870.24.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1.a1', 'normal_contained_in': ['8.d1.a1', '12.b1.a1'], 'normal_contains': ['48.e1.a1', '72.b1.a1', '120.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.a1', 'projective_image': '240.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.1', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246040
    {'ambient': '1440.2870', 'aut_centralizer_order': 960, 'aut_label': '24.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '2.d1.a1', 'complements': ['60.n1.a1', '60.n1.b1', '60.n1.c1', '60.n1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '12.b1.a1', '12.p1.b1', '12.p1.c1'], 'contains': ['48.e1.a1', '72.b1.b1', '120.d1.b1'], 'core': '24.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9385, 141, 9789, 6736, 8757, 453, 109, 6808], 'generators': [362, 288, 720, 8], 'label': '1440.2870.24.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1.b1', 'normal_contained_in': ['8.d1.b1', '12.b1.a1'], 'normal_contains': ['48.e1.a1', '72.b1.b1', '120.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.b1', 'projective_image': '240.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.1', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246041
    {'ambient': '1440.2870', 'aut_centralizer_order': 160, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '192.1511', 'aut_weyl_index': 160, 'centralizer': '12.b1.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.b1.b1', '12.e1.a1', '12.j1.a1', '20.b1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4439, 6862, 1651, 2733, 4113, 8831, 6670, 915], 'generators': [1, 960, 8, 288, 720, 2], 'label': '1440.2870.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1', '2.a1.b1', '2.d1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.b1', '8.b1.a1', '12.e1.a1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246042
    {'ambient': '1440.2870', 'aut_centralizer_order': 960, 'aut_label': '24.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '4.b1.a1', 'complements': ['60.m1.a1', '60.m1.b1', '60.m1.c1', '60.m1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.d1.a1', '12.h1.a1', '12.h1.d1'], 'contains': ['48.f1.a1', '72.b1.a1', '120.e1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9918, 2075, 8443, 8788, 8856, 771, 2045, 7407], 'generators': [360, 288, 720, 960], 'label': '1440.2870.24.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.f1.a1', 'normal_contained_in': ['8.d1.a1', '12.d1.a1', '12.h1.a1', '12.h1.d1'], 'normal_contains': ['48.f1.a1', '72.b1.a1', '120.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.a1', 'projective_image': '720.608', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246043
    {'ambient': '1440.2870', 'aut_centralizer_order': 960, 'aut_label': '24.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '4.b1.a1', 'complements': ['60.m1.a1', '60.m1.b1', '60.m1.c1', '60.m1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '12.d1.a1', '12.h1.b1', '12.h1.c1'], 'contains': ['48.f1.a1', '72.b1.b1', '120.e1.b1'], 'core': '24.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9918, 2075, 9092, 7129, 8856, 771, 468, 7208], 'generators': [362, 288, 720, 960], 'label': '1440.2870.24.f1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.f1.b1', 'normal_contained_in': ['8.d1.b1', '12.d1.a1', '12.h1.b1', '12.h1.c1'], 'normal_contains': ['48.f1.a1', '72.b1.b1', '120.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.b1', 'projective_image': '720.608', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.f1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246044
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.l1.a1', '12.m1.a1', '12.m1.b1'], 'contains': ['48.g1.a1', '48.h1.a1', '48.i1.a1', '72.a1.a1', '120.f1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4582, -1, 4352, -1, 4663, -1, 5007, -1], 'generators': [2, 968, 288, 720], 'label': '1440.2870.24.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '24.g1.a1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246045
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.i1.a1', '12.n1.a1', '12.n1.b1'], 'contains': ['48.a1.a1', '48.j1.a1', '48.j1.c1', '72.c1.a1', '120.g1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [577, -1, 564, -1, 1977, -1, 6704, -1], 'generators': [2, 8, 288, 12], 'label': '1440.2870.24.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '24.h1.a1', 'projective_image': '240.137', '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': '10.1'}
  • id: 75246046
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '12.i1.b1', '12.n1.c1', '12.n1.d1'], 'contains': ['48.a1.a1', '48.j1.b1', '48.j1.d1', '72.c1.b1', '120.g1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [577, -1, 2498, -1, 1977, -1, 8210, -1], 'generators': [2, 8, 288, 900], 'label': '1440.2870.24.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '24.h1.b1', 'projective_image': '240.137', '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': '10.1'}
  • id: 75246047
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.a1.a1', '12.o1.a1', '12.o1.b1'], 'contains': ['48.b1.a1', '48.k1.a1', '48.k1.c1', '72.c1.a1', '120.h1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1317, -1, 187, -1, 2105, -1, 7064, -1], 'generators': [2, 960, 288, 12], 'label': '1440.2870.24.i1.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.i1.a1', 'projective_image': '720.601', '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': '60.8'}
  • id: 75246048
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '12.a1.b1', '12.o1.c1', '12.o1.d1'], 'contains': ['48.b1.a1', '48.k1.b1', '48.k1.d1', '72.c1.b1', '120.h1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1317, -1, 2364, -1, 2105, -1, 8900, -1], 'generators': [2, 960, 288, 900], 'label': '1440.2870.24.i1.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.i1.b1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.b1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246049
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.j1.a1', '12.n1.a1', '12.n1.c1'], 'contains': ['48.a1.a1', '72.d1.a1', '120.i1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [702, -1, 1163, -1, 1286, -1, 8282, -1], 'generators': [1, 288, 2, 8], 'label': '1440.2870.24.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.j1.a1', 'projective_image': '240.137', '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': '2.1'}
  • id: 75246051
    {'ambient': '1440.2870', 'aut_centralizer_order': 96, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.c1.a1', '12.n1.a1', '12.n1.b1'], 'contains': ['48.a1.a1', '72.e1.a1', '120.j1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [82, -1, 263, -1, 274, -1, 7542, -1], 'generators': [15, 2, 288, 8], 'label': '1440.2870.24.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.k1.a1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246052
    {'ambient': '1440.2870', 'aut_centralizer_order': 160, 'aut_label': '4.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '192.1511', 'aut_weyl_index': 160, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.b1.b1', '2.d1.a1'], 'contains': ['8.a1.a1', '8.h1.a1', '12.f1.a1', '12.k1.a1', '20.c1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6054, 7868, 5765, 1224, 6635, 6730, 4098, 2235], 'generators': [601, 960, 8, 288, 720, 722], 'label': '1440.2870.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.b1.a1', '2.b1.b1', '2.d1.a1'], 'normal_contains': ['8.a1.a1', '12.f1.a1', '20.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246053
    {'ambient': '1440.2870', 'aut_centralizer_order': 96, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '12.c1.b1', '12.n1.c1', '12.n1.d1'], 'contains': ['48.a1.a1', '72.e1.b1', '120.j1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [82, -1, 1973, -1, 274, -1, 9190, -1], 'generators': [1381, 2, 288, 8], 'label': '1440.2870.24.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '24.k1.b1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246054
    {'ambient': '1440.2870', 'aut_centralizer_order': 96, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.g1.a1', '12.o1.a1', '12.o1.b1'], 'contains': ['48.b1.a1', '72.e1.a1', '120.k1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1054, -1, 44, -1, 463, -1, 8008, -1], 'generators': [15, 2, 288, 960], 'label': '1440.2870.24.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.l1.a1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246055
    {'ambient': '1440.2870', 'aut_centralizer_order': 96, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '12.g1.b1', '12.o1.c1', '12.o1.d1'], 'contains': ['48.b1.a1', '72.e1.b1', '120.k1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1054, -1, 1673, -1, 463, -1, 9847, -1], 'generators': [1381, 2, 288, 960], 'label': '1440.2870.24.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '24.l1.b1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246056
    {'ambient': '1440.2870', 'aut_centralizer_order': 48, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.m1.a1'], 'contains': ['48.g1.a1', '72.e1.a1', '120.l1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [393, -1, 1260, -1, 84, -1, 8114, -1], 'generators': [15, 2, 288, 968], 'label': '1440.2870.24.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '24.m1.a1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246057
    {'ambient': '1440.2870', 'aut_centralizer_order': 48, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '12.m1.b1'], 'contains': ['48.g1.a1', '72.e1.b1', '120.l1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [393, -1, 2701, -1, 84, -1, 9953, -1], 'generators': [1381, 2, 288, 968], 'label': '1440.2870.24.m1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.b1', 'old_label': '24.m1.b1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246058
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.i1.a1'], 'contains': ['48.c1.a1', '48.j1.a1', '48.j1.c1', '72.f1.a1', '120.m1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2445, -1, 7480, -1, 2573, -1, 3002, -1], 'generators': [722, 8, 288, 12], 'label': '1440.2870.24.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '24.n1.a1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246059
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.b1', '12.i1.b1'], 'contains': ['48.c1.a1', '48.j1.b1', '48.j1.d1', '72.f1.b1', '120.m1.b1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2445, -1, 5436, -1, 2573, -1, 3842, -1], 'generators': [722, 8, 288, 900], 'label': '1440.2870.24.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '24.n1.b1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246060
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.a1.a1'], 'contains': ['48.d1.a1', '48.k1.a1', '48.k1.c1', '72.f1.a1', '120.n1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2570, -1, 6900, -1, 2701, -1, 3159, -1], 'generators': [722, 960, 288, 12], 'label': '1440.2870.24.o1.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.o1.a1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1.a1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246061
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '240.195', 'aut_weyl_index': 128, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.b1', '12.a1.b1'], 'contains': ['48.d1.a1', '48.k1.b1', '48.k1.d1', '72.f1.b1', '120.n1.b1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2570, -1, 5526, -1, 2701, -1, 4102, -1], 'generators': [722, 960, 288, 900], 'label': '1440.2870.24.o1.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.o1.b1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1.b1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246062
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.k1.a1'], 'contains': ['48.c1.a1', '72.g1.a1', '120.o1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6590, -1, 6495, -1, 6631, -1, 4159, -1], 'generators': [601, 288, 722, 8], 'label': '1440.2870.24.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.a1', 'old_label': '24.p1.a1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246063
    {'ambient': '1440.2870', 'aut_centralizer_order': 48, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '320.1638', 'aut_weyl_index': 96, 'centralizer': '40.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.b1', '2.e1.a1'], 'contains': ['8.a1.a1', '8.f1.a1', '12.c1.a1', '12.g1.a1', '12.m1.a1', '20.e1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3932, 3854, 3198, 4317, 2962, 5243, 6036, 4768], 'generators': [15, 288, 8, 960, 720, 2], 'label': '1440.2870.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.b1', '2.e1.a1'], 'normal_contains': ['8.a1.a1', '12.c1.a1', '12.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '120.42', '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': '40.13'}
  • id: 75246064
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '48.35', 'aut_weyl_index': 640, 'centralizer': '12.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.f1.a1'], 'contains': ['48.d1.a1', '72.g1.a1', '120.p1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5858, -1, 5669, -1, 6775, -1, 4345, -1], 'generators': [601, 722, 960, 288], 'label': '1440.2870.24.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '24.q1.a1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.q1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246065
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.i1.a1', '12.p1.a1', '12.p1.b1'], 'contains': ['48.e1.a1', '48.j1.a1', '72.h1.a1', '120.q1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7366, -1, 9369, -1, 5960, -1, 826, -1], 'generators': [12, 8, 288, 720], 'label': '1440.2870.24.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.r1.a1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246066
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '12.i1.b1', '12.p1.a1', '12.p1.c1'], 'contains': ['48.e1.a1', '48.j1.b1', '72.h1.b1', '120.q1.b1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7366, -1, 9856, -1, 5960, -1, 739, -1], 'generators': [900, 8, 288, 720], 'label': '1440.2870.24.r1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.r1.b1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246067
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.c1', '12.i1.a1', '12.p1.c1', '12.p1.d1'], 'contains': ['48.e1.a1', '48.j1.c1', '72.h1.c1', '120.q1.c1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7366, -1, 9026, -1, 5960, -1, 913, -1], 'generators': [14, 8, 288, 720], 'label': '1440.2870.24.r1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.r1.c1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1.c1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246068
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.d1', '12.i1.b1', '12.p1.b1', '12.p1.d1'], 'contains': ['48.e1.a1', '48.j1.d1', '72.h1.d1', '120.q1.d1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7366, -1, 8344, -1, 5960, -1, 1399, -1], 'generators': [902, 8, 288, 720], 'label': '1440.2870.24.r1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.r1.d1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1.d1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246069
    {'ambient': '1440.2870', 'aut_centralizer_order': 480, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.l1.a1'], 'contains': ['48.i1.a1', '72.b1.a1', '120.s1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8499, -1, 6952, -1, 8656, -1, 2326, -1], 'generators': [360, 288, 720, 968], 'label': '1440.2870.24.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '24.s1.a1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246070
    {'ambient': '1440.2870', 'aut_centralizer_order': 480, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '12.l1.a1'], 'contains': ['48.i1.a1', '72.b1.b1', '120.s1.b1'], 'core': '72.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8499, -1, 7259, -1, 8656, -1, 2214, -1], 'generators': [362, 288, 720, 968], 'label': '1440.2870.24.s1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '24.s1.b1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246071
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.230', 'aut_weyl_index': 320, 'centralizer': '12.b1.a1', 'complements': ['48.j1.a1', '48.j1.b1', '48.j1.c1', '48.j1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '10.a1.a1', '15.b1.a1'], 'contains': ['60.b1.a1', '60.c1.a1', '60.d1.a1', '90.d1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8823, 8672, 4472, 572, 7988, 7733, 4789, 1865], 'generators': [1, 960, 360, 2, 720], 'label': '1440.2870.30.a1.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '30.a1.a1', 'normal_contained_in': ['6.e1.a1', '10.a1.a1'], 'normal_contains': ['60.b1.a1', '60.c1.a1', '60.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.a1.a1', 'projective_image': '360.151', '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': '12.4'}
  • id: 75246072
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '32.51', 'aut_weyl_index': 960, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.a1', '10.b1.a1', '15.a1.a1'], 'contains': ['60.e1.a1', '60.g1.a1', '60.i1.a1', '60.m1.a1', '60.m1.b1', '90.a1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [4652, -1, 2248, -1, 3400, -1, 6189, -1], 'generators': [1, 2, 12, 720, 8], 'label': '1440.2870.30.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '30.b1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246073
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '32.51', 'aut_weyl_index': 960, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.b1', '10.b1.b1', '15.a1.a1'], 'contains': ['60.e1.b1', '60.g1.a1', '60.i1.b1', '60.m1.c1', '60.m1.d1', '90.a1.b1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [4652, -1, 3032, -1, 3400, -1, 6991, -1], 'generators': [961, 2, 900, 720, 8], 'label': '1440.2870.30.b1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '30.b1.b1', 'projective_image': '120.42', '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': '2.1'}
  • id: 75246074
    {'ambient': '1440.2870', 'aut_centralizer_order': 48, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '320.1638', 'aut_weyl_index': 96, 'centralizer': '40.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '2.b1.a1', '2.e1.a1'], 'contains': ['8.a1.a1', '8.f1.b1', '12.c1.b1', '12.g1.b1', '12.m1.b1', '20.e1.b1'], 'core': '4.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3932, 3854, 3557, 3493, 2962, 5243, 7126, 3474], 'generators': [1381, 288, 8, 960, 720, 2], 'label': '1440.2870.4.e1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.b1', 'normal_contained_in': ['2.a1.b1', '2.b1.a1', '2.e1.a1'], 'normal_contains': ['8.a1.a1', '12.c1.b1', '12.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.b1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.b1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
  • id: 75246075
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '32.51', 'aut_weyl_index': 960, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1.a1', '10.c1.a1', '15.a1.a1'], 'contains': ['60.e1.a1', '60.h1.a1', '60.i1.b1', '90.b1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [5575, -1, 6301, -1, 5453, -1, 4573, -1], 'generators': [1081, 720, 12, 8, 722], 'label': '1440.2870.30.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '30.c1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246076
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '32.51', 'aut_weyl_index': 960, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1.b1', '10.c1.b1', '15.a1.a1'], 'contains': ['60.e1.b1', '60.h1.a1', '60.i1.a1', '90.b1.b1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [5575, -1, 4278, -1, 5453, -1, 4901, -1], 'generators': [601, 720, 900, 8, 722], 'label': '1440.2870.30.c1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '30.c1.b1', 'projective_image': '120.42', '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': '4.2'}
  • id: 75246077
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': 15, 'aut_weyl_group': '64.202', 'aut_weyl_index': 480, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.i1.a1', '10.d1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.e1.a1', '60.e1.b1', '60.o1.a1', '60.o1.b1', '60.o1.c1', '60.o1.d1', '90.c1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [8654, -1, 7415, -1, 9086, -1, 2208, -1], 'generators': [2, 720, 12, 360, 8], 'label': '1440.2870.30.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '30.d1.a1', 'projective_image': '120.42', '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': '4.2'}
  • id: 75246078
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '96.230', 'aut_weyl_index': 320, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.b1.a1', '15.b1.a1'], 'contains': ['60.c1.a1', '60.f1.a1', '60.j1.a1', '60.n1.a1', '60.n1.b1', '90.a1.a1'], 'core': '60.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [4393, -1, 2410, -1, 3623, -1, 6447, -1], 'generators': [1, 960, 12, 720, 2], 'label': '1440.2870.30.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.e1.a1', 'projective_image': '360.151', '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': '12.4'}
  • id: 75246079
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '96.230', 'aut_weyl_index': 320, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.b1', '10.b1.b1', '15.b1.a1'], 'contains': ['60.c1.a1', '60.f1.b1', '60.j1.b1', '60.n1.c1', '60.n1.d1', '90.a1.b1'], 'core': '60.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [4393, -1, 2803, -1, 3623, -1, 7583, -1], 'generators': [1, 960, 900, 720, 2], 'label': '1440.2870.30.e1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.e1.b1', 'projective_image': '360.151', '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': '12.4'}
  • id: 75246080
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '30.f1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '96.230', 'aut_weyl_index': 320, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '10.c1.a1', '15.b1.a1'], 'contains': ['60.d1.a1', '60.f1.a1', '60.j1.b1', '90.b1.a1'], 'core': '60.d1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5772, -1, 5746, -1, 5612, -1, 5066, -1], 'generators': [601, 960, 12, 722, 720], 'label': '1440.2870.30.f1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.f1.a1', 'projective_image': '360.151', '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': '24.14'}
  • id: 75246081
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '30.f1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '96.230', 'aut_weyl_index': 320, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '10.c1.b1', '15.b1.a1'], 'contains': ['60.d1.a1', '60.f1.b1', '60.j1.a1', '90.b1.b1'], 'core': '60.d1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5772, -1, 4150, -1, 5612, -1, 5200, -1], 'generators': [601, 960, 900, 722, 720], 'label': '1440.2870.30.f1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.f1.b1', 'projective_image': '360.151', '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': '24.14'}
  • id: 75246082
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '30.g1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '192.1147', 'aut_weyl_index': 160, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '10.d1.a1', '15.b1.a1'], 'contains': ['60.b1.a1', '60.f1.a1', '60.f1.b1', '60.p1.a1', '60.p1.b1', '60.p1.c1', '60.p1.d1', '90.c1.a1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9216, -1, 7169, -1, 9258, -1, 2408, -1], 'generators': [2, 960, 12, 360, 720], 'label': '1440.2870.30.g1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.g1.a1', 'projective_image': '360.151', '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': '24.14'}
  • id: 75246083
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '30.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.51', 'aut_weyl_index': 960, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.j1.a1', '10.a1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.g1.a1', '60.h1.a1', '90.d1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7981, -1, 4682, -1, 7801, -1, 4461, -1], 'generators': [1, 720, 360, 8, 2], 'label': '1440.2870.30.h1.a1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '30.h1.a1', 'projective_image': '120.42', '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': '2.1'}
  • id: 75246084
    {'ambient': '1440.2870', 'aut_centralizer_order': 96, 'aut_label': '30.i1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '64.202', 'aut_weyl_index': 480, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '10.e1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.i1.a1', '60.i1.b1', '90.e1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [6856, -1, 4006, -1, 6270, -1, 5370, -1], 'generators': [15, 720, 360, 8, 2], 'label': '1440.2870.30.i1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.i1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246085
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1920.204530', 'aut_weyl_index': 16, 'centralizer': '120.a1.a1', 'complements': ['360.d1.a1', '360.d1.b1', '360.g1.a1', '360.e1.a1', '360.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.a1', '8.c1.b1', '8.d1.a1', '12.h1.a1', '12.p1.a1', '20.g1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9366, 2884, 8956, 9381, 9536, 579, 1688, 8683], 'generators': [12, 288, 8, 720, 360, 960], 'label': '1440.2870.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['8.c1.a1', '8.c1.b1', '8.d1.a1', '12.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '240.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246086
    {'ambient': '1440.2870', 'aut_centralizer_order': 96, 'aut_label': '30.j1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '64.202', 'aut_weyl_index': 480, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '10.e1.a1', '15.b1.a1'], 'contains': ['60.b1.a1', '60.j1.a1', '60.j1.b1', '90.e1.a1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7083, -1, 3885, -1, 6459, -1, 5551, -1], 'generators': [15, 720, 360, 960, 2], 'label': '1440.2870.30.j1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.j1.a1', 'projective_image': '360.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.j1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 75246087
    {'ambient': '1440.2870', 'aut_centralizer_order': 48, 'aut_label': '30.k1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '64.202', 'aut_weyl_index': 480, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.k1.a1', '10.e1.a1'], 'contains': ['60.k1.a1', '60.l1.a1', '60.l1.b1', '90.e1.a1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [6041, -1, 3495, -1, 6080, -1, 5656, -1], 'generators': [15, 720, 360, 968, 2], 'label': '1440.2870.30.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.e1.a1', 'old_label': '30.k1.a1', 'projective_image': '360.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.k1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246088
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '4.b1.a1', 'complements': ['45.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.d1.a1', '16.d1.b1', '16.d1.c1', '16.d1.d1'], 'contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '160.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2191, 5491, 6368, 4114, 3491, 5770, 3523, 3472], 'generators': [8, 288, 960], 'label': '1440.2870.32.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.c1.a1', '16.b1.a1'], 'normal_contains': ['96.a1.a1', '96.b1.a1', '160.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '480.504', 'quotient_action_image': '4.2', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246089
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '36.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '12.d1.a1', '12.l1.a1', '18.a1.a1', '18.d1.a1', '18.e1.a1'], 'contains': ['72.a1.a1', '72.b1.a1', '72.b1.b1', '180.a1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8234, 499, 5983, 6180, 7804, 2723, 2596, 5782], 'generators': [2, 288, 720, 360], 'label': '1440.2870.36.a1.a1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '36.a1.a1', 'normal_contained_in': ['12.b1.a1', '12.d1.a1', '18.a1.a1'], 'normal_contains': ['72.a1.a1', '72.b1.b1', '72.b1.a1', '180.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.a1.a1', 'projective_image': '360.151', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.3', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246090
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '36.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '20.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '12.g1.a1', '12.m1.a1', '18.a1.a1', '18.b1.a1', '18.c1.b1'], 'contains': ['72.a1.a1', '72.e1.a1', '180.e1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3874, 1926, 3327, 4635, 3000, 4496, 5781, 4668], 'generators': [15, 2, 288, 720], 'label': '1440.2870.36.b1.a1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '36.b1.a1', 'normal_contained_in': ['12.c1.a1', '12.g1.a1', '18.a1.a1'], 'normal_contains': ['72.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.b1.a1', 'projective_image': '360.151', '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': '20.4'}
  • id: 75246091
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '36.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '20.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.b1', '12.g1.b1', '12.m1.b1', '18.a1.a1', '18.b1.b1', '18.c1.a1'], 'contains': ['72.a1.a1', '72.e1.b1', '180.e1.b1'], 'core': '36.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3874, 1926, 3672, 5163, 3000, 4496, 6608, 3919], 'generators': [1381, 2, 288, 720], 'label': '1440.2870.36.b1.b1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '36.b1.b1', 'normal_contained_in': ['12.c1.b1', '12.g1.b1', '18.a1.a1'], 'normal_contains': ['72.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.b1.b1', 'projective_image': '360.151', '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': '20.4'}
  • id: 75246092
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '36.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '12.i1.a1', '18.b1.a1', '18.c1.a1', '18.d1.a1'], 'contains': ['72.a1.a1', '72.c1.a1', '72.f1.a1', '72.h1.a1', '72.h1.c1', '180.b1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3484, -1, 6738, -1, 5308, -1, 3442, -1], 'generators': [2, 720, 288, 12], 'label': '1440.2870.36.c1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.c1.a1', 'projective_image': '360.151', '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': '20.4'}
  • id: 75246093
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '36.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.b1', '12.i1.b1', '18.b1.b1', '18.c1.b1', '18.d1.a1'], 'contains': ['72.a1.a1', '72.c1.b1', '72.f1.b1', '72.h1.b1', '72.h1.d1', '180.b1.b1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3484, -1, 4969, -1, 5308, -1, 4547, -1], 'generators': [2, 720, 288, 900], 'label': '1440.2870.36.c1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.c1.b1', 'projective_image': '360.151', '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': '20.4'}
  • id: 75246094
    {'ambient': '1440.2870', 'aut_centralizer_order': 640, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '12.j1.a1', '18.b1.a1', '18.b1.b1', '18.e1.a1'], 'contains': ['72.a1.a1', '72.d1.a1', '72.d1.b1', '180.c1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2842, -1, 1470, -1, 3919, -1, 6398, -1], 'generators': [1, 288, 2, 720], 'label': '1440.2870.36.d1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.d1.a1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246095
    {'ambient': '1440.2870', 'aut_centralizer_order': 640, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '12.k1.a1', '18.c1.a1', '18.c1.b1', '18.e1.a1'], 'contains': ['72.a1.a1', '72.g1.a1', '180.d1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6487, -1, 4695, -1, 7152, -1, 5214, -1], 'generators': [601, 288, 722, 720], 'label': '1440.2870.36.e1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.e1.a1', 'projective_image': '360.151', '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: 75246096
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1920.204530', 'aut_weyl_index': 16, 'centralizer': '120.a1.a1', 'complements': ['360.d1.a1', '360.d1.b1', '360.e1.a1', '360.g1.a1', '360.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.a1', '8.c1.d1', '8.d1.b1', '12.h1.b1', '12.p1.b1', '20.g1.b1'], 'core': '4.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9366, 2884, 8558, 8825, 9536, 579, 1112, 7938], 'generators': [362, 288, 8, 720, 12, 960], 'label': '1440.2870.4.f1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.f1.b1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['8.c1.a1', '8.c1.d1', '8.d1.b1', '12.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.b1', 'projective_image': '240.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.f1.b1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246097
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.a1', '12.o1.a1', '18.b1.a1'], 'contains': ['72.c1.a1', '72.d1.a1', '72.e1.a1', '180.f1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [772, -1, 85, -1, 820, -1, 7445, -1], 'generators': [1, 2, 288, 12], 'label': '1440.2870.36.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '36.f1.a1', 'projective_image': '720.601', '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': '10.1'}
  • id: 75246098
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.b1', '12.o1.b1', '18.b1.a1'], 'contains': ['72.c1.a1', '72.d1.b1', '72.e1.a1', '180.f1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [772, -1, 392, -1, 820, -1, 7638, -1], 'generators': [721, 2, 288, 12], 'label': '1440.2870.36.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '36.f1.b1', 'projective_image': '720.601', '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': '10.1'}
  • id: 75246099
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.c1', '12.o1.c1', '18.b1.b1'], 'contains': ['72.c1.b1', '72.d1.a1', '72.e1.b1', '180.f1.c1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [772, -1, 1829, -1, 820, -1, 9389, -1], 'generators': [961, 2, 288, 900], 'label': '1440.2870.36.f1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '36.f1.c1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.f1.c1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246100
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '80.50', 'aut_weyl_index': 384, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.d1', '12.o1.d1', '18.b1.b1'], 'contains': ['72.c1.b1', '72.d1.b1', '72.e1.b1', '180.f1.d1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [772, -1, 2518, -1, 820, -1, 9477, -1], 'generators': [241, 2, 288, 900], 'label': '1440.2870.36.f1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '36.f1.d1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.f1.d1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246101
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '160.207', 'aut_weyl_index': 192, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1', '12.p1.a1', '18.d1.a1'], 'contains': ['72.b1.a1', '72.h1.a1', '72.h1.b1', '180.g1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9539, -1, 9162, -1, 8957, -1, 1763, -1], 'generators': [12, 720, 288, 360], 'label': '1440.2870.36.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.g1.a1', 'projective_image': '720.608', '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': '20.4'}
  • id: 75246102
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '160.207', 'aut_weyl_index': 192, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.b1', '12.p1.b1', '18.d1.a1'], 'contains': ['72.b1.b1', '72.h1.a1', '72.h1.d1', '180.g1.b1'], 'core': '72.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9539, -1, 8322, -1, 8957, -1, 525, -1], 'generators': [362, 720, 288, 12], 'label': '1440.2870.36.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.g1.b1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246103
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '160.207', 'aut_weyl_index': 192, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.c1', '12.p1.c1', '18.d1.a1'], 'contains': ['72.b1.b1', '72.h1.b1', '72.h1.c1', '180.g1.c1'], 'core': '72.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9539, -1, 9956, -1, 8957, -1, 356, -1], 'generators': [362, 720, 288, 900], 'label': '1440.2870.36.g1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.g1.c1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1.c1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246104
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '160.207', 'aut_weyl_index': 192, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.d1', '12.p1.d1', '18.d1.a1'], 'contains': ['72.b1.a1', '72.h1.c1', '72.h1.d1', '180.g1.d1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9539, -1, 7836, -1, 8957, -1, 2101, -1], 'generators': [14, 720, 288, 360], 'label': '1440.2870.36.g1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.g1.d1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1.d1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246105
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '40.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '2.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.a1', '20.c1.a1', '20.d1.a1', '20.d1.b1', '20.e1.a1', '20.e1.b1'], 'contains': ['80.a1.a1', '80.b1.a1', '80.c1.a1', '120.a1.a1', '120.b1.a1', '120.f1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5133, 7583, 4693, 3067, 5172, 6712, 4826, 2896], 'generators': [2, 720, 8, 960], 'label': '1440.2870.40.a1.a1', 'mobius_quo': 2, 'mobius_sub': 40, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.a1', '20.c1.a1'], 'normal_contains': ['80.a1.a1', '80.c1.a1', '80.b1.a1', '120.a1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '120.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.4', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246106
    {'ambient': '1440.2870', 'aut_centralizer_order': 640, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '6.d1.a1', 'complements': ['36.g1.a1', '36.g1.d1', '36.g1.b1', '36.g1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '20.b1.a1', '20.f1.a1', '20.f1.c1'], 'contains': ['80.a1.a1', '120.c1.a1', '120.i1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1460, 9646, 1319, 1923, 1620, 9556, 8504, 349], 'generators': [1, 8, 2, 960], 'label': '1440.2870.40.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': ['8.b1.a1', '20.b1.a1'], 'normal_contains': ['80.a1.a1', '120.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.a1', 'projective_image': '240.137', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246107
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '120.a1.a1', 'complements': ['720.d1.b1', '720.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.e1.a1', '4.g1.a1', '4.g1.b1', '6.a1.a1', '6.g1.a1', '10.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4121, 4578, 1719, 3504, 3746, 5625, 6339, 4770], 'generators': [1, 960, 720, 8, 12, 288, 2], 'label': '1440.2870.2.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.c1.a1', '4.e1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '120.42', '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': '120.42'}
  • id: 75246108
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1920.204530', 'aut_weyl_index': 16, 'centralizer': '120.a1.a1', 'complements': ['360.d1.a1', '360.d1.b1', '360.e1.b1', '360.g1.a1', '360.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.b1', '8.c1.c1', '8.d1.b1', '12.h1.c1', '12.p1.c1', '20.g1.c1'], 'core': '4.f1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9366, 2884, 9640, 7355, 9536, 579, 1008, 9055], 'generators': [362, 288, 8, 720, 900, 960], 'label': '1440.2870.4.f1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.f1.c1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['8.c1.b1', '8.c1.c1', '8.d1.b1', '12.h1.c1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.c1', 'projective_image': '240.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.f1.c1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246109
    {'ambient': '1440.2870', 'aut_centralizer_order': 640, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '6.d1.a1', 'complements': ['36.g1.a1', '36.g1.d1', '36.g1.b1', '36.g1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '20.b1.a1', '20.f1.b1', '20.f1.d1'], 'contains': ['80.a1.a1', '120.c1.b1', '120.i1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1460, 9646, 1439, 1395, 1620, 9556, 8713, 728], 'generators': [241, 8, 2, 960], 'label': '1440.2870.40.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1.b1', 'normal_contained_in': ['8.b1.b1', '20.b1.a1'], 'normal_contains': ['80.a1.a1', '120.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.b1', 'projective_image': '240.137', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.b1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246110
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '40.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': ['36.f1.a1', '36.f1.b1', '36.f1.c1', '36.f1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '20.a1.a1', '20.g1.a1', '20.g1.d1'], 'contains': ['80.c1.a1', '120.d1.a1', '120.e1.a1', '120.s1.a1'], 'core': '40.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9764, 2237, 8496, 6949, 9100, 1547, 1494, 6522], 'generators': [360, 8, 960, 720], 'label': '1440.2870.40.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': ['8.d1.a1', '20.a1.a1'], 'normal_contains': ['80.c1.a1', '120.d1.a1', '120.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.c1.a1', 'projective_image': '240.144', 'quotient_action_image': '4.2', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '40.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246111
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '40.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': ['36.f1.a1', '36.f1.b1', '36.f1.c1', '36.f1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '20.a1.a1', '20.g1.b1', '20.g1.c1'], 'contains': ['80.c1.a1', '120.d1.b1', '120.e1.b1', '120.s1.b1'], 'core': '40.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9764, 2237, 9337, 6425, 9100, 1547, 276, 6152], 'generators': [362, 8, 960, 720], 'label': '1440.2870.40.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.c1.b1', 'normal_contained_in': ['8.d1.b1', '20.a1.a1'], 'normal_contains': ['80.c1.a1', '120.d1.b1', '120.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '40.c1.b1', 'projective_image': '240.144', 'quotient_action_image': '4.2', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '40.c1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246112
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '20.d1.a1', '20.f1.a1', '20.f1.b1'], 'contains': ['80.a1.a1', '80.d1.a1', '80.d1.c1', '120.g1.a1', '120.h1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [2525, -1, 870, -1, 2232, -1, 6790, -1], 'generators': [2, 12, 8, 960], 'label': '1440.2870.40.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '40.d1.a1', 'projective_image': '240.137', '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': '6.1'}
  • id: 75246113
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '20.d1.b1', '20.f1.c1', '20.f1.d1'], 'contains': ['80.a1.a1', '80.d1.b1', '80.d1.d1', '120.g1.b1', '120.h1.b1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [2525, -1, 2412, -1, 2232, -1, 8353, -1], 'generators': [2, 900, 8, 960], 'label': '1440.2870.40.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '40.d1.b1', 'projective_image': '240.137', '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': '6.1'}
  • id: 75246114
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '20.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '20.e1.a1', '20.f1.a1', '20.f1.b1'], 'contains': ['80.a1.a1', '120.j1.a1', '120.k1.a1', '120.l1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [2148, -1, 713, -1, 650, -1, 7904, -1], 'generators': [15, 8, 960, 2], 'label': '1440.2870.40.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '40.e1.a1', 'projective_image': '240.137', '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': '2.1'}
  • id: 75246115
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '20.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '20.e1.b1', '20.f1.c1', '20.f1.d1'], 'contains': ['80.a1.a1', '120.j1.b1', '120.k1.b1', '120.l1.b1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [2148, -1, 1986, -1, 650, -1, 9742, -1], 'generators': [1381, 8, 960, 2], 'label': '1440.2870.40.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '40.e1.b1', 'projective_image': '240.137', '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': '2.1'}
  • id: 75246116
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '20.d1.a1'], 'contains': ['80.b1.a1', '80.d1.a1', '80.d1.c1', '120.m1.a1', '120.n1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3265, -1, 7248, -1, 2828, -1, 3088, -1], 'generators': [722, 12, 8, 960], 'label': '1440.2870.40.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '40.f1.a1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246117
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.b1', '20.d1.b1'], 'contains': ['80.b1.a1', '80.d1.b1', '80.d1.d1', '120.m1.b1', '120.n1.b1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3265, -1, 5306, -1, 2828, -1, 3928, -1], 'generators': [722, 900, 8, 960], 'label': '1440.2870.40.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '40.f1.b1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246118
    {'ambient': '1440.2870', 'aut_centralizer_order': 640, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '12.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '20.c1.a1'], 'contains': ['80.b1.a1', '120.o1.a1', '120.p1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6121, -1, 6462, -1, 6965, -1, 4239, -1], 'generators': [601, 8, 722, 960], 'label': '1440.2870.40.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '40.g1.a1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.g1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246119
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1920.204530', 'aut_weyl_index': 16, 'centralizer': '120.a1.a1', 'complements': ['360.d1.a1', '360.d1.b1', '360.g1.a1', '360.e1.a1', '360.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.c1', '8.c1.d1', '8.d1.a1', '12.h1.d1', '12.p1.d1', '20.g1.d1'], 'core': '4.f1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9366, 2884, 8294, 8141, 9536, 579, 1896, 8310], 'generators': [14, 288, 8, 720, 360, 960], 'label': '1440.2870.4.f1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.f1.d1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['8.c1.c1', '8.c1.d1', '8.d1.a1', '12.h1.d1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.d1', 'projective_image': '240.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.f1.d1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246120
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '20.d1.a1', '20.g1.a1', '20.g1.b1'], 'contains': ['80.c1.a1', '80.d1.a1', '120.q1.a1', '120.r1.a1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7418, -1, 8764, -1, 6215, -1, 1228, -1], 'generators': [12, 720, 8, 960], 'label': '1440.2870.40.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.h1.a1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246121
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '20.d1.b1', '20.g1.a1', '20.g1.c1'], 'contains': ['80.c1.a1', '80.d1.b1', '120.q1.b1', '120.r1.b1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7418, -1, 9449, -1, 6215, -1, 1142, -1], 'generators': [900, 720, 8, 960], 'label': '1440.2870.40.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.h1.b1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246122
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.c1', '20.d1.a1', '20.g1.c1', '20.g1.d1'], 'contains': ['80.c1.a1', '80.d1.c1', '120.q1.c1', '120.r1.c1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7418, -1, 8980, -1, 6215, -1, 1313, -1], 'generators': [14, 720, 8, 960], 'label': '1440.2870.40.h1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.h1.c1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1.c1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246123
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.d1', '20.d1.b1', '20.g1.b1', '20.g1.d1'], 'contains': ['80.c1.a1', '80.d1.d1', '120.q1.d1', '120.r1.d1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7418, -1, 8047, -1, 6215, -1, 1589, -1], 'generators': [902, 720, 8, 960], 'label': '1440.2870.40.h1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '40.h1.d1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246124
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '45.a1', 'aut_quo_index': None, 'aut_stab_index': 15, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 240, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '15.a1.a1', '15.b1.a1'], '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': 15, 'diagramx': [7140, -1, 3935, -1, 7446, -1, 5273, -1], 'generators': [1, 12, 360], 'label': '1440.2870.45.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '45.a1.a1', 'projective_image': '360.151', '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': '4.2'}
  • id: 75246125
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.h1.a1', '24.h1.b1', '24.j1.a1', '24.j1.b1', '24.k1.a1', '24.k1.b1'], 'contains': ['96.a1.a1', '144.a1.a1', '240.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [83, 5655, 1138, 4534, 1907, 7206, 7710, 3958], 'generators': [2, 288, 8], 'label': '1440.2870.48.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': '240.137', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.5', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246126
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '48.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.b1.a1', '24.c1.a1', '24.c1.b1', '24.i1.a1', '24.i1.b1', '24.l1.a1', '24.l1.b1'], 'contains': ['96.b1.a1', '144.a1.a1', '240.b1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1094, 7019, 498, 2608, 2006, 7524, 8332, 2569], 'generators': [2, 288, 960], 'label': '1440.2870.48.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.a1.a1', '24.b1.a1', '24.c1.b1', '24.c1.a1'], 'normal_contains': ['96.b1.a1', '144.a1.a1', '240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '720.601', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246127
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '48.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1', '24.n1.a1', '24.n1.b1', '24.p1.a1'], 'contains': ['96.a1.a1', '144.b1.a1', '240.c1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3114, 4119, 6242, 5647, 4279, 4997, 4060, 4157], 'generators': [722, 288, 8], 'label': '1440.2870.48.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.b1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1', '144.b1.a1', '240.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': '240.130', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.5', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246128
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '48.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.b1.a1', '24.o1.a1', '24.o1.b1', '24.q1.a1'], 'contains': ['96.b1.a1', '144.b1.a1', '240.d1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3000, 6420, 5888, 3977, 4378, 5315, 4288, 3758], 'generators': [722, 288, 960], 'label': '1440.2870.48.d1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '48.d1.a1', 'normal_contained_in': ['16.b1.a1', '24.b1.a1'], 'normal_contains': ['96.b1.a1', '144.b1.a1', '240.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.d1.a1', 'projective_image': '720.594', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246129
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '48.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.a1.a1', '24.e1.a1', '24.e1.b1', '24.r1.a1', '24.r1.b1', '24.r1.c1', '24.r1.d1'], 'contains': ['96.a1.a1', '144.c1.a1', '240.e1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7305, 1914, 9851, 7637, 5788, 2297, 1385, 6608], 'generators': [720, 288, 8], 'label': '1440.2870.48.e1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '48.e1.a1', 'normal_contained_in': ['16.c1.a1', '24.a1.a1', '24.e1.b1', '24.e1.a1'], 'normal_contains': ['96.a1.a1', '144.c1.a1', '240.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.e1.a1', 'projective_image': '240.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.7', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246130
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '960.11377', 'aut_weyl_index': 32, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.e1.a1', '8.f1.a1', '12.n1.a1', '12.o1.a1', '20.f1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1256, -1, 428, -1, 1504, -1, 8005, -1], 'generators': [1, 288, 8, 2, 12, 960], 'label': '1440.2870.4.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': '240.137', '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': '60.8'}
  • id: 75246131
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '48.f1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.b1.a1', '24.d1.a1', '24.d1.b1', '24.d1.c1', '24.d1.d1', '24.f1.a1', '24.f1.b1'], 'contains': ['96.b1.a1', '144.c1.a1', '240.f1.a1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7824, 4783, 8885, 8685, 5969, 2615, 2021, 7407], 'generators': [720, 288, 960], 'label': '1440.2870.48.f1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '48.f1.a1', 'normal_contained_in': ['16.c1.a1', '24.b1.a1', '24.d1.a1', '24.d1.b1', '24.d1.c1', '24.d1.d1', '24.f1.b1', '24.f1.a1'], 'normal_contains': ['96.b1.a1', '144.c1.a1', '240.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.f1.a1', 'projective_image': '720.608', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246132
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.g1.a1', '24.m1.a1', '24.m1.b1'], 'contains': ['96.c1.a1', '144.a1.a1', '240.g1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [340, -1, 1961, -1, 1807, -1, 8276, -1], 'generators': [2, 288, 968], 'label': '1440.2870.48.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '48.g1.a1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246133
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.g1.a1'], 'contains': ['96.c1.a1', '144.b1.a1', '240.h1.a1'], 'core': '144.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3351, -1, 4946, -1, 4478, -1, 4447, -1], 'generators': [722, 288, 968], 'label': '1440.2870.48.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '48.h1.a1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246134
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.g1.a1', '24.s1.a1', '24.s1.b1'], 'contains': ['96.c1.a1', '144.c1.a1', '240.i1.a1'], 'core': '144.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7488, -1, 6916, -1, 6069, -1, 2448, -1], 'generators': [720, 288, 968], 'label': '1440.2870.48.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '48.i1.a1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246135
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.h1.a1', '24.n1.a1', '24.r1.a1'], 'contains': ['96.a1.a1', '144.d1.a1', '240.j1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1878, -1, 7621, -1, 3067, -1, 3188, -1], 'generators': [12, 288, 8], 'label': '1440.2870.48.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': '48.j1.a1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246136
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '24.h1.b1', '24.n1.b1', '24.r1.b1'], 'contains': ['96.a1.a1', '144.d1.b1', '240.j1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1878, -1, 5523, -1, 3067, -1, 3705, -1], 'generators': [900, 288, 8], 'label': '1440.2870.48.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '48.j1.b1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246137
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.c1', '24.h1.a1', '24.n1.a1', '24.r1.c1'], 'contains': ['96.a1.a1', '144.d1.c1', '240.j1.c1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1878, -1, 7470, -1, 3067, -1, 2816, -1], 'generators': [14, 288, 8], 'label': '1440.2870.48.j1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '48.j1.c1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1.c1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246138
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.d1', '24.h1.b1', '24.n1.b1', '24.r1.d1'], 'contains': ['96.a1.a1', '144.d1.d1', '240.j1.d1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1878, -1, 5080, -1, 3067, -1, 3618, -1], 'generators': [902, 288, 8], 'label': '1440.2870.48.j1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '48.j1.d1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1.d1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246139
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '120.36', 'aut_weyl_index': 256, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.d1.a1', '24.i1.a1', '24.o1.a1'], 'contains': ['96.b1.a1', '144.d1.a1', '240.k1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2003, -1, 7380, -1, 3195, -1, 3391, -1], 'generators': [12, 288, 960], 'label': '1440.2870.48.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.k1.a1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.a1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246140
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '120.36', 'aut_weyl_index': 256, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '24.d1.b1', '24.i1.b1', '24.o1.b1'], 'contains': ['96.b1.a1', '144.d1.b1', '240.k1.b1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2003, -1, 5589, -1, 3195, -1, 4004, -1], 'generators': [900, 288, 960], 'label': '1440.2870.48.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '48.k1.b1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.b1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246141
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '960.11377', 'aut_weyl_index': 32, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.b1', '8.e1.a1', '8.f1.a1', '12.n1.b1', '12.o1.b1', '20.f1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1256, -1, 623, -1, 1504, -1, 8127, -1], 'generators': [241, 288, 8, 2, 12, 960], 'label': '1440.2870.4.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.g1.b1', 'projective_image': '240.137', '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': '60.8'}
  • id: 75246142
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '120.36', 'aut_weyl_index': 256, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.c1', '24.d1.c1', '24.i1.a1', '24.o1.a1'], 'contains': ['96.b1.a1', '144.d1.c1', '240.k1.c1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2003, -1, 7290, -1, 3195, -1, 2973, -1], 'generators': [14, 288, 960], 'label': '1440.2870.48.k1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.k1.c1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.c1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246143
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '120.36', 'aut_weyl_index': 256, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.d1', '24.d1.d1', '24.i1.b1', '24.o1.b1'], 'contains': ['96.b1.a1', '144.d1.d1', '240.k1.d1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2003, -1, 5237, -1, 3195, -1, 3948, -1], 'generators': [902, 288, 960], 'label': '1440.2870.48.k1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '48.k1.d1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.d1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246144
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '20.a1.a1', '30.d1.a1', '30.h1.a1', '30.i1.a1'], 'contains': ['120.a1.a1', '120.d1.a1', '120.d1.b1', '180.a1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8273, 921, 6745, 6203, 8174, 3312, 2493, 5412], 'generators': [2, 360, 8, 720], 'label': '1440.2870.60.a1.a1', 'mobius_quo': 0, 'mobius_sub': 30, 'normal_closure': '60.a1.a1', 'normal_contained_in': ['12.b1.a1', '20.a1.a1'], 'normal_contains': ['120.a1.a1', '120.d1.b1', '120.d1.a1', '180.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.a1.a1', 'projective_image': '120.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.1', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246145
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '60.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '20.a1.a1', '30.a1.a1', '30.g1.a1', '30.j1.a1'], 'contains': ['120.b1.a1', '120.e1.a1', '120.e1.b1', '180.a1.a1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9111, 3262, 6466, 3551, 8358, 3900, 2699, 5043], 'generators': [2, 360, 960, 720], 'label': '1440.2870.60.b1.a1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '60.b1.a1', 'normal_contained_in': ['12.d1.a1', '20.a1.a1', '30.a1.a1'], 'normal_contains': ['120.b1.a1', '120.e1.b1', '120.e1.a1', '180.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.b1.a1', 'projective_image': '360.151', 'quotient_action_image': '4.2', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '60.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246146
    {'ambient': '1440.2870', 'aut_centralizer_order': 1280, 'aut_label': '60.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '6.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '20.b1.a1', '30.a1.a1', '30.e1.a1', '30.e1.b1'], 'contains': ['120.b1.a1', '120.c1.a1', '120.c1.b1', '180.c1.a1'], 'core': '60.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4084, 9420, 2816, 1160, 4291, 8351, 6502, 1865], 'generators': [1, 720, 2, 960], 'label': '1440.2870.60.c1.a1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '60.c1.a1', 'normal_contained_in': ['12.e1.a1', '20.b1.a1', '30.a1.a1'], 'normal_contains': ['120.b1.a1', '120.c1.b1', '120.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.c1.a1', 'projective_image': '360.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246147
    {'ambient': '1440.2870', 'aut_centralizer_order': 1280, 'aut_label': '60.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '20.c1.a1', '30.a1.a1', '30.f1.a1', '30.f1.b1'], 'contains': ['120.b1.a1', '120.p1.a1', '180.d1.a1'], 'core': '60.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6053, 8599, 4698, 694, 7524, 7159, 5318, 2614], 'generators': [601, 720, 722, 960], 'label': '1440.2870.60.d1.a1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '60.d1.a1', 'normal_contained_in': ['12.f1.a1', '20.c1.a1', '30.a1.a1'], 'normal_contains': ['120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.d1.a1', 'projective_image': '360.151', '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': '12.4'}
  • id: 75246148
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.a1', '20.d1.a1', '30.b1.a1', '30.c1.a1', '30.d1.a1'], 'contains': ['120.a1.a1', '120.g1.a1', '120.m1.a1', '120.q1.a1', '120.q1.c1', '180.b1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [4559, -1, 7156, -1, 5487, -1, 3342, -1], 'generators': [2, 12, 720, 8], 'label': '1440.2870.60.e1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '60.e1.a1', 'projective_image': '120.42', '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': '2.1'}
  • id: 75246149
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.b1', '20.d1.b1', '30.b1.b1', '30.c1.b1', '30.d1.a1'], 'contains': ['120.a1.a1', '120.g1.b1', '120.m1.b1', '120.q1.b1', '120.q1.d1', '180.b1.b1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [4559, -1, 4816, -1, 5487, -1, 4447, -1], 'generators': [2, 900, 720, 8], 'label': '1440.2870.60.e1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '60.e1.b1', 'projective_image': '120.42', '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': '2.1'}
  • id: 75246150
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.d1.a1', '30.e1.a1', '30.f1.a1', '30.g1.a1'], 'contains': ['120.b1.a1', '120.h1.a1', '120.n1.a1', '120.r1.a1', '120.r1.c1', '180.b1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [4909, -1, 6561, -1, 5665, -1, 3541, -1], 'generators': [2, 12, 720, 960], 'label': '1440.2870.60.f1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.f1.a1', 'projective_image': '360.151', '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': '12.4'}
  • id: 75246151
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.b1', '20.d1.b1', '30.e1.b1', '30.f1.b1', '30.g1.a1'], 'contains': ['120.b1.a1', '120.h1.b1', '120.n1.b1', '120.r1.b1', '120.r1.d1', '180.b1.b1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [4909, -1, 4909, -1, 5665, -1, 4647, -1], 'generators': [2, 900, 720, 960], 'label': '1440.2870.60.f1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.f1.b1', 'projective_image': '360.151', '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': '12.4'}
  • id: 75246152
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '960.11377', 'aut_weyl_index': 32, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1'], 'contains': ['8.b1.a1', '8.e1.b1', '8.f1.b1', '12.n1.c1', '12.o1.c1', '20.f1.c1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1256, -1, 1883, -1, 1504, -1, 8831, -1], 'generators': [1, 288, 8, 2, 900, 960], 'label': '1440.2870.4.g1.c1', '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.c1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.c1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246153
    {'ambient': '1440.2870', 'aut_centralizer_order': 1280, 'aut_label': '60.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '3.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1.a1', '20.b1.a1', '30.b1.a1', '30.b1.b1', '30.h1.a1'], 'contains': ['120.a1.a1', '120.i1.a1', '120.i1.b1', '180.c1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3775, -1, 2717, -1, 4104, -1, 6191, -1], 'generators': [1, 720, 8, 2], 'label': '1440.2870.60.g1.a1', 'mobius_quo': None, 'mobius_sub': 10, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '60.g1.a1', 'projective_image': '120.42', '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': '1.1'}
  • id: 75246154
    {'ambient': '1440.2870', 'aut_centralizer_order': 1280, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1.a1', '20.c1.a1', '30.c1.a1', '30.c1.b1', '30.h1.a1'], 'contains': ['120.a1.a1', '120.o1.a1', '180.d1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6650, -1, 5935, -1, 7337, -1, 5111, -1], 'generators': [601, 720, 8, 722], 'label': '1440.2870.60.h1.a1', 'mobius_quo': None, 'mobius_sub': 10, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '60.h1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246155
    {'ambient': '1440.2870', 'aut_centralizer_order': 384, 'aut_label': '60.i1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '20.e1.a1', '30.b1.a1', '30.c1.b1', '30.i1.a1'], 'contains': ['120.a1.a1', '120.j1.a1', '180.e1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5478, -1, 3190, -1, 3372, -1, 5676, -1], 'generators': [15, 720, 8, 2], 'label': '1440.2870.60.i1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.i1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246156
    {'ambient': '1440.2870', 'aut_centralizer_order': 384, 'aut_label': '60.i1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '10.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.b1', '20.e1.b1', '30.b1.b1', '30.c1.a1', '30.i1.a1'], 'contains': ['120.a1.a1', '120.j1.b1', '180.e1.b1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5478, -1, 3666, -1, 3372, -1, 6295, -1], 'generators': [1381, 720, 8, 2], 'label': '1440.2870.60.i1.b1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.i1.b1', 'projective_image': '120.42', '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': '2.1'}
  • id: 75246157
    {'ambient': '1440.2870', 'aut_centralizer_order': 384, 'aut_label': '60.j1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '20.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '20.e1.a1', '30.e1.a1', '30.f1.b1', '30.j1.a1'], 'contains': ['120.b1.a1', '120.k1.a1', '180.e1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5702, -1, 3309, -1, 3556, -1, 5886, -1], 'generators': [15, 720, 960, 2], 'label': '1440.2870.60.j1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.j1.a1', 'projective_image': '360.151', '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': '4.2'}
  • id: 75246158
    {'ambient': '1440.2870', 'aut_centralizer_order': 384, 'aut_label': '60.j1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '20.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.b1', '20.e1.b1', '30.e1.b1', '30.f1.a1', '30.j1.a1'], 'contains': ['120.b1.a1', '120.k1.b1', '180.e1.b1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5702, -1, 3502, -1, 3556, -1, 6984, -1], 'generators': [1381, 720, 960, 2], 'label': '1440.2870.60.j1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.j1.b1', 'projective_image': '360.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.j1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246159
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '60.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.a1', '20.a1.a1', '30.k1.a1'], 'contains': ['120.f1.a1', '120.s1.a1', '120.s1.b1', '180.a1.a1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7726, -1, 4331, -1, 7989, -1, 2803, -1], 'generators': [2, 360, 968, 720], 'label': '1440.2870.60.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '60.k1.a1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246160
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '60.l1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '20.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.m1.a1', '20.e1.a1', '30.k1.a1'], 'contains': ['120.f1.a1', '120.l1.a1', '180.e1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [5254, -1, 3070, -1, 3187, -1, 5989, -1], 'generators': [15, 720, 968, 2], 'label': '1440.2870.60.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.e1.a1', 'old_label': '60.l1.a1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246161
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '60.l1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '20.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.m1.b1', '20.e1.b1', '30.k1.a1'], 'contains': ['120.f1.a1', '120.l1.b1', '180.e1.b1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [5254, -1, 3406, -1, 3187, -1, 7144, -1], 'generators': [1381, 720, 968, 2], 'label': '1440.2870.60.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.e1.a1', 'old_label': '60.l1.b1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246162
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.m1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.a1', '20.f1.a1', '30.b1.a1'], 'contains': ['120.g1.a1', '120.i1.a1', '120.j1.a1', '180.f1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1206, -1, 498, -1, 990, -1, 7247, -1], 'generators': [1, 12, 8, 2], 'label': '1440.2870.60.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '60.m1.a1', 'projective_image': '240.137', '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': '1.1'}
  • id: 75246163
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '960.11377', 'aut_weyl_index': 32, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1'], 'contains': ['8.b1.b1', '8.e1.b1', '8.f1.b1', '12.n1.d1', '12.o1.d1', '20.f1.d1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1256, -1, 2119, -1, 1504, -1, 8954, -1], 'generators': [241, 288, 8, 2, 900, 960], 'label': '1440.2870.4.g1.d1', '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.d1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.d1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246164
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.m1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.b1', '20.f1.b1', '30.b1.a1'], 'contains': ['120.g1.a1', '120.i1.b1', '120.j1.a1', '180.f1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1206, -1, 945, -1, 990, -1, 7350, -1], 'generators': [721, 12, 8, 2], 'label': '1440.2870.60.m1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '60.m1.b1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.m1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246165
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.m1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.c1', '20.f1.c1', '30.b1.b1'], 'contains': ['120.g1.b1', '120.i1.a1', '120.j1.b1', '180.f1.c1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1206, -1, 1857, -1, 990, -1, 9086, -1], 'generators': [961, 900, 8, 2], 'label': '1440.2870.60.m1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '60.m1.c1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.m1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246166
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.m1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3840, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.d1', '20.f1.d1', '30.b1.b1'], 'contains': ['120.g1.b1', '120.i1.b1', '120.j1.b1', '180.f1.d1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1206, -1, 2621, -1, 990, -1, 9295, -1], 'generators': [241, 900, 8, 2], 'label': '1440.2870.60.m1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '60.m1.d1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.m1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246167
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.n1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.o1.a1', '20.f1.a1', '30.e1.a1'], 'contains': ['120.c1.a1', '120.h1.a1', '120.k1.a1', '180.f1.a1'], 'core': '120.c1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1625, -1, 610, -1, 1159, -1, 7724, -1], 'generators': [1, 12, 2, 960], 'label': '1440.2870.60.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '60.n1.a1', 'projective_image': '720.601', '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: 75246168
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.n1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.o1.b1', '20.f1.b1', '30.e1.a1'], 'contains': ['120.c1.b1', '120.h1.a1', '120.k1.a1', '180.f1.b1'], 'core': '120.c1.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [1625, -1, 1169, -1, 1159, -1, 7809, -1], 'generators': [241, 12, 2, 960], 'label': '1440.2870.60.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '60.n1.b1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.n1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246169
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.n1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.o1.c1', '20.f1.c1', '30.e1.b1'], 'contains': ['120.c1.a1', '120.h1.b1', '120.k1.b1', '180.f1.c1'], 'core': '120.c1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1625, -1, 1768, -1, 1159, -1, 9563, -1], 'generators': [1, 900, 2, 960], 'label': '1440.2870.60.n1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '60.n1.c1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.n1.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246170
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.n1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1280, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.o1.d1', '20.f1.d1', '30.e1.b1'], 'contains': ['120.c1.b1', '120.h1.b1', '120.k1.b1', '180.f1.d1'], 'core': '120.c1.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [1625, -1, 2036, -1, 1159, -1, 9648, -1], 'generators': [241, 900, 2, 960], 'label': '1440.2870.60.n1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '60.n1.d1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.n1.d1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246171
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.o1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1920, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.p1.a1', '20.g1.a1', '30.d1.a1'], 'contains': ['120.d1.a1', '120.q1.a1', '120.q1.b1', '180.g1.a1'], 'core': '120.d1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [9554, -1, 9201, -1, 9270, -1, 653, -1], 'generators': [12, 360, 8, 720], 'label': '1440.2870.60.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '60.o1.a1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.o1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246172
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.o1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1920, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.p1.b1', '20.g1.b1', '30.d1.a1'], 'contains': ['120.d1.b1', '120.q1.a1', '120.q1.d1', '180.g1.b1'], 'core': '120.d1.b1', 'coset_action_label': None, 'count': 15, 'diagramx': [9554, -1, 8549, -1, 9270, -1, 181, -1], 'generators': [362, 12, 8, 720], 'label': '1440.2870.60.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '60.o1.b1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.o1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246173
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.o1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1920, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.p1.c1', '20.g1.c1', '30.d1.a1'], 'contains': ['120.d1.b1', '120.q1.b1', '120.q1.c1', '180.g1.c1'], 'core': '120.d1.b1', 'coset_action_label': None, 'count': 15, 'diagramx': [9554, -1, 9709, -1, 9270, -1, 38, -1], 'generators': [362, 900, 8, 720], 'label': '1440.2870.60.o1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '60.o1.c1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.o1.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246174
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '1536.408494467', 'aut_weyl_index': 20, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.b1.a1', '10.b1.b1', '10.c1.a1', '10.c1.b1', '10.d1.a1', '10.e1.a1', '15.a1.a1', '15.b1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7603, -1, 4306, -1, 7056, -1, 5186, -1], 'generators': [1, 720, 2, 12, 960, 360, 8], 'label': '1440.2870.5.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75246175
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.o1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1920, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.p1.d1', '20.g1.d1', '30.d1.a1'], 'contains': ['120.d1.a1', '120.q1.c1', '120.q1.d1', '180.g1.d1'], 'core': '120.d1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [9554, -1, 7822, -1, 9270, -1, 1056, -1], 'generators': [14, 360, 8, 720], 'label': '1440.2870.60.o1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '60.o1.d1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.o1.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246176
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.p1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '48.38', 'aut_weyl_index': 640, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1', '20.g1.a1', '30.g1.a1'], 'contains': ['120.e1.a1', '120.r1.a1', '120.r1.b1', '180.g1.a1'], 'core': '120.e1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9875, -1, 9133, -1, 9398, -1, 1819, -1], 'generators': [12, 360, 720, 960], 'label': '1440.2870.60.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.p1.a1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.p1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75246177
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.p1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '48.38', 'aut_weyl_index': 640, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.b1', '20.g1.b1', '30.g1.a1'], 'contains': ['120.e1.b1', '120.r1.a1', '120.r1.d1', '180.g1.b1'], 'core': '120.e1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [9875, -1, 8272, -1, 9398, -1, 581, -1], 'generators': [362, 12, 720, 960], 'label': '1440.2870.60.p1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.p1.b1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.p1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75246178
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.p1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '48.38', 'aut_weyl_index': 640, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.c1', '20.g1.c1', '30.g1.a1'], 'contains': ['120.e1.b1', '120.r1.b1', '120.r1.c1', '180.g1.c1'], 'core': '120.e1.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [9875, -1, 9568, -1, 9398, -1, 412, -1], 'generators': [362, 900, 720, 960], 'label': '1440.2870.60.p1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.p1.c1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.p1.c1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75246179
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '60.p1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '48.38', 'aut_weyl_index': 640, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.d1', '20.g1.d1', '30.g1.a1'], 'contains': ['120.e1.a1', '120.r1.c1', '120.r1.d1', '180.g1.d1'], 'core': '120.e1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9875, -1, 7733, -1, 9398, -1, 2157, -1], 'generators': [14, 360, 720, 960], 'label': '1440.2870.60.p1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '60.p1.d1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.p1.d1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75246180
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '72.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 7680, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '24.b1.a1', '24.g1.a1', '36.a1.a1', '36.b1.a1', '36.b1.b1', '36.c1.a1', '36.c1.b1', '36.d1.a1', '36.e1.a1'], 'contains': ['144.a1.a1', '144.b1.a1', '144.c1.a1', '360.a1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4026, 2562, 4458, 5189, 4775, 4052, 4834, 4752], 'generators': [2, 288, 720], 'label': '1440.2870.72.a1.a1', 'mobius_quo': -2, 'mobius_sub': -24, 'normal_closure': '72.a1.a1', 'normal_contained_in': ['24.a1.a1', '24.b1.a1', '36.a1.a1', '36.b1.b1', '36.b1.a1'], 'normal_contains': ['144.a1.a1', '144.c1.a1', '144.b1.a1', '360.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.a1.a1', 'projective_image': '360.151', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.12', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246181
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '72.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '2.d1.a1', 'complements': ['20.f1.a1', '20.f1.b1', '20.f1.c1', '20.f1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '24.f1.a1', '24.s1.a1', '36.a1.a1', '36.g1.a1', '36.g1.d1'], 'contains': ['144.c1.a1', '360.b1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9245, 362, 8152, 8390, 8557, 1345, 2077, 7008], 'generators': [360, 720, 288], 'label': '1440.2870.72.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.b1.a1', 'normal_contained_in': ['24.e1.a1', '24.f1.a1', '36.a1.a1'], 'normal_contains': ['144.c1.a1', '360.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.b1.a1', 'projective_image': '720.608', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.6', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246182
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '72.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '2.d1.a1', 'complements': ['20.f1.a1', '20.f1.b1', '20.f1.c1', '20.f1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['24.e1.b1', '24.f1.b1', '24.s1.b1', '36.a1.a1', '36.g1.b1', '36.g1.c1'], 'contains': ['144.c1.a1', '360.b1.b1'], 'core': '72.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9245, 362, 9267, 7898, 8557, 1345, 525, 6808], 'generators': [362, 720, 288], 'label': '1440.2870.72.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.b1.b1', 'normal_contained_in': ['24.e1.b1', '24.f1.b1', '36.a1.a1'], 'normal_contains': ['144.c1.a1', '360.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '72.b1.b1', 'projective_image': '720.608', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.6', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246183
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '24.i1.a1', '36.c1.a1', '36.f1.a1', '36.f1.b1'], 'contains': ['144.a1.a1', '144.d1.a1', '144.d1.c1', '360.c1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [881, -1, 226, -1, 2261, -1, 6819, -1], 'generators': [2, 288, 12], 'label': '1440.2870.72.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '72.c1.a1', 'projective_image': '720.601', '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': '10.1'}
  • id: 75246184
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.b1', '24.i1.b1', '36.c1.b1', '36.f1.c1', '36.f1.d1'], 'contains': ['144.a1.a1', '144.d1.b1', '144.d1.d1', '360.c1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [881, -1, 2600, -1, 2261, -1, 8220, -1], 'generators': [2, 288, 900], 'label': '1440.2870.72.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '72.c1.b1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.c1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246185
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1920.236168', 'aut_weyl_index': 16, 'centralizer': '120.a1.a1', 'complements': ['240.j1.b1', '240.j1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.e1.a1', '12.g1.a1', '12.o1.a1', '12.o1.b1', '18.b1.a1', '30.e1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3733, 6163, 1550, 3033, 3623, 6030, 6476, 4273], 'generators': [1, 288, 720, 2, 12, 960], 'label': '1440.2870.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.e1.a1', '12.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '360.151', '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': '120.42'}
  • id: 75246186
    {'ambient': '1440.2870', 'aut_centralizer_order': 640, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '24.j1.a1', '36.d1.a1', '36.f1.a1', '36.f1.c1'], 'contains': ['144.a1.a1', '360.d1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [756, -1, 1087, -1, 1467, -1, 8049, -1], 'generators': [1, 2, 288], 'label': '1440.2870.72.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.d1.a1', 'projective_image': '720.601', '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': '2.1'}
  • id: 75246187
    {'ambient': '1440.2870', 'aut_centralizer_order': 640, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.b1', '24.j1.b1', '36.d1.a1', '36.f1.b1', '36.f1.d1'], 'contains': ['144.a1.a1', '360.d1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [756, -1, 812, -1, 1467, -1, 8105, -1], 'generators': [241, 2, 288], 'label': '1440.2870.72.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.d1.b1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246188
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.a1', '24.l1.a1', '24.m1.a1', '36.b1.a1', '36.f1.a1', '36.f1.b1'], 'contains': ['144.a1.a1', '360.e1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [619, -1, 288, -1, 820, -1, 7542, -1], 'generators': [15, 288, 2], 'label': '1440.2870.72.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '72.e1.a1', 'projective_image': '720.601', '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': '10.1'}
  • id: 75246189
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.b1', '24.l1.b1', '24.m1.b1', '36.b1.b1', '36.f1.c1', '36.f1.d1'], 'contains': ['144.a1.a1', '360.e1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [619, -1, 2232, -1, 820, -1, 9352, -1], 'generators': [1381, 288, 2], 'label': '1440.2870.72.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '72.e1.b1', 'projective_image': '720.601', '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': '10.1'}
  • id: 75246190
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '72.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.n1.a1', '24.o1.a1', '36.c1.a1'], 'contains': ['144.b1.a1', '144.d1.a1', '144.d1.c1', '360.f1.a1'], 'core': '144.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2757, -1, 6833, -1, 3634, -1, 3116, -1], 'generators': [722, 288, 12], 'label': '1440.2870.72.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '72.f1.a1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.f1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246191
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '72.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.n1.b1', '24.o1.b1', '36.c1.b1'], 'contains': ['144.b1.a1', '144.d1.b1', '144.d1.d1', '360.f1.b1'], 'core': '144.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2757, -1, 5035, -1, 3634, -1, 4345, -1], 'generators': [722, 288, 900], 'label': '1440.2870.72.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '72.f1.b1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.f1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246192
    {'ambient': '1440.2870', 'aut_centralizer_order': 640, 'aut_label': '72.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.p1.a1', '24.q1.a1', '36.e1.a1'], 'contains': ['144.b1.a1', '360.g1.a1'], 'core': '144.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6363, -1, 5695, -1, 6697, -1, 4558, -1], 'generators': [601, 722, 288], 'label': '1440.2870.72.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.a1', 'old_label': '72.g1.a1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246193
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '72.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '24.r1.a1', '36.c1.a1', '36.g1.a1', '36.g1.b1'], 'contains': ['144.c1.a1', '144.d1.a1', '360.h1.a1'], 'core': '144.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7748, -1, 8460, -1, 5533, -1, 1771, -1], 'generators': [12, 288, 720], 'label': '1440.2870.72.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.h1.a1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.h1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246194
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '72.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.b1', '24.r1.b1', '36.c1.b1', '36.g1.a1', '36.g1.c1'], 'contains': ['144.c1.a1', '144.d1.b1', '360.h1.b1'], 'core': '144.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7748, -1, 9909, -1, 5533, -1, 1715, -1], 'generators': [900, 288, 720], 'label': '1440.2870.72.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.h1.b1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.h1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246195
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '72.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.c1', '24.r1.c1', '36.c1.a1', '36.g1.c1', '36.g1.d1'], 'contains': ['144.c1.a1', '144.d1.c1', '360.h1.c1'], 'core': '144.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7748, -1, 8788, -1, 5533, -1, 1874, -1], 'generators': [14, 288, 720], 'label': '1440.2870.72.h1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.h1.c1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.h1.c1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246196
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1920.236168', 'aut_weyl_index': 16, 'centralizer': '120.a1.a1', 'complements': ['240.j1.a1', '240.j1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '3.a1.a1'], 'contains': ['12.a1.b1', '12.e1.a1', '12.g1.b1', '12.o1.c1', '12.o1.d1', '18.b1.b1', '30.e1.b1'], 'core': '6.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3733, 6163, 2746, 2236, 3623, 6030, 7343, 2676], 'generators': [1, 288, 720, 2, 900, 960], 'label': '1440.2870.6.a1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.b1', 'normal_contained_in': ['2.a1.b1', '3.a1.a1'], 'normal_contains': ['12.a1.b1', '12.e1.a1', '12.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.b1', 'projective_image': '360.151', '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': '120.42'}
  • id: 75246197
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '72.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '40.12', 'aut_weyl_index': 768, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.d1', '24.r1.d1', '36.c1.b1', '36.g1.b1', '36.g1.d1'], 'contains': ['144.c1.a1', '144.d1.d1', '360.h1.d1'], 'core': '144.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7748, -1, 7987, -1, 5533, -1, 2290, -1], 'generators': [902, 288, 720], 'label': '1440.2870.72.h1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.h1.d1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.h1.d1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246198
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '80.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '2.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.a1', '40.b1.b1', '40.d1.a1', '40.d1.b1', '40.e1.a1', '40.e1.b1'], 'contains': ['160.a1.a1', '240.a1.a1', '240.b1.a1', '240.g1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2162, 8386, 1483, 2417, 2133, 7928, 7837, 2315], 'generators': [2, 8, 960], 'label': '1440.2870.80.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.b1', '40.b1.a1'], 'normal_contains': ['160.a1.a1', '240.a1.a1', '240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.a1.a1', 'projective_image': '240.137', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.6', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246199
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '80.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '2.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '40.a1.a1', '40.f1.a1', '40.f1.b1', '40.g1.a1'], 'contains': ['160.a1.a1', '240.c1.a1', '240.d1.a1', '240.h1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4053, 7075, 6198, 3227, 4605, 6802, 4217, 2823], 'generators': [722, 8, 960], 'label': '1440.2870.80.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '80.b1.a1', 'normal_contained_in': ['16.b1.a1', '40.a1.a1'], 'normal_contains': ['160.a1.a1', '240.c1.a1', '240.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.b1.a1', 'projective_image': '240.130', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.4', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246200
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '80.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '2.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '40.a1.a1', '40.c1.a1', '40.c1.b1', '40.h1.a1', '40.h1.b1', '40.h1.c1', '40.h1.d1'], 'contains': ['160.a1.a1', '240.e1.a1', '240.f1.a1', '240.i1.a1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7405, 4541, 8842, 6886, 6196, 3019, 1598, 5555], 'generators': [720, 8, 960], 'label': '1440.2870.80.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '80.c1.a1', 'normal_contained_in': ['16.c1.a1', '40.a1.a1', '40.c1.b1', '40.c1.a1'], 'normal_contains': ['160.a1.a1', '240.e1.a1', '240.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.c1.a1', 'projective_image': '240.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.7', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246201
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '40.d1.a1', '40.f1.a1', '40.h1.a1'], 'contains': ['160.a1.a1', '240.j1.a1', '240.k1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3046, -1, 7516, -1, 3322, -1, 3320, -1], 'generators': [12, 8, 960], 'label': '1440.2870.80.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '80.d1.a1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246202
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '40.d1.b1', '40.f1.b1', '40.h1.b1'], 'contains': ['160.a1.a1', '240.j1.b1', '240.k1.b1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3046, -1, 5488, -1, 3322, -1, 3877, -1], 'generators': [900, 8, 960], 'label': '1440.2870.80.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '80.d1.b1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246203
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.c1', '40.d1.a1', '40.f1.a1', '40.h1.c1'], 'contains': ['160.a1.a1', '240.j1.c1', '240.k1.c1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3046, -1, 7369, -1, 3322, -1, 2902, -1], 'generators': [14, 8, 960], 'label': '1440.2870.80.d1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '80.d1.c1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246204
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.d1', '40.d1.b1', '40.f1.b1', '40.h1.d1'], 'contains': ['160.a1.a1', '240.j1.d1', '240.k1.d1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3046, -1, 5296, -1, 3322, -1, 3791, -1], 'generators': [902, 8, 960], 'label': '1440.2870.80.d1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '80.d1.d1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1.d1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246205
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '90.a1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1920, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.a1', '30.b1.a1', '30.e1.a1', '45.a1.a1'], 'contains': ['180.b1.a1', '180.c1.a1', '180.e1.a1', '180.f1.a1', '180.f1.b1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [4360, -1, 2472, -1, 3738, -1, 6090, -1], 'generators': [1, 12, 720], 'label': '1440.2870.90.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '90.a1.a1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246206
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '90.a1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1920, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.b1', '30.b1.b1', '30.e1.b1', '45.a1.a1'], 'contains': ['180.b1.b1', '180.c1.a1', '180.e1.b1', '180.f1.c1', '180.f1.d1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [4360, -1, 3047, -1, 3738, -1, 6883, -1], 'generators': [961, 900, 720], 'label': '1440.2870.90.a1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '90.a1.b1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246207
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1920.236168', 'aut_weyl_index': 16, 'centralizer': '120.a1.a1', 'complements': ['240.j1.b1', '240.j1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.f1.a1', '12.g1.b1', '18.c1.a1', '30.f1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5327, 5503, 5652, 1367, 5386, 4564, 5007, 3048], 'generators': [601, 288, 722, 720, 12, 960], 'label': '1440.2870.6.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.b1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.f1.a1', '12.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '360.151', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246208
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '90.b1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1920, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.c1.a1', '30.c1.a1', '30.f1.a1', '45.a1.a1'], 'contains': ['180.b1.a1', '180.d1.a1', '180.e1.b1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [5898, -1, 5778, -1, 5819, -1, 5459, -1], 'generators': [1081, 12], 'label': '1440.2870.90.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '90.b1.a1', 'projective_image': '360.151', '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': '4.2'}
  • id: 75246209
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '90.b1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1920, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.c1.b1', '30.c1.b1', '30.f1.b1', '45.a1.a1'], 'contains': ['180.b1.b1', '180.d1.a1', '180.e1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [5898, -1, 4032, -1, 5819, -1, 5530, -1], 'generators': [601, 900], 'label': '1440.2870.90.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '6.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '90.b1.b1', 'projective_image': '360.151', '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': '4.2'}
  • id: 75246210
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '90.c1', 'aut_quo_index': None, 'aut_stab_index': 15, 'aut_weyl_group': '32.27', 'aut_weyl_index': 960, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1.a1', '30.d1.a1', '30.g1.a1', '45.a1.a1'], 'contains': ['180.a1.a1', '180.b1.a1', '180.b1.b1', '180.g1.a1', '180.g1.b1', '180.g1.c1', '180.g1.d1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [8796, -1, 7037, -1, 8529, -1, 2398, -1], 'generators': [2, 12, 360], 'label': '1440.2870.90.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '6.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '90.c1.a1', 'projective_image': '360.151', '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': '4.2'}
  • id: 75246211
    {'ambient': '1440.2870', 'aut_centralizer_order': 640, 'aut_label': '90.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1920, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1.a1', '30.a1.a1', '30.h1.a1', '45.a1.a1'], 'contains': ['180.a1.a1', '180.c1.a1', '180.d1.a1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8085, -1, 4181, -1, 7664, -1, 5396, -1], 'generators': [1, 360], 'label': '1440.2870.90.d1.a1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '30.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '90.d1.a1', 'projective_image': '360.151', '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: 75246212
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '90.e1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '32.27', 'aut_weyl_index': 960, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '30.i1.a1', '30.j1.a1', '30.k1.a1', '45.a1.a1'], 'contains': ['180.a1.a1', '180.e1.a1', '180.e1.b1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [6796, -1, 3816, -1, 6529, -1, 5596, -1], 'generators': [15, 360], 'label': '1440.2870.90.e1.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '90.e1.a1', 'projective_image': '360.151', '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': '4.2'}
  • id: 75246213
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '2.d1.a1', 'complements': ['15.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.c1.a1', '48.e1.a1', '48.j1.a1', '48.j1.b1', '48.j1.c1', '48.j1.d1'], 'contains': ['288.a1.a1', '480.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2413, 4892, 6463, 4893, 3451, 5369, 3618, 4330], 'generators': [8, 288], 'label': '1440.2870.96.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1', '48.e1.a1', '48.c1.a1'], 'normal_contains': ['288.a1.a1', '480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '480.504', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.11', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246214
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '96.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': ['15.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.b1.a1', '48.d1.a1', '48.f1.a1', '48.k1.a1', '48.k1.b1', '48.k1.c1', '48.k1.d1'], 'contains': ['288.a1.a1', '480.b1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2511, 6255, 6292, 4272, 3632, 5687, 3726, 3604], 'generators': [960, 288], 'label': '1440.2870.96.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.a1.a1', '48.b1.a1', '48.f1.a1', '48.d1.a1'], 'normal_contains': ['288.a1.a1', '480.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': '1440.2870', 'quotient_action_image': '4.2', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246215
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3840, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.g1.a1', '48.h1.a1', '48.i1.a1'], 'contains': ['288.a1.a1', '480.c1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2820, -1, 5583, -1, 3732, -1, 4010, -1], 'generators': [968, 288], 'label': '1440.2870.96.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '96.c1.a1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246216
    {'ambient': '1440.2870', 'aut_centralizer_order': 15360, 'aut_label': '120.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1', '60.e1.a1', '60.e1.b1', '60.g1.a1', '60.h1.a1', '60.i1.a1', '60.i1.b1'], 'contains': ['240.a1.a1', '240.c1.a1', '240.e1.a1', '360.a1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4692, 3262, 4586, 5512, 5100, 4593, 4739, 4412], 'generators': [2, 720, 8], 'label': '1440.2870.120.a1.a1', 'mobius_quo': -2, 'mobius_sub': -120, 'normal_closure': '120.a1.a1', 'normal_contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1'], 'normal_contains': ['240.a1.a1', '240.e1.a1', '240.c1.a1', '360.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.a1.a1', 'projective_image': '120.42', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.42', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246217
    {'ambient': '1440.2870', 'aut_centralizer_order': 15360, 'aut_label': '120.b1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '40.a1.a1', '60.b1.a1', '60.c1.a1', '60.d1.a1', '60.f1.a1', '60.f1.b1', '60.j1.a1', '60.j1.b1'], 'contains': ['240.b1.a1', '240.d1.a1', '240.f1.a1', '360.a1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5038, 7775, 4667, 2901, 5254, 6311, 4929, 3132], 'generators': [2, 720, 960], 'label': '1440.2870.120.b1.a1', 'mobius_quo': -2, 'mobius_sub': -40, 'normal_closure': '120.b1.a1', 'normal_contained_in': ['24.b1.a1', '40.a1.a1', '60.b1.a1', '60.c1.a1', '60.d1.a1'], 'normal_contains': ['240.b1.a1', '240.f1.a1', '240.d1.a1', '360.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.a1', 'projective_image': '360.151', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.10', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246218
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '120.a1.a1', 'complements': ['720.d1.a1', '720.d1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.b1', '4.c1.a1', '4.e1.b1', '4.g1.c1', '4.g1.d1', '6.a1.b1', '6.g1.b1', '10.b1.b1'], 'core': '2.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4121, 4578, 2837, 3002, 3746, 5625, 6974, 3014], 'generators': [1, 960, 720, 8, 900, 288, 2], 'label': '1440.2870.2.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.c1.a1', '4.e1.b1', '6.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.b1', 'projective_image': '120.42', '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': '120.42'}
  • id: 75246219
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1920.236168', 'aut_weyl_index': 16, 'centralizer': '120.a1.a1', 'complements': ['240.j1.a1', '240.j1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '3.a1.a1'], 'contains': ['12.a1.b1', '12.f1.a1', '12.g1.a1', '18.c1.b1', '30.f1.b1'], 'core': '6.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5327, 5503, 4421, 1713, 5386, 4564, 5092, 3901], 'generators': [601, 288, 722, 720, 900, 960], 'label': '1440.2870.6.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.b1', 'normal_contained_in': ['2.b1.b1', '3.a1.a1'], 'normal_contains': ['12.a1.b1', '12.f1.a1', '12.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.b1', 'projective_image': '360.151', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.b1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246220
    {'ambient': '1440.2870', 'aut_centralizer_order': 1280, 'aut_label': '120.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '6.d1.a1', 'complements': ['12.p1.a1', '12.p1.d1', '12.p1.b1', '12.p1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '40.b1.a1', '60.c1.a1', '60.n1.a1', '60.n1.c1'], 'contains': ['240.b1.a1', '360.d1.a1'], 'core': '120.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1473, 9690, 1370, 2052, 1687, 8650, 8162, 1382], 'generators': [1, 2, 960], 'label': '1440.2870.120.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.c1.a1', 'normal_contained_in': ['24.c1.a1', '40.b1.a1', '60.c1.a1'], 'normal_contains': ['240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.c1.a1', 'projective_image': '720.601', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.4', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246221
    {'ambient': '1440.2870', 'aut_centralizer_order': 1280, 'aut_label': '120.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '6.d1.a1', 'complements': ['12.p1.a1', '12.p1.d1', '12.p1.b1', '12.p1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['24.c1.b1', '40.b1.b1', '60.c1.a1', '60.n1.b1', '60.n1.d1'], 'contains': ['240.b1.a1', '360.d1.b1'], 'core': '120.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1473, 9690, 1611, 1610, 1687, 8650, 8389, 1675], 'generators': [241, 2, 960], 'label': '1440.2870.120.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.c1.b1', 'normal_contained_in': ['24.c1.b1', '40.b1.b1', '60.c1.a1'], 'normal_contains': ['240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.c1.b1', 'projective_image': '720.601', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.4', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.c1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246222
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '120.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '2.d1.a1', 'complements': ['12.o1.a1', '12.o1.b1', '12.o1.c1', '12.o1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '40.c1.a1', '60.a1.a1', '60.o1.a1', '60.o1.d1'], 'contains': ['240.e1.a1', '360.b1.a1'], 'core': '120.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9244, 868, 8375, 7194, 8757, 1662, 1440, 6409], 'generators': [360, 8, 720], 'label': '1440.2870.120.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.d1.a1', 'normal_contained_in': ['24.e1.a1', '40.c1.a1', '60.a1.a1'], 'normal_contains': ['240.e1.a1', '360.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.d1.a1', 'projective_image': '240.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.1', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246223
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '120.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '2.d1.a1', 'complements': ['12.o1.a1', '12.o1.b1', '12.o1.c1', '12.o1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['24.e1.b1', '40.c1.b1', '60.a1.a1', '60.o1.b1', '60.o1.c1'], 'contains': ['240.e1.a1', '360.b1.b1'], 'core': '120.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9244, 868, 9434, 6374, 8757, 1662, 276, 6009], 'generators': [362, 8, 720], 'label': '1440.2870.120.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.d1.b1', 'normal_contained_in': ['24.e1.b1', '40.c1.b1', '60.a1.a1'], 'normal_contains': ['240.e1.a1', '360.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '120.d1.b1', 'projective_image': '240.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.1', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246224
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '120.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '4.b1.a1', 'complements': ['12.n1.a1', '12.n1.b1', '12.n1.c1', '12.n1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '40.c1.a1', '60.b1.a1', '60.p1.a1', '60.p1.d1'], 'contains': ['240.f1.a1', '360.b1.a1'], 'core': '120.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9703, 2658, 8205, 7521, 8856, 1980, 2133, 6209], 'generators': [360, 960, 720], 'label': '1440.2870.120.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.e1.a1', 'normal_contained_in': ['24.f1.a1', '40.c1.a1', '60.b1.a1'], 'normal_contains': ['240.f1.a1', '360.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.e1.a1', 'projective_image': '720.608', 'quotient_action_image': '4.2', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '120.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246225
    {'ambient': '1440.2870', 'aut_centralizer_order': 3840, 'aut_label': '120.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '4.b1.a1', 'complements': ['12.n1.a1', '12.n1.b1', '12.n1.c1', '12.n1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['24.f1.b1', '40.c1.b1', '60.b1.a1', '60.p1.b1', '60.p1.c1'], 'contains': ['240.f1.a1', '360.b1.b1'], 'core': '120.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9703, 2658, 9298, 6700, 8856, 1980, 581, 5810], 'generators': [362, 960, 720], 'label': '1440.2870.120.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.e1.b1', 'normal_contained_in': ['24.f1.b1', '40.c1.b1', '60.b1.a1'], 'normal_contains': ['240.f1.a1', '360.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '120.e1.b1', 'projective_image': '720.608', 'quotient_action_image': '4.2', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '120.e1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246226
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '40.a1.a1', '60.k1.a1', '60.l1.a1', '60.l1.b1'], 'contains': ['240.g1.a1', '240.h1.a1', '240.i1.a1', '360.a1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5219, -1, 4219, -1, 4945, -1, 5015, -1], 'generators': [2, 720, 968], 'label': '1440.2870.120.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '120.f1.a1', 'projective_image': '360.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246227
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '40.d1.a1', '60.e1.a1', '60.m1.a1', '60.m1.b1'], 'contains': ['240.a1.a1', '240.j1.a1', '240.j1.c1', '360.c1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1770, -1, 988, -1, 2390, -1, 6748, -1], 'generators': [2, 12, 8], 'label': '1440.2870.120.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '120.g1.a1', 'projective_image': '240.137', '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': '1.1'}
  • id: 75246228
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.b1', '40.d1.b1', '60.e1.b1', '60.m1.c1', '60.m1.d1'], 'contains': ['240.a1.a1', '240.j1.b1', '240.j1.d1', '360.c1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1770, -1, 2586, -1, 2390, -1, 7923, -1], 'generators': [2, 900, 8], 'label': '1440.2870.120.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '120.g1.b1', 'projective_image': '240.137', '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': '1.1'}
  • id: 75246229
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.a1', '40.d1.a1', '60.f1.a1', '60.n1.a1', '60.n1.b1'], 'contains': ['240.b1.a1', '240.k1.a1', '240.k1.c1', '360.c1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [2123, -1, 926, -1, 2508, -1, 6870, -1], 'generators': [2, 12, 960], 'label': '1440.2870.120.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '120.h1.a1', 'projective_image': '720.601', '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': '6.1'}
  • id: 75246230
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '3840.iq', 'aut_weyl_index': 8, 'centralizer': '120.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.a1.b1', '12.d1.a1', '12.h1.a1', '12.h1.b1', '12.h1.c1', '12.h1.d1', '18.d1.a1', '30.g1.a1'], 'core': '6.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9101, 3713, 6747, 6037, 8547, 1171, 2411, 7566], 'generators': [2, 288, 360, 720, 12, 960], 'label': '1440.2870.6.c1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1.a1', 'normal_contained_in': ['2.c1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.a1.b1', '12.d1.a1', '12.h1.a1', '12.h1.b1', '12.h1.c1', '12.h1.d1'], 'normalizer': '1.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '360.151', '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': '120.42'}
  • id: 75246231
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.b1', '40.d1.b1', '60.f1.b1', '60.n1.c1', '60.n1.d1'], 'contains': ['240.b1.a1', '240.k1.b1', '240.k1.d1', '360.c1.b1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [2123, -1, 2382, -1, 2508, -1, 8441, -1], 'generators': [2, 900, 960], 'label': '1440.2870.120.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '120.h1.b1', 'projective_image': '720.601', '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': '6.1'}
  • id: 75246232
    {'ambient': '1440.2870', 'aut_centralizer_order': 1280, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '3.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.a1', '40.b1.a1', '60.g1.a1', '60.m1.a1', '60.m1.c1'], 'contains': ['240.a1.a1', '360.d1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1086, -1, 1296, -1, 1585, -1, 7766, -1], 'generators': [1, 8, 2], 'label': '1440.2870.120.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '120.i1.a1', 'projective_image': '240.137', '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': '1.1'}
  • id: 75246233
    {'ambient': '1440.2870', 'aut_centralizer_order': 1280, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '3.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.b1', '40.b1.b1', '60.g1.a1', '60.m1.b1', '60.m1.d1'], 'contains': ['240.a1.a1', '360.d1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1086, -1, 1557, -1, 1585, -1, 7994, -1], 'generators': [241, 8, 2], 'label': '1440.2870.120.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '120.i1.b1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246234
    {'ambient': '1440.2870', 'aut_centralizer_order': 384, 'aut_label': '120.j1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.a1', '40.e1.a1', '60.i1.a1', '60.m1.a1', '60.m1.b1'], 'contains': ['240.a1.a1', '360.e1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1373, -1, 735, -1, 1060, -1, 7399, -1], 'generators': [15, 8, 2], 'label': '1440.2870.120.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '120.j1.a1', 'projective_image': '240.137', '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': '1.1'}
  • id: 75246235
    {'ambient': '1440.2870', 'aut_centralizer_order': 384, 'aut_label': '120.j1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '10.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.b1', '40.e1.b1', '60.i1.b1', '60.m1.c1', '60.m1.d1'], 'contains': ['240.a1.a1', '360.e1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1373, -1, 2157, -1, 1060, -1, 9086, -1], 'generators': [1381, 8, 2], 'label': '1440.2870.120.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '120.j1.b1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.j1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246236
    {'ambient': '1440.2870', 'aut_centralizer_order': 384, 'aut_label': '120.k1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '20.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.l1.a1', '40.e1.a1', '60.j1.a1', '60.n1.a1', '60.n1.b1'], 'contains': ['240.b1.a1', '360.e1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1895, -1, 857, -1, 1159, -1, 7599, -1], 'generators': [15, 960, 2], 'label': '1440.2870.120.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '120.k1.a1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246237
    {'ambient': '1440.2870', 'aut_centralizer_order': 384, 'aut_label': '120.k1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '20.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.l1.b1', '40.e1.b1', '60.j1.b1', '60.n1.c1', '60.n1.d1'], 'contains': ['240.b1.a1', '360.e1.b1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1895, -1, 1948, -1, 1159, -1, 9486, -1], 'generators': [1381, 960, 2], 'label': '1440.2870.120.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '120.k1.b1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.k1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246238
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '120.l1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '20.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.m1.a1', '40.e1.a1', '60.l1.a1'], 'contains': ['240.g1.a1', '360.e1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [2034, -1, 1686, -1, 960, -1, 7654, -1], 'generators': [15, 968, 2], 'label': '1440.2870.120.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1.a1', 'old_label': '120.l1.a1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.l1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246239
    {'ambient': '1440.2870', 'aut_centralizer_order': 192, 'aut_label': '120.l1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '20.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.m1.b1', '40.e1.b1', '60.l1.b1'], 'contains': ['240.g1.a1', '360.e1.b1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [2034, -1, 2914, -1, 960, -1, 9542, -1], 'generators': [1381, 968, 2], 'label': '1440.2870.120.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1.b1', 'old_label': '120.l1.b1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.l1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246240
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.m1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.n1.a1', '40.f1.a1', '60.e1.a1'], 'contains': ['240.c1.a1', '240.j1.a1', '240.j1.c1', '360.f1.a1'], 'core': '240.c1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3651, -1, 7175, -1, 3762, -1, 3045, -1], 'generators': [722, 12, 8], 'label': '1440.2870.120.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '120.m1.a1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.m1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246241
    {'ambient': '1440.2870', 'aut_centralizer_order': 24, 'aut_label': '6.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1280.1114138', 'aut_weyl_index': 24, 'centralizer': '20.b1.a1', 'complements': ['240.k1.a1', '240.k1.b1', '240.k1.c1', '240.k1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.b1.a1'], 'contains': ['12.b1.a1', '12.c1.a1', '12.c1.b1', '18.a1.a1', '30.i1.a1'], 'core': '6.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6374, 985, 3939, 5521, 5982, 2409, 5533, 5703], 'generators': [15, 288, 8, 2, 360, 720], 'label': '1440.2870.6.d1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.d1.a1', 'normal_contained_in': ['2.e1.a1'], 'normal_contains': ['12.b1.a1', '12.c1.b1', '12.c1.a1', '18.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.d1.a1', 'projective_image': '120.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246242
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.m1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.n1.b1', '40.f1.b1', '60.e1.b1'], 'contains': ['240.c1.a1', '240.j1.b1', '240.j1.d1', '360.f1.b1'], 'core': '240.c1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3651, -1, 5292, -1, 3762, -1, 4131, -1], 'generators': [722, 900, 8], 'label': '1440.2870.120.m1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '120.m1.b1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.m1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246243
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.n1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.o1.a1', '40.f1.a1', '60.f1.a1'], 'contains': ['240.d1.a1', '240.k1.a1', '240.k1.c1', '360.f1.a1'], 'core': '240.d1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3808, -1, 6995, -1, 3880, -1, 3254, -1], 'generators': [722, 12, 960], 'label': '1440.2870.120.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '120.n1.a1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.n1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246244
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.n1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.o1.b1', '40.f1.b1', '60.f1.b1'], 'contains': ['240.d1.a1', '240.k1.b1', '240.k1.d1', '360.f1.b1'], 'core': '240.d1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3808, -1, 5173, -1, 3880, -1, 4396, -1], 'generators': [722, 900, 960], 'label': '1440.2870.120.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '120.n1.b1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.n1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246245
    {'ambient': '1440.2870', 'aut_centralizer_order': 1280, 'aut_label': '120.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.p1.a1', '40.g1.a1', '60.h1.a1'], 'contains': ['240.c1.a1', '360.g1.a1'], 'core': '240.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6559, -1, 6477, -1, 6797, -1, 4502, -1], 'generators': [601, 8, 722], 'label': '1440.2870.120.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.a1', 'old_label': '120.o1.a1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.o1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246246
    {'ambient': '1440.2870', 'aut_centralizer_order': 1280, 'aut_label': '120.p1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '12.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.q1.a1', '40.g1.a1', '60.d1.a1'], 'contains': ['240.d1.a1', '360.g1.a1'], 'core': '240.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6166, -1, 5816, -1, 6899, -1, 4615, -1], 'generators': [601, 722, 960], 'label': '1440.2870.120.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '120.p1.a1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.p1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246247
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.q1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.r1.a1', '40.h1.a1', '60.e1.a1', '60.o1.a1', '60.o1.b1'], 'contains': ['240.e1.a1', '240.j1.a1', '360.h1.a1'], 'core': '240.e1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [7109, -1, 8733, -1, 5661, -1, 1228, -1], 'generators': [12, 720, 8], 'label': '1440.2870.120.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '120.q1.a1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.q1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246248
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.q1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.r1.b1', '40.h1.b1', '60.e1.b1', '60.o1.a1', '60.o1.c1'], 'contains': ['240.e1.a1', '240.j1.b1', '360.h1.b1'], 'core': '240.e1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [7109, -1, 9739, -1, 5661, -1, 1142, -1], 'generators': [900, 720, 8], 'label': '1440.2870.120.q1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '120.q1.b1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.q1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246249
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.q1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.r1.c1', '40.h1.c1', '60.e1.a1', '60.o1.c1', '60.o1.d1'], 'contains': ['240.e1.a1', '240.j1.c1', '360.h1.c1'], 'core': '240.e1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [7109, -1, 9077, -1, 5661, -1, 1314, -1], 'generators': [14, 720, 8], 'label': '1440.2870.120.q1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '120.q1.c1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.q1.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246250
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.q1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.r1.d1', '40.h1.d1', '60.e1.b1', '60.o1.b1', '60.o1.d1'], 'contains': ['240.e1.a1', '240.j1.d1', '360.h1.d1'], 'core': '240.e1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [7109, -1, 7992, -1, 5661, -1, 1511, -1], 'generators': [902, 720, 8], 'label': '1440.2870.120.q1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '120.q1.d1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.q1.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246251
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.r1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '40.h1.a1', '60.f1.a1', '60.p1.a1', '60.p1.b1'], 'contains': ['240.f1.a1', '240.k1.a1', '360.h1.a1'], 'core': '240.f1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7561, -1, 8478, -1, 5879, -1, 1925, -1], 'generators': [12, 720, 960], 'label': '1440.2870.120.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.r1.a1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.r1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246252
    {'ambient': '1440.2870', 'aut_centralizer_order': 80, 'aut_label': '6.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.20129', 'aut_weyl_index': 80, 'centralizer': '12.b1.a1', 'complements': ['240.j1.a1', '240.j1.b1', '240.j1.c1', '240.j1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.d1.a1', '12.e1.a1', '12.f1.a1', '18.e1.a1', '30.a1.a1'], 'core': '6.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7998, 7249, 4655, 942, 7644, 7430, 4675, 1795], 'generators': [1, 960, 288, 2, 360, 720], 'label': '1440.2870.6.e1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.e1.a1', 'normal_contained_in': ['2.d1.a1', '3.a1.a1'], 'normal_contains': ['12.d1.a1', '12.e1.a1', '12.f1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.e1.a1', 'projective_image': '360.151', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246253
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.r1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.b1', '40.h1.b1', '60.f1.b1', '60.p1.a1', '60.p1.c1'], 'contains': ['240.f1.a1', '240.k1.b1', '360.h1.b1'], 'core': '240.f1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7561, -1, 9387, -1, 5879, -1, 1822, -1], 'generators': [900, 720, 960], 'label': '1440.2870.120.r1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.r1.b1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.r1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246254
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.r1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.c1', '40.h1.c1', '60.f1.a1', '60.p1.c1', '60.p1.d1'], 'contains': ['240.f1.a1', '240.k1.c1', '360.h1.c1'], 'core': '240.f1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7561, -1, 8838, -1, 5879, -1, 1970, -1], 'generators': [14, 720, 960], 'label': '1440.2870.120.r1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.r1.c1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.r1.c1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246255
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '120.r1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2560, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.d1', '40.h1.d1', '60.f1.b1', '60.p1.b1', '60.p1.d1'], 'contains': ['240.f1.a1', '240.k1.d1', '360.h1.d1'], 'core': '240.f1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7561, -1, 7802, -1, 5879, -1, 2342, -1], 'generators': [902, 720, 960], 'label': '1440.2870.120.r1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '120.r1.d1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.r1.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246256
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '120.s1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.s1.a1', '40.c1.a1', '60.k1.a1'], 'contains': ['240.i1.a1', '360.b1.a1'], 'core': '360.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9104, -1, 6948, -1, 8656, -1, 2392, -1], 'generators': [360, 968, 720], 'label': '1440.2870.120.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '120.s1.a1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.s1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246257
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '120.s1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.s1.b1', '40.c1.b1', '60.k1.a1'], 'contains': ['240.i1.a1', '360.b1.b1'], 'core': '360.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9104, -1, 7087, -1, 8656, -1, 2234, -1], 'generators': [362, 968, 720], 'label': '1440.2870.120.s1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '120.s1.b1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.s1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246258
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '144.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 7680, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '48.b1.a1', '48.g1.a1', '72.a1.a1', '72.c1.a1', '72.c1.b1', '72.d1.a1', '72.d1.b1', '72.e1.a1', '72.e1.b1'], 'contains': ['288.a1.a1', '720.a1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [754, 5700, 1192, 4469, 1984, 6560, 7811, 3967], 'generators': [2, 288], 'label': '1440.2870.144.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '144.a1.a1', 'normal_contained_in': ['48.a1.a1', '48.b1.a1', '72.a1.a1'], 'normal_contains': ['288.a1.a1', '720.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.a1.a1', 'projective_image': '720.601', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.27', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246259
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '144.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 7680, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '48.d1.a1', '48.h1.a1', '72.a1.a1', '72.f1.a1', '72.f1.b1', '72.g1.a1'], 'contains': ['288.a1.a1', '720.b1.a1'], 'core': '144.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3372, 4123, 5665, 5025, 4351, 4792, 4242, 4530], 'generators': [722, 288], 'label': '1440.2870.144.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '144.b1.a1', 'normal_contained_in': ['48.c1.a1', '48.d1.a1', '72.a1.a1'], 'normal_contains': ['288.a1.a1', '720.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.b1.a1', 'projective_image': '720.594', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.27', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246260
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '144.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 7680, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '48.f1.a1', '48.i1.a1', '72.a1.a1', '72.b1.a1', '72.b1.b1', '72.h1.a1', '72.h1.b1', '72.h1.c1', '72.h1.d1'], 'contains': ['288.a1.a1', '720.c1.a1'], 'core': '144.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7720, 2498, 8564, 8012, 5702, 2644, 2021, 6608], 'generators': [720, 288], 'label': '1440.2870.144.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '144.c1.a1', 'normal_contained_in': ['48.e1.a1', '48.f1.a1', '72.a1.a1', '72.b1.b1', '72.b1.a1'], 'normal_contains': ['288.a1.a1', '720.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.c1.a1', 'projective_image': '720.608', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.29', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246261
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '144.d1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '20.3', 'aut_weyl_index': 1536, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1.a1', '48.k1.a1', '72.c1.a1', '72.f1.a1', '72.h1.a1'], 'contains': ['288.a1.a1', '720.d1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1590, -1, 7476, -1, 3279, -1, 3304, -1], 'generators': [12, 288], 'label': '1440.2870.144.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '144.d1.a1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.d1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246262
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '144.d1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '20.3', 'aut_weyl_index': 1536, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1.b1', '48.k1.b1', '72.c1.b1', '72.f1.b1', '72.h1.b1'], 'contains': ['288.a1.a1', '720.d1.b1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1590, -1, 5411, -1, 3279, -1, 3913, -1], 'generators': [900, 288], 'label': '1440.2870.144.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '144.d1.b1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.d1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246263
    {'ambient': '1440.2870', 'aut_centralizer_order': 24, 'aut_label': '6.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1280.1114138', 'aut_weyl_index': 24, 'centralizer': '40.a1.a1', 'complements': ['240.j1.a1', '240.j1.b1', '240.j1.c1', '240.j1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.d1.a1', '12.g1.a1', '12.g1.b1', '18.a1.a1', '30.j1.a1'], 'core': '6.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6673, 2534, 3736, 3634, 6202, 3109, 5775, 5263], 'generators': [15, 288, 960, 2, 360, 720], 'label': '1440.2870.6.f1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.f1.a1', 'normal_contained_in': ['2.e1.a1', '3.a1.a1'], 'normal_contains': ['12.d1.a1', '12.g1.b1', '12.g1.a1', '18.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.f1.a1', 'projective_image': '360.151', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.f1.a1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
  • id: 75246264
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '144.d1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '20.3', 'aut_weyl_index': 1536, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1.c1', '48.k1.c1', '72.c1.a1', '72.f1.a1', '72.h1.c1'], 'contains': ['288.a1.a1', '720.d1.c1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1590, -1, 7262, -1, 3279, -1, 3115, -1], 'generators': [14, 288], 'label': '1440.2870.144.d1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '144.d1.c1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.d1.c1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246265
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '144.d1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '20.3', 'aut_weyl_index': 1536, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1.d1', '48.k1.d1', '72.c1.b1', '72.f1.b1', '72.h1.d1'], 'contains': ['288.a1.a1', '720.d1.d1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1590, -1, 4994, -1, 3279, -1, 3868, -1], 'generators': [902, 288], 'label': '1440.2870.144.d1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '144.d1.d1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.d1.d1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246266
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '160.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '2.e1.a1', 'complements': ['9.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '80.a1.a1', '80.b1.a1', '80.c1.a1', '80.d1.a1', '80.d1.b1', '80.d1.c1', '80.d1.d1'], 'contains': ['480.a1.a1', '480.b1.a1', '480.c1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2935, 6581, 6352, 3711, 3829, 6253, 3672, 3247], 'generators': [8, 960], 'label': '1440.2870.160.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': ['32.a1.a1', '80.a1.a1', '80.c1.a1', '80.b1.a1'], 'normal_contains': ['480.a1.a1', '480.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '160.a1.a1', 'projective_image': '480.504', 'quotient_action_image': '2.1', 'quotient_action_kernel': '80.13', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '160.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246267
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '180.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '60.a1.a1', '60.b1.a1', '60.k1.a1', '90.c1.a1', '90.d1.a1', '90.e1.a1'], 'contains': ['360.a1.a1', '360.b1.a1', '360.b1.b1'], 'core': '180.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8273, 1509, 6144, 5872, 7989, 3510, 2648, 5247], 'generators': [2, 360], 'label': '1440.2870.180.a1.a1', 'mobius_quo': 0, 'mobius_sub': -30, 'normal_closure': '180.a1.a1', 'normal_contained_in': ['36.a1.a1', '60.a1.a1', '60.b1.a1'], 'normal_contains': ['360.a1.a1', '360.b1.b1', '360.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '180.a1.a1', 'projective_image': '360.151', 'quotient_action_image': '2.1', 'quotient_action_kernel': '90.6', 'quotient_action_kernel_order': 90, 'quotient_fusion': None, 'short_label': '180.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246268
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '180.b1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1.a1', '60.e1.a1', '60.f1.a1', '90.a1.a1', '90.b1.a1', '90.c1.a1'], 'contains': ['360.a1.a1', '360.c1.a1', '360.f1.a1', '360.h1.a1', '360.h1.c1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [4638, -1, 6744, -1, 5416, -1, 3445, -1], 'generators': [2, 12, 720], 'label': '1440.2870.180.b1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '180.b1.a1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246269
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '180.b1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1.b1', '60.e1.b1', '60.f1.b1', '90.a1.b1', '90.b1.b1', '90.c1.a1'], 'contains': ['360.a1.a1', '360.c1.b1', '360.f1.b1', '360.h1.b1', '360.h1.d1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [4638, -1, 4818, -1, 5416, -1, 4670, -1], 'generators': [2, 900, 720], 'label': '1440.2870.180.b1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '180.b1.b1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246270
    {'ambient': '1440.2870', 'aut_centralizer_order': 2560, 'aut_label': '180.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '3.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.a1', '60.c1.a1', '60.g1.a1', '90.a1.a1', '90.a1.b1', '90.d1.a1'], 'contains': ['360.a1.a1', '360.d1.a1', '360.d1.b1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3945, -1, 2643, -1, 4152, -1, 6398, -1], 'generators': [1, 720], 'label': '1440.2870.180.c1.a1', 'mobius_quo': None, 'mobius_sub': -10, 'normal_closure': '60.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '180.c1.a1', 'projective_image': '360.151', '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': '1.1'}
  • id: 75246271
    {'ambient': '1440.2870', 'aut_centralizer_order': 2560, 'aut_label': '180.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.e1.a1', '60.d1.a1', '60.h1.a1', '90.b1.a1', '90.b1.b1', '90.d1.a1'], 'contains': ['360.a1.a1', '360.g1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6431, -1, 4701, -1, 7152, -1, 5266, -1], 'generators': [601, 720], 'label': '1440.2870.180.d1.a1', 'mobius_quo': None, 'mobius_sub': -10, 'normal_closure': '60.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '180.d1.a1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246272
    {'ambient': '1440.2870', 'aut_centralizer_order': 768, 'aut_label': '180.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1.a1', '60.i1.a1', '60.j1.a1', '60.l1.a1', '90.a1.a1', '90.b1.b1', '90.e1.a1'], 'contains': ['360.a1.a1', '360.e1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5441, -1, 3199, -1, 3997, -1, 5781, -1], 'generators': [15, 720], 'label': '1440.2870.180.e1.a1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '36.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '180.e1.a1', 'projective_image': '360.151', '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: 75246273
    {'ambient': '1440.2870', 'aut_centralizer_order': 768, 'aut_label': '180.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '10.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1.b1', '60.i1.b1', '60.j1.b1', '60.l1.b1', '90.a1.b1', '90.b1.a1', '90.e1.a1'], 'contains': ['360.a1.a1', '360.e1.b1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5441, -1, 3378, -1, 3997, -1, 6608, -1], 'generators': [1381, 720], 'label': '1440.2870.180.e1.b1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '36.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '180.e1.b1', 'projective_image': '360.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246274
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '640.21539', 'aut_weyl_index': 48, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.b1.a1'], 'contains': ['12.c1.a1', '12.i1.a1', '12.j1.a1', '12.n1.a1', '12.n1.b1', '18.b1.a1', '30.b1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3443, -1, 1733, -1, 3377, -1, 6189, -1], 'generators': [1, 288, 720, 8, 12, 2], 'label': '1440.2870.6.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.g1.a1', 'projective_image': '120.42', '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': '20.4'}
  • id: 75246275
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '180.f1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.f1.a1', '60.m1.a1', '60.n1.a1', '90.a1.a1'], 'contains': ['360.c1.a1', '360.d1.a1', '360.e1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1217, -1, 348, -1, 1286, -1, 7328, -1], 'generators': [1, 12], 'label': '1440.2870.180.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '180.f1.a1', 'projective_image': '720.601', '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': '1.1'}
  • id: 75246276
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '180.f1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.f1.b1', '60.m1.b1', '60.n1.b1', '90.a1.a1'], 'contains': ['360.c1.a1', '360.d1.b1', '360.e1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1217, -1, 1026, -1, 1286, -1, 7469, -1], 'generators': [721, 12], 'label': '1440.2870.180.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '180.f1.b1', 'projective_image': '720.601', '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': '1.1'}
  • id: 75246277
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '180.f1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.f1.c1', '60.m1.c1', '60.n1.c1', '90.a1.b1'], 'contains': ['360.c1.b1', '360.d1.a1', '360.e1.b1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1217, -1, 1955, -1, 1286, -1, 9156, -1], 'generators': [961, 900], 'label': '1440.2870.180.f1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '180.f1.c1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.f1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246278
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '180.f1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7680, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.f1.d1', '60.m1.d1', '60.n1.d1', '90.a1.b1'], 'contains': ['360.c1.b1', '360.d1.b1', '360.e1.b1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1217, -1, 2724, -1, 1286, -1, 9243, -1], 'generators': [241, 900], 'label': '1440.2870.180.f1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '180.f1.d1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.f1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246279
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '180.g1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3840, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.a1', '60.o1.a1', '60.p1.a1', '90.c1.a1'], 'contains': ['360.b1.a1', '360.h1.a1', '360.h1.b1'], 'core': '360.b1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [9515, -1, 9140, -1, 8952, -1, 1663, -1], 'generators': [12, 360], 'label': '1440.2870.180.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '180.g1.a1', 'projective_image': '720.608', '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': '4.2'}
  • id: 75246280
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '180.g1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3840, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.b1', '60.o1.b1', '60.p1.b1', '90.c1.a1'], 'contains': ['360.b1.b1', '360.h1.a1', '360.h1.d1'], 'core': '360.b1.b1', 'coset_action_label': None, 'count': 15, 'diagramx': [9515, -1, 8221, -1, 8952, -1, 632, -1], 'generators': [362, 12], 'label': '1440.2870.180.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '180.g1.b1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.g1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246281
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '180.g1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3840, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.c1', '60.o1.c1', '60.p1.c1', '90.c1.a1'], 'contains': ['360.b1.b1', '360.h1.b1', '360.h1.c1'], 'core': '360.b1.b1', 'coset_action_label': None, 'count': 15, 'diagramx': [9515, -1, 9531, -1, 8952, -1, 475, -1], 'generators': [362, 900], 'label': '1440.2870.180.g1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '180.g1.c1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.g1.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246282
    {'ambient': '1440.2870', 'aut_centralizer_order': 64, 'aut_label': '180.g1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3840, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.d1', '60.o1.d1', '60.p1.d1', '90.c1.a1'], 'contains': ['360.b1.a1', '360.h1.c1', '360.h1.d1'], 'core': '360.b1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [9515, -1, 7476, -1, 8952, -1, 2183, -1], 'generators': [14, 360], 'label': '1440.2870.180.g1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '180.g1.d1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '180.g1.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246283
    {'ambient': '1440.2870', 'aut_centralizer_order': 15360, 'aut_label': '240.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1', '120.g1.a1', '120.g1.b1', '120.i1.a1', '120.i1.b1', '120.j1.a1', '120.j1.b1'], 'contains': ['480.a1.a1', '720.a1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1628, 5990, 1386, 4032, 2156, 6849, 7715, 3785], 'generators': [2, 8], 'label': '1440.2870.240.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': '240.137', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.137', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246284
    {'ambient': '1440.2870', 'aut_centralizer_order': 15360, 'aut_label': '240.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1.a1', '80.a1.a1', '120.b1.a1', '120.c1.a1', '120.c1.b1', '120.h1.a1', '120.h1.b1', '120.k1.a1', '120.k1.b1'], 'contains': ['480.b1.a1', '720.a1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2139, 8266, 1545, 2634, 2238, 7358, 7953, 2569], 'generators': [2, 960], 'label': '1440.2870.240.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '240.b1.a1', 'normal_contained_in': ['48.b1.a1', '80.a1.a1', '120.b1.a1', '120.c1.b1', '120.c1.a1'], 'normal_contains': ['480.b1.a1', '720.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.b1.a1', 'projective_image': '720.601', 'quotient_action_image': '2.1', 'quotient_action_kernel': '120.18', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '240.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246285
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '640.21539', 'aut_weyl_index': 48, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '3.b1.a1'], 'contains': ['12.c1.b1', '12.i1.b1', '12.j1.a1', '12.n1.c1', '12.n1.d1', '18.b1.b1', '30.b1.b1'], 'core': '12.c1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [3443, -1, 2942, -1, 3377, -1, 6824, -1], 'generators': [961, 288, 720, 8, 900, 2], 'label': '1440.2870.6.g1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.g1.b1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246286
    {'ambient': '1440.2870', 'aut_centralizer_order': 15360, 'aut_label': '240.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '80.b1.a1', '120.a1.a1', '120.m1.a1', '120.m1.b1', '120.o1.a1'], 'contains': ['480.a1.a1', '720.b1.a1'], 'core': '240.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3816, 4031, 6377, 5300, 4442, 5080, 4163, 4148], 'generators': [722, 8], 'label': '1440.2870.240.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '240.c1.a1', 'normal_contained_in': ['48.c1.a1', '80.b1.a1', '120.a1.a1'], 'normal_contains': ['480.a1.a1', '720.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.c1.a1', 'projective_image': '240.130', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.130', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246320
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '360.h1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.h1.d1', '120.q1.d1', '120.r1.d1', '180.b1.b1', '180.g1.b1', '180.g1.d1'], 'contains': ['720.c1.a1', '720.d1.d1'], 'core': '720.c1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [7518, -1, 7746, -1, 5605, -1, 2237, -1], 'generators': [902, 720], 'label': '1440.2870.360.h1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '360.h1.d1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.h1.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246287
    {'ambient': '1440.2870', 'aut_centralizer_order': 15360, 'aut_label': '240.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '80.b1.a1', '120.b1.a1', '120.n1.a1', '120.n1.b1', '120.p1.a1'], 'contains': ['480.b1.a1', '720.b1.a1'], 'core': '240.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3736, 7623, 5839, 3323, 4524, 5975, 4292, 3422], 'generators': [722, 960], 'label': '1440.2870.240.d1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '240.d1.a1', 'normal_contained_in': ['48.d1.a1', '80.b1.a1', '120.b1.a1'], 'normal_contains': ['480.b1.a1', '720.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.d1.a1', 'projective_image': '720.594', 'quotient_action_image': '2.1', 'quotient_action_kernel': '120.16', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '240.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246288
    {'ambient': '1440.2870', 'aut_centralizer_order': 15360, 'aut_label': '240.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '80.c1.a1', '120.a1.a1', '120.d1.a1', '120.d1.b1', '120.q1.a1', '120.q1.b1', '120.q1.c1', '120.q1.d1'], 'contains': ['480.a1.a1', '720.c1.a1'], 'core': '240.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7205, 2747, 8904, 6915, 5792, 2990, 1440, 5782], 'generators': [720, 8], 'label': '1440.2870.240.e1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '240.e1.a1', 'normal_contained_in': ['48.e1.a1', '80.c1.a1', '120.a1.a1', '120.d1.b1', '120.d1.a1'], 'normal_contains': ['480.a1.a1', '720.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.e1.a1', 'projective_image': '240.144', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.144', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246289
    {'ambient': '1440.2870', 'aut_centralizer_order': 15360, 'aut_label': '240.f1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.f1.a1', '80.c1.a1', '120.b1.a1', '120.e1.a1', '120.e1.b1', '120.r1.a1', '120.r1.b1', '120.r1.c1', '120.r1.d1'], 'contains': ['480.b1.a1', '720.c1.a1'], 'core': '240.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7522, 4750, 8654, 7101, 5879, 3250, 2072, 5619], 'generators': [720, 960], 'label': '1440.2870.240.f1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '240.f1.a1', 'normal_contained_in': ['48.f1.a1', '80.c1.a1', '120.b1.a1', '120.e1.b1', '120.e1.a1'], 'normal_contains': ['480.b1.a1', '720.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.f1.a1', 'projective_image': '720.608', 'quotient_action_image': '2.1', 'quotient_action_kernel': '120.19', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '240.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246290
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '240.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1.a1', '80.a1.a1', '120.f1.a1', '120.l1.a1', '120.l1.b1'], 'contains': ['480.c1.a1', '720.a1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2221, -1, 1721, -1, 2074, -1, 7862, -1], 'generators': [2, 968], 'label': '1440.2870.240.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '240.g1.a1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246291
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '240.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1.a1', '80.b1.a1', '120.f1.a1'], 'contains': ['480.c1.a1', '720.b1.a1'], 'core': '720.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3896, -1, 5019, -1, 4605, -1, 4390, -1], 'generators': [722, 968], 'label': '1440.2870.240.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '240.h1.a1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.h1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246292
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '240.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.i1.a1', '80.c1.a1', '120.f1.a1', '120.s1.a1', '120.s1.b1'], 'contains': ['480.c1.a1', '720.c1.a1'], 'core': '720.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7392, -1, 7028, -1, 6015, -1, 2392, -1], 'generators': [720, 968], 'label': '1440.2870.240.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '240.i1.a1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246293
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '240.j1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1.a1', '80.d1.a1', '120.g1.a1', '120.m1.a1', '120.q1.a1'], 'contains': ['480.a1.a1', '720.d1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3010, -1, 7644, -1, 3360, -1, 3207, -1], 'generators': [12, 8], 'label': '1440.2870.240.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '240.j1.a1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.j1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246294
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '240.j1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1.b1', '80.d1.b1', '120.g1.b1', '120.m1.b1', '120.q1.b1'], 'contains': ['480.a1.a1', '720.d1.b1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3010, -1, 5444, -1, 3360, -1, 3822, -1], 'generators': [900, 8], 'label': '1440.2870.240.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '240.j1.b1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.j1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246295
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '240.j1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1.c1', '80.d1.c1', '120.g1.a1', '120.m1.a1', '120.q1.c1'], 'contains': ['480.a1.a1', '720.d1.c1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3010, -1, 7568, -1, 3360, -1, 3045, -1], 'generators': [14, 8], 'label': '1440.2870.240.j1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '240.j1.c1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.j1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246296
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '640.21539', 'aut_weyl_index': 48, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.b1.a1'], 'contains': ['12.c1.b1', '12.i1.a1', '12.k1.a1', '18.c1.a1', '30.c1.a1'], 'core': '12.c1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4748, -1, 5855, -1, 5201, -1, 4447, -1], 'generators': [1081, 288, 8, 722, 12, 720], 'label': '1440.2870.6.h1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.h1.a1', 'projective_image': '120.42', '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': '20.4'}
  • id: 75246297
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '240.j1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1.d1', '80.d1.d1', '120.g1.b1', '120.m1.b1', '120.q1.d1'], 'contains': ['480.a1.a1', '720.d1.d1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3010, -1, 5296, -1, 3360, -1, 3777, -1], 'generators': [902, 8], 'label': '1440.2870.240.j1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '240.j1.d1', 'projective_image': '480.504', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.j1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246298
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '240.k1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '6.1', 'aut_weyl_index': 5120, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.k1.a1', '80.d1.a1', '120.h1.a1', '120.n1.a1', '120.r1.a1'], 'contains': ['480.b1.a1', '720.d1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3160, -1, 7358, -1, 3542, -1, 3350, -1], 'generators': [12, 960], 'label': '1440.2870.240.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '240.k1.a1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.k1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246299
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '240.k1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '6.1', 'aut_weyl_index': 5120, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.k1.b1', '80.d1.b1', '120.h1.b1', '120.n1.b1', '120.r1.b1'], 'contains': ['480.b1.a1', '720.d1.b1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3160, -1, 5501, -1, 3542, -1, 4060, -1], 'generators': [900, 960], 'label': '1440.2870.240.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '240.k1.b1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.k1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246300
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '240.k1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '6.1', 'aut_weyl_index': 5120, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.k1.c1', '80.d1.c1', '120.h1.a1', '120.n1.a1', '120.r1.c1'], 'contains': ['480.b1.a1', '720.d1.c1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3160, -1, 7236, -1, 3542, -1, 3161, -1], 'generators': [14, 960], 'label': '1440.2870.240.k1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '240.k1.c1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.k1.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246301
    {'ambient': '1440.2870', 'aut_centralizer_order': 128, 'aut_label': '240.k1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '6.1', 'aut_weyl_index': 5120, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.k1.d1', '80.d1.d1', '120.h1.b1', '120.n1.b1', '120.r1.d1'], 'contains': ['480.b1.a1', '720.d1.d1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [3160, -1, 5196, -1, 3542, -1, 3959, -1], 'generators': [902, 960], 'label': '1440.2870.240.k1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '240.k1.d1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.k1.d1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246302
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '288.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 7680, 'centralizer': '2.d1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '144.a1.a1', '144.b1.a1', '144.c1.a1', '144.d1.a1', '144.d1.b1', '144.d1.c1', '144.d1.d1'], 'contains': ['1440.a1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2592, 4490, 5894, 4638, 3628, 5355, 3729, 4394], 'generators': [288], 'label': '1440.2870.288.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '288.a1.a1', 'normal_contained_in': ['96.a1.a1', '96.b1.a1', '144.a1.a1', '144.c1.a1', '144.b1.a1'], 'normal_contains': ['1440.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '288.a1.a1', 'projective_image': '1440.2870', 'quotient_action_image': '2.1', 'quotient_action_kernel': '144.76', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '288.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246336
    {'ambient': '1440.2870', 'aut_centralizer_order': 160, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.206', 'aut_weyl_index': 320, 'centralizer': '12.b1.a1', 'complements': ['180.g1.a1', '180.g1.d1', '180.g1.b1', '180.g1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.g1.a1', '4.g1.c1'], 'contains': ['16.a1.a1', '24.c1.a1', '24.j1.a1', '40.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1458, 8343, 772, 2435, 1706, 9682, 8604, 200], 'generators': [1, 288, 2, 8, 960], 'label': '1440.2870.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.c1.a1'], 'normal_contains': ['16.a1.a1', '24.c1.a1', '40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '240.137', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246303
    {'ambient': '1440.2870', 'aut_centralizer_order': 30720, 'aut_label': '360.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 30720, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '120.a1.a1', '120.b1.a1', '120.f1.a1', '180.a1.a1', '180.b1.a1', '180.b1.b1', '180.c1.a1', '180.d1.a1', '180.e1.a1', '180.e1.b1'], 'contains': ['720.a1.a1', '720.b1.a1', '720.c1.a1'], 'core': '360.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4777, 3259, 4451, 5443, 5023, 4485, 4882, 4723], 'generators': [2, 720], 'label': '1440.2870.360.a1.a1', 'mobius_quo': 2, 'mobius_sub': 120, 'normal_closure': '360.a1.a1', 'normal_contained_in': ['72.a1.a1', '120.a1.a1', '120.b1.a1', '180.a1.a1'], 'normal_contains': ['720.a1.a1', '720.c1.a1', '720.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '360.a1.a1', 'projective_image': '360.151', 'quotient_action_image': '1.1', 'quotient_action_kernel': '360.151', 'quotient_action_kernel_order': 360, 'quotient_fusion': None, 'short_label': '360.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246304
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '360.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.d1.a1', 'complements': ['4.g1.a1', '4.g1.b1', '4.g1.c1', '4.g1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['72.b1.a1', '120.d1.a1', '120.e1.a1', '120.s1.a1', '180.a1.a1', '180.g1.a1', '180.g1.d1'], 'contains': ['720.c1.a1'], 'core': '360.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9273, 1509, 8170, 7554, 8656, 1980, 2125, 6209], 'generators': [360], 'label': '1440.2870.360.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '360.b1.a1', 'normal_contained_in': ['72.b1.a1', '120.d1.a1', '120.e1.a1', '180.a1.a1'], 'normal_contains': ['720.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '360.b1.a1', 'projective_image': '720.608', 'quotient_action_image': '2.1', 'quotient_action_kernel': '180.14', 'quotient_action_kernel_order': 180, 'quotient_fusion': None, 'short_label': '360.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246305
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '360.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.d1.a1', 'complements': ['4.g1.a1', '4.g1.b1', '4.g1.c1', '4.g1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['72.b1.b1', '120.d1.b1', '120.e1.b1', '120.s1.b1', '180.a1.a1', '180.g1.b1', '180.g1.c1'], 'contains': ['720.c1.a1'], 'core': '360.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9273, 1509, 9175, 6498, 8656, 1980, 606, 5946], 'generators': [362], 'label': '1440.2870.360.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '360.b1.b1', 'normal_contained_in': ['72.b1.b1', '120.d1.b1', '120.e1.b1', '180.a1.a1'], 'normal_contains': ['720.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '360.b1.b1', 'projective_image': '720.608', 'quotient_action_image': '2.1', 'quotient_action_kernel': '180.14', 'quotient_action_kernel_order': 180, 'quotient_fusion': None, 'short_label': '360.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246306
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '360.c1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1.a1', '120.g1.a1', '120.h1.a1', '180.b1.a1', '180.f1.a1', '180.f1.b1'], 'contains': ['720.a1.a1', '720.d1.a1', '720.d1.c1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1910, -1, 1026, -1, 2390, -1, 6819, -1], 'generators': [2, 12], 'label': '1440.2870.360.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '360.c1.a1', 'projective_image': '720.601', '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': '1.1'}
  • id: 75246307
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '640.21539', 'aut_weyl_index': 48, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '3.b1.a1'], 'contains': ['12.c1.a1', '12.i1.b1', '12.k1.a1', '18.c1.b1', '30.c1.b1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4748, -1, 4518, -1, 5201, -1, 4798, -1], 'generators': [601, 288, 8, 722, 900, 720], 'label': '1440.2870.6.h1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.h1.b1', 'projective_image': '120.42', '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': '20.4'}
  • id: 75246308
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '360.c1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1.b1', '120.g1.b1', '120.h1.b1', '180.b1.b1', '180.f1.c1', '180.f1.d1'], 'contains': ['720.a1.a1', '720.d1.b1', '720.d1.d1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [1910, -1, 2592, -1, 2390, -1, 8002, -1], 'generators': [2, 900], 'label': '1440.2870.360.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '360.c1.b1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246309
    {'ambient': '1440.2870', 'aut_centralizer_order': 2560, 'aut_label': '360.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '3.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.d1.a1', '120.c1.a1', '120.i1.a1', '180.c1.a1', '180.f1.a1', '180.f1.c1'], 'contains': ['720.a1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1155, -1, 1296, -1, 1636, -1, 7761, -1], 'generators': [1], 'label': '1440.2870.360.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '360.d1.a1', 'projective_image': '720.601', '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: 75246310
    {'ambient': '1440.2870', 'aut_centralizer_order': 2560, 'aut_label': '360.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '3.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.d1.b1', '120.c1.b1', '120.i1.b1', '180.c1.a1', '180.f1.b1', '180.f1.d1'], 'contains': ['720.a1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1155, -1, 1635, -1, 1636, -1, 7908, -1], 'generators': [241], 'label': '1440.2870.360.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '360.d1.b1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246311
    {'ambient': '1440.2870', 'aut_centralizer_order': 768, 'aut_label': '360.e1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.e1.a1', '120.j1.a1', '120.k1.a1', '120.l1.a1', '180.e1.a1', '180.f1.a1', '180.f1.b1'], 'contains': ['720.a1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1412, -1, 901, -1, 1159, -1, 7505, -1], 'generators': [15], 'label': '1440.2870.360.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '360.e1.a1', 'projective_image': '720.601', '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': '1.1'}
  • id: 75246312
    {'ambient': '1440.2870', 'aut_centralizer_order': 768, 'aut_label': '360.e1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '10.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.e1.b1', '120.j1.b1', '120.k1.b1', '120.l1.b1', '180.e1.b1', '180.f1.c1', '180.f1.d1'], 'contains': ['720.a1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1412, -1, 2224, -1, 1159, -1, 9200, -1], 'generators': [1381], 'label': '1440.2870.360.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '360.e1.b1', 'projective_image': '720.601', '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': '1.1'}
  • id: 75246313
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '360.f1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.f1.a1', '120.m1.a1', '120.n1.a1', '180.b1.a1'], 'contains': ['720.b1.a1', '720.d1.a1', '720.d1.c1'], 'core': '720.b1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3434, -1, 6960, -1, 3922, -1, 3255, -1], 'generators': [722, 12], 'label': '1440.2870.360.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '360.f1.a1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246314
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '360.f1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.f1.b1', '120.m1.b1', '120.n1.b1', '180.b1.b1'], 'contains': ['720.b1.a1', '720.d1.b1', '720.d1.d1'], 'core': '720.b1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3434, -1, 5141, -1, 3922, -1, 4341, -1], 'generators': [722, 900], 'label': '1440.2870.360.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '360.f1.b1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.f1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246315
    {'ambient': '1440.2870', 'aut_centralizer_order': 2560, 'aut_label': '360.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.g1.a1', '120.o1.a1', '120.p1.a1', '180.d1.a1'], 'contains': ['720.b1.a1'], 'core': '720.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6335, -1, 5694, -1, 6797, -1, 4558, -1], 'generators': [601], 'label': '1440.2870.360.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.a1', 'old_label': '360.g1.a1', 'projective_image': '720.594', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246316
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '360.h1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.h1.a1', '120.q1.a1', '120.r1.a1', '180.b1.a1', '180.g1.a1', '180.g1.b1'], 'contains': ['720.c1.a1', '720.d1.a1'], 'core': '720.c1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [7518, -1, 8468, -1, 5605, -1, 1843, -1], 'generators': [12, 720], 'label': '1440.2870.360.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '360.h1.a1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246317
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '360.h1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.h1.b1', '120.q1.b1', '120.r1.b1', '180.b1.b1', '180.g1.a1', '180.g1.c1'], 'contains': ['720.c1.a1', '720.d1.b1'], 'core': '720.c1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [7518, -1, 9401, -1, 5605, -1, 1717, -1], 'generators': [900, 720], 'label': '1440.2870.360.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '360.h1.b1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246318
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '6.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1280.1114138', 'aut_weyl_index': 24, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.b1.a1'], 'contains': ['12.b1.a1', '12.i1.a1', '12.i1.b1', '12.p1.a1', '12.p1.b1', '12.p1.c1', '12.p1.d1', '18.d1.a1', '30.d1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8585, -1, 6866, -1, 8361, -1, 2204, -1], 'generators': [2, 288, 360, 8, 12, 720], 'label': '1440.2870.6.i1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.i1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.i1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246319
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '360.h1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.h1.c1', '120.q1.c1', '120.r1.c1', '180.b1.a1', '180.g1.c1', '180.g1.d1'], 'contains': ['720.c1.a1', '720.d1.c1'], 'core': '720.c1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [7518, -1, 8746, -1, 5605, -1, 1967, -1], 'generators': [14, 720], 'label': '1440.2870.360.h1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '360.h1.c1', 'projective_image': '720.608', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.h1.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246321
    {'ambient': '1440.2870', 'aut_centralizer_order': 15360, 'aut_label': '480.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '1.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1', '240.c1.a1', '240.e1.a1', '240.j1.a1', '240.j1.b1', '240.j1.c1', '240.j1.d1'], 'contains': ['1440.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2890, 5426, 6477, 4434, 3710, 5614, 3678, 4067], 'generators': [8], 'label': '1440.2870.480.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.a1.a1', 'normal_contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1', '240.e1.a1', '240.c1.a1'], 'normal_contains': ['1440.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '480.a1.a1', 'projective_image': '480.504', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.504', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246322
    {'ambient': '1440.2870', 'aut_centralizer_order': 15360, 'aut_label': '480.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.e1.a1', 'complements': ['3.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.b1.a1', '160.a1.a1', '240.b1.a1', '240.d1.a1', '240.f1.a1', '240.k1.a1', '240.k1.b1', '240.k1.c1', '240.k1.d1'], 'contains': ['1440.a1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3050, 6975, 6207, 3644, 3791, 5925, 3774, 3513], 'generators': [960], 'label': '1440.2870.480.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.b1.a1', 'normal_contained_in': ['96.b1.a1', '160.a1.a1', '240.b1.a1', '240.f1.a1', '240.d1.a1'], 'normal_contains': ['1440.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '480.b1.a1', 'projective_image': '1440.2870', 'quotient_action_image': '2.1', 'quotient_action_kernel': '240.42', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '480.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246323
    {'ambient': '1440.2870', 'aut_centralizer_order': 7680, 'aut_label': '480.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 15360, 'centralizer': '2.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.c1.a1', '160.a1.a1', '240.g1.a1', '240.h1.a1', '240.i1.a1'], 'contains': ['1440.a1.a1'], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2971, -1, 5553, -1, 3873, -1, 3891, -1], 'generators': [968], 'label': '1440.2870.480.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '480.c1.a1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246324
    {'ambient': '1440.2870', 'aut_centralizer_order': 30720, 'aut_label': '720.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 30720, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['144.a1.a1', '240.a1.a1', '240.b1.a1', '240.g1.a1', '360.a1.a1', '360.c1.a1', '360.c1.b1', '360.d1.a1', '360.d1.b1', '360.e1.a1', '360.e1.b1'], 'contains': ['1440.a1.a1'], 'core': '720.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1910, 6210, 1568, 4175, 2156, 6560, 7786, 3903], 'generators': [2], 'label': '1440.2870.720.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '720.a1.a1', 'normal_contained_in': ['144.a1.a1', '240.a1.a1', '240.b1.a1', '360.a1.a1'], 'normal_contains': ['1440.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '720.a1.a1', 'projective_image': '720.601', 'quotient_action_image': '1.1', 'quotient_action_kernel': '720.601', 'quotient_action_kernel_order': 720, 'quotient_fusion': None, 'short_label': '720.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246325
    {'ambient': '1440.2870', 'aut_centralizer_order': 30720, 'aut_label': '720.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 30720, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['144.b1.a1', '240.c1.a1', '240.d1.a1', '240.h1.a1', '360.a1.a1', '360.f1.a1', '360.f1.b1', '360.g1.a1'], 'contains': ['1440.a1.a1'], 'core': '720.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3833, 4039, 5694, 5158, 4483, 5080, 4292, 4230], 'generators': [722], 'label': '1440.2870.720.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '720.b1.a1', 'normal_contained_in': ['144.b1.a1', '240.c1.a1', '240.d1.a1', '360.a1.a1'], 'normal_contains': ['1440.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '720.b1.a1', 'projective_image': '720.594', 'quotient_action_image': '1.1', 'quotient_action_kernel': '720.594', 'quotient_action_kernel_order': 720, 'quotient_fusion': None, 'short_label': '720.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246326
    {'ambient': '1440.2870', 'aut_centralizer_order': 30720, 'aut_label': '720.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 30720, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['144.c1.a1', '240.e1.a1', '240.f1.a1', '240.i1.a1', '360.a1.a1', '360.b1.a1', '360.b1.b1', '360.h1.a1', '360.h1.b1', '360.h1.c1', '360.h1.d1'], 'contains': ['1440.a1.a1'], 'core': '720.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7413, 2611, 8609, 6936, 5747, 3120, 2047, 5782], 'generators': [720], 'label': '1440.2870.720.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '720.c1.a1', 'normal_contained_in': ['144.c1.a1', '240.e1.a1', '240.f1.a1', '360.a1.a1', '360.b1.b1', '360.b1.a1'], 'normal_contains': ['1440.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '720.c1.a1', 'projective_image': '720.608', 'quotient_action_image': '1.1', 'quotient_action_kernel': '720.608', 'quotient_action_kernel_order': 720, 'quotient_fusion': None, 'short_label': '720.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246327
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '720.d1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '1.1', 'aut_weyl_index': 30720, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.d1.a1', '240.j1.a1', '240.k1.a1', '360.c1.a1', '360.f1.a1', '360.h1.a1'], 'contains': ['1440.a1.a1'], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3160, -1, 7419, -1, 3542, -1, 3304, -1], 'generators': [12], 'label': '1440.2870.720.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '720.d1.a1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246328
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '720.d1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '1.1', 'aut_weyl_index': 30720, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.d1.b1', '240.j1.b1', '240.k1.b1', '360.c1.b1', '360.f1.b1', '360.h1.b1'], 'contains': ['1440.a1.a1'], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3160, -1, 5421, -1, 3542, -1, 3936, -1], 'generators': [900], 'label': '1440.2870.720.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '720.d1.b1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246329
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '120.a1.a1', 'complements': ['720.d1.b1', '720.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '4.e1.b1', '6.b1.a1', '6.h1.a1', '10.c1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5233, 5390, 5878, 1939, 5386, 4896, 4561, 3472], 'generators': [601, 960, 8, 722, 12, 288, 720], 'label': '1440.2870.2.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.d1.a1', '4.e1.b1', '6.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '120.42', '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': '120.42'}
  • id: 75246330
    {'ambient': '1440.2870', 'aut_centralizer_order': 80, 'aut_label': '6.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2319', 'aut_weyl_index': 240, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.b1.a1'], 'contains': ['12.b1.a1', '12.j1.a1', '12.k1.a1', '18.e1.a1', '30.h1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6998, -1, 5181, -1, 7441, -1, 4211, -1], 'generators': [1, 720, 8, 288, 360, 2], 'label': '1440.2870.6.j1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.j1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246331
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '720.d1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '1.1', 'aut_weyl_index': 30720, 'centralizer': '30.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.d1.c1', '240.j1.c1', '240.k1.c1', '360.c1.a1', '360.f1.a1', '360.h1.c1'], 'contains': ['1440.a1.a1'], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3160, -1, 7172, -1, 3542, -1, 3161, -1], 'generators': [14], 'label': '1440.2870.720.d1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.a1', 'old_label': '720.d1.c1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720.d1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246332
    {'ambient': '1440.2870', 'aut_centralizer_order': 256, 'aut_label': '720.d1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '1.1', 'aut_weyl_index': 30720, 'centralizer': '30.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.d1.d1', '240.j1.d1', '240.k1.d1', '360.c1.b1', '360.f1.b1', '360.h1.d1'], 'contains': ['1440.a1.a1'], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [3160, -1, 5183, -1, 3542, -1, 3845, -1], 'generators': [902], 'label': '1440.2870.720.d1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '30.b1.b1', 'old_label': '720.d1.d1', 'projective_image': '1440.2870', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720.d1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 75246333
    {'ambient': '1440.2870', '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.b1.a1', '480.c1.a1', '720.a1.a1', '720.b1.a1', '720.c1.a1', '720.d1.a1', '720.d1.b1', '720.d1.c1', '720.d1.d1'], 'contains': [], 'core': '1440.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3020, 4433, 5894, 4813, 3750, 5485, 3774, 4148], 'generators': [], 'label': '1440.2870.1440.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1440.a1.a1', 'normal_contained_in': ['288.a1.a1', '480.a1.a1', '480.b1.a1', '720.a1.a1', '720.c1.a1', '720.b1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1440.a1.a1', 'projective_image': '1440.2870', '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: 75246334
    {'ambient': '1440.2870', 'aut_centralizer_order': 12, 'aut_label': '6.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1280.1114138', 'aut_weyl_index': 24, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1'], 'contains': ['12.l1.a1', '12.m1.a1', '12.m1.b1', '18.a1.a1', '30.k1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5884, -1, 3353, -1, 5762, -1, 5898, -1], 'generators': [15, 288, 968, 2, 360, 720], 'label': '1440.2870.6.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '6.k1.a1', 'projective_image': '360.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.k1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246335
    {'ambient': '1440.2870', 'aut_centralizer_order': 1920, 'aut_label': '8.a1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1920, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.e1.b1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '24.a1.a1', '24.b1.a1', '24.g1.a1', '40.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4444, 5124, 4806, 4373, 4430, 5835, 4026, 3436], 'generators': [2, 8, 960, 720, 288], 'label': '1440.2870.8.a1.a1', 'mobius_quo': -2, 'mobius_sub': -8, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.b1', '4.e1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.b1.a1', '24.a1.a1', '24.b1.a1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '120.42', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246337
    {'ambient': '1440.2870', 'aut_centralizer_order': 160, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.206', 'aut_weyl_index': 320, 'centralizer': '12.b1.a1', 'complements': ['180.g1.a1', '180.g1.d1', '180.g1.b1', '180.g1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.g1.b1', '4.g1.d1'], 'contains': ['16.a1.a1', '24.c1.b1', '24.j1.b1', '40.b1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1458, 8343, 1156, 1933, 1706, 9682, 8727, 640], 'generators': [241, 288, 2, 8, 960], 'label': '1440.2870.8.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': ['4.c1.a1'], 'normal_contains': ['16.a1.a1', '24.c1.b1', '40.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.b1', 'projective_image': '240.137', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246338
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': ['180.f1.c1', '180.f1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.f1.a1', '4.f1.b1'], 'contains': ['16.c1.a1', '16.d1.a1', '24.d1.a1', '24.r1.a1', '40.h1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7475, 3701, 8956, 9772, 5757, 1175, 1688, 8683], 'generators': [12, 8, 960, 720, 288], 'label': '1440.2870.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1', '4.f1.a1', '4.f1.b1'], 'normal_contains': ['16.c1.a1', '24.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '240.144', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246339
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': ['180.f1.a1', '180.f1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '4.f1.a1', '4.f1.c1'], 'contains': ['16.c1.a1', '16.d1.b1', '24.d1.b1', '24.r1.b1', '40.h1.b1'], 'core': '8.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7475, 3701, 9769, 8400, 5757, 1175, 1584, 9631], 'generators': [900, 8, 960, 720, 288], 'label': '1440.2870.8.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': ['4.a1.b1', '4.f1.a1', '4.f1.c1'], 'normal_contains': ['16.c1.a1', '24.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.b1', 'projective_image': '240.144', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.c1.b1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246340
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': ['180.f1.c1', '180.f1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.f1.c1', '4.f1.d1'], 'contains': ['16.c1.a1', '16.d1.c1', '24.d1.c1', '24.r1.c1', '40.h1.c1'], 'core': '8.c1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7475, 3701, 8735, 7877, 5757, 1175, 1792, 9055], 'generators': [14, 8, 960, 720, 288], 'label': '1440.2870.8.c1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.c1', 'normal_contained_in': ['4.a1.a1', '4.f1.c1', '4.f1.d1'], 'normal_contains': ['16.c1.a1', '24.d1.c1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.c1', 'projective_image': '240.144', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.c1.c1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246341
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': ['180.f1.a1', '180.f1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '4.f1.b1', '4.f1.d1'], 'contains': ['16.c1.a1', '16.d1.d1', '24.d1.d1', '24.r1.d1', '40.h1.d1'], 'core': '8.c1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7475, 3701, 8294, 8825, 5757, 1175, 2000, 8106], 'generators': [902, 8, 960, 720, 288], 'label': '1440.2870.8.c1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.d1', 'normal_contained_in': ['4.a1.b1', '4.f1.b1', '4.f1.d1'], 'normal_contains': ['16.c1.a1', '24.d1.d1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.d1', 'projective_image': '240.144', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.c1.d1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246342
    {'ambient': '1440.2870', 'aut_centralizer_order': 480, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 960, 'centralizer': '4.b1.a1', 'complements': ['180.f1.a1', '180.f1.b1', '180.f1.c1', '180.f1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.f1.a1', '4.f1.d1'], 'contains': ['16.c1.a1', '24.e1.a1', '24.f1.a1', '24.s1.a1', '40.c1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9496, 1392, 8835, 9348, 9443, 583, 1896, 7532], 'generators': [360, 960, 288, 8, 720], 'label': '1440.2870.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.b1.a1', '4.f1.a1', '4.f1.d1'], 'normal_contains': ['16.c1.a1', '24.e1.a1', '24.f1.a1', '40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '240.144', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246343
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '120.a1.a1', 'complements': ['720.d1.a1', '720.d1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.b1', '4.d1.a1', '4.e1.a1', '6.b1.b1', '6.h1.b1', '10.c1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5233, 5390, 4541, 2479, 5386, 4896, 4911, 4312], 'generators': [601, 960, 8, 722, 900, 288, 720], 'label': '1440.2870.2.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.d1.a1', '4.e1.a1', '6.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '120.42', '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': '120.42'}
  • id: 75246344
    {'ambient': '1440.2870', 'aut_centralizer_order': 480, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 960, 'centralizer': '4.b1.a1', 'complements': ['180.f1.a1', '180.f1.b1', '180.f1.c1', '180.f1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.f1.b1', '4.f1.c1'], 'contains': ['16.c1.a1', '24.e1.b1', '24.f1.b1', '24.s1.b1', '40.c1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9496, 1392, 9603, 7453, 9443, 583, 952, 7162], 'generators': [362, 960, 288, 8, 720], 'label': '1440.2870.8.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': ['4.b1.a1', '4.f1.b1', '4.f1.c1'], 'normal_contains': ['16.c1.a1', '24.e1.b1', '24.f1.b1', '40.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.b1', 'projective_image': '240.144', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246345
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.g1.a1', '4.g1.b1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.d1.c1', '24.h1.a1', '24.i1.a1', '40.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1130, -1, 623, -1, 2022, -1, 6881, -1], 'generators': [2, 8, 960, 12, 288], 'label': '1440.2870.8.e1.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.e1.a1', 'projective_image': '240.137', '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': '60.8'}
  • id: 75246346
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '4.g1.c1', '4.g1.d1'], 'contains': ['16.a1.a1', '16.d1.b1', '16.d1.d1', '24.h1.b1', '24.i1.b1', '40.d1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1130, -1, 2291, -1, 2022, -1, 8491, -1], 'generators': [2, 8, 960, 900, 288], 'label': '1440.2870.8.e1.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.e1.b1', 'projective_image': '240.137', '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': '60.8'}
  • id: 75246347
    {'ambient': '1440.2870', 'aut_centralizer_order': 48, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.g1.a1', '4.g1.b1'], 'contains': ['16.a1.a1', '24.k1.a1', '24.l1.a1', '24.m1.a1', '40.e1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [561, -1, 429, -1, 650, -1, 8379, -1], 'generators': [15, 960, 2, 8, 288], 'label': '1440.2870.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.f1.a1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246348
    {'ambient': '1440.2870', 'aut_centralizer_order': 48, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '4.g1.c1', '4.g1.d1'], 'contains': ['16.a1.a1', '24.k1.b1', '24.l1.b1', '24.m1.b1', '40.e1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [561, -1, 1972, -1, 650, -1, 9412, -1], 'generators': [1381, 960, 2, 8, 288], 'label': '1440.2870.8.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '8.f1.b1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246349
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.b1.a1', '16.d1.a1', '16.d1.c1', '24.n1.a1', '24.o1.a1', '40.f1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2473, -1, 7511, -1, 2208, -1, 2926, -1], 'generators': [722, 8, 960, 12, 288], 'label': '1440.2870.8.g1.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.g1.a1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246350
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1'], 'contains': ['16.b1.a1', '16.d1.b1', '16.d1.d1', '24.n1.b1', '24.o1.b1', '40.f1.b1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2473, -1, 5555, -1, 2208, -1, 3415, -1], 'generators': [722, 8, 960, 900, 288], 'label': '1440.2870.8.g1.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.g1.b1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.b1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246351
    {'ambient': '1440.2870', 'aut_centralizer_order': 160, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '96.206', 'aut_weyl_index': 320, 'centralizer': '12.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.b1.a1', '24.p1.a1', '24.q1.a1', '40.g1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5990, -1, 6112, -1, 6663, -1, 3528, -1], 'generators': [601, 288, 722, 8, 960], 'label': '1440.2870.8.h1.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': '8.h1.a1', 'projective_image': '240.130', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 75246352
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2560.ec', 'aut_weyl_index': 12, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '3.b1.a1'], 'contains': ['18.a1.a1', '18.b1.a1', '18.b1.b1', '18.c1.a1', '18.c1.b1', '18.d1.a1', '18.e1.a1', '45.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6901, -1, 4138, -1, 6838, -1, 5290, -1], 'generators': [1, 288, 360, 2, 12, 720], 'label': '1440.2870.9.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '9.a1.a1', 'projective_image': '360.151', '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': '20.4'}
  • id: 75246353
    {'ambient': '1440.2870', 'aut_centralizer_order': 160, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1542', 'aut_weyl_index': 160, 'centralizer': '12.b1.a1', 'complements': ['144.d1.a1', '144.d1.b1', '144.d1.c1', '144.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.b1.a1', '20.c1.a1', '30.a1.a1', '30.h1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8442, 9275, 4931, 228, 7864, 8130, 4324, 1355], 'generators': [1, 960, 720, 360, 8, 2], 'label': '1440.2870.10.a1.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.d1.a1'], 'normal_contains': ['20.a1.a1', '20.b1.a1', '20.c1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '120.42', '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': '12.4'}
  • id: 75246354
    {'ambient': '1440.2870', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '120.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '4.f1.a1', '4.f1.b1', '4.f1.c1', '4.f1.d1', '6.c1.a1', '6.i1.a1', '10.d1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8852, 3290, 6888, 6314, 8361, 1763, 2307, 7566], 'generators': [2, 960, 360, 8, 12, 288, 720], 'label': '1440.2870.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '4.f1.a1', '4.f1.b1', '4.f1.c1', '4.f1.d1', '6.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246355
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '192.1542', 'aut_weyl_index': 160, 'centralizer': '60.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.b1.a1', '20.d1.a1', '20.e1.a1', '20.f1.a1', '20.f1.b1', '30.b1.a1', '30.e1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [4602, -1, 2435, -1, 3868, -1, 6339, -1], 'generators': [1, 960, 2, 12, 720, 8], 'label': '1440.2870.10.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246356
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '192.1542', 'aut_weyl_index': 160, 'centralizer': '60.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '5.a1.a1'], 'contains': ['20.b1.a1', '20.d1.b1', '20.e1.b1', '20.f1.c1', '20.f1.d1', '30.b1.b1', '30.e1.b1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [4602, -1, 2839, -1, 3868, -1, 6974, -1], 'generators': [1, 960, 2, 900, 720, 8], 'label': '1440.2870.10.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.b1.b1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 75246357
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '192.1542', 'aut_weyl_index': 160, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.c1.a1', '20.d1.a1', '20.e1.b1', '30.c1.a1', '30.f1.a1'], 'core': '20.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5394, -1, 6029, -1, 5558, -1, 4561, -1], 'generators': [601, 960, 720, 12, 8, 722], 'label': '1440.2870.10.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.c1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75246358
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '192.1542', 'aut_weyl_index': 160, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '5.a1.a1'], 'contains': ['20.c1.a1', '20.d1.b1', '20.e1.a1', '30.c1.b1', '30.f1.b1'], 'core': '20.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5394, -1, 4465, -1, 5558, -1, 4912, -1], 'generators': [601, 960, 720, 900, 8, 722], 'label': '1440.2870.10.c1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.c1.b1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75246359
    {'ambient': '1440.2870', 'aut_centralizer_order': 16, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '384.18491', 'aut_weyl_index': 80, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.d1.a1', '20.d1.b1', '20.g1.a1', '20.g1.b1', '20.g1.c1', '20.g1.d1', '30.d1.a1', '30.g1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8894, -1, 7386, -1, 8733, -1, 2307, -1], 'generators': [2, 960, 720, 12, 360, 8], 'label': '1440.2870.10.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.d1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 75246360
    {'ambient': '1440.2870', 'aut_centralizer_order': 48, 'aut_label': '10.e1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 240, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.e1.a1', '20.e1.b1', '30.i1.a1', '30.j1.a1', '30.k1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [6762, -1, 3848, -1, 6418, -1, 5654, -1], 'generators': [15, 720, 2, 360, 8, 960], 'label': '1440.2870.10.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.e1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 75246361
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.b1.a1', '24.d1.a1', '24.d1.c1', '24.i1.a1', '24.o1.a1', '36.c1.a1', '60.f1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3963, 5716, 6493, 4801, 4867, 3413, 3304, 6767], 'generators': [2, 720, 960, 12, 288], 'label': '1440.2870.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'normal_contains': ['24.b1.a1', '24.d1.a1', '24.d1.c1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '360.151', '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': '120.42'}
  • id: 75246362
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '6.a1.b1', '6.b1.b1', '6.c1.a1'], 'contains': ['24.b1.a1', '24.d1.b1', '24.d1.d1', '24.i1.b1', '24.o1.b1', '36.c1.b1', '60.f1.b1'], 'core': '12.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3963, 5716, 5355, 4321, 4867, 3413, 3916, 6347], 'generators': [2, 720, 960, 900, 288], 'label': '1440.2870.12.a1.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.a1.b1', 'normal_contained_in': ['4.a1.b1', '6.a1.b1', '6.b1.b1', '6.c1.a1'], 'normal_contains': ['24.b1.a1', '24.d1.b1', '24.d1.d1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.b1', 'projective_image': '360.151', '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': '120.42'}
  • id: 75246363
    {'ambient': '1440.2870', 'aut_centralizer_order': 960, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.45', 'aut_weyl_index': 960, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.d1.a1', '6.i1.a1', '6.j1.a1'], 'contains': ['24.a1.a1', '24.e1.a1', '24.e1.b1', '36.a1.a1', '60.a1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8315, 475, 6595, 6734, 8360, 1767, 2511, 5583], 'generators': [2, 8, 288, 360, 720], 'label': '1440.2870.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.d1.a1'], 'normal_contains': ['24.a1.a1', '24.e1.b1', '24.e1.a1', '36.a1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '120.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.1', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 75246364
    {'ambient': '1440.2870', 'aut_centralizer_order': 96, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '20.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.d1.a1', '6.g1.a1', '6.h1.b1'], 'contains': ['24.a1.a1', '24.k1.a1', '36.b1.a1', '60.i1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4159, 2256, 3190, 5784, 2586, 4636, 5762, 4568], 'generators': [15, 8, 2, 720, 288], 'label': '1440.2870.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.e1.a1', '6.d1.a1'], 'normal_contains': ['24.a1.a1', '36.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246365
    {'ambient': '1440.2870', 'aut_centralizer_order': 40, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.1083442', 'aut_weyl_index': 40, 'centralizer': '12.b1.a1', 'complements': ['720.d1.a1', '720.d1.b1', '720.d1.c1', '720.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.d1.a1', '6.e1.a1', '6.j1.a1', '10.a1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7927, 7099, 5181, 1292, 7441, 7080, 4324, 2015], 'generators': [1, 720, 8, 288, 360, 960, 2], 'label': '1440.2870.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.a1', '4.d1.a1', '6.e1.a1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '120.42', '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': '12.4'}
  • id: 75246366
    {'ambient': '1440.2870', 'aut_centralizer_order': 96, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '20.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '6.d1.a1', '6.g1.b1', '6.h1.a1'], 'contains': ['24.a1.a1', '24.k1.b1', '36.b1.b1', '60.i1.b1'], 'core': '12.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4159, 2256, 3651, 5352, 2586, 4636, 6776, 3810], 'generators': [1381, 8, 2, 720, 288], 'label': '1440.2870.12.c1.b1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1.b1', 'normal_contained_in': ['4.e1.b1', '6.d1.a1'], 'normal_contains': ['24.a1.a1', '36.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.b1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246367
    {'ambient': '1440.2870', 'aut_centralizer_order': 960, 'aut_label': '12.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '32.45', 'aut_weyl_index': 960, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.c1.a1', '6.e1.a1', '6.f1.a1'], 'contains': ['24.b1.a1', '24.f1.a1', '24.f1.b1', '36.a1.a1', '60.b1.a1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9357, 2920, 6389, 6211, 8544, 2355, 2718, 5953], 'generators': [2, 960, 288, 360, 720], 'label': '1440.2870.12.d1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.d1.a1', 'normal_contained_in': ['4.b1.a1', '6.c1.a1', '6.e1.a1', '6.f1.a1'], 'normal_contains': ['24.b1.a1', '24.f1.b1', '24.f1.a1', '36.a1.a1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '360.151', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 75246368
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '12.e1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '96.206', 'aut_weyl_index': 320, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1', '6.a1.b1', '6.e1.a1'], 'contains': ['24.b1.a1', '24.c1.a1', '24.c1.b1', '36.d1.a1', '60.c1.a1'], 'core': '12.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3627, 6782, 1403, 1638, 4038, 8383, 7215, 1457], 'generators': [1, 288, 2, 720, 960], 'label': '1440.2870.12.e1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.e1.a1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1', '6.a1.b1', '6.e1.a1'], 'normal_contains': ['24.b1.a1', '24.c1.b1', '24.c1.a1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '360.151', '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: 75246369
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '12.f1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '96.206', 'aut_weyl_index': 320, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.b1.a1', '6.b1.b1', '6.e1.a1'], 'contains': ['24.b1.a1', '24.q1.a1', '36.e1.a1', '60.d1.a1'], 'core': '12.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5788, 7562, 4975, 1038, 7069, 6481, 4348, 2653], 'generators': [601, 288, 722, 720, 960], 'label': '1440.2870.12.f1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.f1.a1', 'normal_contained_in': ['4.d1.a1', '6.b1.a1', '6.b1.b1', '6.e1.a1'], 'normal_contains': ['24.b1.a1', '60.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '360.151', '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': '12.4'}
  • id: 75246370
    {'ambient': '1440.2870', 'aut_centralizer_order': 96, 'aut_label': '12.g1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '40.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.a1.a1', '6.b1.b1', '6.f1.a1'], 'contains': ['24.b1.a1', '24.l1.a1', '36.b1.a1', '60.j1.a1'], 'core': '12.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4811, 4248, 3288, 3248, 2775, 5239, 5971, 4189], 'generators': [15, 960, 2, 720, 288], 'label': '1440.2870.12.g1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.g1.a1', 'normal_contained_in': ['4.e1.a1', '6.a1.a1', '6.b1.b1', '6.f1.a1'], 'normal_contains': ['24.b1.a1', '36.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.g1.a1', 'projective_image': '360.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
  • id: 75246371
    {'ambient': '1440.2870', 'aut_centralizer_order': 96, 'aut_label': '12.g1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '40.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '6.a1.b1', '6.b1.a1', '6.f1.a1'], 'contains': ['24.b1.a1', '24.l1.b1', '36.b1.b1', '60.j1.b1'], 'core': '12.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4811, 4248, 3552, 2815, 2775, 5239, 7463, 3061], 'generators': [1381, 960, 2, 720, 288], 'label': '1440.2870.12.g1.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.g1.b1', 'normal_contained_in': ['4.e1.b1', '6.a1.b1', '6.b1.a1', '6.f1.a1'], 'normal_contains': ['24.b1.a1', '36.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.g1.b1', 'projective_image': '360.151', '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': '40.13'}
  • id: 75246372
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '960.11038', 'aut_weyl_index': 32, 'centralizer': '120.a1.a1', 'complements': ['120.i1.a1', '120.i1.b1', '120.o1.a1', '120.j1.a1', '120.l1.a1', '120.j1.b1', '120.l1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.c1.a1'], 'contains': ['24.d1.a1', '24.d1.b1', '24.f1.a1', '36.g1.a1', '60.p1.a1'], 'core': '12.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9753, 3427, 8697, 8635, 9774, 128, 2080, 9343], 'generators': [12, 720, 960, 360, 288], 'label': '1440.2870.12.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.h1.a1', 'normal_contained_in': ['4.f1.a1', '6.c1.a1'], 'normal_contains': ['24.d1.a1', '24.d1.b1', '24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.h1.a1', 'projective_image': '720.608', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246373
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '960.11038', 'aut_weyl_index': 32, 'centralizer': '120.a1.a1', 'complements': ['120.i1.a1', '120.i1.b1', '120.j1.a1', '120.l1.a1', '120.o1.a1', '120.j1.b1', '120.l1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '6.c1.a1'], 'contains': ['24.d1.a1', '24.d1.d1', '24.f1.b1', '36.g1.b1', '60.p1.b1'], 'core': '12.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9753, 3427, 8206, 8206, 9774, 128, 1088, 7818], 'generators': [362, 720, 960, 12, 288], 'label': '1440.2870.12.h1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.h1.b1', 'normal_contained_in': ['4.f1.b1', '6.c1.a1'], 'normal_contains': ['24.d1.a1', '24.d1.d1', '24.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.h1.b1', 'projective_image': '720.608', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.h1.b1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246374
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '960.11038', 'aut_weyl_index': 32, 'centralizer': '120.a1.a1', 'complements': ['120.i1.a1', '120.i1.b1', '120.j1.b1', '120.l1.b1', '120.o1.a1', '120.j1.a1', '120.l1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.c1', '6.c1.a1'], 'contains': ['24.d1.b1', '24.d1.c1', '24.f1.b1', '36.g1.c1', '60.p1.c1'], 'core': '12.h1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9753, 3427, 9256, 7259, 9774, 128, 1032, 9919], 'generators': [362, 720, 960, 900, 288], 'label': '1440.2870.12.h1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.h1.c1', 'normal_contained_in': ['4.f1.c1', '6.c1.a1'], 'normal_contains': ['24.d1.b1', '24.d1.c1', '24.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.h1.c1', 'projective_image': '720.608', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.h1.c1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246375
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '960.11038', 'aut_weyl_index': 32, 'centralizer': '120.a1.a1', 'complements': ['120.i1.a1', '120.i1.b1', '120.o1.a1', '120.j1.a1', '120.l1.a1', '120.j1.b1', '120.l1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.d1', '6.c1.a1'], 'contains': ['24.d1.c1', '24.d1.d1', '24.f1.a1', '36.g1.d1', '60.p1.d1'], 'core': '12.h1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9753, 3427, 7959, 7917, 9774, 128, 2136, 8394], 'generators': [14, 720, 960, 360, 288], 'label': '1440.2870.12.h1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.h1.d1', 'normal_contained_in': ['4.f1.d1', '6.c1.a1'], 'normal_contains': ['24.d1.c1', '24.d1.d1', '24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.h1.d1', 'projective_image': '720.608', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.h1.d1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246376
    {'ambient': '1440.2870', 'aut_centralizer_order': 12, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2560.ec', 'aut_weyl_index': 12, 'centralizer': '40.a1.a1', 'complements': ['720.d1.a1', '720.d1.b1', '720.d1.c1', '720.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.e1.a1', '4.e1.b1', '6.d1.a1', '6.f1.a1', '6.k1.a1', '10.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6502, 2478, 3758, 4076, 6202, 3109, 5714, 5249], 'generators': [15, 720, 8, 960, 360, 288, 2], 'label': '1440.2870.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.e1.b1', '4.e1.a1', '6.d1.a1', '6.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '120.42', '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': '40.13'}
  • id: 75246377
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.g1.a1', '6.h1.a1', '6.i1.a1'], 'contains': ['24.a1.a1', '24.h1.a1', '24.n1.a1', '24.r1.a1', '24.r1.c1', '36.c1.a1', '60.e1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3276, -1, 6880, -1, 4643, -1, 3045, -1], 'generators': [2, 720, 8, 12, 288], 'label': '1440.2870.12.i1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.i1.a1', 'projective_image': '120.42', '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': '20.4'}
  • id: 75246378
    {'ambient': '1440.2870', 'aut_centralizer_order': 32, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '6.g1.b1', '6.h1.b1', '6.i1.a1'], 'contains': ['24.a1.a1', '24.h1.b1', '24.n1.b1', '24.r1.b1', '24.r1.d1', '36.c1.b1', '60.e1.b1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3276, -1, 5238, -1, 4643, -1, 3657, -1], 'generators': [2, 720, 8, 900, 288], 'label': '1440.2870.12.i1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.i1.b1', 'projective_image': '120.42', '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': '20.4'}
  • id: 75246379
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.45', 'aut_weyl_index': 960, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.g1.a1', '6.g1.b1', '6.j1.a1'], 'contains': ['24.a1.a1', '24.j1.a1', '24.j1.b1', '36.d1.a1', '60.g1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2884, -1, 1738, -1, 3835, -1, 6566, -1], 'generators': [1, 8, 288, 720, 2], 'label': '1440.2870.12.j1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.j1.a1', 'projective_image': '120.42', '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': '2.1'}
  • id: 75246380
    {'ambient': '1440.2870', 'aut_centralizer_order': 320, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.45', 'aut_weyl_index': 960, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.h1.a1', '6.h1.b1', '6.j1.a1'], 'contains': ['24.a1.a1', '24.p1.a1', '36.e1.a1', '60.h1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6230, -1, 5876, -1, 6866, -1, 4129, -1], 'generators': [601, 8, 288, 720, 722], 'label': '1440.2870.12.k1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.k1.a1', 'projective_image': '120.42', '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': '2.1'}
  • id: 75246381
    {'ambient': '1440.2870', 'aut_centralizer_order': 480, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 960, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.k1.a1'], 'contains': ['24.g1.a1', '24.s1.a1', '24.s1.b1', '36.a1.a1', '60.k1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7899, -1, 5082, -1, 8175, -1, 2821, -1], 'generators': [2, 968, 288, 360, 720], 'label': '1440.2870.12.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '12.l1.a1', 'projective_image': '360.151', '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': '2.1'}
  • id: 75246382
    {'ambient': '1440.2870', 'aut_centralizer_order': 48, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.k1.a1'], 'contains': ['24.g1.a1', '24.m1.a1', '36.b1.a1', '60.l1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3067, -1, 3069, -1, 2396, -1, 6077, -1], 'generators': [15, 968, 2, 720, 288], 'label': '1440.2870.12.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '12.m1.a1', 'projective_image': '360.151', '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': '20.4'}
  • id: 75246383
    {'ambient': '1440.2870', 'aut_centralizer_order': 48, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '40.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '6.k1.a1'], 'contains': ['24.g1.a1', '24.m1.b1', '36.b1.b1', '60.l1.b1'], 'core': '36.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3067, -1, 3431, -1, 2396, -1, 7702, -1], 'generators': [1381, 968, 2, 720, 288], 'label': '1440.2870.12.m1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '12.m1.b1', 'projective_image': '360.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246384
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.g1.a1'], 'contains': ['24.h1.a1', '24.j1.a1', '24.k1.a1', '36.f1.a1', '60.m1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [884, -1, 340, -1, 1183, -1, 7808, -1], 'generators': [1, 8, 2, 12, 288], 'label': '1440.2870.12.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '12.n1.a1', 'projective_image': '240.137', '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': '10.1'}
  • id: 75246385
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '6.g1.a1'], 'contains': ['24.h1.a1', '24.j1.b1', '24.k1.a1', '36.f1.b1', '60.m1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [884, -1, 682, -1, 1183, -1, 7912, -1], 'generators': [721, 8, 2, 12, 288], 'label': '1440.2870.12.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '12.n1.b1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246386
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.c1', '6.g1.b1'], 'contains': ['24.h1.b1', '24.j1.a1', '24.k1.b1', '36.f1.c1', '60.m1.c1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [884, -1, 1948, -1, 1183, -1, 8840, -1], 'generators': [961, 8, 2, 900, 288], 'label': '1440.2870.12.n1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '12.n1.c1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.c1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246387
    {'ambient': '1440.2870', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '120.a1.a1', 'complements': ['480.a1.a1', '480.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.a1.b1', '6.b1.a1', '6.b1.b1', '6.c1.a1', '6.e1.a1', '6.f1.a1', '9.a1.a1', '15.b1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6953, 5840, 4161, 2078, 6806, 4229, 5326, 3892], 'generators': [1, 960, 360, 2, 12, 288, 720], 'label': '1440.2870.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '6.a1.b1', '6.b1.a1', '6.b1.b1', '6.c1.a1', '6.e1.a1', '6.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '360.151', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '120.42'}
  • id: 75246388
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '160.236', 'aut_weyl_index': 192, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.d1', '6.g1.b1'], 'contains': ['24.h1.b1', '24.j1.b1', '24.k1.b1', '36.f1.d1', '60.m1.d1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [884, -1, 2482, -1, 1183, -1, 8944, -1], 'generators': [241, 8, 2, 900, 288], 'label': '1440.2870.12.n1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.b1', 'old_label': '12.n1.d1', 'projective_image': '240.137', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.d1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 75246389
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.a1.a1'], 'contains': ['24.c1.a1', '24.i1.a1', '24.l1.a1', '36.f1.a1', '60.n1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1256, -1, 185, -1, 1344, -1, 8207, -1], 'generators': [1, 2, 960, 12, 288], 'label': '1440.2870.12.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '12.o1.a1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.a1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246390
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '6.a1.a1'], 'contains': ['24.c1.b1', '24.i1.a1', '24.l1.a1', '36.f1.b1', '60.n1.b1'], 'core': '24.c1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1256, -1, 492, -1, 1344, -1, 8282, -1], 'generators': [241, 2, 960, 12, 288], 'label': '1440.2870.12.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '12.o1.b1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.b1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246391
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.c1', '6.a1.b1'], 'contains': ['24.c1.a1', '24.i1.b1', '24.l1.b1', '36.f1.c1', '60.n1.c1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1256, -1, 1655, -1, 1344, -1, 9239, -1], 'generators': [1, 2, 960, 900, 288], 'label': '1440.2870.12.o1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '12.o1.c1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.c1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246392
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '480.1197', 'aut_weyl_index': 64, 'centralizer': '120.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.d1', '6.a1.b1'], 'contains': ['24.c1.b1', '24.i1.b1', '24.l1.b1', '36.f1.d1', '60.n1.d1'], 'core': '24.c1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1256, -1, 2174, -1, 1344, -1, 9315, -1], 'generators': [241, 2, 960, 900, 288], 'label': '1440.2870.12.o1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '12.o1.d1', 'projective_image': '720.601', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.d1', 'subgroup_fusion': None, 'weyl_group': '60.8'}
  • id: 75246393
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 96, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.i1.a1'], 'contains': ['24.e1.a1', '24.r1.a1', '24.r1.b1', '36.g1.a1', '60.o1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9134, -1, 9377, -1, 9629, -1, 1169, -1], 'generators': [12, 8, 720, 360, 288], 'label': '1440.2870.12.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.p1.a1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246394
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 96, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '6.i1.a1'], 'contains': ['24.e1.b1', '24.r1.a1', '24.r1.d1', '36.g1.b1', '60.o1.b1'], 'core': '24.e1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9134, -1, 8577, -1, 9629, -1, 744, -1], 'generators': [362, 8, 720, 12, 288], 'label': '1440.2870.12.p1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.p1.b1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246395
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 96, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.c1', '6.i1.a1'], 'contains': ['24.e1.b1', '24.r1.b1', '24.r1.c1', '36.g1.c1', '60.o1.c1'], 'core': '24.e1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9134, -1, 9534, -1, 9629, -1, 537, -1], 'generators': [362, 8, 720, 900, 288], 'label': '1440.2870.12.p1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.p1.c1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.c1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246396
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 96, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.d1', '6.i1.a1'], 'contains': ['24.e1.a1', '24.r1.c1', '24.r1.d1', '36.g1.d1', '60.o1.d1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9134, -1, 8114, -1, 9629, -1, 1273, -1], 'generators': [14, 8, 720, 360, 288], 'label': '1440.2870.12.p1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.p1.d1', 'projective_image': '240.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.d1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 75246397
    {'ambient': '1440.2870', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 15, 'aut_weyl_group': '256.55643', 'aut_weyl_index': 120, 'centralizer': '60.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1.a1', '5.a1.a1'], 'contains': ['30.b1.a1', '30.b1.b1', '30.c1.a1', '30.c1.b1', '30.d1.a1', '30.h1.a1', '30.i1.a1', '45.a1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [7210, -1, 4165, -1, 7024, -1, 5186, -1], 'generators': [1, 720, 2, 12, 360, 8], 'label': '1440.2870.15.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '15.a1.a1', 'projective_image': '120.42', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}