Abstract group data - 17496.dd

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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': '2.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 108, 'aut_gen_orders': [12, 6, 2, 18, 9, 9], 'aut_gens': [[1, 2, 6, 12, 216, 1944], [7633, 4798, 7470, 5370, 15600, 9720], [743, 12290, 17196, 9810, 3984, 168], [7273, 13412, 8238, 16620, 11448, 1944], [16327, 14312, 6222, 16212, 1728, 15552], [15553, 7802, 6, 15564, 216, 1944], [11425, 3458, 3030, 3036, 216, 1944]], 'aut_group': '104976.cm', 'aut_hash': 4943934315161129378, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 104976, 'aut_permdeg': 54, 'aut_perms': [80921844170957661925850037414411517112016519629077729374873635435414295, 90253353516511385607023745271716507888491613954858843255879353167533484, 25057112980435408239966162249387198108453667014483517365886166714458400, 84885257423997270057071999946539314699476540370073624703423024364486023, 2681946394628507351825106479860358809306817527584630933619893381290930, 38556559696675406491322865454423054231139310745991242925287558044666159], 'aut_phi_ratio': 18.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 54, 1, 1], [2, 243, 1, 1], [3, 4, 2, 1], [3, 6, 1, 1], [3, 12, 1, 1], [3, 648, 1, 1], [4, 4374, 1, 1], [6, 54, 2, 1], [6, 108, 1, 1], [6, 108, 2, 1], [6, 486, 1, 1], [9, 4, 6, 1], [9, 6, 3, 1], [9, 12, 3, 1], [9, 12, 6, 4], [9, 24, 2, 1], [9, 24, 3, 2], [9, 24, 6, 1], [9, 648, 2, 1], [18, 54, 6, 1], [18, 108, 3, 1], [18, 108, 6, 5], [18, 486, 3, 1], [27, 648, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_9^3:(C_6\\times S_4)', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 108, 'autcentquo_group': '104976.cm', 'autcentquo_hash': 4943934315161129378, 'autcentquo_nilpotent': False, 'autcentquo_order': 104976, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_9^3:(C_6\\times S_4)', 'cc_stats': [[1, 1, 1], [2, 54, 1], [2, 243, 1], [3, 4, 2], [3, 6, 1], [3, 12, 1], [3, 648, 1], [4, 4374, 1], [6, 54, 2], [6, 108, 3], [6, 486, 1], [9, 4, 6], [9, 6, 3], [9, 12, 27], [9, 24, 14], [9, 648, 2], [18, 54, 6], [18, 108, 33], [18, 486, 3], [27, 648, 6]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '17496.dd', 'commutator_count': 1, 'commutator_label': '8748.gl', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 82, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 54, 1, 1], [2, 243, 1, 1], [3, 4, 2, 1], [3, 6, 1, 1], [3, 12, 1, 1], [3, 648, 1, 1], [4, 4374, 1, 1], [6, 54, 2, 1], [6, 108, 1, 1], [6, 108, 2, 1], [6, 486, 1, 1], [9, 4, 6, 1], [9, 6, 3, 1], [9, 12, 3, 1], [9, 12, 6, 4], [9, 24, 2, 1], [9, 24, 3, 2], [9, 24, 6, 1], [9, 648, 2, 1], [18, 54, 6, 1], [18, 108, 3, 1], [18, 108, 6, 5], [18, 486, 3, 1], [27, 648, 6, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1053, 'exponent': 108, 'exponents_of_order': [7, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 12], [6, 0, 6], [6, 1, 6], [8, 0, 6], [12, 0, 48], [12, 1, 6], [24, 0, 8], [24, 1, 6]], 'familial': False, 'frattini_label': '27.5', 'frattini_quotient': '648.704', 'hash': 4542207615025139725, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 108, 'inner_gen_orders': [4, 27, 18, 18, 9, 9], 'inner_gens': [[1, 274, 14358, 8322, 3984, 15552], [5351, 2, 6564, 14178, 13728, 48], [5305, 7652, 6, 6468, 11448, 1944], [127, 11816, 13206, 12, 1728, 15552], [13945, 4202, 8214, 444, 216, 1944], [3889, 2114, 6, 3900, 216, 1944]], 'inner_hash': 4542207615025139725, 'inner_nilpotent': False, 'inner_order': 17496, 'inner_split': True, 'inner_tex': 'C_9^3:S_4', 'inner_used': [1, 2], 'irrC_degree': 4, 'irrQ_degree': 18, 'irrQ_dim': 18, 'irrR_degree': 6, 'irrep_stats': [[1, 2], [2, 1], [3, 2], [4, 16], [6, 16], [8, 8], [12, 56], [24, 14]], 'label': '17496.dd', 'linC_count': 12, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 18, 'linQ_degree_count': 2, 'linQ_dim': 18, 'linQ_dim_count': 2, 'linR_count': 6, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C9^3:S4', 'ngens': 10, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 33, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 115, 'number_divisions': 33, 'number_normal_subgroups': 6, 'number_subgroup_autclasses': 219, 'number_subgroup_classes': 219, 'number_subgroups': 20240, 'old_label': None, 'order': 17496, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 297], [3, 674], [4, 4374], [6, 918], [9, 1998], [18, 5346], [27, 3888]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [6], 'outer_gen_pows': [0], 'outer_gens': [[15985, 3434, 11886, 11796, 432, 3888]], 'outer_group': '6.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 6, 'outer_permdeg': 5, 'outer_perms': [27], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_6', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 27, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 1], [3, 2], [6, 2], [8, 2], [12, 3], [16, 1], [18, 2], [24, 2], [36, 3], [48, 2], [72, 10], [144, 1]], 'representations': {'PC': {'code': '109669148368320058952442416520740154133966728006840818863965415789642934987224235449259998717214931255437590670427072629512031673693479161400785971391069503', 'gens': [1, 2, 3, 4, 7, 9], 'pres': [10, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 140220, 5481, 12491, 430742, 98472, 77782, 332883, 283573, 43143, 113, 410404, 205214, 1624, 194, 427685, 213855, 1465, 278886, 480496, 133586, 10116, 276, 938887, 239057, 172827, 8677, 1399688, 2178, 116678, 358, 1166409, 7219, 97239]}, 'Perm': {'d': 27, 'gens': [5840011686348595291398595199, 9211689358323398035325689650]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_9^3:S_4', 'transitive_degree': 27, '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: 153341457
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 82, 'group_order': 17496, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 153341484
    {'aut_label': '2A', 'centralizer': '54.b1.a1', 'counter': 2, 'group_counter': 82, 'group_order': 17496, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 8437, 'size': 54}
  • id: 153341495
    {'aut_label': '2B', 'centralizer': '243.a1.a1', 'counter': 3, 'group_counter': 82, 'group_order': 17496, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 7638, 'size': 243}
  • id: 153341506
    {'aut_label': '3A1', 'centralizer': '4.a1.a1', 'counter': 4, 'group_counter': 82, 'group_order': 17496, 'label': '3A1', 'order': 3, 'powers': [5, 1], 'representative': 720, 'size': 4}
  • id: 153341517
    {'aut_label': '3A1', 'centralizer': '4.a1.a1', 'counter': 5, 'group_counter': 82, 'group_order': 17496, 'label': '3A-1', 'order': 3, 'powers': [4, 1], 'representative': 1440, 'size': 4}
  • id: 153341528
    {'aut_label': '3B', 'centralizer': '6.b1.a1', 'counter': 6, 'group_counter': 82, 'group_order': 17496, 'label': '3B', 'order': 3, 'powers': [6, 1], 'representative': 5832, 'size': 6}
  • id: 153341539
    {'aut_label': '3C', 'centralizer': '12.a1.a1', 'counter': 7, 'group_counter': 82, 'group_order': 17496, 'label': '3C', 'order': 3, 'powers': [7, 1], 'representative': 648, 'size': 12}
  • id: 153341550
    {'aut_label': '3D', 'centralizer': '648.i1.a1', 'counter': 8, 'group_counter': 82, 'group_order': 17496, 'label': '3D', 'order': 3, 'powers': [8, 1], 'representative': 8084, 'size': 648}
  • id: 153341561
    {'aut_label': '4A', 'centralizer': '4374.b1.a1', 'counter': 9, 'group_counter': 82, 'group_order': 17496, 'label': '4A', 'order': 4, 'powers': [3, 9], 'representative': 4897, 'size': 4374}
  • id: 153341458
    {'aut_label': '6A1', 'centralizer': '54.b1.a1', 'counter': 10, 'group_counter': 82, 'group_order': 17496, 'label': '6A1', 'order': 6, 'powers': [6, 2], 'representative': 2605, 'size': 54}
  • id: 153341469
    {'aut_label': '6A1', 'centralizer': '54.b1.a1', 'counter': 11, 'group_counter': 82, 'group_order': 17496, 'label': '6A-1', 'order': 6, 'powers': [6, 2], 'representative': 14269, 'size': 54}
  • id: 153341476
    {'aut_label': '6B', 'centralizer': '108.a1.a1', 'counter': 12, 'group_counter': 82, 'group_order': 17496, 'label': '6B', 'order': 6, 'powers': [7, 2], 'representative': 11485, 'size': 108}
  • id: 153341477
    {'aut_label': '6C1', 'centralizer': '108.a1.a1', 'counter': 13, 'group_counter': 82, 'group_order': 17496, 'label': '6C1', 'order': 6, 'powers': [5, 2], 'representative': 14501, 'size': 108}
  • id: 153341478
    {'aut_label': '6C1', 'centralizer': '108.a1.a1', 'counter': 14, 'group_counter': 82, 'group_order': 17496, 'label': '6C-1', 'order': 6, 'powers': [4, 2], 'representative': 8165, 'size': 108}
  • id: 153341479
    {'aut_label': '6D', 'centralizer': '486.a1.a1', 'counter': 15, 'group_counter': 82, 'group_order': 17496, 'label': '6D', 'order': 6, 'powers': [6, 3], 'representative': 5148, 'size': 486}
  • id: 153341480
    {'aut_label': '9A1', 'centralizer': '4.a1.a1', 'counter': 16, 'group_counter': 82, 'group_order': 17496, 'label': '9A1', 'order': 9, 'powers': [18, 4], 'representative': 456, 'size': 4}
  • id: 153341481
    {'aut_label': '9A1', 'centralizer': '4.a1.a1', 'counter': 17, 'group_counter': 82, 'group_order': 17496, 'label': '9A-1', 'order': 9, 'powers': [19, 5], 'representative': 1704, 'size': 4}
  • id: 153341482
    {'aut_label': '9A1', 'centralizer': '4.a1.a1', 'counter': 18, 'group_counter': 82, 'group_order': 17496, 'label': '9A2', 'order': 9, 'powers': [20, 5], 'representative': 912, 'size': 4}
  • id: 153341483
    {'aut_label': '9A1', 'centralizer': '4.a1.a1', 'counter': 19, 'group_counter': 82, 'group_order': 17496, 'label': '9A-2', 'order': 9, 'powers': [21, 4], 'representative': 1248, 'size': 4}
  • id: 153341485
    {'aut_label': '9A1', 'centralizer': '4.a1.a1', 'counter': 20, 'group_counter': 82, 'group_order': 17496, 'label': '9A4', 'order': 9, 'powers': [17, 4], 'representative': 1824, 'size': 4}
  • id: 153341486
    {'aut_label': '9A1', 'centralizer': '4.a1.a1', 'counter': 21, 'group_counter': 82, 'group_order': 17496, 'label': '9A-4', 'order': 9, 'powers': [16, 5], 'representative': 336, 'size': 4}
  • id: 153341487
    {'aut_label': '9B1', 'centralizer': '6.b1.a1', 'counter': 22, 'group_counter': 82, 'group_order': 17496, 'label': '9B1', 'order': 9, 'powers': [23, 6], 'representative': 1944, 'size': 6}
  • id: 153341488
    {'aut_label': '9B1', 'centralizer': '6.b1.a1', 'counter': 23, 'group_counter': 82, 'group_order': 17496, 'label': '9B2', 'order': 9, 'powers': [24, 6], 'representative': 3888, 'size': 6}
  • id: 153341489
    {'aut_label': '9B1', 'centralizer': '6.b1.a1', 'counter': 24, 'group_counter': 82, 'group_order': 17496, 'label': '9B4', 'order': 9, 'powers': [22, 6], 'representative': 7776, 'size': 6}
  • id: 153341490
    {'aut_label': '9C1', 'centralizer': '12.a1.a1', 'counter': 25, 'group_counter': 82, 'group_order': 17496, 'label': '9C1', 'order': 9, 'powers': [26, 7], 'representative': 11256, 'size': 12}
  • id: 153341491
    {'aut_label': '9C1', 'centralizer': '12.a1.a1', 'counter': 26, 'group_counter': 82, 'group_order': 17496, 'label': '9C2', 'order': 9, 'powers': [27, 7], 'representative': 3072, 'size': 12}
  • id: 153341492
    {'aut_label': '9C1', 'centralizer': '12.a1.a1', 'counter': 27, 'group_counter': 82, 'group_order': 17496, 'label': '9C4', 'order': 9, 'powers': [25, 7], 'representative': 4200, 'size': 12}
  • id: 153341493
    {'aut_label': '9D1', 'centralizer': '12.a1.a1', 'counter': 28, 'group_counter': 82, 'group_order': 17496, 'label': '9D1', 'order': 9, 'powers': [30, 6], 'representative': 15048, 'size': 12}
  • id: 153341494
    {'aut_label': '9D1', 'centralizer': '12.a1.a1', 'counter': 29, 'group_counter': 82, 'group_order': 17496, 'label': '9D-1', 'order': 9, 'powers': [31, 6], 'representative': 4608, 'size': 12}
  • id: 153341496
    {'aut_label': '9D1', 'centralizer': '12.a1.a1', 'counter': 30, 'group_counter': 82, 'group_order': 17496, 'label': '9D2', 'order': 9, 'powers': [32, 6], 'representative': 10440, 'size': 12}
  • id: 153341497
    {'aut_label': '9D1', 'centralizer': '12.a1.a1', 'counter': 31, 'group_counter': 82, 'group_order': 17496, 'label': '9D-2', 'order': 9, 'powers': [33, 6], 'representative': 9216, 'size': 12}
  • id: 153341498
    {'aut_label': '9D1', 'centralizer': '12.a1.a1', 'counter': 32, 'group_counter': 82, 'group_order': 17496, 'label': '9D4', 'order': 9, 'powers': [29, 6], 'representative': 3384, 'size': 12}
  • id: 153341499
    {'aut_label': '9D1', 'centralizer': '12.a1.a1', 'counter': 33, 'group_counter': 82, 'group_order': 17496, 'label': '9D-4', 'order': 9, 'powers': [28, 6], 'representative': 16272, 'size': 12}
  • id: 153341500
    {'aut_label': '9E1', 'centralizer': '12.a1.a1', 'counter': 34, 'group_counter': 82, 'group_order': 17496, 'label': '9E1', 'order': 9, 'powers': [36, 5], 'representative': 14496, 'size': 12}
  • id: 153341501
    {'aut_label': '9E1', 'centralizer': '12.a1.a1', 'counter': 35, 'group_counter': 82, 'group_order': 17496, 'label': '9E-1', 'order': 9, 'powers': [37, 4], 'representative': 5160, 'size': 12}
  • id: 153341502
    {'aut_label': '9E1', 'centralizer': '12.a1.a1', 'counter': 36, 'group_counter': 82, 'group_order': 17496, 'label': '9E2', 'order': 9, 'powers': [38, 4], 'representative': 11496, 'size': 12}
  • id: 153341503
    {'aut_label': '9E1', 'centralizer': '12.a1.a1', 'counter': 37, 'group_counter': 82, 'group_order': 17496, 'label': '9E-2', 'order': 9, 'powers': [39, 5], 'representative': 8160, 'size': 12}
  • id: 153341504
    {'aut_label': '9E1', 'centralizer': '12.a1.a1', 'counter': 38, 'group_counter': 82, 'group_order': 17496, 'label': '9E4', 'order': 9, 'powers': [35, 5], 'representative': 3552, 'size': 12}
  • id: 153341505
    {'aut_label': '9E1', 'centralizer': '12.a1.a1', 'counter': 39, 'group_counter': 82, 'group_order': 17496, 'label': '9E-4', 'order': 9, 'powers': [34, 4], 'representative': 16104, 'size': 12}
  • id: 153341507
    {'aut_label': '9F1', 'centralizer': '12.a1.a1', 'counter': 40, 'group_counter': 82, 'group_order': 17496, 'label': '9F1', 'order': 9, 'powers': [42, 4], 'representative': 13560, 'size': 12}
  • id: 153341508
    {'aut_label': '9F1', 'centralizer': '12.a1.a1', 'counter': 41, 'group_counter': 82, 'group_order': 17496, 'label': '9F-1', 'order': 9, 'powers': [43, 5], 'representative': 6096, 'size': 12}
  • id: 153341509
    {'aut_label': '9F1', 'centralizer': '12.a1.a1', 'counter': 42, 'group_counter': 82, 'group_order': 17496, 'label': '9F2', 'order': 9, 'powers': [44, 5], 'representative': 7464, 'size': 12}
  • id: 153341510
    {'aut_label': '9F1', 'centralizer': '12.a1.a1', 'counter': 43, 'group_counter': 82, 'group_order': 17496, 'label': '9F-2', 'order': 9, 'powers': [45, 4], 'representative': 12192, 'size': 12}
  • id: 153341511
    {'aut_label': '9F1', 'centralizer': '12.a1.a1', 'counter': 44, 'group_counter': 82, 'group_order': 17496, 'label': '9F4', 'order': 9, 'powers': [41, 4], 'representative': 12768, 'size': 12}
  • id: 153341512
    {'aut_label': '9F1', 'centralizer': '12.a1.a1', 'counter': 45, 'group_counter': 82, 'group_order': 17496, 'label': '9F-4', 'order': 9, 'powers': [40, 5], 'representative': 6888, 'size': 12}
  • id: 153341513
    {'aut_label': '9G1', 'centralizer': '12.a1.a1', 'counter': 46, 'group_counter': 82, 'group_order': 17496, 'label': '9G1', 'order': 9, 'powers': [48, 7], 'representative': 14544, 'size': 12}
  • id: 153341514
    {'aut_label': '9G1', 'centralizer': '12.a1.a1', 'counter': 47, 'group_counter': 82, 'group_order': 17496, 'label': '9G-1', 'order': 9, 'powers': [49, 7], 'representative': 5112, 'size': 12}
  • id: 153341515
    {'aut_label': '9G1', 'centralizer': '12.a1.a1', 'counter': 48, 'group_counter': 82, 'group_order': 17496, 'label': '9G2', 'order': 9, 'powers': [50, 7], 'representative': 11592, 'size': 12}
  • id: 153341516
    {'aut_label': '9G1', 'centralizer': '12.a1.a1', 'counter': 49, 'group_counter': 82, 'group_order': 17496, 'label': '9G-2', 'order': 9, 'powers': [51, 7], 'representative': 8064, 'size': 12}
  • id: 153341518
    {'aut_label': '9G1', 'centralizer': '12.a1.a1', 'counter': 50, 'group_counter': 82, 'group_order': 17496, 'label': '9G4', 'order': 9, 'powers': [47, 7], 'representative': 3528, 'size': 12}
  • id: 153341519
    {'aut_label': '9G1', 'centralizer': '12.a1.a1', 'counter': 51, 'group_counter': 82, 'group_order': 17496, 'label': '9G-4', 'order': 9, 'powers': [46, 7], 'representative': 16128, 'size': 12}
  • id: 153341520
    {'aut_label': '9H1', 'centralizer': '24.a1.a1', 'counter': 52, 'group_counter': 82, 'group_order': 17496, 'label': '9H1', 'order': 9, 'powers': [53, 4], 'representative': 6072, 'size': 24}
  • id: 153341521
    {'aut_label': '9H1', 'centralizer': '24.a1.a1', 'counter': 53, 'group_counter': 82, 'group_order': 17496, 'label': '9H-1', 'order': 9, 'powers': [52, 5], 'representative': 2184, 'size': 24}
  • id: 153341522
    {'aut_label': '9I1', 'centralizer': '24.a1.a1', 'counter': 54, 'group_counter': 82, 'group_order': 17496, 'label': '9I1', 'order': 9, 'powers': [55, 6], 'representative': 2592, 'size': 24}
  • id: 153341523
    {'aut_label': '9I1', 'centralizer': '24.a1.a1', 'counter': 55, 'group_counter': 82, 'group_order': 17496, 'label': '9I2', 'order': 9, 'powers': [56, 6], 'representative': 2016, 'size': 24}
  • id: 153341524
    {'aut_label': '9I1', 'centralizer': '24.a1.a1', 'counter': 56, 'group_counter': 82, 'group_order': 17496, 'label': '9I4', 'order': 9, 'powers': [54, 6], 'representative': 3240, 'size': 24}
  • id: 153341525
    {'aut_label': '9J1', 'centralizer': '24.a1.a1', 'counter': 57, 'group_counter': 82, 'group_order': 17496, 'label': '9J1', 'order': 9, 'powers': [58, 7], 'representative': 6048, 'size': 24}
  • id: 153341526
    {'aut_label': '9J1', 'centralizer': '24.a1.a1', 'counter': 58, 'group_counter': 82, 'group_order': 17496, 'label': '9J2', 'order': 9, 'powers': [59, 7], 'representative': 11880, 'size': 24}
  • id: 153341527
    {'aut_label': '9J1', 'centralizer': '24.a1.a1', 'counter': 59, 'group_counter': 82, 'group_order': 17496, 'label': '9J4', 'order': 9, 'powers': [57, 7], 'representative': 1968, 'size': 24}
  • id: 153341529
    {'aut_label': '9K1', 'centralizer': '24.a1.a1', 'counter': 60, 'group_counter': 82, 'group_order': 17496, 'label': '9K1', 'order': 9, 'powers': [62, 7], 'representative': 6120, 'size': 24}
  • id: 153341530
    {'aut_label': '9K1', 'centralizer': '24.a1.a1', 'counter': 61, 'group_counter': 82, 'group_order': 17496, 'label': '9K-1', 'order': 9, 'powers': [63, 7], 'representative': 2232, 'size': 24}
  • id: 153341531
    {'aut_label': '9K1', 'centralizer': '24.a1.a1', 'counter': 62, 'group_counter': 82, 'group_order': 17496, 'label': '9K2', 'order': 9, 'powers': [64, 7], 'representative': 3264, 'size': 24}
  • id: 153341532
    {'aut_label': '9K1', 'centralizer': '24.a1.a1', 'counter': 63, 'group_counter': 82, 'group_order': 17496, 'label': '9K-2', 'order': 9, 'powers': [65, 7], 'representative': 11952, 'size': 24}
  • id: 153341533
    {'aut_label': '9K1', 'centralizer': '24.a1.a1', 'counter': 64, 'group_counter': 82, 'group_order': 17496, 'label': '9K4', 'order': 9, 'powers': [61, 7], 'representative': 6336, 'size': 24}
  • id: 153341534
    {'aut_label': '9K1', 'centralizer': '24.a1.a1', 'counter': 65, 'group_counter': 82, 'group_order': 17496, 'label': '9K-4', 'order': 9, 'powers': [60, 7], 'representative': 2640, 'size': 24}
  • id: 153341535
    {'aut_label': '9L1', 'centralizer': '648.i1.a1', 'counter': 66, 'group_counter': 82, 'group_order': 17496, 'label': '9L1', 'order': 9, 'powers': [67, 5], 'representative': 13256, 'size': 648}
  • id: 153341536
    {'aut_label': '9L1', 'centralizer': '648.i1.a1', 'counter': 67, 'group_counter': 82, 'group_order': 17496, 'label': '9L-1', 'order': 9, 'powers': [66, 4], 'representative': 2614, 'size': 648}
  • id: 153341537
    {'aut_label': '18A1', 'centralizer': '54.b1.a1', 'counter': 68, 'group_counter': 82, 'group_order': 17496, 'label': '18A1', 'order': 18, 'powers': [22, 10], 'representative': 661, 'size': 54}
  • id: 153341538
    {'aut_label': '18A1', 'centralizer': '54.b1.a1', 'counter': 69, 'group_counter': 82, 'group_order': 17496, 'label': '18A-1', 'order': 18, 'powers': [22, 11], 'representative': 3973, 'size': 54}
  • id: 153341540
    {'aut_label': '18A1', 'centralizer': '54.b1.a1', 'counter': 70, 'group_counter': 82, 'group_order': 17496, 'label': '18A5', 'order': 18, 'powers': [24, 11], 'representative': 1949, 'size': 54}
  • id: 153341541
    {'aut_label': '18A1', 'centralizer': '54.b1.a1', 'counter': 71, 'group_counter': 82, 'group_order': 17496, 'label': '18A-5', 'order': 18, 'powers': [24, 10], 'representative': 85, 'size': 54}
  • id: 153341542
    {'aut_label': '18A1', 'centralizer': '54.b1.a1', 'counter': 72, 'group_counter': 82, 'group_order': 17496, 'label': '18A7', 'order': 18, 'powers': [23, 10], 'representative': 6493, 'size': 54}
  • id: 153341543
    {'aut_label': '18A1', 'centralizer': '54.b1.a1', 'counter': 73, 'group_counter': 82, 'group_order': 17496, 'label': '18A-7', 'order': 18, 'powers': [23, 11], 'representative': 2093, 'size': 54}
  • id: 153341544
    {'aut_label': '18B1', 'centralizer': '108.a1.a1', 'counter': 74, 'group_counter': 82, 'group_order': 17496, 'label': '18B1', 'order': 18, 'powers': [25, 12], 'representative': 229, 'size': 108}
  • id: 153341545
    {'aut_label': '18B1', 'centralizer': '108.a1.a1', 'counter': 75, 'group_counter': 82, 'group_order': 17496, 'label': '18B5', 'order': 18, 'powers': [27, 12], 'representative': 301, 'size': 108}
  • id: 153341546
    {'aut_label': '18B1', 'centralizer': '108.a1.a1', 'counter': 76, 'group_counter': 82, 'group_order': 17496, 'label': '18B7', 'order': 18, 'powers': [26, 12], 'representative': 253, 'size': 108}
  • id: 153341547
    {'aut_label': '18C1', 'centralizer': '108.a1.a1', 'counter': 77, 'group_counter': 82, 'group_order': 17496, 'label': '18C1', 'order': 18, 'powers': [28, 10], 'representative': 13, 'size': 108}
  • id: 153341548
    {'aut_label': '18C1', 'centralizer': '108.a1.a1', 'counter': 78, 'group_counter': 82, 'group_order': 17496, 'label': '18C-1', 'order': 18, 'powers': [29, 11], 'representative': 9733, 'size': 108}
  • id: 153341549
    {'aut_label': '18C1', 'centralizer': '108.a1.a1', 'counter': 79, 'group_counter': 82, 'group_order': 17496, 'label': '18C5', 'order': 18, 'powers': [33, 11], 'representative': 225, 'size': 108}
  • id: 153341551
    {'aut_label': '18C1', 'centralizer': '108.a1.a1', 'counter': 80, 'group_counter': 82, 'group_order': 17496, 'label': '18C-5', 'order': 18, 'powers': [32, 10], 'representative': 11677, 'size': 108}
  • id: 153341552
    {'aut_label': '18C1', 'centralizer': '108.a1.a1', 'counter': 81, 'group_counter': 82, 'group_order': 17496, 'label': '18C7', 'order': 18, 'powers': [31, 10], 'representative': 5845, 'size': 108}
  • id: 153341553
    {'aut_label': '18C1', 'centralizer': '108.a1.a1', 'counter': 82, 'group_counter': 82, 'group_order': 17496, 'label': '18C-7', 'order': 18, 'powers': [30, 11], 'representative': 3901, 'size': 108}
  • id: 153341554
    {'aut_label': '18D1', 'centralizer': '108.a1.a1', 'counter': 83, 'group_counter': 82, 'group_order': 17496, 'label': '18D1', 'order': 18, 'powers': [34, 13], 'representative': 5, 'size': 108}
  • id: 153341555
    {'aut_label': '18D1', 'centralizer': '108.a1.a1', 'counter': 84, 'group_counter': 82, 'group_order': 17496, 'label': '18D-1', 'order': 18, 'powers': [35, 14], 'representative': 37, 'size': 108}
  • id: 153341556
    {'aut_label': '18D1', 'centralizer': '108.a1.a1', 'counter': 85, 'group_counter': 82, 'group_order': 17496, 'label': '18D5', 'order': 18, 'powers': [39, 14], 'representative': 5851, 'size': 108}
  • id: 153341557
    {'aut_label': '18D1', 'centralizer': '108.a1.a1', 'counter': 86, 'group_counter': 82, 'group_order': 17496, 'label': '18D-5', 'order': 18, 'powers': [38, 13], 'representative': 2173, 'size': 108}
  • id: 153341558
    {'aut_label': '18D1', 'centralizer': '108.a1.a1', 'counter': 87, 'group_counter': 82, 'group_order': 17496, 'label': '18D7', 'order': 18, 'powers': [37, 13], 'representative': 5909, 'size': 108}
  • id: 153341559
    {'aut_label': '18D1', 'centralizer': '108.a1.a1', 'counter': 88, 'group_counter': 82, 'group_order': 17496, 'label': '18D-7', 'order': 18, 'powers': [36, 14], 'representative': 657, 'size': 108}
  • id: 153341560
    {'aut_label': '18E1', 'centralizer': '108.a1.a1', 'counter': 89, 'group_counter': 82, 'group_order': 17496, 'label': '18E1', 'order': 18, 'powers': [16, 14], 'representative': 19, 'size': 108}
  • id: 153341562
    {'aut_label': '18E1', 'centralizer': '108.a1.a1', 'counter': 90, 'group_counter': 82, 'group_order': 17496, 'label': '18E-1', 'order': 18, 'powers': [17, 13], 'representative': 11669, 'size': 108}
  • id: 153341563
    {'aut_label': '18E1', 'centralizer': '108.a1.a1', 'counter': 91, 'group_counter': 82, 'group_order': 17496, 'label': '18E5', 'order': 18, 'powers': [21, 13], 'representative': 6277, 'size': 108}
  • id: 153341564
    {'aut_label': '18E1', 'centralizer': '108.a1.a1', 'counter': 92, 'group_counter': 82, 'group_order': 17496, 'label': '18E-5', 'order': 18, 'powers': [20, 14], 'representative': 5841, 'size': 108}
  • id: 153341565
    {'aut_label': '18E1', 'centralizer': '108.a1.a1', 'counter': 93, 'group_counter': 82, 'group_order': 17496, 'label': '18E7', 'order': 18, 'powers': [19, 14], 'representative': 5869, 'size': 108}
  • id: 153341566
    {'aut_label': '18E1', 'centralizer': '108.a1.a1', 'counter': 94, 'group_counter': 82, 'group_order': 17496, 'label': '18E-7', 'order': 18, 'powers': [18, 13], 'representative': 77, 'size': 108}
  • id: 153341567
    {'aut_label': '18F1', 'centralizer': '108.a1.a1', 'counter': 95, 'group_counter': 82, 'group_order': 17496, 'label': '18F1', 'order': 18, 'powers': [40, 14], 'representative': 9, 'size': 108}
  • id: 153341568
    {'aut_label': '18F1', 'centralizer': '108.a1.a1', 'counter': 96, 'group_counter': 82, 'group_order': 17496, 'label': '18F-1', 'order': 18, 'powers': [41, 13], 'representative': 149, 'size': 108}
  • id: 153341569
    {'aut_label': '18F1', 'centralizer': '108.a1.a1', 'counter': 97, 'group_counter': 82, 'group_order': 17496, 'label': '18F5', 'order': 18, 'powers': [45, 13], 'representative': 3949, 'size': 108}
  • id: 153341570
    {'aut_label': '18F1', 'centralizer': '108.a1.a1', 'counter': 98, 'group_counter': 82, 'group_order': 17496, 'label': '18F-5', 'order': 18, 'powers': [44, 14], 'representative': 685, 'size': 108}
  • id: 153341571
    {'aut_label': '18F1', 'centralizer': '108.a1.a1', 'counter': 99, 'group_counter': 82, 'group_order': 17496, 'label': '18F7', 'order': 18, 'powers': [43, 14], 'representative': 91, 'size': 108}
  • id: 153341459
    {'aut_label': '18F1', 'centralizer': '108.a1.a1', 'counter': 100, 'group_counter': 82, 'group_order': 17496, 'label': '18F-7', 'order': 18, 'powers': [42, 13], 'representative': 445, 'size': 108}
  • id: 153341460
    {'aut_label': '18G1', 'centralizer': '108.a1.a1', 'counter': 101, 'group_counter': 82, 'group_order': 17496, 'label': '18G1', 'order': 18, 'powers': [46, 12], 'representative': 29, 'size': 108}
  • id: 153341461
    {'aut_label': '18G1', 'centralizer': '108.a1.a1', 'counter': 102, 'group_counter': 82, 'group_order': 17496, 'label': '18G-1', 'order': 18, 'powers': [47, 12], 'representative': 1525, 'size': 108}
  • id: 153341462
    {'aut_label': '18G1', 'centralizer': '108.a1.a1', 'counter': 103, 'group_counter': 82, 'group_order': 17496, 'label': '18G5', 'order': 18, 'powers': [51, 12], 'representative': 11893, 'size': 108}
  • id: 153341463
    {'aut_label': '18G1', 'centralizer': '108.a1.a1', 'counter': 104, 'group_counter': 82, 'group_order': 17496, 'label': '18G-5', 'order': 18, 'powers': [50, 12], 'representative': 6061, 'size': 108}
  • id: 153341464
    {'aut_label': '18G1', 'centralizer': '108.a1.a1', 'counter': 105, 'group_counter': 82, 'group_order': 17496, 'label': '18G7', 'order': 18, 'powers': [49, 12], 'representative': 877, 'size': 108}
  • id: 153341465
    {'aut_label': '18G1', 'centralizer': '108.a1.a1', 'counter': 106, 'group_counter': 82, 'group_order': 17496, 'label': '18G-7', 'order': 18, 'powers': [48, 12], 'representative': 6709, 'size': 108}
  • id: 153341466
    {'aut_label': '18H1', 'centralizer': '486.a1.a1', 'counter': 107, 'group_counter': 82, 'group_order': 17496, 'label': '18H1', 'order': 18, 'powers': [22, 15], 'representative': 5100, 'size': 486}
  • id: 153341467
    {'aut_label': '18H1', 'centralizer': '486.a1.a1', 'counter': 108, 'group_counter': 82, 'group_order': 17496, 'label': '18H5', 'order': 18, 'powers': [24, 15], 'representative': 4980, 'size': 486}
  • id: 153341468
    {'aut_label': '18H1', 'centralizer': '486.a1.a1', 'counter': 109, 'group_counter': 82, 'group_order': 17496, 'label': '18H7', 'order': 18, 'powers': [23, 15], 'representative': 5028, 'size': 486}
  • id: 153341470
    {'aut_label': '27A1', 'centralizer': '648.k1.a1', 'counter': 110, 'group_counter': 82, 'group_order': 17496, 'label': '27A1', 'order': 27, 'powers': [112, 20], 'representative': 3218, 'size': 648}
  • id: 153341471
    {'aut_label': '27A1', 'centralizer': '648.k1.a1', 'counter': 111, 'group_counter': 82, 'group_order': 17496, 'label': '27A-1', 'order': 27, 'powers': [113, 21], 'representative': 10684, 'size': 648}
  • id: 153341472
    {'aut_label': '27A1', 'centralizer': '648.k1.a1', 'counter': 112, 'group_counter': 82, 'group_order': 17496, 'label': '27A2', 'order': 27, 'powers': [114, 17], 'representative': 10564, 'size': 648}
  • id: 153341473
    {'aut_label': '27A1', 'centralizer': '648.k1.a1', 'counter': 113, 'group_counter': 82, 'group_order': 17496, 'label': '27A-2', 'order': 27, 'powers': [115, 16], 'representative': 3338, 'size': 648}
  • id: 153341474
    {'aut_label': '27A1', 'centralizer': '648.k1.a1', 'counter': 114, 'group_counter': 82, 'group_order': 17496, 'label': '27A4', 'order': 27, 'powers': [111, 19], 'representative': 2882, 'size': 648}
  • id: 153341475
    {'aut_label': '27A1', 'centralizer': '648.k1.a1', 'counter': 115, 'group_counter': 82, 'group_order': 17496, 'label': '27A-4', 'order': 27, 'powers': [110, 18], 'representative': 10804, 'size': 648}
• 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: 14794522
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.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], 'schur_index': 1}
  • id: 14794533
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.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], 'schur_index': 1}
  • id: 14794544
    {'cdim': 2, 'counter': 3, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 0, 2, 2, 2, 2, 2, -1, 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, -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, 2, 2, 2, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 14794549
    {'cdim': 3, 'counter': 4, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.3a', 'multiplicity': 1, 'nt': [4, 5], 'qdim': 3, 'qvalues': [3, 1, -1, 3, 3, 3, 3, 0, -1, 1, 1, 1, 1, 1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794550
    {'cdim': 3, 'counter': 5, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.3b', 'multiplicity': 1, 'nt': [6, 8], 'qdim': 3, 'qvalues': [3, -1, -1, 3, 3, 3, 3, 0, 1, -1, -1, -1, -1, -1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794523
    {'cdim': 6, 'counter': 10, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.6a', 'multiplicity': 1, 'nt': [9, 29], 'qdim': 6, 'qvalues': [6, 2, 2, 6, 6, 6, 6, 0, 0, 2, 2, 2, 2, 2, 2, -3, -3, -3, -3, -3, -3, 3, 3, 3, -3, 3, 0, -3, -3, -3, -3, -3, 0, 0, 0, -3, -3, 0, -3, 3, -3, -3, 0, 0, 3, 0, 0, 3, 3, -3, 3, 0, 3, 0, 3, 3, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, -1, 2, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794524
    {'cdim': 6, 'counter': 11, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.6b', 'multiplicity': 1, 'nt': [18, 220], 'qdim': 6, 'qvalues': [6, -2, 2, 6, 6, 6, 6, 0, 0, -2, -2, -2, -2, -2, 2, -3, -3, -3, -3, -3, -3, 3, 3, 3, -3, 3, 0, -3, -3, -3, -3, -3, 0, 0, 0, -3, -3, 0, -3, 3, -3, -3, 0, 0, 3, 0, 0, 3, 3, -3, 3, 0, 3, 0, 3, 3, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, 1, -2, 1, -2, -2, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794551
    {'cdim': 4, 'counter': 6, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.4a', 'multiplicity': 2, 'nt': [12, 175], 'qdim': 8, 'qvalues': [8, 4, 0, 8, 8, 8, 8, 2, 0, 4, 4, 4, 4, 4, 0, -1, -1, -1, -1, -1, -1, -4, -4, -4, -1, -4, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -4, -1, -1, 2, 2, -4, 2, 2, -4, -4, -1, -4, 2, -4, 2, -4, -4, -1, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, -2, -2, -2, -2, -2, -2, 1, 1, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, 1, -2, 1, -2, -2, 1, 0, 0, 0, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 14794552
    {'cdim': 4, 'counter': 7, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.4b', 'multiplicity': 2, 'nt': [24, 1527], 'qdim': 8, 'qvalues': [8, -4, 0, 8, 8, 8, 8, 2, 0, -4, -4, -4, -4, -4, 0, -1, -1, -1, -1, -1, -1, -4, -4, -4, -1, -4, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -4, -1, -1, 2, 2, -4, 2, 2, -4, -4, -1, -4, 2, -4, 2, -4, -4, -1, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, -1, 2, -1, 2, 2, -1, 0, 0, 0, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 14794525
    {'cdim': 6, 'counter': 12, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.6c', 'multiplicity': 2, 'nt': [36, 1131], 'qdim': 12, 'qvalues': [12, 0, -4, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, -4, -6, -6, -6, -6, -6, -6, 6, 6, 6, -6, 6, 0, -6, -6, -6, -6, -6, 0, 0, 0, -6, -6, 0, -6, 6, -6, -6, 0, 0, 6, 0, 0, 6, 6, -6, 6, 0, 6, 0, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, -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, 2, 2, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794531
    {'cdim': 12, 'counter': 18, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12a', 'multiplicity': 1, 'nt': [18, 219], 'qdim': 12, 'qvalues': [12, 2, 0, 12, 12, 12, 12, 0, 0, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, -3, 3, 3, 3, 3, 3, -3, -3, -3, 3, 3, -3, 3, 0, 3, 3, -3, -3, 0, -3, -3, 0, 0, 3, 0, -3, 0, -3, 0, 0, 3, -3, -3, -3, -3, -3, -3, -3, 3, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, 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], 'schur_index': 1}
  • id: 14794532
    {'cdim': 12, 'counter': 19, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12b', 'multiplicity': 1, 'nt': [36, 1126], 'qdim': 12, 'qvalues': [12, -2, 0, 12, 12, 12, 12, 0, 0, -2, -2, -2, -2, -2, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, -3, 3, 3, 3, 3, 3, -3, -3, -3, 3, 3, -3, 3, 0, 3, 3, -3, -3, 0, -3, -3, 0, 0, 3, 0, -3, 0, -3, 0, 0, 3, -3, -3, -3, -3, -3, -3, -3, 3, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 1, -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], 'schur_index': 1}
  • id: 14794529
    {'cdim': 8, 'counter': 16, 'faithful': False, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.8a', 'multiplicity': 2, 'nt': [24, 1540], 'qdim': 16, 'qvalues': [16, 0, 0, 16, 16, 16, 16, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -8, -8, -8, -2, -8, 4, -2, -2, -2, -2, -2, 4, 4, 4, -2, -2, 4, -2, -8, -2, -2, 4, 4, -8, 4, 4, -8, -8, -2, -8, 4, -8, 4, -8, -8, -2, 4, 4, 4, 4, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 14794526
    {'cdim': 6, 'counter': 13, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.6d', 'multiplicity': 3, 'nt': [27, 912], 'qdim': 18, 'qvalues': [18, 6, 6, -9, -9, 9, 0, 0, 0, -3, -3, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 12, 12, 12, 0, -6, 6, 0, 0, 0, 0, 0, 6, -3, -3, 0, 0, 6, 0, -6, 0, 0, -3, -3, -6, -3, -3, -6, -6, 0, -6, 6, 3, 6, 3, 3, 0, -3, -3, -3, -3, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 6, -3, -3, 0, -3, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794527
    {'cdim': 6, 'counter': 14, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.6e', 'multiplicity': 3, 'nt': [54, 0], 'qdim': 18, 'qvalues': [18, -6, 6, -9, -9, 9, 0, 0, 0, 3, 3, -6, 3, 3, -3, 0, 0, 0, 0, 0, 0, 12, 12, 12, 0, -6, 6, 0, 0, 0, 0, 0, 6, -3, -3, 0, 0, 6, 0, -6, 0, 0, -3, -3, -6, -3, -3, -6, -6, 0, -6, 6, 3, 6, 3, 3, 0, -3, -3, -3, -3, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, -6, 3, 3, 0, 3, 0, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794553
    {'cdim': 4, 'counter': 8, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.4c', 'multiplicity': 6, 'nt': [36, 10910], 'qdim': 24, 'qvalues': [24, 12, 0, -3, -3, -12, 6, 6, 0, -6, -6, -6, 3, 3, 0, -3, -3, -3, -3, -3, -3, 0, 0, 0, 6, 0, 12, -3, -3, 6, -3, -3, 12, -6, -6, 6, -3, 12, 6, 0, 6, 6, -6, -6, 0, -6, -6, 0, 0, -3, 0, -6, 0, -6, 0, 0, -3, 3, 3, 3, 3, 3, 3, -6, -3, -3, -3, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 6, -3, -3, 6, 6, 0, -3, -3, -3, -3, -3, 6, -3, 0, 6, 0, 0, 0, 6, 0, -3, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794554
    {'cdim': 4, 'counter': 9, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.4d', 'multiplicity': 6, 'nt': [72, 0], 'qdim': 24, 'qvalues': [24, -12, 0, -3, -3, -12, 6, 6, 0, 6, 6, 6, -3, -3, 0, -3, -3, -3, -3, -3, -3, 0, 0, 0, 6, 0, 12, -3, -3, 6, -3, -3, 12, -6, -6, 6, -3, 12, 6, 0, 6, 6, -6, -6, 0, -6, -6, 0, 0, -3, 0, -6, 0, -6, 0, 0, -3, 3, 3, 3, 3, 3, 3, -6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, -6, 3, 3, -6, -6, 0, 3, 3, 3, 3, 3, -6, 3, 0, -6, 0, 0, 0, -6, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794528
    {'cdim': 6, 'counter': 15, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.6f', 'multiplicity': 6, 'nt': [108, 0], 'qdim': 36, 'qvalues': [36, 0, -12, -18, -18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 24, 24, 24, 0, -12, 12, 0, 0, 0, 0, 0, 12, -6, -6, 0, 0, 12, 0, -12, 0, 0, -6, -6, -12, -6, -6, -12, -12, 0, -12, 12, 6, 12, 6, 6, 0, -6, -6, -6, -6, -6, -6, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794534
    {'cdim': 12, 'counter': 20, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12c', 'multiplicity': 3, 'nt': [54, 0], 'qdim': 36, 'qvalues': [36, 6, 0, 9, 9, 0, -9, 0, 0, 6, 6, -3, -3, -3, 0, 18, 18, 18, 18, 18, 18, 12, 12, 12, 0, 3, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 3, 0, 0, 6, 6, 3, 6, 6, 3, 3, 0, 3, -3, -6, -3, -6, -6, -9, -3, -3, -3, -3, -3, -3, -3, -9, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, -3, -3, -3, -3, -3, -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], 'schur_index': 1}
  • id: 14794535
    {'cdim': 12, 'counter': 21, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12d', 'multiplicity': 3, 'nt': [108, 0], 'qdim': 36, 'qvalues': [36, -6, 0, 9, 9, 0, -9, 0, 0, -6, -6, 3, 3, 3, 0, 18, 18, 18, 18, 18, 18, 12, 12, 12, 0, 3, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 3, 0, 0, 6, 6, 3, 6, 6, 3, 3, 0, 3, -3, -6, -3, -6, -6, -9, -3, -3, -3, -3, -3, -3, -3, -9, 0, 0, -6, -6, -6, -6, -6, -6, 0, 0, 0, 3, 3, 3, 3, 3, 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], 'schur_index': 1}
  • id: 14794530
    {'cdim': 8, 'counter': 17, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.8b', 'multiplicity': 6, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, -6, -6, -24, 12, -6, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, 0, 0, 0, 12, 0, 24, -6, -6, 12, -6, -6, 24, -12, -12, 12, -6, 24, 12, 0, 12, 12, -12, -12, 0, -12, -12, 0, 0, -6, 0, -12, 0, -12, 0, 0, -6, 6, 6, 6, 6, 6, 6, -12, -6, 3, 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], 'schur_index': 1}
  • id: 14794545
    {'cdim': 24, 'counter': 30, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.24a', 'multiplicity': 2, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, -6, -6, -24, 12, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, 0, 0, 0, 12, 0, -12, -6, -6, 12, -6, -6, -12, 6, 6, 12, -6, -12, 12, 0, 12, 12, 6, 6, 0, 6, 6, 0, 0, -6, 0, 6, 0, 6, 0, 0, -6, -3, -3, -3, -3, -3, -3, 6, -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], 'schur_index': 1}
  • id: 14794536
    {'cdim': 12, 'counter': 22, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12e', 'multiplicity': 6, 'nt': [108, 0], 'qdim': 72, 'qvalues': [72, 12, 0, -36, -36, 36, 0, 0, 0, -6, -6, 12, -6, -6, 0, 0, 0, 0, 0, 0, 0, -24, -24, -24, 0, 12, 6, 0, 0, 0, 0, 0, 6, -3, -3, 0, 0, 6, 0, 12, 0, 0, -3, -3, 12, -3, -3, 12, 12, 0, 12, 6, -6, 6, -6, -6, 0, -3, -3, -3, -3, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, -6, 3, 3, 0, 3, 0, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794537
    {'cdim': 12, 'counter': 23, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12f', 'multiplicity': 6, 'nt': [108, 0], 'qdim': 72, 'qvalues': [72, 12, 0, -9, -9, -36, 18, 0, 0, -6, -6, -6, 3, 3, 0, -9, -9, -9, -9, -9, -9, 0, 0, 0, -9, 0, 0, 18, 18, -9, 18, 18, 0, 0, 0, -9, 18, 0, -9, 0, -9, -9, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, -3, 6, 6, -3, -3, 0, -3, 6, -3, -3, -3, -3, 6, 0, -3, 0, 0, 0, -3, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794538
    {'cdim': 12, 'counter': 24, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12g', 'multiplicity': 6, 'nt': [108, 0], 'qdim': 72, 'qvalues': [72, 12, 0, -9, -9, -36, 18, 0, 0, -6, -6, -6, 3, 3, 0, 18, 18, 18, 18, 18, 18, 0, 0, 0, -9, 0, 0, -9, -9, -9, -9, -9, 0, 0, 0, -9, -9, 0, -9, 0, -9, -9, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, 0, 6, -3, 6, 6, 6, -3, -3, 0, -3, 0, 0, 0, -3, 0, 6, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794539
    {'cdim': 12, 'counter': 25, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12h', 'multiplicity': 6, 'nt': [108, 0], 'qdim': 72, 'qvalues': [72, 12, 0, 18, 18, 0, -18, 0, 0, 12, 12, -6, -6, -6, 0, -18, -18, -18, -18, -18, -18, -12, -12, -12, 0, -3, 12, 0, 0, 0, 0, 0, 12, 12, 12, 0, 0, 12, 0, -3, 0, 0, 12, 12, -3, 12, 12, -3, -3, 0, -3, -6, 6, -6, 6, 6, 9, -6, -6, -6, -6, -6, -6, -6, 9, 0, 0, -6, -6, -6, -6, -6, -6, 0, 0, 0, 3, 3, 3, 3, 3, 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], 'schur_index': 1}
  • id: 14794540
    {'cdim': 12, 'counter': 26, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12i', 'multiplicity': 6, 'nt': [216, 0], 'qdim': 72, 'qvalues': [72, -12, 0, -36, -36, 36, 0, 0, 0, 6, 6, -12, 6, 6, 0, 0, 0, 0, 0, 0, 0, -24, -24, -24, 0, 12, 6, 0, 0, 0, 0, 0, 6, -3, -3, 0, 0, 6, 0, 12, 0, 0, -3, -3, 12, -3, -3, 12, 12, 0, 12, 6, -6, 6, -6, -6, 0, -3, -3, -3, -3, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 6, -3, -3, 0, -3, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794541
    {'cdim': 12, 'counter': 27, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12j', 'multiplicity': 6, 'nt': [216, 0], 'qdim': 72, 'qvalues': [72, -12, 0, -9, -9, -36, 18, 0, 0, 6, 6, 6, -3, -3, 0, -9, -9, -9, -9, -9, -9, 0, 0, 0, -9, 0, 0, 18, 18, -9, 18, 18, 0, 0, 0, -9, 18, 0, -9, 0, -9, -9, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, -6, 3, 0, 0, 0, 0, 0, 0, 0, 3, -6, -6, 3, 3, 0, 3, -6, 3, 3, 3, 3, -6, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794542
    {'cdim': 12, 'counter': 28, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12k', 'multiplicity': 6, 'nt': [216, 0], 'qdim': 72, 'qvalues': [72, -12, 0, -9, -9, -36, 18, 0, 0, 6, 6, 6, -3, -3, 0, 18, 18, 18, 18, 18, 18, 0, 0, 0, -9, 0, 0, -9, -9, -9, -9, -9, 0, 0, 0, -9, -9, 0, -9, 0, -9, -9, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, -6, 3, -6, -6, -6, 3, 3, 0, 3, 0, 0, 0, 3, 0, -6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794543
    {'cdim': 12, 'counter': 29, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.12l', 'multiplicity': 6, 'nt': [216, 0], 'qdim': 72, 'qvalues': [72, -12, 0, 18, 18, 0, -18, 0, 0, -12, -12, 6, 6, 6, 0, -18, -18, -18, -18, -18, -18, -12, -12, -12, 0, -3, 12, 0, 0, 0, 0, 0, 12, 12, 12, 0, 0, 12, 0, -3, 0, 0, 12, 12, -3, 12, 12, -3, -3, 0, -3, -6, 6, -6, 6, 6, 9, -6, -6, -6, -6, -6, -6, -6, 9, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, -3, -3, -3, -3, -3, -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], 'schur_index': 1}
  • id: 14794546
    {'cdim': 24, 'counter': 31, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.24b', 'multiplicity': 3, 'nt': [108, 0], 'qdim': 72, 'qvalues': [72, 0, 0, -36, -36, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 0, -6, -12, 0, 0, 0, 0, 0, -12, 6, 6, 0, 0, -12, 0, -6, 0, 0, 6, 6, -6, 6, 6, -6, -6, 0, -6, -12, 3, -12, 3, 3, 0, 6, 6, 6, 6, 6, 6, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 14794547
    {'cdim': 24, 'counter': 32, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.24c', 'multiplicity': 3, 'nt': [108, 0], 'qdim': 72, 'qvalues': [72, 0, 0, 18, 18, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -18, -18, -18, -18, -18, -18, 24, 24, 24, 0, 6, -6, 0, 0, 0, 0, 0, -6, -6, -6, 0, 0, -6, 0, 6, 0, 0, -6, -6, 6, -6, -6, 6, 6, 0, 6, 3, -12, 3, -12, -12, 9, 3, 3, 3, 3, 3, 3, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 14794548
    {'cdim': 24, 'counter': 33, 'faithful': True, 'group': '17496.dd', 'group_order': 17496, 'image': None, 'label': '17496.dd.24d', 'multiplicity': 6, 'nt': [216, 0], 'qdim': 144, 'qvalues': [144, 0, 0, 36, 36, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 18, 18, 18, 18, 18, -24, -24, -24, 0, -6, -12, 0, 0, 0, 0, 0, -12, -12, -12, 0, 0, -12, 0, -6, 0, 0, -12, -12, -6, -12, -12, -6, -6, 0, -6, 6, 12, 6, 12, 12, -9, 6, 6, 6, 6, 6, 6, 6, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 34430591
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 17496, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 17496, 'label': '17496.dd.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]]]}
  • id: 34430618
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 17496, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 8748, 'label': '17496.dd.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]]]}
  • id: 34430629
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 2916, 'counter': 3, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 2916, 'label': '17496.dd.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 34430640
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 729, 'counter': 4, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.a1.a1', 'kernel_order': 729, 'label': '17496.dd.3a', 'nt': [4, 5], 'q_character': None, 'values': [[[3, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430651
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 729, 'counter': 5, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.a1.a1', 'kernel_order': 729, 'label': '17496.dd.3b', 'nt': [6, 8], 'q_character': None, 'values': [[[3, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430662
    {'center': '648.a1.a1', 'center_index': 648, 'center_order': 27, 'counter': 6, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '648.704', 'image_order': 648, 'indicator': 0, 'kernel': '648.a1.a1', 'kernel_order': 27, 'label': '17496.dd.4a1', 'nt': [12, 175], 'q_character': None, 'values': [[[4, 0]], [[2, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0], [-3, 1]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0], [3, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0], [-3, 1]], [[-2, 0]], [[1, 0]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[1, 0]], [[1, 0], [3, 1]], [[-2, 0]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0], [-3, 1]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0], [3, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-3, 1]], [[1, 0]], [[1, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]]]}
  • id: 34430673
    {'center': '648.a1.a1', 'center_index': 648, 'center_order': 27, 'counter': 7, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '648.704', 'image_order': 648, 'indicator': 0, 'kernel': '648.a1.a1', 'kernel_order': 27, 'label': '17496.dd.4a2', 'nt': [12, 2], 'q_character': None, 'values': [[[4, 0]], [[2, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 0], [3, 1]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[-2, 0], [-3, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0], [3, 1]], [[-2, 0]], [[1, 0]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0]], [[-2, 0], [-3, 1]], [[-2, 0]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0], [3, 1]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0], [-3, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [3, 1]], [[1, 0]], [[1, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]]]}
  • id: 34430684
    {'center': '648.a1.a1', 'center_index': 648, 'center_order': 27, 'counter': 8, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '648.704', 'image_order': 648, 'indicator': 0, 'kernel': '648.a1.a1', 'kernel_order': 27, 'label': '17496.dd.4b1', 'nt': [24, 1527], 'q_character': None, 'values': [[[4, 0]], [[-2, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0], [-3, 1]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0], [3, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0], [-3, 1]], [[-2, 0]], [[1, 0]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[1, 0]], [[1, 0], [3, 1]], [[-2, 0]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0], [-3, 1]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0], [3, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-3, 1]], [[1, 0]], [[1, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]]]}
  • id: 34430695
    {'center': '648.a1.a1', 'center_index': 648, 'center_order': 27, 'counter': 9, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '648.704', 'image_order': 648, 'indicator': 0, 'kernel': '648.a1.a1', 'kernel_order': 27, 'label': '17496.dd.4b2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[-2, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[1, 0], [3, 1]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[-2, 0], [-3, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0], [3, 1]], [[-2, 0]], [[1, 0]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-3, 1]], [[-2, 0], [-3, 1]], [[1, 0]], [[-2, 0], [-3, 1]], [[-2, 0]], [[1, 0], [3, 1]], [[1, 0], [3, 1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0], [3, 1]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0], [-3, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [3, 1]], [[1, 0]], [[1, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]]]}
  • id: 34430592
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 10, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4c1', 'nt': [36, 10910], 'q_character': None, 'values': [[[4, 0]], [[2, 0]], [[0, 0]], [[-2, 0], [-3, 3]], [[1, 0], [3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[1, 3], [3, -4]], [[-1, 0], [3, 1], [-1, 3]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[-3, 2], [1, 3], [-3, -4]], [[3, 2], [1, 3]], [[-1, 0], [-1, 3], [3, 4]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 0], [2, 2], [1, -4]], [[-1, 4], [2, -4]], [[2, 0], [1, 4], [1, -4]], [[-1, 1], [1, 3], [1, 4]], [[2, 1], [1, 3], [1, 4]], [[1, 0], [1, 1], [2, 4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[1, 0], [1, 1], [-1, 4]], [[-1, 1], [1, 3], [-2, 4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [-2, 1], [-1, 4]], [[2, 4], [-1, -4]], [[1, 0], [-1, 2], [1, -4]], [[1, 0], [-1, 2], [-2, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[-1, 1], [-2, 2], [-2, -4]], [[1, 1], [1, 2], [2, 3]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[1, 1], [2, 2], [1, 4]], [[-2, 1], [-1, 2], [-2, 4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[2, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, -3]], [[1, 1], [1, 2], [-1, 3]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 3]], [[1, -3]], [[1, 3]], [[2, -4]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, 4]], [[1, 3], [1, 4]], [[1, 2], [1, 3]], [[1, 1], [1, -4]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -2]], [[1, 0], [1, 4]], [[-1, 0], [-1, 3], [1, -4]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[1, 0], [-1, 2], [-1, -4]], [[1, 0], [1, -4]], [[1, 2], [1, 4]], [[-1, 0], [-1, 3], [1, 4]], [[1, 1], [1, 3]], [[-1, 2], [1, 3], [-1, -4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[1, 3], [1, -4]], [[1, 0], [1, 1]], [[-1, 1], [1, 3], [-1, 4]], [[1, -2], [1, -1]], [[1, 0], [1, 2]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 0], [-1, 1], [-1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 0], [1, 2], [-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]]]}
  • id: 34430603
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 11, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4c2', 'nt': [36, 6], 'q_character': None, 'values': [[[4, 0]], [[2, 0]], [[0, 0]], [[1, 0], [3, 3]], [[-2, 0], [-3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[-1, 0], [-1, 3], [3, 4]], [[-3, 2], [1, 3], [-3, -4]], [[3, 2], [1, 3]], [[-1, 0], [3, 1], [-1, 3]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[1, 3], [3, -4]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 0], [-2, 1], [-1, 4]], [[2, 4], [-1, -4]], [[2, 0], [1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[1, 0], [-1, 2], [1, -4]], [[2, 1], [1, 3], [1, 4]], [[-1, 1], [1, 3], [-2, 4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[1, 0], [-1, 2], [-2, -4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [2, 2], [1, -4]], [[-1, 4], [2, -4]], [[1, 0], [1, 1], [2, 4]], [[1, 0], [1, 1], [-1, 4]], [[1, 1], [1, 2], [2, 3]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[2, 1], [1, 2], [1, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[-2, 1], [-1, 2], [-2, 4]], [[1, 1], [2, 2], [1, 4]], [[-1, 1], [1, 3], [1, 4]], [[-1, 1], [-2, 2], [-2, -4]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 3]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[1, 1], [1, 2], [-1, 3]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, -3]], [[1, 3]], [[1, -3]], [[2, 4]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, -4]], [[-1, 0], [-1, 3], [1, -4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 2]], [[1, 0], [1, -4]], [[1, 3], [1, 4]], [[1, 1], [1, 3]], [[1, 0], [1, 1]], [[1, 0], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 3], [1, -4]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[-1, 0], [1, 1], [-1, 3]], [[1, 2], [1, 3]], [[-1, 0], [-1, 3], [1, 4]], [[1, 0], [-1, 2], [-1, -4]], [[-1, 0], [1, 2], [-1, 3]], [[1, 1], [1, 2]], [[1, 0], [-1, 1], [-1, 4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 0], [1, 2]], [[1, 2], [1, 4]], [[-1, 2], [1, 3], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [1, 3], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]]]}
  • id: 34430610
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 12, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4c3', 'nt': [36, 10910], 'q_character': None, 'values': [[[4, 0]], [[2, 0]], [[0, 0]], [[-2, 0], [-3, 3]], [[1, 0], [3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[3, 2], [1, 3]], [[-1, 0], [-1, 3], [3, 4]], [[-1, 0], [3, 1], [-1, 3]], [[1, 3], [3, -4]], [[-3, 2], [1, 3], [-3, -4]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-2, -4]], [[1, 1], [2, 2], [1, 4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 1], [1, 3], [-2, 4]], [[-1, 1], [1, 3], [1, 4]], [[1, 0], [-2, 1], [-1, 4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[2, 0], [1, 4], [1, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[1, 0], [1, 1], [2, 4]], [[2, 1], [1, 3], [1, 4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [1, 1], [-1, 4]], [[-2, 1], [-1, 2], [-2, 4]], [[1, 0], [2, 2], [1, -4]], [[1, 0], [-1, 2], [1, -4]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[1, 1], [1, 2], [2, 3]], [[-1, 4], [2, -4]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[-1, 1], [-2, 2], [-2, -4]], [[2, 1], [1, 2], [1, -4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[2, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, -3]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[1, 1], [1, 2], [-1, 3]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[-1, 0], [1, 4], [1, -4]], [[1, 3]], [[1, -3]], [[1, 3]], [[2, 2]], [[2, 1]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -2]], [[-1, 1], [1, 3], [-1, 4]], [[-1, 2], [1, 3], [-1, -4]], [[1, 2], [1, 4]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 0], [-1, 1], [-1, 4]], [[-1, 0], [1, 2], [-1, 3]], [[-1, 0], [-1, 3], [1, -4]], [[1, 0], [1, -4]], [[1, 0], [1, 2]], [[1, -2], [1, -1]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[1, 3], [1, 4]], [[1, 3], [1, -4]], [[-1, 0], [1, 1], [-1, 3]], [[1, 2], [1, 3]], [[1, 0], [1, 4]], [[1, 1], [1, 3]], [[1, 1], [1, -4]], [[1, 0], [-1, 2], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 0], [1, 1]], [[1, 1], [1, 2]], [[-1, 0], [-1, 3], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]]]}
  • id: 34430611
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 13, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4c4', 'nt': [36, 6], 'q_character': None, 'values': [[[4, 0]], [[2, 0]], [[0, 0]], [[1, 0], [3, 3]], [[-2, 0], [-3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[1, 3], [3, -4]], [[-3, 2], [1, 3], [-3, -4]], [[-1, 0], [-1, 3], [3, 4]], [[-1, 0], [3, 1], [-1, 3]], [[3, 2], [1, 3]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[1, 0], [1, 1], [-1, 4]], [[-2, 1], [-1, 2], [-2, 4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[1, 0], [2, 2], [1, -4]], [[-1, 1], [1, 3], [1, 4]], [[2, 1], [1, 3], [1, 4]], [[2, 0], [1, 4], [1, -4]], [[1, 1], [1, 2], [2, 3]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[1, 0], [-1, 2], [1, -4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [-1, 2], [-2, -4]], [[1, 1], [2, 2], [1, 4]], [[1, 0], [-2, 1], [-1, 4]], [[1, 0], [1, 1], [2, 4]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[2, 4], [-1, -4]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[2, 1], [1, 2], [1, -4]], [[-1, 1], [-2, 2], [-2, -4]], [[-1, 1], [1, 3], [-2, 4]], [[-1, 4], [2, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 3]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[1, 1], [1, 2], [-1, 3]], [[-1, 0], [1, 4], [1, -4]], [[1, -3]], [[1, 3]], [[1, -3]], [[2, -2]], [[2, -1]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 2]], [[-1, 0], [1, 2], [-1, 3]], [[-1, 0], [1, 1], [-1, 3]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 0], [1, 2]], [[-1, 1], [1, 3], [-1, 4]], [[1, 3], [1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 1], [-1, 4]], [[1, 1], [1, 2]], [[1, 2], [1, 3]], [[-1, 0], [-1, 3], [1, -4]], [[-1, 0], [-1, 3], [1, 4]], [[-1, 2], [1, 3], [-1, -4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[1, 0], [1, -4]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 0], [-1, 2], [-1, -4]], [[1, -2], [1, -1]], [[1, 3], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]]]}
  • id: 34430612
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 14, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4c5', 'nt': [36, 10910], 'q_character': None, 'values': [[[4, 0]], [[2, 0]], [[0, 0]], [[-2, 0], [-3, 3]], [[1, 0], [3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[-3, 2], [1, 3], [-3, -4]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[-1, 0], [-1, 3], [3, 4]], [[3, 2], [1, 3]], [[1, 3], [3, -4]], [[-1, 0], [3, 1], [-1, 3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[1, 0], [-1, 2], [1, -4]], [[-1, 1], [-2, 2], [-2, -4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 1], [1, 3], [1, 4]], [[-1, 1], [1, 3], [-2, 4]], [[1, 0], [1, 1], [-1, 4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[1, 1], [1, 2], [2, 3]], [[1, 0], [-2, 1], [-1, 4]], [[-1, 1], [1, 3], [1, 4]], [[2, 0], [1, 4], [1, -4]], [[1, 0], [1, 1], [2, 4]], [[2, 1], [1, 2], [1, -4]], [[1, 0], [-1, 2], [-2, -4]], [[1, 0], [2, 2], [1, -4]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[1, 1], [2, 2], [1, 4]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[-1, 4], [2, -4]], [[2, 4], [-1, -4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[-2, 1], [-1, 2], [-2, 4]], [[-1, 0], [1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, -3]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[1, 1], [1, 2], [-1, 3]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 3]], [[1, -3]], [[1, 3]], [[2, -1]], [[2, 4]], [[2, 2]], [[2, -2]], [[2, -4]], [[2, 1]], [[1, 1], [1, 3]], [[1, 3], [1, -4]], [[1, -2], [1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, 4]], [[1, 0], [1, 1]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[-1, 0], [1, 2], [-1, 3]], [[1, 0], [1, 2]], [[1, 0], [-1, 2], [-1, -4]], [[1, 1], [1, -4]], [[-1, 0], [1, 1], [-1, 3]], [[-1, 1], [1, 3], [-1, 4]], [[1, 2], [1, 3]], [[-1, 0], [-1, 3], [1, 4]], [[-1, 2], [1, 3], [-1, -4]], [[1, 0], [-1, 1], [-1, 4]], [[1, 3], [1, 4]], [[1, 2], [1, 4]], [[1, 0], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 0], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 0], [-1, 3], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]]]}
  • id: 34430613
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 15, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4c6', 'nt': [36, 6], 'q_character': None, 'values': [[[4, 0]], [[2, 0]], [[0, 0]], [[1, 0], [3, 3]], [[-2, 0], [-3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[-1, 0], [3, 1], [-1, 3]], [[3, 2], [1, 3]], [[1, 3], [3, -4]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[-1, 0], [-1, 3], [3, 4]], [[-3, 2], [1, 3], [-3, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[1, 0], [1, 1], [2, 4]], [[2, 1], [1, 2], [1, -4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[1, 0], [-1, 2], [-2, -4]], [[-1, 1], [1, 3], [-2, 4]], [[-1, 1], [1, 3], [1, 4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[1, 0], [2, 2], [1, -4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[2, 0], [1, 4], [1, -4]], [[1, 0], [-1, 2], [1, -4]], [[-1, 1], [-2, 2], [-2, -4]], [[1, 0], [1, 1], [-1, 4]], [[1, 0], [-2, 1], [-1, 4]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[-2, 1], [-1, 2], [-2, 4]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[1, 1], [1, 2], [2, 3]], [[2, 4], [-1, -4]], [[-1, 4], [2, -4]], [[2, 1], [1, 3], [1, 4]], [[1, 1], [2, 2], [1, 4]], [[-1, 0], [1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[1, 1], [1, 2], [-1, 3]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, -3]], [[1, 3]], [[1, -3]], [[2, 1]], [[2, -4]], [[2, -2]], [[2, 2]], [[2, 4]], [[2, -1]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[-1, 0], [-1, 3], [1, 4]], [[1, 1], [1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[1, 0], [-1, 2], [-1, -4]], [[1, 1], [1, 3]], [[-1, 1], [1, 3], [-1, 4]], [[1, 0], [-1, 1], [-1, 4]], [[1, 0], [1, 1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 3], [-1, -4]], [[-1, 0], [1, 2], [-1, 3]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[1, 3], [1, -4]], [[-1, 0], [1, 1], [-1, 3]], [[1, 0], [1, 2]], [[-1, 0], [-1, 3], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 0], [1, 4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 0], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, 3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]]]}
  • id: 34430614
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 16, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4d1', 'nt': [72, 0], 'q_character': None, 'values': [[[4, 0]], [[-2, 0]], [[0, 0]], [[-2, 0], [-3, 3]], [[1, 0], [3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[1, 3], [3, -4]], [[-1, 0], [3, 1], [-1, 3]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[-3, 2], [1, 3], [-3, -4]], [[3, 2], [1, 3]], [[-1, 0], [-1, 3], [3, 4]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 0], [2, 2], [1, -4]], [[-1, 4], [2, -4]], [[2, 0], [1, 4], [1, -4]], [[-1, 1], [1, 3], [1, 4]], [[2, 1], [1, 3], [1, 4]], [[1, 0], [1, 1], [2, 4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[1, 0], [1, 1], [-1, 4]], [[-1, 1], [1, 3], [-2, 4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [-2, 1], [-1, 4]], [[2, 4], [-1, -4]], [[1, 0], [-1, 2], [1, -4]], [[1, 0], [-1, 2], [-2, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[-1, 1], [-2, 2], [-2, -4]], [[1, 1], [1, 2], [2, 3]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[1, 1], [2, 2], [1, 4]], [[-2, 1], [-1, 2], [-2, 4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[2, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, -3]], [[1, 1], [1, 2], [-1, 3]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 3]], [[1, -3]], [[1, 3]], [[-2, -4]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, 4]], [[-1, 3], [-1, 4]], [[-1, 2], [-1, 3]], [[-1, 1], [-1, -4]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -2]], [[-1, 0], [-1, 4]], [[1, 0], [1, 3], [-1, -4]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[-1, 0], [1, 2], [1, -4]], [[-1, 0], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 0], [1, 3], [-1, 4]], [[-1, 1], [-1, 3]], [[1, 2], [-1, 3], [1, -4]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[-1, 3], [-1, -4]], [[-1, 0], [-1, 1]], [[1, 1], [-1, 3], [1, 4]], [[-1, -2], [-1, -1]], [[-1, 0], [-1, 2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 0], [1, 1], [1, 4]], [[1, 1], [1, 4], [-1, -4]], [[1, 0], [-1, 1], [1, 3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 0], [-1, 2], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]]]}
  • id: 34430615
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 17, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4d2', 'nt': [72, 6], 'q_character': None, 'values': [[[4, 0]], [[-2, 0]], [[0, 0]], [[1, 0], [3, 3]], [[-2, 0], [-3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[-1, 0], [-1, 3], [3, 4]], [[-3, 2], [1, 3], [-3, -4]], [[3, 2], [1, 3]], [[-1, 0], [3, 1], [-1, 3]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[1, 3], [3, -4]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 0], [-2, 1], [-1, 4]], [[2, 4], [-1, -4]], [[2, 0], [1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[1, 0], [-1, 2], [1, -4]], [[2, 1], [1, 3], [1, 4]], [[-1, 1], [1, 3], [-2, 4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[1, 0], [-1, 2], [-2, -4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [2, 2], [1, -4]], [[-1, 4], [2, -4]], [[1, 0], [1, 1], [2, 4]], [[1, 0], [1, 1], [-1, 4]], [[1, 1], [1, 2], [2, 3]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[2, 1], [1, 2], [1, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[-2, 1], [-1, 2], [-2, 4]], [[1, 1], [2, 2], [1, 4]], [[-1, 1], [1, 3], [1, 4]], [[-1, 1], [-2, 2], [-2, -4]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 3]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[1, 1], [1, 2], [-1, 3]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, -3]], [[1, 3]], [[1, -3]], [[-2, 4]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, -4]], [[1, 0], [1, 3], [-1, -4]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 2]], [[-1, 0], [-1, -4]], [[-1, 3], [-1, 4]], [[-1, 1], [-1, 3]], [[-1, 0], [-1, 1]], [[-1, 0], [-1, 4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 3], [-1, -4]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[1, 0], [-1, 1], [1, 3]], [[-1, 2], [-1, 3]], [[1, 0], [1, 3], [-1, 4]], [[-1, 0], [1, 2], [1, -4]], [[1, 0], [-1, 2], [1, 3]], [[-1, 1], [-1, 2]], [[-1, 0], [1, 1], [1, 4]], [[-1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 0], [-1, 2]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 3], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]]]}
  • id: 34430616
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 18, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4d3', 'nt': [72, 0], 'q_character': None, 'values': [[[4, 0]], [[-2, 0]], [[0, 0]], [[-2, 0], [-3, 3]], [[1, 0], [3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[3, 2], [1, 3]], [[-1, 0], [-1, 3], [3, 4]], [[-1, 0], [3, 1], [-1, 3]], [[1, 3], [3, -4]], [[-3, 2], [1, 3], [-3, -4]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-2, -4]], [[1, 1], [2, 2], [1, 4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 1], [1, 3], [-2, 4]], [[-1, 1], [1, 3], [1, 4]], [[1, 0], [-2, 1], [-1, 4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[2, 0], [1, 4], [1, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[1, 0], [1, 1], [2, 4]], [[2, 1], [1, 3], [1, 4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [1, 1], [-1, 4]], [[-2, 1], [-1, 2], [-2, 4]], [[1, 0], [2, 2], [1, -4]], [[1, 0], [-1, 2], [1, -4]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[1, 1], [1, 2], [2, 3]], [[-1, 4], [2, -4]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[-1, 1], [-2, 2], [-2, -4]], [[2, 1], [1, 2], [1, -4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[2, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, -3]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[1, 1], [1, 2], [-1, 3]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[-1, 0], [1, 4], [1, -4]], [[1, 3]], [[1, -3]], [[1, 3]], [[-2, 2]], [[-2, 1]], [[-2, -4]], [[-2, 4]], [[-2, -1]], [[-2, -2]], [[1, 1], [-1, 3], [1, 4]], [[1, 2], [-1, 3], [1, -4]], [[-1, 2], [-1, 4]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 0], [1, 1], [1, 4]], [[1, 0], [-1, 2], [1, 3]], [[1, 0], [1, 3], [-1, -4]], [[-1, 0], [-1, -4]], [[-1, 0], [-1, 2]], [[-1, -2], [-1, -1]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[-1, 3], [-1, 4]], [[-1, 3], [-1, -4]], [[1, 0], [-1, 1], [1, 3]], [[-1, 2], [-1, 3]], [[-1, 0], [-1, 4]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -4]], [[-1, 0], [1, 2], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 0], [-1, 1]], [[-1, 1], [-1, 2]], [[1, 0], [1, 3], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]]]}
  • id: 34430617
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 19, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4d4', 'nt': [72, 6], 'q_character': None, 'values': [[[4, 0]], [[-2, 0]], [[0, 0]], [[1, 0], [3, 3]], [[-2, 0], [-3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[1, 3], [3, -4]], [[-3, 2], [1, 3], [-3, -4]], [[-1, 0], [-1, 3], [3, 4]], [[-1, 0], [3, 1], [-1, 3]], [[3, 2], [1, 3]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[1, 0], [1, 1], [-1, 4]], [[-2, 1], [-1, 2], [-2, 4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[1, 0], [2, 2], [1, -4]], [[-1, 1], [1, 3], [1, 4]], [[2, 1], [1, 3], [1, 4]], [[2, 0], [1, 4], [1, -4]], [[1, 1], [1, 2], [2, 3]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[1, 0], [-1, 2], [1, -4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [-1, 2], [-2, -4]], [[1, 1], [2, 2], [1, 4]], [[1, 0], [-2, 1], [-1, 4]], [[1, 0], [1, 1], [2, 4]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[2, 4], [-1, -4]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[2, 1], [1, 2], [1, -4]], [[-1, 1], [-2, 2], [-2, -4]], [[-1, 1], [1, 3], [-2, 4]], [[-1, 4], [2, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 3]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[1, 1], [1, 2], [-1, 3]], [[-1, 0], [1, 4], [1, -4]], [[1, -3]], [[1, 3]], [[1, -3]], [[-2, -2]], [[-2, -1]], [[-2, 4]], [[-2, -4]], [[-2, 1]], [[-2, 2]], [[1, 0], [-1, 2], [1, 3]], [[1, 0], [-1, 1], [1, 3]], [[1, 1], [1, 4], [-1, -4]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 0], [-1, 2]], [[1, 1], [-1, 3], [1, 4]], [[-1, 3], [-1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 1], [1, 4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 3]], [[1, 0], [1, 3], [-1, -4]], [[1, 0], [1, 3], [-1, 4]], [[1, 2], [-1, 3], [1, -4]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[-1, 0], [-1, -4]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 0], [-1, 1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 0], [1, 2], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 3], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]]]}
  • id: 34430619
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 20, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4d5', 'nt': [72, 0], 'q_character': None, 'values': [[[4, 0]], [[-2, 0]], [[0, 0]], [[-2, 0], [-3, 3]], [[1, 0], [3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[-3, 2], [1, 3], [-3, -4]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[-1, 0], [-1, 3], [3, 4]], [[3, 2], [1, 3]], [[1, 3], [3, -4]], [[-1, 0], [3, 1], [-1, 3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[1, 0], [-1, 2], [1, -4]], [[-1, 1], [-2, 2], [-2, -4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 1], [1, 3], [1, 4]], [[-1, 1], [1, 3], [-2, 4]], [[1, 0], [1, 1], [-1, 4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[1, 1], [1, 2], [2, 3]], [[1, 0], [-2, 1], [-1, 4]], [[-1, 1], [1, 3], [1, 4]], [[2, 0], [1, 4], [1, -4]], [[1, 0], [1, 1], [2, 4]], [[2, 1], [1, 2], [1, -4]], [[1, 0], [-1, 2], [-2, -4]], [[1, 0], [2, 2], [1, -4]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[1, 1], [2, 2], [1, 4]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[-1, 4], [2, -4]], [[2, 4], [-1, -4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[-2, 1], [-1, 2], [-2, 4]], [[-1, 0], [1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, -3]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[1, 1], [1, 2], [-1, 3]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 3]], [[1, -3]], [[1, 3]], [[-2, -1]], [[-2, 4]], [[-2, 2]], [[-2, -2]], [[-2, -4]], [[-2, 1]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, -4]], [[-1, -2], [-1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 4]], [[-1, 0], [-1, 1]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[1, 0], [-1, 2], [1, 3]], [[-1, 0], [-1, 2]], [[-1, 0], [1, 2], [1, -4]], [[-1, 1], [-1, -4]], [[1, 0], [-1, 1], [1, 3]], [[1, 1], [-1, 3], [1, 4]], [[-1, 2], [-1, 3]], [[1, 0], [1, 3], [-1, 4]], [[1, 2], [-1, 3], [1, -4]], [[-1, 0], [1, 1], [1, 4]], [[-1, 3], [-1, 4]], [[-1, 2], [-1, 4]], [[-1, 0], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 0], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 0], [1, 3], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]]]}
  • id: 34430620
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 21, 'cyclotomic_n': 9, 'dim': 4, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.4d6', 'nt': [72, 6], 'q_character': None, 'values': [[[4, 0]], [[-2, 0]], [[0, 0]], [[1, 0], [3, 3]], [[-2, 0], [-3, 3]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[-1, 0], [3, 1], [-1, 3]], [[3, 2], [1, 3]], [[1, 3], [3, -4]], [[-1, 0], [-3, 1], [-1, 3], [-3, 4]], [[-1, 0], [-1, 3], [3, 4]], [[-3, 2], [1, 3], [-3, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[1, 0], [1, 1], [2, 4]], [[2, 1], [1, 2], [1, -4]], [[2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-2, 2], [-1, 3], [-1, -4]], [[-1, 0], [1, 2], [-1, 3], [-1, -4]], [[1, 0], [-1, 2], [-2, -4]], [[-1, 1], [1, 3], [-2, 4]], [[-1, 1], [1, 3], [1, 4]], [[2, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 2], [2, 3], [1, 4], [-1, -4]], [[-2, 0], [-2, 3], [1, -2], [1, -1]], [[1, 0], [2, 2], [1, -4]], [[-1, 0], [1, 2], [-1, 3], [2, -4]], [[2, 0], [1, 4], [1, -4]], [[1, 0], [-1, 2], [1, -4]], [[-1, 1], [-2, 2], [-2, -4]], [[1, 0], [1, 1], [-1, 4]], [[1, 0], [-2, 1], [-1, 4]], [[-1, 1], [2, 3], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-2, 3], [1, -4]], [[-2, 1], [-1, 2], [-2, 4]], [[-2, 0], [1, 2], [-2, 3], [1, 4]], [[1, 1], [1, 2], [2, 3]], [[2, 4], [-1, -4]], [[-1, 4], [2, -4]], [[2, 1], [1, 3], [1, 4]], [[1, 1], [2, 2], [1, 4]], [[-1, 0], [1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 0], [1, 2], [1, 3], [1, 4]], [[1, 0], [1, 3], [1, -2], [1, -1]], [[1, 0], [1, 1], [1, 3], [1, -4]], [[1, 1], [1, 2], [-1, 3]], [[-1, 1], [-1, 3], [-1, 4], [1, -4]], [[-1, 2], [-1, 3], [1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, -3]], [[1, 3]], [[1, -3]], [[-2, 1]], [[-2, -4]], [[-2, -2]], [[-2, 2]], [[-2, 4]], [[-2, -1]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[1, 0], [1, 3], [-1, 4]], [[-1, 1], [-1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -4]], [[-1, 0], [1, 2], [1, -4]], [[-1, 1], [-1, 3]], [[1, 1], [-1, 3], [1, 4]], [[-1, 0], [1, 1], [1, 4]], [[-1, 0], [-1, 1]], [[1, 2], [-1, 4], [1, -4]], [[1, 2], [-1, 3], [1, -4]], [[1, 0], [-1, 2], [1, 3]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[-1, 3], [-1, -4]], [[1, 0], [-1, 1], [1, 3]], [[-1, 0], [-1, 2]], [[1, 0], [1, 3], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 0], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 0], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]]]}
  • id: 34430621
    {'center': '648.a1.a1', 'center_index': 648, 'center_order': 27, 'counter': 22, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '648.704', 'image_order': 648, 'indicator': 1, 'kernel': '648.a1.a1', 'kernel_order': 27, 'label': '17496.dd.6a', 'nt': [9, 29], 'q_character': None, 'values': [[[6, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430622
    {'center': '648.a1.a1', 'center_index': 648, 'center_order': 27, 'counter': 23, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '648.704', 'image_order': 648, 'indicator': 1, 'kernel': '648.a1.a1', 'kernel_order': 27, 'label': '17496.dd.6b', 'nt': [18, 220], 'q_character': None, 'values': [[[6, 0]], [[-2, 0]], [[2, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430623
    {'center': '648.a1.a1', 'center_index': 648, 'center_order': 27, 'counter': 24, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '648.704', 'image_order': 648, 'indicator': 0, 'kernel': '648.a1.a1', 'kernel_order': 27, 'label': '17496.dd.6c1', 'nt': [36, 1131], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430624
    {'center': '648.a1.a1', 'center_index': 648, 'center_order': 27, 'counter': 25, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '648.704', 'image_order': 648, 'indicator': 0, 'kernel': '648.a1.a1', 'kernel_order': 27, 'label': '17496.dd.6c2', 'nt': [36, 2], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430625
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 26, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6d1', 'nt': [27, 912], 'q_character': None, 'values': [[[6, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[4, 0], [1, 4], [1, -4]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [1, 4], [1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [1, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[0, 0]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 0]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430626
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 27, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6d2', 'nt': [27, 912], 'q_character': None, 'values': [[[6, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[4, 0], [1, 4], [1, -4]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[-2, 0], [1, 4], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 4], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[0, 0]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[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, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[-1, 0]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430627
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 28, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6d3', 'nt': [27, 912], 'q_character': None, 'values': [[[6, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[4, 0], [1, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [2, 4], [2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [1, 4], [1, -4]], [[-2, 0], [1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 4], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[0, 0]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 0]], [[1, 1], [1, -1]], [[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, 0]], [[1, 2], [1, -2]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430628
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 29, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6e1', 'nt': [54, 0], 'q_character': None, 'values': [[[6, 0]], [[-2, 0]], [[2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[4, 0], [1, 4], [1, -4]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [1, 4], [1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [1, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[0, 0]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 0]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430630
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 30, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6e2', 'nt': [54, 0], 'q_character': None, 'values': [[[6, 0]], [[-2, 0]], [[2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[4, 0], [1, 4], [1, -4]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[-2, 0], [1, 4], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 4], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[0, 0]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-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, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 4], [-1, -4]], [[1, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430631
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 31, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6e3', 'nt': [54, 0], 'q_character': None, 'values': [[[6, 0]], [[-2, 0]], [[2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[4, 0], [1, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [2, 4], [2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [1, 4], [1, -4]], [[-2, 0], [1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 4], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[0, 0]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 0]], [[-1, 1], [-1, -1]], [[-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, 0]], [[-1, 2], [-1, -2]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 2], [-1, -2]], [[1, 0]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430632
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 32, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6f1', 'nt': [108, 0], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 3]], [[1, 0], [2, 3]], [[0, 0]], [[1, 0], [2, 3]], [[-1, 0], [-2, 3]], [[1, 0]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[4, 0], [1, 4], [1, -4]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [1, 4], [1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [1, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[0, 0]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 1], [1, 2], [1, -4]], [[1, 1], [1, 2], [1, 4]], [[1, 4], [-1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 0], [2, 3]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 4], [1, -4]], [[1, 1], [1, 2], [1, -4]], [[1, 4], [-1, -4]], [[1, 1], [1, 2], [1, 4]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 1], [1, 2], [1, 4]], [[1, 1], [1, 2], [1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 4], [-1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 0], [2, 3]], [[-1, 4], [1, -4]], [[1, 1], [1, 2], [1, 4]], [[1, 1], [1, 2], [1, -4]], [[1, 1], [1, 2], [1, 4]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 4], [1, -4]], [[1, 0], [2, 3]], [[1, 1], [1, 2], [1, -4]], [[0, 0]], [[-1, 0], [-2, 3]], [[-1, 0], [-2, 3]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-2, 3]], [[-1, 1], [-1, 2], [-1, -4]], [[0, 0]], [[0, 0]], [[1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430633
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 33, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6f2', 'nt': [108, 6], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 3]], [[-1, 0], [-2, 3]], [[0, 0]], [[-1, 0], [-2, 3]], [[1, 0], [2, 3]], [[1, 0]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[4, 0], [1, 4], [1, -4]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [1, 4], [1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [1, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[0, 0]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, -4]], [[1, 1], [1, 2], [1, 4]], [[1, 1], [1, 2], [1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 4], [1, -4]], [[1, 1], [1, 2], [1, -4]], [[1, 1], [1, 2], [1, 4]], [[-1, 0], [-2, 3]], [[1, 1], [1, 2], [1, -4]], [[1, 4], [-1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 1], [1, 2], [1, 4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 1], [1, 2], [1, 4]], [[-1, 4], [1, -4]], [[1, 1], [1, 2], [1, 4]], [[-1, 0], [-2, 3]], [[1, 4], [-1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 4], [-1, -4]], [[-1, 0], [-2, 3]], [[-1, 1], [-1, 2], [-1, -4]], [[0, 0]], [[1, 0], [2, 3]], [[1, 0], [2, 3]], [[1, 1], [1, 2], [1, -4]], [[1, 0], [2, 3]], [[1, 1], [1, 2], [1, -4]], [[0, 0]], [[0, 0]], [[-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430634
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 34, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6f3', 'nt': [108, 0], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 3]], [[1, 0], [2, 3]], [[0, 0]], [[1, 0], [2, 3]], [[-1, 0], [-2, 3]], [[1, 0]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[4, 0], [1, 4], [1, -4]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[-2, 0], [1, 4], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 4], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[0, 0]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2], [1, 4]], [[1, 1], [1, 2], [1, -4]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 4], [1, -4]], [[1, 1], [1, 2], [1, -4]], [[1, 0], [2, 3]], [[-1, 4], [1, -4]], [[1, 1], [1, 2], [1, 4]], [[1, 4], [-1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 1], [1, 2], [1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 4], [-1, -4]], [[1, 1], [1, 2], [1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 1], [1, 2], [1, -4]], [[1, 0], [2, 3]], [[1, 1], [1, 2], [1, 4]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 4], [-1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 1], [1, 2], [1, 4]], [[1, 1], [1, 2], [1, 4]], [[1, 0], [2, 3]], [[1, 4], [-1, -4]], [[0, 0]], [[-1, 0], [-2, 3]], [[-1, 0], [-2, 3]], [[-1, 4], [1, -4]], [[-1, 0], [-2, 3]], [[-1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430635
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 35, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6f4', 'nt': [108, 6], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 3]], [[-1, 0], [-2, 3]], [[0, 0]], [[-1, 0], [-2, 3]], [[1, 0], [2, 3]], [[1, 0]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[4, 0], [1, 4], [1, -4]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[-2, 0], [1, 4], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 4], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[0, 0]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 1], [1, 2], [1, -4]], [[1, 1], [1, 2], [1, 4]], [[1, 4], [-1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-2, 3]], [[1, 4], [-1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 4], [1, -4]], [[1, 1], [1, 2], [1, 4]], [[1, 1], [1, 2], [1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 1], [1, 2], [1, -4]], [[-1, 4], [1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 1], [1, 2], [1, 4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-2, 3]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 1], [1, 2], [1, -4]], [[-1, 4], [1, -4]], [[1, 1], [1, 2], [1, -4]], [[1, 1], [1, 2], [1, 4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 0], [-2, 3]], [[-1, 4], [1, -4]], [[0, 0]], [[1, 0], [2, 3]], [[1, 0], [2, 3]], [[1, 4], [-1, -4]], [[1, 0], [2, 3]], [[1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2], [1, 4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430636
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 36, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6f5', 'nt': [108, 0], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 3]], [[1, 0], [2, 3]], [[0, 0]], [[1, 0], [2, 3]], [[-1, 0], [-2, 3]], [[1, 0]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[4, 0], [1, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [2, 4], [2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [1, 4], [1, -4]], [[-2, 0], [1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 4], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[0, 0]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 4], [-1, -4]], [[1, 1], [1, 2], [1, 4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 4], [1, -4]], [[1, 1], [1, 2], [1, -4]], [[1, 1], [1, 2], [1, 4]], [[1, 4], [-1, -4]], [[1, 0], [2, 3]], [[1, 1], [1, 2], [1, 4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 1], [1, 2], [1, -4]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 4], [-1, -4]], [[1, 1], [1, 2], [1, -4]], [[1, 4], [-1, -4]], [[1, 0], [2, 3]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 4], [1, -4]], [[1, 1], [1, 2], [1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 0], [2, 3]], [[-1, 1], [-1, 2], [-1, 4]], [[0, 0]], [[-1, 0], [-2, 3]], [[-1, 0], [-2, 3]], [[1, 1], [1, 2], [1, 4]], [[-1, 0], [-2, 3]], [[1, 1], [1, 2], [1, 4]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430637
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 37, 'cyclotomic_n': 9, 'dim': 6, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.6f6', 'nt': [108, 6], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 3]], [[-1, 0], [-2, 3]], [[0, 0]], [[-1, 0], [-2, 3]], [[1, 0], [2, 3]], [[1, 0]], [[3, 1], [3, -1]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 2], [3, -2]], [[3, 4], [3, -4]], [[3, 1], [3, -1]], [[4, 0], [1, 1], [-1, 2], [-1, -4]], [[4, 0], [-1, 1], [1, 2], [-1, 4]], [[4, 0], [1, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[2, 0], [2, 4], [2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [1, 4], [1, -4]], [[-2, 0], [1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 4], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[0, 0]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2], [1, -4]], [[-1, 4], [1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 1], [1, 2], [1, 4]], [[1, 4], [-1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 1], [-1, 2], [-1, 4]], [[-1, 4], [1, -4]], [[-1, 0], [-2, 3]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 1], [1, 2], [1, -4]], [[1, 1], [1, 2], [1, 4]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 1], [1, 2], [1, 4]], [[-1, 4], [1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 0], [-2, 3]], [[1, 1], [1, 2], [1, -4]], [[1, 4], [-1, -4]], [[1, 1], [1, 2], [1, 4]], [[1, 4], [-1, -4]], [[-1, 1], [-1, 2], [-1, -4]], [[1, 1], [1, 2], [1, -4]], [[1, 1], [1, 2], [1, -4]], [[-1, 0], [-2, 3]], [[1, 1], [1, 2], [1, 4]], [[0, 0]], [[1, 0], [2, 3]], [[1, 0], [2, 3]], [[-1, 1], [-1, 2], [-1, 4]], [[1, 0], [2, 3]], [[-1, 1], [-1, 2], [-1, 4]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 2], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430638
    {'center': '648.a1.a1', 'center_index': 648, 'center_order': 27, 'counter': 38, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '648.704', 'image_order': 648, 'indicator': 0, 'kernel': '648.a1.a1', 'kernel_order': 27, 'label': '17496.dd.8a1', 'nt': [24, 1540], 'q_character': None, 'values': [[[8, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0], [-6, 1]], [[2, 0], [6, 1]], [[2, 0], [6, 1]], [[-4, 0], [-6, 1]], [[-4, 0], [-6, 1]], [[2, 0], [6, 1]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0], [-6, 1]], [[-4, 0]], [[2, 0]], [[2, 0], [6, 1]], [[2, 0], [6, 1]], [[2, 0], [6, 1]], [[-4, 0], [-6, 1]], [[-4, 0], [-6, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0], [6, 1]], [[2, 0], [6, 1]], [[2, 0]], [[2, 0], [6, 1]], [[-4, 0]], [[-4, 0], [-6, 1]], [[-4, 0], [-6, 1]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0], [-6, 1]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[2, 0], [6, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0], [-6, 1]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]]]}
  • id: 34430639
    {'center': '648.a1.a1', 'center_index': 648, 'center_order': 27, 'counter': 39, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '648.704', 'image_order': 648, 'indicator': 0, 'kernel': '648.a1.a1', 'kernel_order': 27, 'label': '17496.dd.8a2', 'nt': [24, 2], 'q_character': None, 'values': [[[8, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [6, 1]], [[-4, 0], [-6, 1]], [[-4, 0], [-6, 1]], [[2, 0], [6, 1]], [[2, 0], [6, 1]], [[-4, 0], [-6, 1]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0], [6, 1]], [[-4, 0]], [[2, 0]], [[-4, 0], [-6, 1]], [[-4, 0], [-6, 1]], [[-4, 0], [-6, 1]], [[2, 0], [6, 1]], [[2, 0], [6, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0], [-6, 1]], [[-4, 0], [-6, 1]], [[2, 0]], [[-4, 0], [-6, 1]], [[-4, 0]], [[2, 0], [6, 1]], [[2, 0], [6, 1]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[2, 0], [6, 1]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0], [-6, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0], [6, 1]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]]]}
  • id: 34430641
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  • id: 34430642
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  • id: 34430643
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  • id: 34430644
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  • id: 34430645
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  • id: 34430646
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  • id: 34430647
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  • id: 34430648
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  • id: 34430649
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  • id: 34430650
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 49, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12c2', 'nt': [54, 0], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[6, 0], [-3, 1], [3, 2], [-3, 4]], [[6, 0], [3, 4], [3, -4]], [[6, 0], [3, 1], [-3, 2], [-3, -4]], [[6, 0], [3, 4], [3, -4]], [[6, 0], [3, 1], [-3, 2], [-3, -4]], [[6, 0], [-3, 1], [3, 2], [-3, 4]], [[4, 0], [4, 1], [-4, 2], [-4, -4]], [[4, 0], [-4, 1], [4, 2], [-4, 4]], [[4, 0], [4, 4], [4, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [3, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [3, 1], [-3, 2], [-1, 4], [-4, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [-4, 1], [4, 2], [-3, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[1, 0], [-2, 4], [-2, -4]], [[1, 0], [-2, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[-1, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[-2, 0], [1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-3, 0]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430652
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 50, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12c3', 'nt': [54, 0], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[6, 0], [3, 1], [-3, 2], [-3, -4]], [[6, 0], [-3, 1], [3, 2], [-3, 4]], [[6, 0], [3, 4], [3, -4]], [[6, 0], [-3, 1], [3, 2], [-3, 4]], [[6, 0], [3, 4], [3, -4]], [[6, 0], [3, 1], [-3, 2], [-3, -4]], [[4, 0], [4, 4], [4, -4]], [[4, 0], [4, 1], [-4, 2], [-4, -4]], [[4, 0], [-4, 1], [4, 2], [-4, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 0], [-2, 4], [-2, -4]], [[2, 0], [-4, 1], [4, 2], [-3, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [3, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 0], [3, 1], [-3, 2], [-1, 4], [-4, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 0], [-2, 4], [-2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[-1, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[-2, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-1, -4]], [[-2, 0], [1, 4], [1, -4]], [[-3, 0]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430653
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  • id: 34430654
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  • id: 34430655
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  • id: 34430656
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  • id: 34430657
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 55, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12e2', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, 0]], [[2, -3]], [[2, 3]], [[0, 0]], [[6, 4], [-3, -4]], [[-3, 1], [-6, 2], [-6, -4]], [[3, 1], [6, 2], [3, 4]], [[6, 1], [3, 2], [3, -4]], [[-6, 1], [-3, 2], [-6, 4]], [[-3, 4], [6, -4]], [[-4, 0], [2, 4], [2, -4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 0], [-2, 4], [-2, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[2, 0], [2, 4], [2, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [2, 4], [2, -4]], [[0, 0]], [[-2, 0], [-1, 1], [1, 2], [-3, 3], [-1, 4]], [[-2, 0], [1, 1], [-1, 2], [-3, 3], [-1, -4]], [[-2, 0], [-3, 3], [1, 4], [1, -4]], [[1, 0], [1, 1], [-1, 2], [3, 3], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [3, 3], [-1, 4]], [[1, 0], [3, 3], [1, 4], [1, -4]], [[1, 0], [1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, -4]], [[-1, 1]], [[-1, 2]], [[-1, -3]], [[2, 1]], [[2, 4]], [[2, -1]], [[2, -4]], [[2, -2]], [[2, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -3]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, 4]], [[-1, -3]], [[-1, -1]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430658
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 56, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12e3', 'nt': [108, 0], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, 0]], [[2, 3]], [[2, -3]], [[0, 0]], [[3, 1], [6, 2], [3, 4]], [[6, 4], [-3, -4]], [[6, 1], [3, 2], [3, -4]], [[-3, 4], [6, -4]], [[-3, 1], [-6, 2], [-6, -4]], [[-6, 1], [-3, 2], [-6, 4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[-4, 0], [2, 4], [2, -4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[1, 0], [-2, 4], [-2, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[2, 0], [2, 4], [2, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 0], [1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[0, 0]], [[1, 0], [1, 1], [-1, 2], [3, 3], [-1, -4]], [[1, 0], [3, 3], [1, 4], [1, -4]], [[1, 0], [-1, 1], [1, 2], [3, 3], [-1, 4]], [[-2, 0], [-3, 3], [1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-3, 3], [-1, -4]], [[-2, 0], [-1, 1], [1, 2], [-3, 3], [-1, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -2]], [[-1, -4]], [[-1, 1]], [[-1, 3]], [[2, -4]], [[2, 2]], [[2, 4]], [[2, -2]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 4]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, -4]], [[-1, -3]], [[-1, -4]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430659
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 57, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12e4', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, 0]], [[2, -3]], [[2, 3]], [[0, 0]], [[-6, 1], [-3, 2], [-6, 4]], [[-3, 4], [6, -4]], [[-3, 1], [-6, 2], [-6, -4]], [[6, 4], [-3, -4]], [[6, 1], [3, 2], [3, -4]], [[3, 1], [6, 2], [3, 4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[-4, 0], [2, 4], [2, -4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[1, 0], [-2, 4], [-2, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[2, 0], [2, 4], [2, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 0], [1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[0, 0]], [[-2, 0], [1, 1], [-1, 2], [-3, 3], [-1, -4]], [[-2, 0], [-3, 3], [1, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-3, 3], [-1, 4]], [[1, 0], [3, 3], [1, 4], [1, -4]], [[1, 0], [1, 1], [-1, 2], [3, 3], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [3, 3], [-1, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 2]], [[-1, 4]], [[-1, -1]], [[-1, -3]], [[2, 4]], [[2, -2]], [[2, -4]], [[2, 2]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -3]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -3]], [[-1, -4]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 4]], [[-1, 3]], [[-1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430660
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  • id: 34430661
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 59, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12e6', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, 0]], [[2, -3]], [[2, 3]], [[0, 0]], [[6, 1], [3, 2], [3, -4]], [[3, 1], [6, 2], [3, 4]], [[-3, 4], [6, -4]], [[-6, 1], [-3, 2], [-6, 4]], [[6, 4], [-3, -4]], [[-3, 1], [-6, 2], [-6, -4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[-4, 0], [2, 4], [2, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 0], [-2, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[2, 0], [2, 4], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [2, 4], [2, -4]], [[1, 0], [1, 4], [1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[0, 0]], [[-2, 0], [-3, 3], [1, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-3, 3], [-1, 4]], [[-2, 0], [1, 1], [-1, 2], [-3, 3], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [3, 3], [-1, 4]], [[1, 0], [3, 3], [1, 4], [1, -4]], [[1, 0], [1, 1], [-1, 2], [3, 3], [-1, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -4]], [[2, -2]], [[2, 2]], [[2, 4]], [[2, -1]], [[-1, -2]], [[-1, -4]], [[-1, -3]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 4]], [[2, -4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -3]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430663
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 60, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12f1', 'nt': [108, 0], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[-6, 0], [-9, 3]], [[3, 0], [9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[-3, 0], [3, 2], [-3, 3], [6, -4]], [[6, 1], [3, 3], [3, 4]], [[-3, 1], [3, 3], [-6, 4]], [[-3, 0], [-6, 2], [-3, 3], [-3, -4]], [[-3, 0], [3, 2], [-3, 3], [-3, -4]], [[-3, 1], [3, 3], [3, 4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[3, 2], [3, 3]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[3, 0], [-3, 1]], [[3, 0], [3, 1], [3, 4]], [[-3, 0], [-3, 3], [3, 4]], [[3, 0], [-3, 2]], [[3, 0], [-3, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-3, 0], [3, 1], [-3, 3]], [[3, 0], [-3, 4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[3, 3], [3, -4]], [[-3, 2], [3, 3], [-3, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[3, 0], [3, 2], [3, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[3, 3]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[3, -3]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, 4]], [[1, 0], [-1, 1], [-1, 4]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[1, -2], [1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[1, 0], [1, 2]], [[1, 0], [1, -4]], [[1, 3], [1, -4]], [[1, 2], [1, 3]], [[1, 1], [1, -4]], [[-1, 1], [1, 3], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 3], [1, -4]], [[1, 1], [1, 3]], [[-1, 0], [1, 2], [-1, 3]], [[-1, 0], [-1, 3], [1, 4]], [[1, 0], [1, 1]], [[1, 2], [1, 4]], [[-1, 2], [1, 3], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 0], [1, 1], [-1, 3]], [[-1, 2], [1, 4], [-1, -4]], [[1, 3], [1, 4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430664
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 61, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12f2', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0], [9, 3]], [[-6, 0], [-9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[-3, 1], [3, 3], [3, 4]], [[-3, 0], [-6, 2], [-3, 3], [-3, -4]], [[-3, 0], [3, 2], [-3, 3], [-3, -4]], [[6, 1], [3, 3], [3, 4]], [[-3, 1], [3, 3], [-6, 4]], [[-3, 0], [3, 2], [-3, 3], [6, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[3, 0], [3, 2], [3, -4]], [[3, 0], [-3, 2]], [[3, 3], [3, -4]], [[3, 0], [3, 1], [3, 4]], [[3, 0], [-3, 4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-3, 2], [3, 3], [-3, -4]], [[3, 0], [-3, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, 2], [3, 3]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[-3, 0], [-3, 3], [3, 4]], [[-3, 0], [3, 1], [-3, 3]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[3, 0], [-3, 1]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[3, -3]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[3, 3]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, -4]], [[1, 0], [1, 2]], [[1, 1], [1, 3]], [[1, 1], [1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 2]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 3], [1, 4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 0], [1, 2], [-1, 3]], [[1, 0], [1, -4]], [[1, 3], [1, 4]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[-1, 1], [1, 3], [-1, 4]], [[1, 3], [1, -4]], [[1, 0], [-1, 2], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 2], [1, 3], [-1, -4]], [[1, 1], [1, -4]], [[-1, 0], [-1, 3], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 0], [1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430665
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 62, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12f3', 'nt': [108, 0], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[-6, 0], [-9, 3]], [[3, 0], [9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[-3, 0], [-6, 2], [-3, 3], [-3, -4]], [[-3, 1], [3, 3], [-6, 4]], [[-3, 1], [3, 3], [3, 4]], [[-3, 0], [3, 2], [-3, 3], [-3, -4]], [[-3, 0], [3, 2], [-3, 3], [6, -4]], [[6, 1], [3, 3], [3, 4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[3, 3], [3, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[3, 0], [3, 1], [3, 4]], [[3, 0], [-3, 4]], [[-3, 0], [3, 1], [-3, 3]], [[3, 0], [-3, -4]], [[3, 0], [3, 2], [3, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[3, 0], [-3, 1]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-3, 0], [-3, 3], [3, 4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[-3, 2], [3, 3], [-3, -4]], [[3, 2], [3, 3]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[3, 0], [-3, 2]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[3, 3]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, -3]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 4]], [[2, 2]], [[2, -2]], [[2, -4]], [[2, 1]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 3]], [[1, 2], [1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, 4]], [[-1, 0], [-1, 3], [1, 4]], [[1, 0], [1, -4]], [[1, 0], [-1, 2], [-1, -4]], [[-1, 2], [1, 3], [-1, -4]], [[1, 3], [1, -4]], [[1, -2], [1, -1]], [[1, 3], [1, 4]], [[1, 0], [1, 1]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[-1, 1], [1, 3], [-1, 4]], [[-1, 0], [-1, 3], [1, -4]], [[-1, 0], [1, 1], [-1, 3]], [[1, 0], [-1, 1], [-1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 3]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[1, 1], [1, 2]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 0], [1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430666
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 63, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12f4', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0], [9, 3]], [[-6, 0], [-9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[6, 1], [3, 3], [3, 4]], [[-3, 0], [3, 2], [-3, 3], [-3, -4]], [[-3, 0], [3, 2], [-3, 3], [6, -4]], [[-3, 1], [3, 3], [-6, 4]], [[-3, 1], [3, 3], [3, 4]], [[-3, 0], [-6, 2], [-3, 3], [-3, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-3, 0], [-3, 3], [3, 4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[3, 0], [-3, 2]], [[3, 0], [-3, -4]], [[-3, 2], [3, 3], [-3, -4]], [[3, 0], [-3, 4]], [[3, 0], [-3, 1]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[3, 2], [3, 3]], [[3, 0], [3, 2], [3, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[3, 3], [3, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[-3, 0], [3, 1], [-3, 3]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[3, 0], [3, 1], [3, 4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[3, -3]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, 3]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -4]], [[2, -2]], [[2, 2]], [[2, 4]], [[2, -1]], [[1, 0], [1, -4]], [[-1, 1], [1, 3], [-1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[1, 3], [1, -4]], [[1, 0], [1, 4]], [[1, 0], [1, 1]], [[-1, 0], [1, 1], [-1, 3]], [[-1, 0], [-1, 3], [1, 4]], [[1, 1], [1, 2]], [[-1, 0], [-1, 3], [1, -4]], [[1, 0], [-1, 2], [-1, -4]], [[1, 1], [1, 3]], [[-1, 0], [1, 2], [-1, 3]], [[1, 3], [1, 4]], [[-1, 2], [1, 3], [-1, -4]], [[1, 0], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, 3]], [[1, -2], [1, -1]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 0], [-1, 1], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430667
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 64, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12f5', 'nt': [108, 0], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[-6, 0], [-9, 3]], [[3, 0], [9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[-3, 0], [3, 2], [-3, 3], [-3, -4]], [[-3, 1], [3, 3], [3, 4]], [[6, 1], [3, 3], [3, 4]], [[-3, 0], [3, 2], [-3, 3], [6, -4]], [[-3, 0], [-6, 2], [-3, 3], [-3, -4]], [[-3, 1], [3, 3], [-6, 4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-3, 2], [3, 3], [-3, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, 0], [-3, 4]], [[3, 0], [-3, 1]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[3, 0], [3, 2], [3, -4]], [[3, 0], [-3, 2]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-3, 0], [-3, 3], [3, 4]], [[3, 0], [3, 1], [3, 4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[-3, 0], [3, 1], [-3, 3]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[3, 2], [3, 3]], [[3, 3], [3, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[3, 0], [-3, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[3, 3]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[3, -3]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -2]], [[1, 0], [1, 1]], [[-1, 0], [-1, 3], [1, -4]], [[1, 1], [1, -4]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 0], [1, 1], [-1, 3]], [[1, 0], [-1, 2], [-1, -4]], [[1, 0], [1, 2]], [[1, 2], [1, 3]], [[-1, 2], [1, 3], [-1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, 3]], [[1, 0], [-1, 1], [-1, 4]], [[-1, 0], [1, 2], [-1, 3]], [[1, 3], [1, 4]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[1, 0], [1, 4]], [[1, -2], [1, -1]], [[1, 3], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 0], [-1, 3], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [1, 3], [-1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430668
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 65, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12f6', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0], [9, 3]], [[-6, 0], [-9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[-3, 1], [3, 3], [-6, 4]], [[-3, 0], [3, 2], [-3, 3], [6, -4]], [[-3, 0], [-6, 2], [-3, 3], [-3, -4]], [[-3, 1], [3, 3], [3, 4]], [[6, 1], [3, 3], [3, 4]], [[-3, 0], [3, 2], [-3, 3], [-3, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-3, 0], [3, 1], [-3, 3]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, 0], [-3, -4]], [[3, 0], [3, 2], [3, -4]], [[3, 2], [3, 3]], [[3, 0], [-3, 1]], [[3, 0], [3, 1], [3, 4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[3, 3], [3, -4]], [[3, 0], [-3, 2]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[-3, 2], [3, 3], [-3, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[-3, 0], [-3, 3], [3, 4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[3, 0], [-3, 4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[3, -3]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[3, 3]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 2]], [[1, 0], [-1, 2], [-1, -4]], [[1, 3], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2], [1, 3], [-1, -4]], [[1, 0], [1, 1]], [[1, 0], [-1, 1], [-1, 4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[-1, 0], [1, 1], [-1, 3]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[1, 0], [1, 2]], [[-1, 1], [1, 3], [-1, 4]], [[-1, 0], [-1, 3], [1, -4]], [[1, 1], [1, 3]], [[1, 2], [1, 3]], [[1, 0], [1, -4]], [[1, 1], [1, 2]], [[-1, 0], [-1, 3], [1, 4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 3], [1, -4]], [[1, 2], [1, 4]], [[-1, 0], [1, 2], [-1, 3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430669
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 66, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12g1', 'nt': [108, 0], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[-6, 0], [-9, 3]], [[3, 0], [9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[3, 0], [-3, 2], [3, -4]], [[3, 0], [3, 1], [-3, 4]], [[3, 0], [-6, 1], [-3, 4]], [[3, 0], [-3, 2], [-6, -4]], [[3, 0], [6, 2], [3, -4]], [[3, 0], [3, 1], [6, 4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-3, 0], [3, 2], [-3, 3], [3, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-3, 0], [-3, 3], [3, 4]], [[-3, 0], [3, 1], [-3, 3]], [[3, 1], [3, 3], [3, 4]], [[-3, 2], [3, 3], [-3, -4]], [[3, 2], [3, 3]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[3, 3], [-3, 4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-3, 1], [3, 3]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[-3, 0], [-3, 2], [-3, 3]], [[-3, 0], [-3, 3], [-3, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[3, 3], [3, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, 0]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, 4]], [[-1, 0], [1, 1], [-1, 3]], [[1, 0], [1, -4]], [[1, 2], [1, 4]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -2]], [[1, 1], [1, 3]], [[-1, 2], [1, 3], [-1, -4]], [[1, 2], [1, 3]], [[-1, 0], [1, 2], [-1, 3]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[1, -2], [1, -1]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[1, 0], [1, 2]], [[1, 0], [1, 4]], [[1, 0], [-1, 2], [-1, -4]], [[-1, 1], [1, 3], [-1, 4]], [[-1, 0], [-1, 3], [1, 4]], [[1, 1], [1, -4]], [[-1, 0], [-1, 3], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 3], [1, 4]], [[1, 1], [1, 2]], [[1, 0], [-1, 1], [-1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430670
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 67, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12g2', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0], [9, 3]], [[-6, 0], [-9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[3, 0], [3, 1], [6, 4]], [[3, 0], [-3, 2], [-6, -4]], [[3, 0], [6, 2], [3, -4]], [[3, 0], [3, 1], [-3, 4]], [[3, 0], [-6, 1], [-3, 4]], [[3, 0], [-3, 2], [3, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-3, 1], [3, 3]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[3, 3], [3, -4]], [[-3, 2], [3, 3], [-3, -4]], [[-3, 0], [-3, 2], [-3, 3]], [[-3, 0], [3, 1], [-3, 3]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-3, 0], [-3, 3], [-3, -4]], [[3, 2], [3, 3]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-3, 0], [3, 2], [-3, 3], [3, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[3, 1], [3, 3], [3, 4]], [[3, 3], [-3, 4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[-3, 0], [-3, 3], [3, 4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, 0]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, -4]], [[-1, 2], [1, 3], [-1, -4]], [[1, 0], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 2]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[-1, 0], [1, 1], [-1, 3]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[-1, 1], [1, 3], [-1, 4]], [[1, 1], [1, 3]], [[1, 1], [1, 2]], [[1, 0], [-1, 2], [-1, -4]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 4]], [[1, 0], [1, -4]], [[1, 0], [1, 1]], [[-1, 0], [1, 2], [-1, 3]], [[1, 3], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 3], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[-1, 0], [-1, 3], [1, -4]], [[1, -2], [1, -1]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 0], [-1, 3], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430671
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 68, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12g3', 'nt': [108, 0], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[-6, 0], [-9, 3]], [[3, 0], [9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[0, 0]], [[3, 0], [6, 2], [3, -4]], [[3, 0], [3, 1], [6, 4]], [[3, 0], [3, 1], [-3, 4]], [[3, 0], [-3, 2], [3, -4]], [[3, 0], [-3, 2], [-6, -4]], [[3, 0], [-6, 1], [-3, 4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[-3, 0], [-3, 3], [-3, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[-3, 0], [-3, 3], [3, 4]], [[-3, 1], [3, 3]], [[3, 3], [3, -4]], [[-3, 2], [3, 3], [-3, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[3, 1], [3, 3], [3, 4]], [[-3, 0], [3, 1], [-3, 3]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[3, 3], [-3, 4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[-3, 0], [3, 2], [-3, 3], [3, -4]], [[-3, 0], [-3, 2], [-3, 3]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[3, 2], [3, 3]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[3, 0]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -2]], [[-1, 0], [-1, 3], [1, 4]], [[1, 0], [1, 2]], [[1, -2], [1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 3], [1, 4]], [[1, 3], [1, -4]], [[-1, 2], [1, 3], [-1, -4]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[-1, 0], [-1, 3], [1, -4]], [[1, 1], [1, -4]], [[1, 0], [1, 4]], [[-1, 0], [1, 1], [-1, 3]], [[1, 0], [-1, 2], [-1, -4]], [[1, 0], [-1, 1], [-1, 4]], [[1, 0], [1, -4]], [[1, 1], [1, 3]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[1, 2], [1, 4]], [[-1, 0], [1, 2], [-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [1, 3], [-1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 0], [1, 1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430672
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 69, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12g4', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0], [9, 3]], [[-6, 0], [-9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[3, 0], [-6, 1], [-3, 4]], [[3, 0], [-3, 2], [3, -4]], [[3, 0], [-3, 2], [-6, -4]], [[3, 0], [3, 1], [6, 4]], [[3, 0], [3, 1], [-3, 4]], [[3, 0], [6, 2], [3, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[3, 3], [-3, 4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[3, 2], [3, 3]], [[3, 3], [3, -4]], [[-3, 0], [3, 2], [-3, 3], [3, -4]], [[-3, 0], [-3, 3], [3, 4]], [[-3, 0], [3, 1], [-3, 3]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-3, 0], [-3, 2], [-3, 3]], [[-3, 2], [3, 3], [-3, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-3, 0], [-3, 3], [-3, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[-3, 1], [3, 3]], [[3, 1], [3, 3], [3, 4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[3, 0]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 2]], [[1, 3], [1, -4]], [[1, 0], [-1, 1], [-1, 4]], [[1, 1], [1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 0], [-1, 3], [1, -4]], [[-1, 0], [-1, 3], [1, 4]], [[-1, 0], [1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 3], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 0], [1, -4]], [[-1, 2], [1, 3], [-1, -4]], [[1, 0], [1, 1]], [[1, 0], [1, 2]], [[1, 0], [1, 4]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[1, 2], [1, 3]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [1, 3], [-1, 4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[-1, 0], [1, 2], [-1, 3]], [[1, 1], [1, -4]], [[1, 0], [-1, 2], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430674
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  • id: 34430675
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 71, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12g6', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0], [9, 3]], [[-6, 0], [-9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[0, 0]], [[3, 0], [3, 1], [-3, 4]], [[3, 0], [6, 2], [3, -4]], [[3, 0], [-3, 2], [3, -4]], [[3, 0], [-6, 1], [-3, 4]], [[3, 0], [3, 1], [6, 4]], [[3, 0], [-3, 2], [-6, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[3, 1], [3, 3], [3, 4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-3, 2], [3, 3], [-3, -4]], [[3, 2], [3, 3]], [[-3, 0], [-3, 3], [-3, -4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[-3, 0], [-3, 3], [3, 4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-3, 0], [3, 2], [-3, 3], [3, -4]], [[3, 3], [3, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-3, 0], [-3, 2], [-3, 3]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[3, 3], [-3, 4]], [[-3, 1], [3, 3]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[-3, 0], [3, 1], [-3, 3]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[3, 0]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -4]], [[2, -2]], [[2, 2]], [[2, 4]], [[2, -1]], [[1, 2], [1, 3]], [[1, 0], [1, 1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[-1, 0], [1, 2], [-1, 3]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4]], [[-1, 0], [-1, 3], [1, 4]], [[1, 3], [1, 4]], [[-1, 1], [1, 3], [-1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 0], [1, 2]], [[1, 3], [1, -4]], [[1, 0], [1, 4]], [[1, 0], [-1, 2], [-1, -4]], [[1, 0], [-1, 1], [-1, 4]], [[-1, 0], [-1, 3], [1, -4]], [[-1, 2], [1, 3], [-1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 3]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[-1, 0], [-1, 2], [-1, 3], [-1, -4]], [[1, 2], [1, 4]], [[1, 0], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 0], [1, 1], [-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430676
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 72, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12h1', 'nt': [108, 0], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[3, 1], [3, 2], [6, 3]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-2, 0], [4, 4], [4, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[-3, 3]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-3, -3]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, 3]], [[1, 1], [1, 2]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430677
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 73, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12h2', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[3, 1], [3, 2], [6, 3]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[-2, 0], [4, 4], [4, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[-3, -3]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-3, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, -3]], [[1, -2], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430678
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 74, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12h3', 'nt': [108, 0], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[3, 1], [3, 2], [6, 3]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 0], [4, 4], [4, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-3, 3]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-3, -3]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, 3]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430679
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 75, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12h4', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[3, 1], [3, 2], [6, 3]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 0], [4, 4], [4, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-3, -3]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-3, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, -3]], [[1, 2], [1, 4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 2], [1, 4]], [[1, -2], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430680
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 76, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12h5', 'nt': [108, 0], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[3, 1], [3, 2], [6, 3]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 0], [4, 4], [4, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-3, 3]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-3, -3]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, 3]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, -1]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, -2], [1, -1]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, -2], [1, -1]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -1]], [[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]]]}
  • id: 34430681
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 77, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12h6', 'nt': [108, 6], 'q_character': None, 'values': [[[12, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[3, 1], [3, 2], [6, 3]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 0], [4, 4], [4, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-3, -3]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-3, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, -3]], [[2, 3]], [[2, -3]], [[1, 1], [1, -4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 2], [1, 4]], [[-1, 2], [1, 4], [-1, -4]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, -2], [1, -1]], [[1, -2], [1, -1]], [[-1, 1], [-1, 4], [1, -4]], [[1, 1], [1, -4]], [[1, 1], [1, 2]], [[1, 1], [1, -4]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, -2], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430682
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 78, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12i1', 'nt': [216, 0], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[-2, 0]], [[-2, -3]], [[-2, 3]], [[0, 0]], [[6, 4], [-3, -4]], [[-3, 1], [-6, 2], [-6, -4]], [[3, 1], [6, 2], [3, 4]], [[6, 1], [3, 2], [3, -4]], [[-6, 1], [-3, 2], [-6, 4]], [[-3, 4], [6, -4]], [[-4, 0], [2, 4], [2, -4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 0], [-2, 4], [-2, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[2, 0], [2, 4], [2, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 0], [2, 4], [2, -4]], [[0, 0]], [[-2, 0], [-1, 1], [1, 2], [-3, 3], [-1, 4]], [[-2, 0], [1, 1], [-1, 2], [-3, 3], [-1, -4]], [[-2, 0], [-3, 3], [1, 4], [1, -4]], [[1, 0], [1, 1], [-1, 2], [3, 3], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [3, 3], [-1, 4]], [[1, 0], [3, 3], [1, 4], [1, -4]], [[1, 0], [1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, -4]], [[1, 1]], [[1, 2]], [[1, -3]], [[-2, 1]], [[-2, 4]], [[-2, -1]], [[-2, -4]], [[-2, -2]], [[-2, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -3]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 4]], [[1, -3]], [[1, -1]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430683
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  • id: 34430685
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 80, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12i3', 'nt': [216, 0], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[-2, 0]], [[-2, -3]], [[-2, 3]], [[0, 0]], [[-6, 1], [-3, 2], [-6, 4]], [[-3, 4], [6, -4]], [[-3, 1], [-6, 2], [-6, -4]], [[6, 4], [-3, -4]], [[6, 1], [3, 2], [3, -4]], [[3, 1], [6, 2], [3, 4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[-4, 0], [2, 4], [2, -4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[1, 0], [-2, 4], [-2, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[2, 0], [2, 4], [2, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 0], [1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[0, 0]], [[-2, 0], [1, 1], [-1, 2], [-3, 3], [-1, -4]], [[-2, 0], [-3, 3], [1, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-3, 3], [-1, 4]], [[1, 0], [3, 3], [1, 4], [1, -4]], [[1, 0], [1, 1], [-1, 2], [3, 3], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [3, 3], [-1, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, -1]], [[-2, 4]], [[-2, -4]], [[-2, 1]], [[-2, 2]], [[1, 4]], [[1, -1]], [[1, -3]], [[-2, 4]], [[-2, -2]], [[-2, -4]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, -4]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, 3]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430686
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 81, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12i4', 'nt': [216, 6], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[-2, 0]], [[-2, 3]], [[-2, -3]], [[0, 0]], [[3, 1], [6, 2], [3, 4]], [[6, 4], [-3, -4]], [[6, 1], [3, 2], [3, -4]], [[-3, 4], [6, -4]], [[-3, 1], [-6, 2], [-6, -4]], [[-6, 1], [-3, 2], [-6, 4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[-4, 0], [2, 4], [2, -4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[1, 0], [-2, 4], [-2, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[2, 0], [2, 4], [2, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 0], [1, 4], [1, -4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [2, 4], [2, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[0, 0]], [[1, 0], [1, 1], [-1, 2], [3, 3], [-1, -4]], [[1, 0], [3, 3], [1, 4], [1, -4]], [[1, 0], [-1, 1], [1, 2], [3, 3], [-1, 4]], [[-2, 0], [-3, 3], [1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-3, 3], [-1, -4]], [[-2, 0], [-1, 1], [1, 2], [-3, 3], [-1, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 1]], [[-2, -4]], [[-2, 4]], [[-2, -1]], [[-2, -2]], [[1, -4]], [[1, 1]], [[1, 3]], [[-2, -4]], [[-2, 2]], [[-2, 4]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 4]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, -3]], [[1, -4]], [[1, 0]], [[1, 0]], [[1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430687
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 82, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12i5', 'nt': [216, 0], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[-2, 0]], [[-2, -3]], [[-2, 3]], [[0, 0]], [[6, 1], [3, 2], [3, -4]], [[3, 1], [6, 2], [3, 4]], [[-3, 4], [6, -4]], [[-6, 1], [-3, 2], [-6, 4]], [[6, 4], [-3, -4]], [[-3, 1], [-6, 2], [-6, -4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[-4, 0], [2, 4], [2, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 0], [-2, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[2, 0], [2, 4], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [2, 4], [2, -4]], [[1, 0], [1, 4], [1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[0, 0]], [[-2, 0], [-3, 3], [1, 4], [1, -4]], [[-2, 0], [-1, 1], [1, 2], [-3, 3], [-1, 4]], [[-2, 0], [1, 1], [-1, 2], [-3, 3], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [3, 3], [-1, 4]], [[1, 0], [3, 3], [1, 4], [1, -4]], [[1, 0], [1, 1], [-1, 2], [3, 3], [-1, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -4]], [[-2, -2]], [[-2, 2]], [[-2, 4]], [[-2, -1]], [[1, -2]], [[1, -4]], [[1, -3]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, 4]], [[-2, -4]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430688
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 83, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12i6', 'nt': [216, 6], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[-2, 0]], [[-2, 3]], [[-2, -3]], [[0, 0]], [[-3, 1], [-6, 2], [-6, -4]], [[-6, 1], [-3, 2], [-6, 4]], [[6, 4], [-3, -4]], [[3, 1], [6, 2], [3, 4]], [[-3, 4], [6, -4]], [[6, 1], [3, 2], [3, -4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[-4, 0], [2, 4], [2, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 0], [-2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[2, 0], [2, 4], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [2, 4], [2, -4]], [[1, 0], [1, 4], [1, -4]], [[-1, 0], [-2, 1], [2, 2], [-2, 4]], [[-1, 0], [2, 1], [-2, 2], [-2, -4]], [[0, 0]], [[1, 0], [3, 3], [1, 4], [1, -4]], [[1, 0], [-1, 1], [1, 2], [3, 3], [-1, 4]], [[1, 0], [1, 1], [-1, 2], [3, 3], [-1, -4]], [[-2, 0], [-1, 1], [1, 2], [-3, 3], [-1, 4]], [[-2, 0], [-3, 3], [1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 2], [-3, 3], [-1, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 4]], [[-2, 2]], [[-2, -2]], [[-2, -4]], [[-2, 1]], [[1, 2]], [[1, 4]], [[1, 3]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, -4]], [[-2, 4]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 3]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430689
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  • id: 34430690
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 85, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12j2', 'nt': [216, 6], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[3, 0], [9, 3]], [[-6, 0], [-9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[-3, 1], [3, 3], [3, 4]], [[-3, 0], [-6, 2], [-3, 3], [-3, -4]], [[-3, 0], [3, 2], [-3, 3], [-3, -4]], [[6, 1], [3, 3], [3, 4]], [[-3, 1], [3, 3], [-6, 4]], [[-3, 0], [3, 2], [-3, 3], [6, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[3, 0], [3, 2], [3, -4]], [[3, 0], [-3, 2]], [[3, 3], [3, -4]], [[3, 0], [3, 1], [3, 4]], [[3, 0], [-3, 4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-3, 2], [3, 3], [-3, -4]], [[3, 0], [-3, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, 2], [3, 3]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[-3, 0], [-3, 3], [3, 4]], [[-3, 0], [3, 1], [-3, 3]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[3, 0], [-3, 1]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[3, -3]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[3, 3]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, -4]], [[-1, 0], [-1, 2]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 2]], [[-1, 2], [-1, 3]], [[-1, 0], [1, 1], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 3], [-1, 4]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[1, 2], [-1, 4], [1, -4]], [[1, 0], [-1, 2], [1, 3]], [[-1, 0], [-1, -4]], [[-1, 3], [-1, 4]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[1, 1], [-1, 3], [1, 4]], [[-1, 3], [-1, -4]], [[-1, 0], [1, 2], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[1, 0], [-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 3], [1, -4]], [[-1, 1], [-1, -4]], [[1, 0], [1, 3], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 0], [-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430691
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  • id: 34430692
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 87, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12j4', 'nt': [216, 6], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[3, 0], [9, 3]], [[-6, 0], [-9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[6, 1], [3, 3], [3, 4]], [[-3, 0], [3, 2], [-3, 3], [-3, -4]], [[-3, 0], [3, 2], [-3, 3], [6, -4]], [[-3, 1], [3, 3], [-6, 4]], [[-3, 1], [3, 3], [3, 4]], [[-3, 0], [-6, 2], [-3, 3], [-3, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-3, 0], [-3, 3], [3, 4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[3, 0], [-3, 2]], [[3, 0], [-3, -4]], [[-3, 2], [3, 3], [-3, -4]], [[3, 0], [-3, 4]], [[3, 0], [-3, 1]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[3, 2], [3, 3]], [[3, 0], [3, 2], [3, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[3, 3], [3, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[-3, 0], [3, 1], [-3, 3]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[3, 0], [3, 1], [3, 4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[3, -3]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, 3]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -4]], [[-2, -2]], [[-2, 2]], [[-2, 4]], [[-2, -1]], [[-1, 0], [-1, -4]], [[1, 1], [-1, 3], [1, 4]], [[1, 1], [1, 4], [-1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -4]], [[-1, 3], [-1, -4]], [[-1, 0], [-1, 4]], [[-1, 0], [-1, 1]], [[1, 0], [-1, 1], [1, 3]], [[1, 0], [1, 3], [-1, 4]], [[-1, 1], [-1, 2]], [[1, 0], [1, 3], [-1, -4]], [[-1, 0], [1, 2], [1, -4]], [[-1, 1], [-1, 3]], [[1, 0], [-1, 2], [1, 3]], [[-1, 3], [-1, 4]], [[1, 2], [-1, 3], [1, -4]], [[-1, 0], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, 3]], [[-1, -2], [-1, -1]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 0], [1, 1], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430693
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 88, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12j5', 'nt': [216, 0], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[-6, 0], [-9, 3]], [[3, 0], [9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[-3, 0], [3, 2], [-3, 3], [-3, -4]], [[-3, 1], [3, 3], [3, 4]], [[6, 1], [3, 3], [3, 4]], [[-3, 0], [3, 2], [-3, 3], [6, -4]], [[-3, 0], [-6, 2], [-3, 3], [-3, -4]], [[-3, 1], [3, 3], [-6, 4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-3, 2], [3, 3], [-3, -4]], [[1, 1], [2, 2], [-1, 4], [4, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, 0], [-3, 4]], [[3, 0], [-3, 1]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[3, 0], [3, 2], [3, -4]], [[3, 0], [-3, 2]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-3, 0], [-3, 3], [3, 4]], [[3, 0], [3, 1], [3, 4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[-3, 0], [3, 1], [-3, 3]], [[-2, 1], [-1, 2], [2, 4], [-2, -4]], [[3, 2], [3, 3]], [[3, 3], [3, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 1], [-4, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[1, 1], [2, 2], [2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-4, 4], [1, -4]], [[3, 0], [-3, -4]], [[4, 1], [2, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[3, 3]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[3, -3]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 1]], [[-2, -4]], [[-2, 4]], [[-2, -1]], [[-2, -2]], [[-1, 0], [-1, 1]], [[1, 0], [1, 3], [-1, -4]], [[-1, 1], [-1, -4]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0], [-1, 1], [1, 3]], [[-1, 0], [1, 2], [1, -4]], [[-1, 0], [-1, 2]], [[-1, 2], [-1, 3]], [[1, 2], [-1, 3], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 3]], [[-1, 0], [1, 1], [1, 4]], [[1, 0], [-1, 2], [1, 3]], [[-1, 3], [-1, 4]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[-1, 0], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 3], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[1, 0], [1, 3], [-1, 4]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [-1, 3], [1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 0], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430694
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  • id: 34430696
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 90, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12k1', 'nt': [216, 0], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[-6, 0], [-9, 3]], [[3, 0], [9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[3, 0], [-3, 2], [3, -4]], [[3, 0], [3, 1], [-3, 4]], [[3, 0], [-6, 1], [-3, 4]], [[3, 0], [-3, 2], [-6, -4]], [[3, 0], [6, 2], [3, -4]], [[3, 0], [3, 1], [6, 4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-3, 0], [3, 2], [-3, 3], [3, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-3, 0], [-3, 3], [3, 4]], [[-3, 0], [3, 1], [-3, 3]], [[3, 1], [3, 3], [3, 4]], [[-3, 2], [3, 3], [-3, -4]], [[3, 2], [3, 3]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[3, 3], [-3, 4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-3, 1], [3, 3]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[-3, 0], [-3, 2], [-3, 3]], [[-3, 0], [-3, 3], [-3, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[3, 3], [3, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, 0]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, -4]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, 4]], [[1, 0], [-1, 1], [1, 3]], [[-1, 0], [-1, -4]], [[-1, 2], [-1, 4]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -2]], [[-1, 1], [-1, 3]], [[1, 2], [-1, 3], [1, -4]], [[-1, 2], [-1, 3]], [[1, 0], [-1, 2], [1, 3]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 0], [-1, 1]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[-1, 0], [-1, 2]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 2], [1, -4]], [[1, 1], [-1, 3], [1, 4]], [[1, 0], [1, 3], [-1, 4]], [[-1, 1], [-1, -4]], [[1, 0], [1, 3], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 3], [-1, 4]], [[-1, 1], [-1, 2]], [[-1, 0], [1, 1], [1, 4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430697
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 91, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12k2', 'nt': [216, 6], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[3, 0], [9, 3]], [[-6, 0], [-9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[3, 0], [3, 1], [6, 4]], [[3, 0], [-3, 2], [-6, -4]], [[3, 0], [6, 2], [3, -4]], [[3, 0], [3, 1], [-3, 4]], [[3, 0], [-6, 1], [-3, 4]], [[3, 0], [-3, 2], [3, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-3, 1], [3, 3]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[3, 3], [3, -4]], [[-3, 2], [3, 3], [-3, -4]], [[-3, 0], [-3, 2], [-3, 3]], [[-3, 0], [3, 1], [-3, 3]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-3, 0], [-3, 3], [-3, -4]], [[3, 2], [3, 3]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-3, 0], [3, 2], [-3, 3], [3, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[3, 1], [3, 3], [3, 4]], [[3, 3], [-3, 4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[-3, 0], [-3, 3], [3, 4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[3, 0]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, -4]], [[1, 2], [-1, 3], [1, -4]], [[-1, 0], [-1, 4]], [[1, 1], [1, 4], [-1, -4]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[1, 0], [-1, 1], [1, 3]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[1, 1], [-1, 3], [1, 4]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 2]], [[-1, 0], [1, 2], [1, -4]], [[-1, 2], [-1, 3]], [[-1, 0], [1, 1], [1, 4]], [[-1, 0], [-1, -4]], [[-1, 0], [-1, 1]], [[1, 0], [-1, 2], [1, 3]], [[-1, 3], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 3], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[1, 0], [1, 3], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 0], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 0], [1, 3], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430698
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 92, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12k3', 'nt': [216, 0], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[-6, 0], [-9, 3]], [[3, 0], [9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[3, 0], [6, 2], [3, -4]], [[3, 0], [3, 1], [6, 4]], [[3, 0], [3, 1], [-3, 4]], [[3, 0], [-3, 2], [3, -4]], [[3, 0], [-3, 2], [-6, -4]], [[3, 0], [-6, 1], [-3, 4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[-3, 0], [-3, 3], [-3, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[-3, 0], [-3, 3], [3, 4]], [[-3, 1], [3, 3]], [[3, 3], [3, -4]], [[-3, 2], [3, 3], [-3, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[3, 1], [3, 3], [3, 4]], [[-3, 0], [3, 1], [-3, 3]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[3, 3], [-3, 4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[-3, 0], [3, 2], [-3, 3], [3, -4]], [[-3, 0], [-3, 2], [-3, 3]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[3, 2], [3, 3]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[3, 0]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 1]], [[-2, -4]], [[-2, 4]], [[-2, -1]], [[-2, -2]], [[1, 0], [1, 3], [-1, 4]], [[-1, 0], [-1, 2]], [[-1, -2], [-1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 3], [-1, 4]], [[-1, 3], [-1, -4]], [[1, 2], [-1, 3], [1, -4]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[1, 0], [1, 3], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 1], [1, 3]], [[-1, 0], [1, 2], [1, -4]], [[-1, 0], [1, 1], [1, 4]], [[-1, 0], [-1, -4]], [[-1, 1], [-1, 3]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[-1, 2], [-1, 4]], [[1, 0], [-1, 2], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [-1, 3], [1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 0], [-1, 1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430699
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 93, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12k4', 'nt': [216, 6], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[3, 0], [9, 3]], [[-6, 0], [-9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[3, 0], [-6, 1], [-3, 4]], [[3, 0], [-3, 2], [3, -4]], [[3, 0], [-3, 2], [-6, -4]], [[3, 0], [3, 1], [6, 4]], [[3, 0], [3, 1], [-3, 4]], [[3, 0], [6, 2], [3, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[3, 3], [-3, 4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[3, 2], [3, 3]], [[3, 3], [3, -4]], [[-3, 0], [3, 2], [-3, 3], [3, -4]], [[-3, 0], [-3, 3], [3, 4]], [[-3, 0], [3, 1], [-3, 3]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-3, 0], [-3, 2], [-3, 3]], [[-3, 2], [3, 3], [-3, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-3, 0], [-3, 3], [-3, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[-3, 1], [3, 3]], [[3, 1], [3, 3], [3, 4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[3, 0]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, -1]], [[-2, 4]], [[-2, -4]], [[-2, 1]], [[-2, 2]], [[-1, 3], [-1, -4]], [[-1, 0], [1, 1], [1, 4]], [[-1, 1], [-1, 2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0], [1, 3], [-1, -4]], [[1, 0], [1, 3], [-1, 4]], [[1, 0], [-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 0], [-1, -4]], [[1, 2], [-1, 3], [1, -4]], [[-1, 0], [-1, 1]], [[-1, 0], [-1, 2]], [[-1, 0], [-1, 4]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[-1, 2], [-1, 3]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [-1, 3], [1, 4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[1, 0], [-1, 2], [1, 3]], [[-1, 1], [-1, -4]], [[-1, 0], [1, 2], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430700
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 94, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12k5', 'nt': [216, 0], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[-6, 0], [-9, 3]], [[3, 0], [9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[0, 0]], [[3, 0], [-3, 2], [-6, -4]], [[3, 0], [-6, 1], [-3, 4]], [[3, 0], [3, 1], [6, 4]], [[3, 0], [6, 2], [3, -4]], [[3, 0], [-3, 2], [3, -4]], [[3, 0], [3, 1], [-3, 4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[-3, 0], [-3, 2], [-3, 3]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-3, 0], [3, 1], [-3, 3]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[3, 3], [-3, 4]], [[3, 2], [3, 3]], [[3, 3], [3, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[-3, 1], [3, 3]], [[-3, 0], [-3, 3], [3, 4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[3, 1], [3, 3], [3, 4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[-3, 0], [-3, 3], [-3, -4]], [[-3, 0], [3, 2], [-3, 3], [3, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[-3, 2], [3, 3], [-3, -4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[3, 0]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 4]], [[-2, 2]], [[-2, -2]], [[-2, -4]], [[-2, 1]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[-1, 0], [1, 2], [1, -4]], [[-1, 1], [-1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 1], [-1, 3], [1, 4]], [[-1, 2], [-1, 3]], [[-1, 3], [-1, -4]], [[1, 0], [1, 3], [-1, -4]], [[1, 0], [-1, 2], [1, 3]], [[-1, 2], [-1, 4]], [[-1, 0], [1, 1], [1, 4]], [[1, 0], [1, 3], [-1, 4]], [[-1, 0], [-1, -4]], [[-1, 0], [-1, 1]], [[-1, 0], [-1, 2]], [[-1, 3], [-1, 4]], [[1, 0], [-1, 1], [1, 3]], [[-1, -2], [-1, -1]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 3]], [[1, 1], [1, 4], [-1, -4]], [[-1, 0], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 3], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430701
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 95, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12k6', 'nt': [216, 6], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[3, 0], [9, 3]], [[-6, 0], [-9, 3]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[0, 0]], [[3, 0], [3, 1], [-3, 4]], [[3, 0], [6, 2], [3, -4]], [[3, 0], [-3, 2], [3, -4]], [[3, 0], [-6, 1], [-3, 4]], [[3, 0], [3, 1], [6, 4]], [[3, 0], [-3, 2], [-6, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[3, 1], [3, 3], [3, 4]], [[2, 1], [1, 2], [4, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-3, 2], [3, 3], [-3, -4]], [[3, 2], [3, 3]], [[-3, 0], [-3, 3], [-3, -4]], [[-3, 0], [-3, 1], [-3, 3], [-3, 4]], [[-3, 0], [-3, 3], [3, 4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-3, 0], [3, 2], [-3, 3], [3, -4]], [[3, 3], [3, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[-3, 0], [-3, 2], [-3, 3]], [[-1, 1], [-2, 2], [-2, 4], [2, -4]], [[3, 3], [-3, 4]], [[-3, 1], [3, 3]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [1, 2], [-2, 4], [2, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[-4, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 1], [4, 2], [1, 4], [2, -4]], [[-3, 0], [3, 1], [-3, 3]], [[-1, 1], [-2, 2], [1, 4], [-4, -4]], [[1, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [1, 2], [-2, 4], [-1, -4]], [[3, 0]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [1, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -4]], [[-2, -2]], [[-2, 2]], [[-2, 4]], [[-2, -1]], [[-1, 2], [-1, 3]], [[-1, 0], [-1, 1]], [[1, 2], [-1, 4], [1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, 0], [-1, 2], [1, 3]], [[1, 0], [1, 1], [1, 3], [1, 4]], [[1, 0], [1, 3], [-1, 4]], [[-1, 3], [-1, 4]], [[1, 1], [-1, 3], [1, 4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 0], [-1, 2]], [[-1, 3], [-1, -4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 2], [1, -4]], [[-1, 0], [1, 1], [1, 4]], [[1, 0], [1, 3], [-1, -4]], [[1, 2], [-1, 3], [1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 3]], [[-1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[1, 0], [1, 2], [1, 3], [1, -4]], [[-1, 2], [-1, 4]], [[-1, 0], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 0], [-1, 1], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430702
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 96, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12l1', 'nt': [216, 0], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[3, 1], [3, 2], [6, 3]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-2, 0], [4, 4], [4, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[-3, 3]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-3, -3]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-1, 1], [-1, 2]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430703
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 97, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12l2', 'nt': [216, 6], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[3, 1], [3, 2], [6, 3]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[-2, 0], [4, 4], [4, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[-3, -3]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[-3, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430704
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 98, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12l3', 'nt': [216, 0], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[3, 1], [3, 2], [6, 3]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 0], [4, 4], [4, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-3, 3]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-3, -3]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 4], [1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430705
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 99, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12l4', 'nt': [216, 6], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[3, 1], [3, 2], [6, 3]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 0], [4, 4], [4, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-3, -3]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[-3, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-1, 2], [-1, 4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 2], [-1, 4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430593
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 100, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12l5', 'nt': [216, 0], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[3, 1], [3, 2], [6, 3]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 0], [4, 4], [4, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-3, 3]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-3, -3]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, -1]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, -2], [-1, -1]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, -2], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 2]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-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]]]}
  • id: 34430594
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 101, 'cyclotomic_n': 9, 'dim': 12, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.12l6', 'nt': [216, 6], 'q_character': None, 'values': [[[12, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[3, 1], [3, 2], [6, 3]], [[-6, 0], [3, 2], [-6, 3], [3, 4]], [[-6, 0], [3, 1], [-6, 3], [3, -4]], [[-3, 1], [6, 3], [-3, 4], [3, -4]], [[-3, 2], [6, 3], [3, 4], [-3, -4]], [[-6, 0], [-6, 3], [3, -2], [3, -1]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 0], [4, 4], [4, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[1, 1], [2, 2], [-1, 4], [1, -4]], [[1, 0], [2, 1], [-2, 2], [3, 3], [2, 4]], [[2, 0], [-3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 1], [1, 2], [1, 4], [2, -4]], [[-1, 1], [-2, 2], [-2, 4], [-1, -4]], [[1, 1], [2, 2], [2, 4], [1, -4]], [[2, 1], [1, 2], [1, 4], [-1, -4]], [[-1, 1], [1, 2], [-2, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [3, 4], [1, -4]], [[2, 0], [-4, 1], [-2, 2], [-3, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [3, -4]], [[1, 1], [-1, 2], [-1, 4], [1, -4]], [[-1, 1], [1, 2], [1, 4], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [-2, 4], [-3, -4]], [[-2, 1], [-1, 2], [-1, 4], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [-3, 3], [2, 4]], [[-2, 1], [-1, 2], [-1, 4], [1, -4]], [[1, 1], [-1, 2], [2, 4], [-2, -4]], [[2, 0], [3, 1], [3, 2], [-1, 4], [2, -4]], [[2, 0], [2, 1], [4, 2], [3, 4], [1, -4]], [[1, 0], [3, 3], [-2, 4], [-2, -4]], [[2, 0], [-3, 1], [-3, 2], [-1, 4], [-4, -4]], [[2, 0], [1, 1], [-1, 2], [4, 4], [-3, -4]], [[1, 0], [-2, 1], [2, 2], [3, 3], [2, -4]], [[-2, 0], [-2, 1], [2, 2], [-3, 3], [2, -4]], [[-1, 1], [-2, 2], [1, 4], [-1, -4]], [[-2, 0], [-3, 3], [-2, 4], [-2, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 1], [-1, 2], [-1, -4]], [[-1, 0], [-1, 4], [-1, -4]], [[1, 0], [1, 4], [1, -4]], [[1, 0], [-1, 1], [1, 2], [-1, 4]], [[-3, -3]], [[-1, 0], [3, 2], [-1, 4], [2, -4]], [[-1, 0], [1, 1], [-1, 2], [1, 4], [-3, -4]], [[-1, 0], [-1, 1], [-2, 2], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-2, 4]], [[-1, 0], [-3, 1], [-1, 4], [-1, -4]], [[-1, 0], [2, 1], [1, 2], [3, 4], [1, -4]], [[-1, 0], [-1, 1], [1, 2], [1, -4]], [[-3, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-1, 1], [-1, -4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 2], [-1, 4]], [[1, 2], [-1, 4], [1, -4]], [[-1, 1], [-1, 2]], [[1, 2], [-1, 4], [1, -4]], [[1, 1], [1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, -2], [-1, -1]], [[-1, -2], [-1, -1]], [[1, 1], [1, 4], [-1, -4]], [[-1, 1], [-1, -4]], [[-1, 1], [-1, 2]], [[-1, 1], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, -2], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430595
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 102, 'cyclotomic_n': 3, 'dim': 24, 'faithful': True, 'field': [1, -1, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24a1', 'nt': [72, 0], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[-12, 0], [-18, 1]], [[6, 0], [18, 1]], [[-12, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 1]], [[6, -1]], [[6, -1]], [[6, 1]], [[6, 1]], [[6, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[6, 1]], [[6, 1]], [[6, 0]], [[6, -1]], [[6, -1]], [[-6, 0]], [[-6, -1]], [[-6, 1]], [[6, 0]], [[6, 1]], [[-6, 0]], [[6, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-6, -1]], [[-6, 1]], [[0, 0]], [[-6, 1]], [[-6, -1]], [[0, 0]], [[0, 0]], [[6, -1]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[6, -1]], [[3, 1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, -1]], [[3, 0]], [[6, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430596
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 103, 'cyclotomic_n': 3, 'dim': 24, 'faithful': True, 'field': [1, -1, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24a2', 'nt': [72, 2], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[6, 0], [18, 1]], [[-12, 0], [-18, 1]], [[-12, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, -1]], [[6, 1]], [[6, 1]], [[6, -1]], [[6, -1]], [[6, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[6, -1]], [[6, -1]], [[6, 0]], [[6, 1]], [[6, 1]], [[-6, 0]], [[-6, 1]], [[-6, -1]], [[6, 0]], [[6, -1]], [[-6, 0]], [[6, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-6, 1]], [[-6, -1]], [[0, 0]], [[-6, -1]], [[-6, 1]], [[0, 0]], [[0, 0]], [[6, 1]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[6, 1]], [[3, -1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 1]], [[3, 0]], [[6, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430597
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 104, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24b1', 'nt': [108, 0], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[-12, 0]], [[-12, 0]], [[12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 1], [-6, -1]], [[-6, 2], [-6, -2]], [[-6, 4], [-6, -4]], [[-6, 2], [-6, -2]], [[-6, 4], [-6, -4]], [[-6, 1], [-6, -1]], [[4, 0], [4, 1], [-4, 2], [-4, -4]], [[4, 0], [-4, 1], [4, 2], [-4, 4]], [[4, 0], [4, 4], [4, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-4, 0], [2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[2, 0], [2, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[2, 0], [2, 4], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [4, 4], [4, -4]], [[-2, 0], [4, 4], [4, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-4, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [4, 4], [4, -4]], [[-4, 0], [-1, 4], [-1, -4]], [[1, 0], [-4, 1], [4, 2], [-4, 4]], [[1, 0], [4, 1], [-4, 2], [-4, -4]], [[0, 0]], [[2, 0], [-1, 4], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[2, 0], [-1, 4], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[-4, 0], [-1, 1], [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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 34430598
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 105, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24b2', 'nt': [108, 0], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[-12, 0]], [[-12, 0]], [[12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 2], [-6, -2]], [[-6, 4], [-6, -4]], [[-6, 1], [-6, -1]], [[-6, 4], [-6, -4]], [[-6, 1], [-6, -1]], [[-6, 2], [-6, -2]], [[4, 0], [-4, 1], [4, 2], [-4, 4]], [[4, 0], [4, 4], [4, -4]], [[4, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 0], [2, 4], [2, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[-4, 0], [2, 4], [2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [4, 4], [4, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 0], [2, 4], [2, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-2, 0], [4, 4], [4, -4]], [[-4, 0], [-1, 4], [-1, -4]], [[1, 0], [4, 1], [-4, 2], [-4, -4]], [[-4, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [4, 4], [4, -4]], [[1, 0], [-4, 1], [4, 2], [-4, 4]], [[0, 0]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[2, 0], [-1, 4], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[-4, 0], [1, 1], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 34430599
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 106, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24b3', 'nt': [108, 0], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[-12, 0]], [[-12, 0]], [[12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 4], [-6, -4]], [[-6, 1], [-6, -1]], [[-6, 2], [-6, -2]], [[-6, 1], [-6, -1]], [[-6, 2], [-6, -2]], [[-6, 4], [-6, -4]], [[4, 0], [4, 4], [4, -4]], [[4, 0], [4, 1], [-4, 2], [-4, -4]], [[4, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[-2, 0], [4, 4], [4, -4]], [[-4, 0], [-2, 1], [2, 2], [-2, 4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 0], [2, 4], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[-2, 0], [4, 4], [4, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 0], [2, 4], [2, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-2, 0], [-4, 1], [4, 2], [-4, 4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[-2, 0], [4, 1], [-4, 2], [-4, -4]], [[-4, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [-4, 1], [4, 2], [-4, 4]], [[-4, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [4, 1], [-4, 2], [-4, -4]], [[1, 0], [4, 4], [4, -4]], [[0, 0]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[2, 0], [-1, 4], [-1, -4]], [[-4, 0], [-1, 4], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 34430600
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 107, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24c1', 'nt': [108, 0], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0], [6, 4], [6, -4]], [[-6, 0], [6, 1], [-6, 2], [-6, -4]], [[-6, 0], [-6, 1], [6, 2], [-6, 4]], [[-6, 0], [6, 1], [-6, 2], [-6, -4]], [[-6, 0], [-6, 1], [6, 2], [-6, 4]], [[-6, 0], [6, 4], [6, -4]], [[8, 0], [4, 1], [-4, 2], [4, 4]], [[8, 0], [-4, 4], [-4, -4]], [[8, 0], [-4, 1], [4, 2], [4, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [-6, 1], [6, 2], [-2, 4], [4, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 0], [4, 1], [-4, 2], [6, 4], [2, -4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [-4, 4], [-6, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[-2, 0], [-2, 4], [-2, -4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[-2, 0], [-2, 4], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[2, 0], [2, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[-4, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [-2, 4], [-2, -4]], [[-4, 0], [-1, 4], [-1, -4]], [[-4, 0], [1, 1], [-1, 2], [1, 4]], [[3, 0]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430601
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 108, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24c2', 'nt': [108, 0], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0], [-6, 1], [6, 2], [-6, 4]], [[-6, 0], [6, 4], [6, -4]], [[-6, 0], [6, 1], [-6, 2], [-6, -4]], [[-6, 0], [6, 4], [6, -4]], [[-6, 0], [6, 1], [-6, 2], [-6, -4]], [[-6, 0], [-6, 1], [6, 2], [-6, 4]], [[8, 0], [-4, 1], [4, 2], [4, -4]], [[8, 0], [4, 1], [-4, 2], [4, 4]], [[8, 0], [-4, 4], [-4, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [-4, 4], [-6, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[-2, 0], [-6, 1], [6, 2], [-2, 4], [4, -4]], [[-2, 0], [-2, 4], [-2, -4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[-2, 0], [4, 1], [-4, 2], [6, 4], [2, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[-2, 0], [-2, 4], [-2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[2, 0], [2, 4], [2, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[-4, 0], [-1, 4], [-1, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[-4, 0], [1, 1], [-1, 2], [1, 4]], [[-4, 0], [-1, 1], [1, 2], [1, -4]], [[3, 0]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[1, 0], [-2, 4], [-2, -4]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430602
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 109, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [-1, -3, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 1, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24c3', 'nt': [108, 0], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0], [6, 1], [-6, 2], [-6, -4]], [[-6, 0], [-6, 1], [6, 2], [-6, 4]], [[-6, 0], [6, 4], [6, -4]], [[-6, 0], [-6, 1], [6, 2], [-6, 4]], [[-6, 0], [6, 4], [6, -4]], [[-6, 0], [6, 1], [-6, 2], [-6, -4]], [[8, 0], [-4, 4], [-4, -4]], [[8, 0], [-4, 1], [4, 2], [4, -4]], [[8, 0], [4, 1], [-4, 2], [4, 4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[2, 0], [2, 4], [2, -4]], [[-2, 0], [4, 1], [-4, 2], [6, 4], [2, -4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[4, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [-4, 4], [-6, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[-2, 0], [-2, 4], [-2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[-2, 1], [2, 2], [-4, 4], [-2, -4]], [[-2, 0], [-6, 1], [6, 2], [-2, 4], [4, -4]], [[2, 1], [-2, 2], [-2, 4], [-4, -4]], [[2, 0], [2, 4], [2, -4]], [[-4, 1], [4, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [2, -4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[-2, 0], [-2, 4], [-2, -4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[2, 0], [-2, 1], [2, 2], [-2, 4]], [[-2, 1], [2, 2], [2, 4], [4, -4]], [[2, 0], [2, 1], [-2, 2], [-2, -4]], [[1, 0], [-2, 4], [-2, -4]], [[-4, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [-2, 1], [2, 2], [2, -4]], [[-4, 0], [-1, 1], [1, 2], [1, -4]], [[-4, 0], [-1, 4], [-1, -4]], [[3, 0]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430604
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 110, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24d1', 'nt': [216, 0], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 1], [-6, 3], [-6, 4], [6, -4]], [[6, 0], [6, 1], [6, 3], [6, -4]], [[6, 0], [6, 3], [6, -2], [6, -1]], [[-6, 2], [-6, 3], [6, 4], [-6, -4]], [[6, 1], [6, 2], [-6, 3]], [[6, 0], [6, 2], [6, 3], [6, 4]], [[-4, 0], [-4, 4], [-4, -4]], [[-4, 0], [-4, 1], [4, 2], [4, -4]], [[-4, 0], [4, 1], [-4, 2], [4, 4]], [[-4, 1], [-2, 2], [-2, 4], [2, -4]], [[2, 0], [6, 3], [2, 4], [2, -4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[-2, 1], [-4, 2], [-4, 4], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [-2, -4]], [[2, 1], [-2, 2], [-2, 4], [2, -4]], [[-2, 1], [2, 2], [-4, 4], [4, -4]], [[-2, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[-2, 0], [2, 1], [-2, 2], [-4, 4]], [[-2, 0], [6, 2], [-2, 4], [4, -4]], [[-4, 1], [-2, 2], [-2, 4], [-4, -4]], [[4, 1], [2, 2], [2, 4], [4, -4]], [[-2, 0], [-2, 4], [-2, -4]], [[2, 1], [4, 2], [4, 4], [2, -4]], [[-4, 0], [-6, 3], [2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [-4, -4]], [[2, 1], [4, 2], [-2, 4], [2, -4]], [[-2, 0], [4, 1], [2, 2], [6, 4], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4], [-6, -4]], [[2, 0], [2, 1], [-2, 2], [6, 3], [-2, -4]], [[-2, 0], [-2, 1], [-4, 2], [2, -4]], [[-2, 0], [-6, 1], [-2, 4], [-2, -4]], [[2, 0], [-2, 1], [2, 2], [6, 3], [-2, 4]], [[-4, 0], [-2, 1], [2, 2], [-6, 3], [-2, 4]], [[4, 1], [2, 2], [2, 4], [-2, -4]], [[-4, 0], [2, 1], [-2, 2], [-6, 3], [-2, -4]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[3, -3]], [[1, 0], [1, 1], [2, 2], [3, 4], [2, -4]], [[1, 0], [-3, 1], [-2, 4], [-2, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4]], [[1, 0], [3, 2], [-2, 4], [1, -4]], [[1, 0], [-2, 1], [-1, 2], [2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4], [-3, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430605
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 111, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24d2', 'nt': [216, 6], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0], [6, 2], [6, 3], [6, 4]], [[-6, 2], [-6, 3], [6, 4], [-6, -4]], [[6, 1], [6, 2], [-6, 3]], [[6, 0], [6, 1], [6, 3], [6, -4]], [[6, 0], [6, 3], [6, -2], [6, -1]], [[-6, 1], [-6, 3], [-6, 4], [6, -4]], [[-4, 0], [-4, 4], [-4, -4]], [[-4, 0], [-4, 1], [4, 2], [4, -4]], [[-4, 0], [4, 1], [-4, 2], [4, 4]], [[2, 1], [4, 2], [4, 4], [2, -4]], [[-4, 0], [-6, 3], [2, 4], [2, -4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[4, 1], [2, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [4, -4]], [[2, 1], [-2, 2], [4, 4], [-4, -4]], [[-2, 1], [2, 2], [2, 4], [-2, -4]], [[4, 1], [2, 2], [2, 4], [4, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[-2, 0], [2, 1], [-2, 2], [2, 4], [-6, -4]], [[-2, 0], [-6, 1], [-2, 4], [-2, -4]], [[2, 1], [4, 2], [-2, 4], [2, -4]], [[-2, 1], [-4, 2], [2, 4], [-2, -4]], [[-2, 0], [-2, 4], [-2, -4]], [[-4, 1], [-2, 2], [-2, 4], [2, -4]], [[2, 0], [6, 3], [2, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [2, -4]], [[-4, 1], [-2, 2], [-2, 4], [-4, -4]], [[-2, 0], [-2, 1], [-4, 2], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [-4, 4]], [[-4, 0], [2, 1], [-2, 2], [-6, 3], [-2, -4]], [[-2, 0], [4, 1], [2, 2], [6, 4], [2, -4]], [[-2, 0], [6, 2], [-2, 4], [4, -4]], [[-4, 0], [-2, 1], [2, 2], [-6, 3], [-2, 4]], [[2, 0], [-2, 1], [2, 2], [6, 3], [-2, 4]], [[-2, 1], [-4, 2], [-4, 4], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [6, 3], [-2, -4]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[3, 3]], [[1, 0], [-2, 1], [-1, 2], [2, -4]], [[1, 0], [3, 2], [-2, 4], [1, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4], [-3, -4]], [[1, 0], [-3, 1], [-2, 4], [-2, -4]], [[1, 0], [1, 1], [2, 2], [3, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430606
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 112, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24d3', 'nt': [216, 0], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 2], [-6, 3], [6, 4], [-6, -4]], [[6, 0], [6, 3], [6, -2], [6, -1]], [[6, 0], [6, 2], [6, 3], [6, 4]], [[6, 1], [6, 2], [-6, 3]], [[-6, 1], [-6, 3], [-6, 4], [6, -4]], [[6, 0], [6, 1], [6, 3], [6, -4]], [[-4, 0], [-4, 1], [4, 2], [4, -4]], [[-4, 0], [4, 1], [-4, 2], [4, 4]], [[-4, 0], [-4, 4], [-4, -4]], [[2, 1], [-2, 2], [4, 4], [-4, -4]], [[2, 0], [2, 1], [-2, 2], [6, 3], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[-2, 1], [2, 2], [2, 4], [-2, -4]], [[4, 1], [2, 2], [2, 4], [4, -4]], [[-4, 1], [-2, 2], [-2, 4], [-4, -4]], [[-2, 1], [-4, 2], [2, 4], [-2, -4]], [[4, 1], [2, 2], [2, 4], [-2, -4]], [[-2, 0], [-2, 4], [-2, -4]], [[-2, 0], [-6, 1], [-2, 4], [-2, -4]], [[-2, 0], [-2, 1], [-4, 2], [2, -4]], [[2, 1], [4, 2], [4, 4], [2, -4]], [[-2, 1], [-4, 2], [-4, 4], [-2, -4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [2, -4]], [[-4, 0], [2, 1], [-2, 2], [-6, 3], [-2, -4]], [[2, 1], [4, 2], [-2, 4], [2, -4]], [[-4, 1], [-2, 2], [-2, 4], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [-4, 4]], [[-2, 0], [6, 2], [-2, 4], [4, -4]], [[2, 0], [-2, 1], [2, 2], [6, 3], [-2, 4]], [[-2, 0], [2, 1], [-2, 2], [2, 4], [-6, -4]], [[-2, 0], [4, 1], [2, 2], [6, 4], [2, -4]], [[2, 0], [6, 3], [2, 4], [2, -4]], [[-4, 0], [-6, 3], [2, 4], [2, -4]], [[-2, 1], [2, 2], [-4, 4], [4, -4]], [[-4, 0], [-2, 1], [2, 2], [-6, 3], [-2, 4]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[2, 0], [-1, 4], [-1, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[3, -3]], [[1, 0], [2, 1], [-2, 2], [-1, 4]], [[1, 0], [1, 1], [2, 2], [3, 4], [2, -4]], [[1, 0], [-3, 1], [-2, 4], [-2, -4]], [[1, 0], [-2, 1], [-1, 2], [2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4], [-3, -4]], [[1, 0], [3, 2], [-2, 4], [1, -4]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430607
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 113, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24d4', 'nt': [216, 6], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0], [6, 1], [6, 3], [6, -4]], [[6, 1], [6, 2], [-6, 3]], [[-6, 1], [-6, 3], [-6, 4], [6, -4]], [[6, 0], [6, 3], [6, -2], [6, -1]], [[6, 0], [6, 2], [6, 3], [6, 4]], [[-6, 2], [-6, 3], [6, 4], [-6, -4]], [[-4, 0], [-4, 1], [4, 2], [4, -4]], [[-4, 0], [4, 1], [-4, 2], [4, 4]], [[-4, 0], [-4, 4], [-4, -4]], [[2, 1], [-2, 2], [-2, 4], [2, -4]], [[-4, 0], [2, 1], [-2, 2], [-6, 3], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[-2, 1], [2, 2], [-4, 4], [4, -4]], [[-2, 1], [-4, 2], [2, 4], [-2, -4]], [[2, 1], [4, 2], [-2, 4], [2, -4]], [[4, 1], [2, 2], [2, 4], [4, -4]], [[-2, 1], [-4, 2], [-4, 4], [-2, -4]], [[-2, 0], [-2, 4], [-2, -4]], [[-2, 0], [6, 2], [-2, 4], [4, -4]], [[-2, 0], [4, 1], [2, 2], [6, 4], [2, -4]], [[-4, 1], [-2, 2], [-2, 4], [2, -4]], [[4, 1], [2, 2], [2, 4], [-2, -4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[2, 1], [-2, 2], [4, 4], [-4, -4]], [[2, 0], [2, 1], [-2, 2], [6, 3], [-2, -4]], [[-4, 1], [-2, 2], [-2, 4], [-4, -4]], [[2, 1], [4, 2], [4, 4], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4], [-6, -4]], [[-2, 0], [-6, 1], [-2, 4], [-2, -4]], [[-4, 0], [-2, 1], [2, 2], [-6, 3], [-2, 4]], [[-2, 0], [2, 1], [-2, 2], [-4, 4]], [[-2, 0], [-2, 1], [-4, 2], [2, -4]], [[-4, 0], [-6, 3], [2, 4], [2, -4]], [[2, 0], [6, 3], [2, 4], [2, -4]], [[-2, 1], [2, 2], [2, 4], [-2, -4]], [[2, 0], [-2, 1], [2, 2], [6, 3], [-2, 4]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[2, 0], [-1, 4], [-1, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[3, 3]], [[1, 0], [2, 1], [-2, 2], [2, 4], [-3, -4]], [[1, 0], [-2, 1], [-1, 2], [2, -4]], [[1, 0], [3, 2], [-2, 4], [1, -4]], [[1, 0], [1, 1], [2, 2], [3, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4]], [[1, 0], [-3, 1], [-2, 4], [-2, -4]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430608
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 114, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24d5', 'nt': [216, 0], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0], [6, 3], [6, -2], [6, -1]], [[-6, 1], [-6, 3], [-6, 4], [6, -4]], [[-6, 2], [-6, 3], [6, 4], [-6, -4]], [[6, 0], [6, 2], [6, 3], [6, 4]], [[6, 0], [6, 1], [6, 3], [6, -4]], [[6, 1], [6, 2], [-6, 3]], [[-4, 0], [4, 1], [-4, 2], [4, 4]], [[-4, 0], [-4, 4], [-4, -4]], [[-4, 0], [-4, 1], [4, 2], [4, -4]], [[-4, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 0], [-2, 1], [2, 2], [-6, 3], [-2, 4]], [[-2, 0], [-2, 4], [-2, -4]], [[-2, 1], [-4, 2], [2, 4], [-2, -4]], [[4, 1], [2, 2], [2, 4], [-2, -4]], [[-4, 1], [-2, 2], [-2, 4], [2, -4]], [[-2, 1], [-4, 2], [-4, 4], [-2, -4]], [[-2, 1], [2, 2], [2, 4], [-2, -4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[-2, 0], [-2, 1], [-4, 2], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [-4, 4]], [[2, 1], [-2, 2], [4, 4], [-4, -4]], [[-2, 1], [2, 2], [-4, 4], [4, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[2, 1], [4, 2], [-2, 4], [2, -4]], [[2, 0], [-2, 1], [2, 2], [6, 3], [-2, 4]], [[2, 1], [4, 2], [4, 4], [2, -4]], [[2, 1], [-2, 2], [-2, 4], [2, -4]], [[-2, 0], [6, 2], [-2, 4], [4, -4]], [[-2, 0], [4, 1], [2, 2], [6, 4], [2, -4]], [[-4, 0], [-6, 3], [2, 4], [2, -4]], [[-2, 0], [-6, 1], [-2, 4], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4], [-6, -4]], [[-4, 0], [2, 1], [-2, 2], [-6, 3], [-2, -4]], [[2, 0], [2, 1], [-2, 2], [6, 3], [-2, -4]], [[4, 1], [2, 2], [2, 4], [4, -4]], [[2, 0], [6, 3], [2, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[3, 3]], [[1, 0], [3, 2], [-2, 4], [1, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4], [-3, -4]], [[1, 0], [-2, 1], [-1, 2], [2, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4]], [[1, 0], [-3, 1], [-2, 4], [-2, -4]], [[1, 0], [1, 1], [2, 2], [3, 4], [2, -4]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[3, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 34430609
    {'center': '17496.a1.a1', 'center_index': 17496, 'center_order': 1, 'counter': 115, 'cyclotomic_n': 9, 'dim': 24, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '17496.dd', 'group_counter': 82, 'group_order': 17496, 'image': None, 'image_isoclass': '17496.dd', 'image_order': 17496, 'indicator': 0, 'kernel': '17496.a1.a1', 'kernel_order': 1, 'label': '17496.dd.24d6', 'nt': [216, 6], 'q_character': None, 'values': [[[24, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 1], [6, 2], [-6, 3]], [[6, 0], [6, 2], [6, 3], [6, 4]], [[6, 0], [6, 1], [6, 3], [6, -4]], [[-6, 1], [-6, 3], [-6, 4], [6, -4]], [[-6, 2], [-6, 3], [6, 4], [-6, -4]], [[6, 0], [6, 3], [6, -2], [6, -1]], [[-4, 0], [4, 1], [-4, 2], [4, 4]], [[-4, 0], [-4, 4], [-4, -4]], [[-4, 0], [-4, 1], [4, 2], [4, -4]], [[2, 1], [4, 2], [-2, 4], [2, -4]], [[2, 0], [-2, 1], [2, 2], [6, 3], [-2, 4]], [[-2, 0], [-2, 4], [-2, -4]], [[4, 1], [2, 2], [2, 4], [4, -4]], [[-2, 1], [-4, 2], [-4, 4], [-2, -4]], [[2, 1], [4, 2], [4, 4], [2, -4]], [[4, 1], [2, 2], [2, 4], [-2, -4]], [[-2, 1], [2, 2], [-4, 4], [4, -4]], [[-2, 0], [-2, 1], [2, 2], [2, -4]], [[-2, 0], [4, 1], [2, 2], [6, 4], [2, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4], [-6, -4]], [[2, 1], [-2, 2], [-2, 4], [2, -4]], [[-2, 1], [2, 2], [2, 4], [-2, -4]], [[-2, 0], [2, 1], [-2, 2], [2, 4]], [[-4, 1], [-2, 2], [-2, 4], [-4, -4]], [[-4, 0], [-2, 1], [2, 2], [-6, 3], [-2, 4]], [[-4, 1], [-2, 2], [-2, 4], [2, -4]], [[2, 1], [-2, 2], [4, 4], [-4, -4]], [[-2, 0], [-6, 1], [-2, 4], [-2, -4]], [[-2, 0], [-2, 1], [-4, 2], [2, -4]], [[2, 0], [6, 3], [2, 4], [2, -4]], [[-2, 0], [6, 2], [-2, 4], [4, -4]], [[-2, 0], [2, 1], [-2, 2], [-4, 4]], [[2, 0], [2, 1], [-2, 2], [6, 3], [-2, -4]], [[-4, 0], [2, 1], [-2, 2], [-6, 3], [-2, -4]], [[-2, 1], [-4, 2], [2, 4], [-2, -4]], [[-4, 0], [-6, 3], [2, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4], [-3, -4]], [[2, 0], [-1, 1], [1, 2], [1, -4]], [[1, 0], [-3, 1], [3, 2], [-2, 4], [1, -4]], [[2, 0], [-1, 4], [-1, -4]], [[2, 0], [1, 1], [-1, 2], [1, 4]], [[3, -3]], [[1, 0], [-3, 1], [-2, 4], [-2, -4]], [[1, 0], [2, 1], [-2, 2], [-1, 4]], [[1, 0], [1, 1], [2, 2], [3, 4], [2, -4]], [[1, 0], [2, 1], [-2, 2], [2, 4], [-3, -4]], [[1, 0], [3, 2], [-2, 4], [1, -4]], [[1, 0], [-2, 1], [-1, 2], [2, -4]], [[1, 0], [1, 1], [-1, 2], [3, 4], [2, -4]], [[3, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 157282881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 17496, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '17496.dd.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '17496.dd', 'subgroup_hash': 4542207615025139725, 'subgroup_order': 17496, 'subgroup_tex': 'C_9^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 157282992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 8748, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '17496.dd.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8748.gl', 'subgroup_hash': 3195662095143027500, 'subgroup_order': 8748, 'subgroup_tex': 'C_9^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 157283023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 2916, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5832.ng', 'subgroup_hash': 1410697864671778812, 'subgroup_order': 5832, 'subgroup_tex': 'C_9^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 157283034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 729, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.4.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '4374.ia', 'subgroup_hash': 1196972687240771770, 'subgroup_order': 4374, 'subgroup_tex': 'C_9\\wr S_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283045
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 2916, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '17496.dd.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': '6.1', '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': ['D2', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2916.la', 'subgroup_hash': 3012883741880792957, 'subgroup_order': 2916, 'subgroup_tex': 'C_9:D_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283056
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 729, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2916.kx', 'subgroup_hash': 8409953225383044821, 'subgroup_order': 2916, 'subgroup_tex': 'C_9\\times D_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283067
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 729, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2916.le', 'subgroup_hash': 4519024526245395029, 'subgroup_order': 2916, 'subgroup_tex': 'C_9^3:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 157283078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 729, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '17496.dd.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.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': 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': '2187.366', 'subgroup_hash': 6462495309787268203, 'subgroup_order': 2187, 'subgroup_tex': 'C_9\\wr C_3', 'supersolvable': True, 'sylow': 3}
  • id: 157283089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '1944.2317', 'subgroup_hash': 2317, 'subgroup_order': 1944, 'subgroup_tex': 'D_9^2:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 157282882
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 729, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 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': '1458.673', 'subgroup_hash': 673, 'subgroup_order': 1458, 'subgroup_tex': 'D_9\\times C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1371', 'subgroup_hash': 1371, 'subgroup_order': 1458, 'subgroup_tex': '(C_3\\times C_9^2):S_3', 'supersolvable': True, 'sylow': 0}
  • id: 157282904
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 729, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.671', 'subgroup_hash': 671, 'subgroup_order': 1458, 'subgroup_tex': 'C_9^2:C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282915
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.419', 'subgroup_hash': 419, 'subgroup_order': 972, 'subgroup_tex': 'C_9^2:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 157282926
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.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': '972.418', 'subgroup_hash': 418, 'subgroup_order': 972, 'subgroup_tex': 'C_3\\times D_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282937
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.18.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '972.412', 'subgroup_hash': 412, 'subgroup_order': 972, 'subgroup_tex': '(C_3\\times C_9^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 157282948
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.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': '972.470', 'subgroup_hash': 470, 'subgroup_order': 972, 'subgroup_tex': 'C_3:D_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282959
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': True, 'core_order': 729, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '17496.dd.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': ['F', 'D3', 'C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '729.102', 'subgroup_hash': 102, 'subgroup_order': 729, 'subgroup_tex': 'C_9^3', 'supersolvable': True, 'sylow': 0}
  • id: 157282970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.397', 'subgroup_hash': 397, 'subgroup_order': 729, 'subgroup_tex': 'C_9^2.C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.80', 'subgroup_hash': 80, 'subgroup_order': 729, 'subgroup_tex': 'C_9^2.C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.27.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.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': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.544', 'subgroup_hash': 544, 'subgroup_order': 648, 'subgroup_tex': 'S_3^2:D_9', 'supersolvable': False, 'sylow': 0}
  • id: 157283004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.27.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.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': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.704', 'subgroup_hash': 704, 'subgroup_order': 648, 'subgroup_tex': 'C_3^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 157283015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.27.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.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': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.252', 'subgroup_hash': 252, 'subgroup_order': 648, 'subgroup_tex': 'D_9\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 157283016
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.36.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '486.92', 'subgroup_hash': 92, 'subgroup_order': 486, 'subgroup_tex': 'S_3\\times C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.36.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '486.125', 'subgroup_hash': 125, 'subgroup_order': 486, 'subgroup_tex': '(C_3^2\\times C_9):S_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283018
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.36.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '486.91', 'subgroup_hash': 91, 'subgroup_order': 486, 'subgroup_tex': 'C_9^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 157283019
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.36.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '486.91', 'subgroup_hash': 91, 'subgroup_order': 486, 'subgroup_tex': 'C_9^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 157283020
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.36.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '486.91', 'subgroup_hash': 91, 'subgroup_order': 486, 'subgroup_tex': 'C_9^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 157283021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.36.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, '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': '486.61', 'subgroup_hash': 61, 'subgroup_order': 486, 'subgroup_tex': 'C_9^2:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283022
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.36.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '486.133', 'subgroup_hash': 133, 'subgroup_order': 486, 'subgroup_tex': 'C_9^2:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283024
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.36.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '486.133', 'subgroup_hash': 133, 'subgroup_order': 486, 'subgroup_tex': 'C_9^2:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283025
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.36.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '486.134', 'subgroup_hash': 134, 'subgroup_order': 486, 'subgroup_tex': 'C_9^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 157283026
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.54.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '324.115', 'subgroup_hash': 115, 'subgroup_order': 324, 'subgroup_tex': 'C_9\\times S_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283027
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.54.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '324.61', 'subgroup_hash': 61, 'subgroup_order': 324, 'subgroup_tex': 'C_9\\times D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157283028
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.54.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '324.114', 'subgroup_hash': 114, 'subgroup_order': 324, 'subgroup_tex': 'C_3^2:D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157283029
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.54.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '324.36', 'subgroup_hash': 36, 'subgroup_order': 324, 'subgroup_tex': 'D_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283030
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.54.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '324.112', 'subgroup_hash': 112, 'subgroup_order': 324, 'subgroup_tex': '(C_3^2\\times C_9):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 157283031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.54.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '324.160', 'subgroup_hash': 160, 'subgroup_order': 324, 'subgroup_tex': 'C_3^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 157283032
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.54.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '324.123', 'subgroup_hash': 123, 'subgroup_order': 324, 'subgroup_tex': 'C_9:S_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283033
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.54.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '324.35', 'subgroup_hash': 35, 'subgroup_order': 324, 'subgroup_tex': 'C_9^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 157283035
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.54.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '324.36', 'subgroup_hash': 36, 'subgroup_order': 324, 'subgroup_tex': 'D_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.72.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.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': 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': '243.25', 'subgroup_hash': 25, 'subgroup_order': 243, 'subgroup_tex': 'C_9^2:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.72.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '243.26', 'subgroup_hash': 26, 'subgroup_order': 243, 'subgroup_tex': 'C_9^2:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.72.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '243.27', 'subgroup_hash': 27, 'subgroup_order': 243, 'subgroup_tex': 'C_9^2.C_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.72.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '243.55', 'subgroup_hash': 55, 'subgroup_order': 243, 'subgroup_tex': 'C_9.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283040
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 27, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.72.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '243.31', 'subgroup_hash': 31, 'subgroup_order': 243, 'subgroup_tex': 'C_3\\times C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.72.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '243.16', 'subgroup_hash': 16, 'subgroup_order': 243, 'subgroup_tex': 'C_3^3.C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283042
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 27, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.72.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '243.31', 'subgroup_hash': 31, 'subgroup_order': 243, 'subgroup_tex': 'C_3\\times C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283043
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 27, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.72.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '243.31', 'subgroup_hash': 31, 'subgroup_order': 243, 'subgroup_tex': 'C_3\\times C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.81.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '81.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': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '216.158', 'subgroup_hash': 158, 'subgroup_order': 216, 'subgroup_tex': 'S_3^2:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 157283046
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.23', 'subgroup_hash': 23, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157283047
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.33', 'subgroup_hash': 33, 'subgroup_order': 162, 'subgroup_tex': 'C_3^2:C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157283048
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.33', 'subgroup_hash': 33, 'subgroup_order': 162, 'subgroup_tex': 'C_3^2:C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157283049
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.33', 'subgroup_hash': 33, 'subgroup_order': 162, 'subgroup_tex': 'C_3^2:C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157283050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.44', 'subgroup_hash': 44, 'subgroup_order': 162, 'subgroup_tex': '\\He_3.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 157283051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.12', 'subgroup_hash': 12, 'subgroup_order': 162, 'subgroup_tex': '\\He_3.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 157283052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.14', 'subgroup_hash': 14, 'subgroup_order': 162, 'subgroup_tex': '\\He_3.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 157283053
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.3', 'subgroup_hash': 3, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283054
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.3', 'subgroup_hash': 3, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283055
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.3', 'subgroup_hash': 3, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283057
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.3', 'subgroup_hash': 3, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283058
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.3', 'subgroup_hash': 3, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.10', 'subgroup_hash': 10, 'subgroup_order': 162, 'subgroup_tex': 'C_3\\wr S_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283060
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.32', 'subgroup_hash': 32, 'subgroup_order': 162, 'subgroup_tex': 'C_3^2\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283061
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.3', 'subgroup_hash': 3, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283062
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.3', 'subgroup_hash': 3, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283063
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.3', 'subgroup_hash': 3, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283064
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.3', 'subgroup_hash': 3, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283065
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.39', 'subgroup_hash': 39, 'subgroup_order': 162, 'subgroup_tex': 'C_3^2:C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157283066
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.3', 'subgroup_hash': 3, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283068
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.3', 'subgroup_hash': 3, 'subgroup_order': 162, 'subgroup_tex': 'C_9\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283069
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.38', 'subgroup_hash': 38, 'subgroup_order': 162, 'subgroup_tex': 'C_3^2:D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283070
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.38', 'subgroup_hash': 38, 'subgroup_order': 162, 'subgroup_tex': 'C_3^2:D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283071
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.108.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.16', 'subgroup_hash': 16, 'subgroup_order': 162, 'subgroup_tex': 'C_9:D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283072
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.162.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.24', 'subgroup_hash': 24, 'subgroup_order': 108, 'subgroup_tex': 'S_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157283073
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.162.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.38', 'subgroup_hash': 38, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times S_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283074
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.162.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.23', 'subgroup_hash': 23, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157283075
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.162.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.16', 'subgroup_hash': 16, 'subgroup_order': 108, 'subgroup_tex': 'S_3\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283076
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.162.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.37', 'subgroup_hash': 37, 'subgroup_order': 108, 'subgroup_tex': 'C_3^3:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 157283077
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.162.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.40', 'subgroup_hash': 40, 'subgroup_order': 108, 'subgroup_tex': 'C_3:S_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283079
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.162.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.16', 'subgroup_hash': 16, 'subgroup_order': 108, 'subgroup_tex': 'S_3\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.14', 'subgroup_hash': 14, 'subgroup_order': 81, 'subgroup_tex': 'C_9.C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.8', 'subgroup_hash': 8, 'subgroup_order': 81, 'subgroup_tex': 'C_3.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.9', 'subgroup_hash': 9, 'subgroup_order': 81, 'subgroup_tex': '\\He_3:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283083
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.2', 'subgroup_hash': 2, 'subgroup_order': 81, 'subgroup_tex': 'C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.6', 'subgroup_hash': 6, 'subgroup_order': 81, 'subgroup_tex': 'C_{27}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283085
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.2', 'subgroup_hash': 2, 'subgroup_order': 81, 'subgroup_tex': 'C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283086
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.2', 'subgroup_hash': 2, 'subgroup_order': 81, 'subgroup_tex': 'C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283087
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.2', 'subgroup_hash': 2, 'subgroup_order': 81, 'subgroup_tex': 'C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.10', 'subgroup_hash': 10, 'subgroup_order': 81, 'subgroup_tex': 'C_3.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283090
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.2', 'subgroup_hash': 2, 'subgroup_order': 81, 'subgroup_tex': 'C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283091
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': False, 'core_order': 1, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.2', 'subgroup_hash': 2, 'subgroup_order': 81, 'subgroup_tex': 'C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283092
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.2', 'subgroup_hash': 2, 'subgroup_order': 81, 'subgroup_tex': 'C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283093
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.2', 'subgroup_hash': 2, 'subgroup_order': 81, 'subgroup_tex': 'C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.7', 'subgroup_hash': 7, 'subgroup_order': 81, 'subgroup_tex': 'C_3\\wr C_3', 'supersolvable': True, 'sylow': 0}
  • id: 157283095
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 27, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.11', 'subgroup_hash': 11, 'subgroup_order': 81, 'subgroup_tex': 'C_3^2\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283096
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 27, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.11', 'subgroup_hash': 11, 'subgroup_order': 81, 'subgroup_tex': 'C_3^2\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283097
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 27, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.11', 'subgroup_hash': 11, 'subgroup_order': 81, 'subgroup_tex': 'C_3^2\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157283098
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.2', 'subgroup_hash': 2, 'subgroup_order': 81, 'subgroup_tex': 'C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157283099
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.2', 'subgroup_hash': 2, 'subgroup_order': 81, 'subgroup_tex': 'C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282883
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.216.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.2', 'subgroup_hash': 2, 'subgroup_order': 81, 'subgroup_tex': 'C_9^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.243.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '243.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': 243, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.8', 'subgroup_hash': 8, 'subgroup_order': 72, 'subgroup_tex': 'C_9:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 157282885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.243.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '243.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': 243, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.40', 'subgroup_hash': 40, 'subgroup_order': 72, 'subgroup_tex': '\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 157282886
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282887
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282888
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282889
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.4', 'subgroup_hash': 4, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282890
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.4', 'subgroup_hash': 4, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282891
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.4', 'subgroup_hash': 4, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282892
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.4', 'subgroup_hash': 4, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282894
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.4', 'subgroup_hash': 4, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282895
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.4', 'subgroup_hash': 4, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282896
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.12', 'subgroup_hash': 12, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282897
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.4', 'subgroup_hash': 4, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282898
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.4', 'subgroup_hash': 4, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.8', 'subgroup_hash': 8, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 157282900
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.3', 'subgroup_hash': 3, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282901
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.3', 'subgroup_hash': 3, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282902
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.3', 'subgroup_hash': 3, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282903
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.4', 'subgroup_hash': 4, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282905
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.4', 'subgroup_hash': 4, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282906
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.3', 'subgroup_hash': 3, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282907
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.3', 'subgroup_hash': 3, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282908
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.13', 'subgroup_hash': 13, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 157282909
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.3', 'subgroup_hash': 3, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282910
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.3', 'subgroup_hash': 3, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282911
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.7', 'subgroup_hash': 7, 'subgroup_order': 54, 'subgroup_tex': 'C_3:D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282912
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.324.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '324.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.7', 'subgroup_hash': 7, 'subgroup_order': 54, 'subgroup_tex': 'C_3:D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282913
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.486.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '486.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': 486, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.5', 'subgroup_hash': 5, 'subgroup_order': 36, 'subgroup_tex': 'C_2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282914
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.486.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '486.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': 486, 'quotient_simple': 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: 157282916
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.486.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '486.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': 486, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.10', 'subgroup_hash': 10, 'subgroup_order': 36, 'subgroup_tex': 'S_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282917
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.486.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '486.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': 486, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.4', 'subgroup_hash': 4, 'subgroup_order': 36, 'subgroup_tex': 'D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282918
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.486.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '486.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': 486, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.1', 'subgroup_hash': 1, 'subgroup_order': 36, 'subgroup_tex': 'C_9:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 157282919
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.486.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '486.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': 486, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.9', 'subgroup_hash': 9, 'subgroup_order': 36, 'subgroup_tex': 'C_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 157282920
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.486.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '486.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': 486, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.10', 'subgroup_hash': 10, 'subgroup_order': 36, 'subgroup_tex': 'S_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282921
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.486.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '486.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': 486, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.4', 'subgroup_hash': 4, 'subgroup_order': 36, 'subgroup_tex': 'D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282922
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': True, 'core_order': 27, 'counter': 136, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '17496.dd.648.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '648.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '648.704', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 704, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 648, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^3:S_4', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'S', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 157282923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.3', 'subgroup_hash': 3, 'subgroup_order': 27, 'subgroup_tex': '\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 157282924
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282925
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282927
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282928
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282929
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 157282931
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 1, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 157282933
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.648.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.1', 'subgroup_hash': 1, 'subgroup_order': 27, 'subgroup_tex': 'C_{27}', 'supersolvable': True, 'sylow': 0}
  • id: 157282934
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282935
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': False, 'core_order': 1, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282936
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282938
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282939
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282940
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282941
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282942
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282943
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282944
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.648.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.729.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '729.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': 729, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 157282946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.729.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '729.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': 729, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.12', 'subgroup_hash': 12, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 157282947
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 159, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.972.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282949
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 160, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.972.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282950
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 161, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.972.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282951
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 157282952
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 324, 'characteristic': False, 'core_order': 1, 'counter': 163, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.972.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282953
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 164, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.972.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282954
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 165, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.972.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282955
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.972.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282956
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': 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: 157282957
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': 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: 157282958
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': 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: 157282960
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': 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: 157282961
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.1', 'subgroup_hash': 1, 'subgroup_order': 18, 'subgroup_tex': 'D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282962
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 172, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.972.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 157282963
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': 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: 157282964
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': 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: 157282965
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.1', 'subgroup_hash': 1, 'subgroup_order': 18, 'subgroup_tex': 'D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282966
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.1', 'subgroup_hash': 1, 'subgroup_order': 18, 'subgroup_tex': 'D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282967
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.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': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.4', 'subgroup_hash': 4, 'subgroup_order': 18, 'subgroup_tex': 'C_3:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 157282968
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.1', 'subgroup_hash': 1, 'subgroup_order': 18, 'subgroup_tex': 'D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282969
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.972.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '972.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 972, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.1', 'subgroup_hash': 1, 'subgroup_order': 18, 'subgroup_tex': 'D_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282971
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.1458.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1458.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': 1458, 'quotient_simple': 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: 157282972
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.1458.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1458.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': 1458, 'quotient_simple': 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: 157282973
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.1458.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1458.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': 1458, 'quotient_simple': 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: 157282974
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.1458.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1458.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': 1458, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 157282975
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.1458.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1458.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': 1458, 'quotient_simple': 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: 157282976
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282977
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 1, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282978
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4374, 'characteristic': False, 'core_order': 1, 'counter': 187, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282979
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': False, 'core_order': 1, 'counter': 188, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282980
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': False, 'core_order': 1, 'counter': 189, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282982
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 190, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282983
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 1, 'counter': 191, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282984
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': False, 'core_order': 1, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282985
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2916, 'characteristic': False, 'core_order': 1, 'counter': 193, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282986
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': False, 'core_order': 1, 'counter': 194, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282987
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 195, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282988
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 157282989
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': False, 'core_order': 1, 'counter': 197, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282990
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': False, 'core_order': 1, 'counter': 198, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282991
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282994
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': False, 'core_order': 1, 'counter': 200, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.1944.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1944.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': 1944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 157282995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '17496.dd.2187.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2187.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': 2187, 'quotient_simple': 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': 2}
  • id: 157282996
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 202, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.2916.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2916.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': 2916, 'quotient_simple': 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: 157282997
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 324, 'characteristic': False, 'core_order': 1, 'counter': 203, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.2916.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2916.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': 2916, 'quotient_simple': 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: 157282998
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 204, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.2916.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2916.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': 2916, 'quotient_simple': 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: 157282999
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.2916.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2916.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': 2916, 'quotient_simple': 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: 157283000
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.2916.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2916.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': 2916, 'quotient_simple': 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: 157283001
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 207, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.2916.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2916.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': 2916, 'quotient_simple': 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: 157283002
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.2916.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2916.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': 2916, 'quotient_simple': 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: 157283003
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.2916.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2916.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': 2916, 'quotient_simple': 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: 157283005
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.4374.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4374.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': 4374, 'quotient_simple': 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: 157283006
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 211, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.4374.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4374.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': 4374, 'quotient_simple': 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: 157283007
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17496.dd.4374.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4374.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': 4374, 'quotient_simple': 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: 157283008
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4374, 'characteristic': False, 'core_order': 1, 'counter': 213, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.5832.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5832.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': 5832, '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: 157283009
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2916, 'characteristic': False, 'core_order': 1, 'counter': 214, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.5832.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5832.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': 5832, '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: 157283010
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': False, 'core_order': 1, 'counter': 215, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.5832.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5832.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': 5832, '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: 157283011
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 1, 'counter': 216, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.5832.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5832.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': 5832, '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: 157283012
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 324, 'characteristic': False, 'core_order': 1, 'counter': 217, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.8748.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8748.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': 8748, '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: 157283013
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 1, 'counter': 218, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17496.dd.8748.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8748.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': 8748, '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: 157283014
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17496.dd', 'ambient_counter': 82, 'ambient_order': 17496, 'ambient_tex': 'C_9^3:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 17496, 'characteristic': True, 'core_order': 1, 'counter': 219, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '17496.dd.17496.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '17496.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '17496.dd', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4542207615025139725, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 17496, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_9^3:S_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'PC', 'U0', 'D4', 'C5'], '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: 157282981
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['72.e1.a1', '72.f1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2773, -1, 2344, -1, 7329, -1, 2789, -1], 'generators': [16982, 6120], 'label': '17496.dd.24.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '243.26'}
  • id: 157282982
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.c1.a1', '648.j1.a1', '648.p1.a1'], 'contains': ['5832.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2755, -1, 1553, -1, 7766, -1, 2146, -1], 'generators': [8736], 'label': '17496.dd.1944.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '1944.f1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.f1.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 157282983
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '648.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.h1.a1', '648.i1.a1', '648.j1.a1'], 'contains': ['5832.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 216, 'diagramx': [576, -1, 759, -1, 9137, -1, 903, -1], 'generators': [7022], 'label': '17496.dd.1944.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.a1.a1', 'old_label': '1944.g1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.g1.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 157282881
    {'ambient': '17496.dd', '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': '17496.a1.a1', 'complements': ['17496.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '3.a1.a1', '4.a1.a1', '27.b1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4674, 5000, 3075, 5000, 6632, 5000, 3545, 5000], 'generators': [1, 12312, 96, 16488, 5832, 2606, 2052, 72, 7776, 7566], 'label': '17496.dd.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '17496.dd', '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': '17496.dd'}
  • id: 157282882
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.b1.a1'], 'contains': ['24.a1.a1', '36.a1.a1', '36.c1.a1', '36.d1.a1', '36.e1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4533, -1, 4383, -1, 5747, -1, 4186, -1], 'generators': [16669, 3192, 5832, 4176, 7200, 1944, 12312], 'label': '17496.dd.12.a1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.a1.a1', 'projective_image': '17496.dd', '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': '36.4'}
  • id: 157282883
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.h1.a1', '108.p1.a1'], 'contains': ['648.s1.a1', '648.t1.a1', '648.u1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6046, -1, 6666, -1, 3795, -1, 6204, -1], 'generators': [672, 17064], 'label': '17496.dd.216.t1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '216.t1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.t1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282884
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '243.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8748.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.a1.a1'], 'contains': ['486.a1.a1', '486.e1.a1', '486.h1.a1', '729.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [9915, -1, 9900, -1, 239, -1, 9696, -1], 'generators': [1, 5832, 16092, 14022, 1944], 'label': '17496.dd.243.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.a1.a1', 'old_label': '243.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '243.a1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 157282885
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '243.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.c1.a1', '81.a1.a1'], 'contains': ['486.c1.a1', '486.f1.a1', '486.g1.a1', '2187.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [9411, -1, 9526, -1, 769, -1, 9167, -1], 'generators': [15553, 12312, 9612, 14022, 12384], 'label': '17496.dd.243.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.b1.a1', 'old_label': '243.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '243.b1.a1', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 157282886
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.a1.a1', '108.b1.a1'], 'contains': ['648.l1.a1', '972.a1.a1', '972.b1.a1', '972.c1.a1', '972.d1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [2512, -1, 2361, -1, 7067, -1, 2683, -1], 'generators': [16669, 8088, 5832, 6552], 'label': '17496.dd.324.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.a1.a1', 'old_label': '324.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282887
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.a1.a1', '108.c1.a1', '162.a1.a1'], 'contains': ['648.m1.a1', '972.d1.a1', '972.e1.a1', '972.f1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [5555, -1, 4098, -1, 5073, -1, 4719, -1], 'generators': [16669, 1944, 12384, 5832], 'label': '17496.dd.324.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '324.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282888
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.a1.a1', '108.d1.a1', '162.c1.a1'], 'contains': ['648.n1.a1', '972.d1.a1', '972.g1.a1', '972.h1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [3790, -1, 5456, -1, 4625, -1, 5374, -1], 'generators': [16669, 11256, 5832, 12384], 'label': '17496.dd.324.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '324.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282889
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.b1.a1', '108.e1.a1', '108.h1.a1'], 'contains': ['648.c1.a1', '972.a1.a1', '972.i1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [1713, -1, 1780, -1, 8432, -1, 1568, -1], 'generators': [16669, 8088, 648, 7200], 'label': '17496.dd.324.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1.a1', 'old_label': '324.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.d1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282890
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.b1.a1', '108.f1.a1', '108.i1.a1'], 'contains': ['648.e1.a1', '972.b1.a1', '972.i1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [1461, -1, 2032, -1, 7777, -1, 2223, -1], 'generators': [16669, 2256, 648, 7200], 'label': '17496.dd.324.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1.a1', 'old_label': '324.e1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.e1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282891
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.b1.a1', '108.g1.a1', '108.j1.a1'], 'contains': ['648.f1.a1', '972.c1.a1', '972.i1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [1267, -1, 1417, -1, 8228, -1, 1772, -1], 'generators': [16669, 13920, 648, 7200], 'label': '17496.dd.324.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1.a1', 'old_label': '324.f1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.f1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282892
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.e1.a1'], 'contains': ['648.i1.a1', '972.a1.a1', '972.j1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 324, 'diagramx': [85, -1, 85, -1, 9912, -1, 88, -1], 'generators': [16669, 8088, 6552, 3902], 'label': '17496.dd.324.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '324.g1.a1', 'old_label': '324.g1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.g1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282893
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['24.b1.a1', '36.b1.a1', '36.c1.a1', '36.f1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1346, -1, 1887, -1, 8192, -1, 1797, -1], 'generators': [16669, 648, 15216, 5832, 6552, 3902, 12672], 'label': '17496.dd.12.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '486.36'}
  • id: 157282894
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.c1.a1', '108.k1.a1', '162.a1.a1'], 'contains': ['648.m1.a1', '972.e1.a1', '972.k1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5826, -1, 4929, -1, 4849, -1, 5149, -1], 'generators': [16669, 1944, 5832, 7200], 'label': '17496.dd.324.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '324.h1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.h1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282895
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.c1.a1', '108.l1.a1'], 'contains': ['648.o1.a1', '972.f1.a1', '972.k1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4975, -1, 3882, -1, 6223, -1, 3776, -1], 'generators': [16669, 14328, 5832, 7200], 'label': '17496.dd.324.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1.a1', 'old_label': '324.i1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.i1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282896
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.b1.a1', '108.c1.a1', '108.d1.a1', '108.m1.a1', '108.n1.a1', '162.b1.a1'], 'contains': ['648.a1.a1', '972.d1.a1', '972.i1.a1', '972.k1.a1', '972.l1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4075, -1, 4441, -1, 6003, -1, 3995, -1], 'generators': [16669, 12312, 5832, 7200], 'label': '17496.dd.324.j1.a1', 'mobius_quo': None, 'mobius_sub': -18, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '324.j1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.j1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 157282897
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.d1.a1', '108.o1.a1', '162.d1.a1'], 'contains': ['648.s1.a1', '972.g1.a1', '972.l1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [6582, -1, 7054, -1, 3631, -1, 6368, -1], 'generators': [16669, 11256, 12312, 7200], 'label': '17496.dd.324.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '324.k1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 157282898
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.d1.a1', '108.p1.a1'], 'contains': ['648.u1.a1', '972.h1.a1', '972.l1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4615, -1, 5729, -1, 4165, -1, 5834, -1], 'generators': [16669, 17088, 12312, 7200], 'label': '17496.dd.324.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1.a1', 'old_label': '324.l1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.l1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282899
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.e1.a1', '108.f1.a1', '108.g1.a1', '108.m1.a1'], 'contains': ['648.b1.a1', '972.i1.a1', '972.j1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [595, -1, 597, -1, 9555, -1, 445, -1], 'generators': [16669, 3902, 648, 6552], 'label': '17496.dd.324.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.b1.a1', 'old_label': '324.m1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.m1.a1', 'subgroup_fusion': None, 'weyl_group': '54.5'}
  • id: 157282900
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.h1.a1', '108.i1.a1', '108.j1.a1', '108.n1.a1'], 'contains': ['648.d1.a1', '972.i1.a1', '972.m1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2075, -1, 3131, -1, 6841, -1, 3157, -1], 'generators': [16669, 6480, 8232, 7200], 'label': '17496.dd.324.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '324.n1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.n1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157282901
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.k1.a1', '108.l1.a1', '108.n1.a1', '162.c1.a1'], 'contains': ['648.n1.a1', '972.k1.a1', '972.m1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5283, -1, 5126, -1, 5299, -1, 4945, -1], 'generators': [16669, 5832, 15432, 7200], 'label': '17496.dd.324.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '324.o1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.o1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157282902
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.n1.a1', '108.o1.a1', '108.p1.a1', '162.d1.a1'], 'contains': ['648.s1.a1', '972.l1.a1', '972.m1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6023, -1, 6856, -1, 3960, -1, 6039, -1], 'generators': [16669, 12312, 15432, 7200], 'label': '17496.dd.324.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '324.p1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.p1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 157282903
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.q1.a1', '108.r1.a1', '108.s1.a1', '162.a1.a1'], 'contains': ['648.m1.a1', '972.n1.a1', '972.o1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 162, 'diagramx': [7250, -1, 6293, -1, 2812, -1, 7320, -1], 'generators': [8814, 13608, 5832, 7200], 'label': '17496.dd.324.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.a1.a1', 'old_label': '324.q1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.q1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282904
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '36.g1.a1', '36.h1.a1', '36.i1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7846, -1, 7461, -1, 2501, -1, 7530, -1], 'generators': [8814, 72, 16488, 1944, 12312, 5832, 96], 'label': '17496.dd.12.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '17496.dd', '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': '648.252'}
  • id: 157282905
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.s1.a1', '108.t1.a1', '108.u1.a1', '162.g1.a1'], 'contains': ['648.r1.a1', '972.n1.a1', '972.p1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 162, 'diagramx': [9006, -1, 8667, -1, 1371, -1, 8629, -1], 'generators': [8814, 7776, 5832, 72], 'label': '17496.dd.324.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.g1.a1', 'old_label': '324.r1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.r1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 157282906
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.q1.a1', '108.w1.a1', '162.c1.a1'], 'contains': ['648.n1.a1', '972.o1.a1', '972.t1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [6386, -1, 5983, -1, 3220, -1, 6707, -1], 'generators': [4662, 5832, 3192, 7200], 'label': '17496.dd.324.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '324.s1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.s1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157282907
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.r1.a1', '108.w1.a1'], 'contains': ['648.q1.a1', '972.o1.a1', '972.u1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [6779, -1, 6490, -1, 3426, -1, 6913, -1], 'generators': [4662, 5832, 8376, 7200], 'label': '17496.dd.324.t1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.r1.a1', 'old_label': '324.t1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.t1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157282908
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.s1.a1', '108.v1.a1', '108.w1.a1', '162.b1.a1', '162.e1.a1', '162.f1.a1'], 'contains': ['648.a1.a1', '972.o1.a1', '972.p1.a1', '972.s1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [8657, -1, 8885, -1, 1942, -1, 8056, -1], 'generators': [8814, 5832, 72, 12312], 'label': '17496.dd.324.u1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1.a1', 'old_label': '324.u1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.u1.a1', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 157282909
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.u1.a1', '108.v1.a1', '162.g1.a1'], 'contains': ['648.r1.a1', '972.p1.a1', '972.q1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [8383, -1, 8470, -1, 1166, -1, 8834, -1], 'generators': [8838, 5832, 24, 72], 'label': '17496.dd.324.v1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.i1.a1', 'old_label': '324.v1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.v1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 157282910
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.t1.a1', '108.v1.a1'], 'contains': ['648.t1.a1', '972.p1.a1', '972.r1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [7909, -1, 8103, -1, 1575, -1, 8285, -1], 'generators': [8838, 5832, 12336, 72], 'label': '17496.dd.324.w1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.t1.a1', 'old_label': '324.w1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.w1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157282911
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.v1.a1', '108.x1.a1', '162.g1.a1'], 'contains': ['648.r1.a1', '972.q1.a1', '972.r1.a1', '972.s1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [8842, -1, 9073, -1, 1748, -1, 8458, -1], 'generators': [8838, 24, 12312, 72], 'label': '17496.dd.324.x1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.d1.a1', 'old_label': '324.x1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.x1.a1', 'subgroup_fusion': None, 'weyl_group': '108.16'}
  • id: 157282912
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '324.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.w1.a1', '108.x1.a1', '162.d1.a1'], 'contains': ['648.s1.a1', '972.s1.a1', '972.t1.a1', '972.u1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [7524, -1, 7550, -1, 2260, -1, 7739, -1], 'generators': [4662, 3192, 12312, 7200], 'label': '17496.dd.324.y1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '324.y1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.y1.a1', 'subgroup_fusion': None, 'weyl_group': '108.16'}
  • id: 157282913
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '486.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '486.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['162.a1.a1', '243.a1.a1'], 'contains': ['972.e1.a1', '972.n1.a1', '1458.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [8978, -1, 8572, -1, 940, -1, 9060, -1], 'generators': [7405, 8814, 13608, 5832], 'label': '17496.dd.486.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.a1.a1', 'old_label': '486.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282914
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '486.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['162.a1.a1', '162.b1.a1', '162.c1.a1'], 'contains': ['972.d1.a1', '972.k1.a1', '972.o1.a1', '1458.a1.a1', '1458.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 162, 'diagramx': [7383, -1, 7352, -1, 3015, -1, 7117, -1], 'generators': [12661, 8814, 5832, 7200], 'label': '17496.dd.486.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.a1.a1', 'old_label': '486.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282915
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1'], 'contains': ['36.a1.a1', '36.d1.a1', '36.g1.a1', '54.a1.a1', '54.b1.a1', '54.c1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [6617, -1, 6094, -1, 3638, -1, 6377, -1], 'generators': [7405, 12312, 15432, 4662, 7200, 1944, 5832], 'label': '17496.dd.18.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '108.16'}
  • id: 157282916
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '486.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['162.b1.a1', '162.d1.a1', '243.b1.a1'], 'contains': ['972.l1.a1', '972.s1.a1', '1458.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [7978, -1, 8339, -1, 2129, -1, 7870, -1], 'generators': [421, 13998, 7200, 12312], 'label': '17496.dd.486.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1.a1', 'old_label': '486.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.c1.a1', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 157282917
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '486.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['162.c1.a1', '162.d1.a1'], 'contains': ['972.g1.a1', '972.m1.a1', '972.t1.a1', '1458.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [6422, -1, 6416, -1, 2644, -1, 6537, -1], 'generators': [12661, 4662, 8232, 7200], 'label': '17496.dd.486.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '486.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.d1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157282918
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '486.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8748.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.e1.a1', '243.a1.a1'], 'contains': ['972.n1.a1', '1458.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [9815, -1, 9805, -1, 56, -1, 9944, -1], 'generators': [1, 14022, 1944, 5832], 'label': '17496.dd.486.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.a1.a1', 'old_label': '486.e1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.e1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 157282919
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '486.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.h1.a1', '162.e1.a1', '243.b1.a1'], 'contains': ['972.s1.a1', '4374.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [9357, -1, 9594, -1, 412, -1, 9588, -1], 'generators': [1, 14022, 12384, 12312], 'label': '17496.dd.486.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.b1.a1', 'old_label': '486.f1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.f1.a1', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 157282920
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '486.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['162.f1.a1', '162.g1.a1', '243.b1.a1'], 'contains': ['972.p1.a1', '972.s1.a1', '1458.e1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [9210, -1, 9318, -1, 757, -1, 9243, -1], 'generators': [12774, 6588, 72, 12312], 'label': '17496.dd.486.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.b1.a1', 'old_label': '486.g1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.g1.a1', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 157282921
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '486.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8748.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['162.g1.a1', '243.a1.a1'], 'contains': ['972.n1.a1', '972.q1.a1', '1458.e1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [9510, -1, 9441, -1, 629, -1, 9371, -1], 'generators': [12798, 1404, 24, 72], 'label': '17496.dd.486.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.a1.a1', 'old_label': '486.h1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.h1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 157282922
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['216.n1.a1', '216.o1.a1', '216.p1.a1', '216.q1.a1', '324.j1.a1', '324.u1.a1'], 'contains': ['1944.a1.a1', '1944.h1.a1', '1944.l1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4060, 5000, 4374, 5000, 6065, 5000, 3937, 5000], 'generators': [72, 12312, 5832], 'label': '17496.dd.648.a1.a1', 'mobius_quo': -1, 'mobius_sub': 324, 'normal_closure': '648.a1.a1', 'normal_contained_in': ['24.a1.a1'], 'normal_contains': ['17496.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '648.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': '24.12', 'quotient_action_kernel': '27.5', 'quotient_action_kernel_order': 27, 'quotient_fusion': None, 'short_label': '648.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 157282923
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.a1.a1', '216.b1.a1', '216.c1.a1', '216.n1.a1', '324.m1.a1'], 'contains': ['1944.a1.a1', '1944.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [870, -1, 711, -1, 9178, -1, 822, -1], 'generators': [6446, 648], 'label': '17496.dd.648.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.b1.a1', 'old_label': '648.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.b1.a1', 'subgroup_fusion': None, 'weyl_group': '54.5'}
  • id: 157282924
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.a1.a1', '216.d1.a1', '216.e1.a1', '216.o1.a1', '324.d1.a1'], 'contains': ['1944.a1.a1', '1944.c1.a1', '1944.f1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2484, -1, 1466, -1, 8397, -1, 1696, -1], 'generators': [9384, 648], 'label': '17496.dd.648.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '648.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282925
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.d1.a1', '216.f1.a1', '216.g1.a1', '216.q1.a1', '324.n1.a1'], 'contains': ['1944.a1.a1', '1944.m1.a1', '1944.p1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2680, -1, 2937, -1, 6919, -1, 3246, -1], 'generators': [3192, 6480], 'label': '17496.dd.648.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '648.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282926
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '9.a1.a1'], 'contains': ['36.e1.a1', '36.i1.a1', '54.c1.a1', '54.d1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7700, -1, 7751, -1, 2746, -1, 7241, -1], 'generators': [7405, 7200, 16488, 8838, 12312, 5832, 8232], 'label': '17496.dd.18.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '18.b1.a1', 'projective_image': '17496.dd', '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': '648.252'}
  • id: 157282927
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.b1.a1', '216.f1.a1', '216.o1.a1', '324.e1.a1'], 'contains': ['1944.a1.a1', '1944.d1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1942, -1, 1877, -1, 7651, -1, 2443, -1], 'generators': [3552, 648], 'label': '17496.dd.648.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '648.e1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.e1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282928
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.c1.a1', '216.g1.a1', '216.h1.a1', '216.i1.a1', '216.o1.a1', '324.f1.a1'], 'contains': ['1944.a1.a1', '1944.e1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1114, -1, 1235, -1, 8060, -1, 1901, -1], 'generators': [15216, 648], 'label': '17496.dd.648.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '648.f1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.f1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282929
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.d1.a1', '216.f1.a1', '216.h1.a1', '216.q1.a1'], 'contains': ['1944.a1.a1', '1944.n1.a1', '1944.o1.a1', '1944.p1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2932, -1, 2740, -1, 7124, -1, 3041, -1], 'generators': [15504, 6480], 'label': '17496.dd.648.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1.a1', 'old_label': '648.g1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282930
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.a1.a1', '216.b1.a1', '216.i1.a1', '216.n1.a1'], 'contains': ['1944.a1.a1', '1944.g1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [697, -1, 836, -1, 9054, -1, 946, -1], 'generators': [6374, 648], 'label': '17496.dd.648.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.d1.a1', 'old_label': '648.h1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.h1.a1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 157282931
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '648.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.a1.a1', '324.g1.a1'], 'contains': ['1944.b1.a1', '1944.c1.a1', '1944.g1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [235, -1, 195, -1, 9677, -1, 323, -1], 'generators': [2654, 8088], 'label': '17496.dd.648.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.e1.a1', 'old_label': '648.i1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.i1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282932
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.a1.a1'], 'contains': ['1944.b1.a1', '1944.f1.a1', '1944.g1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 216, 'diagramx': [456, -1, 536, -1, 9506, -1, 494, -1], 'generators': [2654, 8736], 'label': '17496.dd.648.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.a1.a1', 'old_label': '648.j1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.j1.a1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 157282933
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '648.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.e1.a1'], 'contains': ['1944.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 216, 'diagramx': [2322, -1, 1071, -1, 8594, -1, 1386, -1], 'generators': [16982], 'label': '17496.dd.648.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.e1.a1', 'old_label': '648.k1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.k1.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 157282934
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.j1.a1', '216.k1.a1', '216.o1.a1', '324.a1.a1'], 'contains': ['1944.c1.a1', '1944.d1.a1', '1944.e1.a1', '1944.h1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3127, -1, 2486, -1, 6715, -1, 2837, -1], 'generators': [14568, 6480], 'label': '17496.dd.648.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '648.l1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.l1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282935
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.k1.a1', '216.l1.a1', '216.p1.a1', '324.b1.a1', '324.h1.a1', '324.q1.a1'], 'contains': ['1944.h1.a1', '1944.i1.a1', '1944.j1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5930, -1, 4698, -1, 4745, -1, 5256, -1], 'generators': [96, 6480], 'label': '17496.dd.648.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '648.m1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282936
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.k1.a1', '216.m1.a1', '216.q1.a1', '324.c1.a1', '324.o1.a1', '324.s1.a1'], 'contains': ['1944.h1.a1', '1944.m1.a1', '1944.n1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4828, -1, 5314, -1, 4950, -1, 5052, -1], 'generators': [8232, 5832], 'label': '17496.dd.648.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '648.n1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.n1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282937
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '18.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '9.a1.a1'], 'contains': ['36.i1.a1', '54.h1.a1', '162.e1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8873, -1, 8351, -1, 1669, -1, 8362, -1], 'generators': [1, 12384, 5832, 14022, 12312, 16584, 16416], 'label': '17496.dd.18.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.c1.a1', 'projective_image': '17496.dd', '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': '1944.2317'}
  • id: 157282938
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.j1.a1', '216.m1.a1', '216.p1.a1', '324.i1.a1'], 'contains': ['1944.h1.a1', '1944.j1.a1', '1944.k1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4468, -1, 3769, -1, 5901, -1, 4101, -1], 'generators': [5928, 6480], 'label': '17496.dd.648.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '648.o1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.o1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282939
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.j1.a1', '216.l1.a1', '216.m1.a1', '216.o1.a1'], 'contains': ['1944.d1.a1', '1944.e1.a1', '1944.f1.a1', '1944.h1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3324, -1, 3134, -1, 6510, -1, 3451, -1], 'generators': [15216, 6480], 'label': '17496.dd.648.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1.a1', 'old_label': '648.p1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.p1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282940
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.j1.a1', '216.l1.a1', '216.q1.a1', '324.t1.a1'], 'contains': ['1944.h1.a1', '1944.o1.a1', '1944.p1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4272, -1, 5006, -1, 5696, -1, 4305, -1], 'generators': [15360, 5832], 'label': '17496.dd.648.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '648.q1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.q1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283081
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.d1.a1', '108.f1.a1'], 'contains': ['648.b1.a1', '648.e1.a1', '648.h1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [494, -1, 471, -1, 9394, -1, 606, -1], 'generators': [2006, 3552], 'label': '17496.dd.216.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.b1.a1', 'old_label': '216.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.b1.a1', 'subgroup_fusion': None, 'weyl_group': '54.5'}
  • id: 157282941
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.p1.a1', '216.r1.a1', '216.s1.a1', '324.r1.a1', '324.v1.a1', '324.x1.a1'], 'contains': ['1944.i1.a1', '1944.k1.a1', '1944.l1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8214, -1, 7913, -1, 2514, -1, 7484, -1], 'generators': [24, 12312], 'label': '17496.dd.648.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1.a1', 'old_label': '648.r1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.r1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 157282942
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.q1.a1', '216.s1.a1', '216.t1.a1', '324.k1.a1', '324.p1.a1', '324.y1.a1'], 'contains': ['1944.l1.a1', '1944.m1.a1', '1944.o1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6748, -1, 7023, -1, 3626, -1, 6376, -1], 'generators': [8232, 12312], 'label': '17496.dd.648.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '648.s1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.s1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 157282943
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.p1.a1', '216.r1.a1', '216.t1.a1', '324.w1.a1'], 'contains': ['1944.j1.a1', '1944.k1.a1', '1944.l1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7579, -1, 7716, -1, 3421, -1, 6580, -1], 'generators': [5856, 12312], 'label': '17496.dd.648.t1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '648.t1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.t1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282944
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '648.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.q1.a1', '216.r1.a1', '216.t1.a1', '324.l1.a1'], 'contains': ['1944.l1.a1', '1944.n1.a1', '1944.p1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5079, -1, 5976, -1, 4168, -1, 5834, -1], 'generators': [14064, 12312], 'label': '17496.dd.648.u1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '648.u1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.u1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282945
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '729.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8748.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['81.a1.a1', '243.a1.a1'], 'contains': ['1458.a1.a1', '1458.c1.a1', '1458.e1.a1', '2187.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 729, 'diagramx': [9619, -1, 9915, -1, 251, -1, 9749, -1], 'generators': [3889, 8316, 14022, 5832], 'label': '17496.dd.729.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '729.a1.a1', 'old_label': '729.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '729.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 157282946
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '729.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.b1.a1'], 'contains': ['1458.d1.a1', '2187.a1.a1', '2916.e1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 729, 'diagramx': [3373, -1, 3465, -1, 6626, -1, 3315, -1], 'generators': [7705, 11702, 4566, 4860], 'label': '17496.dd.729.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '729.b1.a1', 'old_label': '729.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '729.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 157282947
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.a1.a1', '324.d1.a1', '324.g1.a1'], 'contains': ['1944.c1.a1', '2916.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [1797, -1, 1627, -1, 8228, -1, 1528, -1], 'generators': [16669, 8088, 6552], 'label': '17496.dd.972.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.a1.a1', 'old_label': '972.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282948
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '9.a1.a1'], 'contains': ['36.h1.a1', '36.i1.a1', '54.g1.a1', '54.i1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8516, -1, 8029, -1, 2210, -1, 7820, -1], 'generators': [8838, 72, 5832, 9612, 12312, 96, 16488], 'label': '17496.dd.18.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.d1.a1', 'projective_image': '17496.dd', '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': '1944.2317'}
  • id: 157282949
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.a1.a1', '324.e1.a1'], 'contains': ['1944.d1.a1', '2916.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [2227, -1, 2135, -1, 7350, -1, 2611, -1], 'generators': [16669, 2256, 6552], 'label': '17496.dd.972.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.a1.a1', 'old_label': '972.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282950
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.a1.a1', '324.f1.a1'], 'contains': ['1944.e1.a1', '2916.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [2044, -1, 1952, -1, 7482, -1, 2070, -1], 'generators': [16669, 13920, 6552], 'label': '17496.dd.972.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.a1.a1', 'old_label': '972.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282951
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.a1.a1', '324.b1.a1', '324.c1.a1', '324.j1.a1', '486.b1.a1'], 'contains': ['1944.h1.a1', '2916.a1.a1', '2916.b1.a1', '2916.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [4373, -1, 4344, -1, 5359, -1, 4642, -1], 'generators': [16669, 12384, 5832], 'label': '17496.dd.972.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '972.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282952
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '54.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.b1.a1', '324.h1.a1', '486.a1.a1'], 'contains': ['1944.i1.a1', '2916.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [6380, -1, 5311, -1, 4469, -1, 5533, -1], 'generators': [16669, 1944, 5832], 'label': '17496.dd.972.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '972.e1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282953
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.b1.a1', '324.i1.a1'], 'contains': ['1944.j1.a1', '2916.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [5357, -1, 3912, -1, 5528, -1, 4474, -1], 'generators': [16669, 14328, 5832], 'label': '17496.dd.972.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.a1.a1', 'old_label': '972.f1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282954
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.c1.a1', '324.k1.a1', '486.d1.a1'], 'contains': ['1944.m1.a1', '2916.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [5960, -1, 5836, -1, 3795, -1, 6207, -1], 'generators': [16669, 11256, 12384], 'label': '17496.dd.972.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '972.g1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282955
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.c1.a1', '324.l1.a1'], 'contains': ['1944.n1.a1', '2916.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [3773, -1, 5494, -1, 4336, -1, 5665, -1], 'generators': [16669, 17088, 12384], 'label': '17496.dd.972.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.a1.a1', 'old_label': '972.h1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.h1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282956
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.d1.a1', '324.e1.a1', '324.f1.a1', '324.j1.a1', '324.m1.a1', '324.n1.a1'], 'contains': ['1944.a1.a1', '2916.a1.a1', '2916.d1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [1635, -1, 2297, -1, 7855, -1, 2238, -1], 'generators': [16669, 6480, 7200], 'label': '17496.dd.972.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1.a1', 'old_label': '972.i1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.i1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282957
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.g1.a1', '324.m1.a1'], 'contains': ['1944.b1.a1', '2916.a1.a1', '2916.e1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 324, 'diagramx': [1055, -1, 411, -1, 9334, -1, 666, -1], 'generators': [16669, 6552, 3902], 'label': '17496.dd.972.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '324.g1.a1', 'old_label': '972.j1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.j1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282958
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.h1.a1', '324.i1.a1', '324.j1.a1', '324.o1.a1', '486.b1.a1'], 'contains': ['1944.h1.a1', '2916.b1.a1', '2916.d1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5144, -1, 4873, -1, 5155, -1, 4847, -1], 'generators': [16669, 5832, 7200], 'label': '17496.dd.972.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '972.k1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.k1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282959
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': ['729.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.c1.a1'], 'contains': ['72.e1.a1', '72.g1.a1', '72.h1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4407, 5000, 3853, 5000, 6060, 5000, 3863, 5000], 'generators': [24, 4176, 1944], 'label': '17496.dd.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': -12, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['6.a1.a1'], 'normal_contains': ['648.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': '24.12', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 157282960
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.j1.a1', '324.k1.a1', '324.l1.a1', '324.p1.a1', '486.c1.a1'], 'contains': ['1944.l1.a1', '2916.c1.a1', '2916.d1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5799, -1, 6609, -1, 3963, -1, 6039, -1], 'generators': [16669, 12312, 7200], 'label': '17496.dd.972.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '972.l1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.l1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 157282961
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.n1.a1', '324.o1.a1', '324.p1.a1', '486.d1.a1'], 'contains': ['1944.m1.a1', '2916.d1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5649, -1, 5721, -1, 4589, -1, 5413, -1], 'generators': [16669, 15432, 7200], 'label': '17496.dd.972.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '972.m1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.m1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157282962
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '486.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.q1.a1', '324.r1.a1', '486.a1.a1', '486.e1.a1', '486.h1.a1'], 'contains': ['1944.i1.a1', '2916.f1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [9106, -1, 8765, -1, 1110, -1, 8801, -1], 'generators': [8814, 13608, 5832], 'label': '17496.dd.972.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.a1.a1', 'old_label': '972.n1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.n1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282963
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.q1.a1', '324.s1.a1', '324.t1.a1', '324.u1.a1', '486.b1.a1'], 'contains': ['1944.h1.a1', '2916.f1.a1', '2916.h1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 162, 'diagramx': [7158, -1, 6917, -1, 3015, -1, 7147, -1], 'generators': [8814, 5832, 7200], 'label': '17496.dd.972.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.a1.a1', 'old_label': '972.o1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.o1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282964
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.r1.a1', '324.u1.a1', '324.v1.a1', '324.w1.a1', '486.g1.a1'], 'contains': ['1944.l1.a1', '2916.f1.a1', '2916.g1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 162, 'diagramx': [8340, -1, 8603, -1, 1592, -1, 8320, -1], 'generators': [8814, 5832, 72], 'label': '17496.dd.972.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.g1.a1', 'old_label': '972.p1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.p1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 157282965
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.v1.a1', '324.x1.a1', '486.h1.a1'], 'contains': ['1944.i1.a1', '2916.g1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [8626, -1, 8883, -1, 1435, -1, 8476, -1], 'generators': [8838, 24, 72], 'label': '17496.dd.972.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.i1.a1', 'old_label': '972.q1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.q1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157282966
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.w1.a1', '324.x1.a1'], 'contains': ['1944.k1.a1', '2916.g1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [8075, -1, 8450, -1, 1748, -1, 8163, -1], 'generators': [8838, 12336, 72], 'label': '17496.dd.972.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.t1.a1', 'old_label': '972.r1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.r1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157282967
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.u1.a1', '324.x1.a1', '324.y1.a1', '486.c1.a1', '486.f1.a1', '486.g1.a1'], 'contains': ['1944.l1.a1', '2916.g1.a1', '2916.h1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [8508, -1, 9049, -1, 1942, -1, 8040, -1], 'generators': [13998, 72, 12312], 'label': '17496.dd.972.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1.a1', 'old_label': '972.s1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.s1.a1', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 157282968
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.s1.a1', '324.y1.a1', '486.d1.a1'], 'contains': ['1944.m1.a1', '2916.h1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [6599, -1, 6190, -1, 2859, -1, 6737, -1], 'generators': [4662, 3192, 7200], 'label': '17496.dd.972.t1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '972.t1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.t1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157282969
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '972.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['324.t1.a1', '324.y1.a1'], 'contains': ['1944.o1.a1', '2916.h1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [6914, -1, 7123, -1, 3218, -1, 6883, -1], 'generators': [4662, 8376, 7200], 'label': '17496.dd.972.u1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.r1.a1', 'old_label': '972.u1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '972.u1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157282970
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.b1.a1'], 'contains': ['72.a1.a1', '72.b1.a1', '72.c1.a1', '72.d1.a1', '72.e1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1346, -1, 1715, -1, 8192, -1, 1797, -1], 'generators': [16934, 6120, 5832], 'label': '17496.dd.24.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '486.36'}
  • id: 157282971
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1458.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '486.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['486.a1.a1', '486.b1.a1', '729.a1.a1'], 'contains': ['2916.b1.a1', '2916.f1.a1', '4374.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [8745, -1, 8268, -1, 1279, -1, 8632, -1], 'generators': [7405, 8814, 5832], 'label': '17496.dd.1458.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.a1.a1', 'old_label': '1458.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1458.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282972
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1458.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['486.b1.a1', '486.c1.a1', '486.d1.a1'], 'contains': ['2916.c1.a1', '2916.d1.a1', '2916.h1.a1', '4374.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 162, 'diagramx': [6520, -1, 6958, -1, 2750, -1, 6991, -1], 'generators': [12661, 8814, 7200], 'label': '17496.dd.1458.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.a1.a1', 'old_label': '1458.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1458.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282973
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1458.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8748.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['162.e1.a1', '486.e1.a1', '729.a1.a1'], 'contains': ['2916.f1.a1', '4374.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 729, 'diagramx': [9672, -1, 9794, -1, 251, -1, 9749, -1], 'generators': [1, 14022, 5832], 'label': '17496.dd.1458.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '729.a1.a1', 'old_label': '1458.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1458.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 157282974
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1458.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.f1.a1', '729.b1.a1'], 'contains': ['4374.c1.a1', '5832.d1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 729, 'diagramx': [3529, -1, 3586, -1, 6354, -1, 3607, -1], 'generators': [8774, 12846, 16956], 'label': '17496.dd.1458.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '729.b1.a1', 'old_label': '1458.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1458.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 157282975
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1458.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8748.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['486.g1.a1', '486.h1.a1', '729.a1.a1'], 'contains': ['2916.f1.a1', '2916.g1.a1', '4374.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 729, 'diagramx': [9102, -1, 9352, -1, 873, -1, 9091, -1], 'generators': [12918, 1404, 72], 'label': '17496.dd.1458.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '729.a1.a1', 'old_label': '1458.e1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1458.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 157282976
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.a1.a1', '648.b1.a1', '648.c1.a1', '648.d1.a1', '648.e1.a1', '648.f1.a1', '648.g1.a1', '648.h1.a1', '972.i1.a1'], 'contains': ['5832.a1.a1', '5832.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2207, -1, 1913, -1, 7651, -1, 2370, -1], 'generators': [11736, 6480], 'label': '17496.dd.1944.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '648.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '1944.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282977
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '648.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.b1.a1', '648.i1.a1', '648.j1.a1', '972.j1.a1'], 'contains': ['5832.a1.a1', '5832.d1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [1068, -1, 536, -1, 9256, -1, 744, -1], 'generators': [6446, 6552], 'label': '17496.dd.1944.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.e1.a1', 'old_label': '1944.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157282978
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.c1.a1', '648.i1.a1', '648.k1.a1', '648.l1.a1', '972.a1.a1'], 'contains': ['5832.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2388, -1, 1097, -1, 8313, -1, 1612, -1], 'generators': [8088], 'label': '17496.dd.1944.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '1944.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282979
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.e1.a1', '648.l1.a1', '648.p1.a1', '972.b1.a1'], 'contains': ['5832.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2651, -1, 2534, -1, 7318, -1, 2611, -1], 'generators': [2904], 'label': '17496.dd.1944.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '1944.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282980
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.f1.a1', '648.l1.a1', '648.p1.a1', '972.c1.a1'], 'contains': ['5832.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2541, -1, 2394, -1, 7427, -1, 2486, -1], 'generators': [15216], 'label': '17496.dd.1944.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '1944.e1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282984
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.a1.a1', '648.l1.a1', '648.m1.a1', '648.n1.a1', '648.o1.a1', '648.p1.a1', '648.q1.a1', '972.d1.a1', '972.k1.a1', '972.o1.a1'], 'contains': ['5832.a1.a1', '5832.b1.a1', '5832.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4553, -1, 4564, -1, 5359, -1, 4642, -1], 'generators': [72, 6480], 'label': '17496.dd.1944.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '648.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '1944.h1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282985
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.m1.a1', '648.r1.a1', '972.e1.a1', '972.n1.a1', '972.q1.a1'], 'contains': ['5832.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8205, -1, 7664, -1, 2632, -1, 7277, -1], 'generators': [96], 'label': '17496.dd.1944.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '1944.i1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282986
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.m1.a1', '648.o1.a1', '648.t1.a1', '972.f1.a1'], 'contains': ['5832.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5412, -1, 4108, -1, 4914, -1, 5088, -1], 'generators': [744], 'label': '17496.dd.1944.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '1944.j1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.j1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282987
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.o1.a1', '648.r1.a1', '648.t1.a1', '972.r1.a1'], 'contains': ['5832.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7852, -1, 7558, -1, 3421, -1, 6580, -1], 'generators': [12408], 'label': '17496.dd.1944.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '1944.k1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282988
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.a1.a1', '648.r1.a1', '648.s1.a1', '648.t1.a1', '648.u1.a1', '972.l1.a1', '972.p1.a1', '972.s1.a1'], 'contains': ['5832.b1.a1', '5832.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7511, -1, 7203, -1, 3626, -1, 6376, -1], 'generators': [72, 12312], 'label': '17496.dd.1944.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '648.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '1944.l1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.l1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 157282989
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.d1.a1', '648.n1.a1', '648.s1.a1', '972.g1.a1', '972.m1.a1', '972.t1.a1'], 'contains': ['5832.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5936, -1, 5839, -1, 4372, -1, 5629, -1], 'generators': [8232], 'label': '17496.dd.1944.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '1944.m1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282990
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.g1.a1', '648.n1.a1', '648.u1.a1', '972.h1.a1'], 'contains': ['5832.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4060, -1, 5355, -1, 4697, -1, 5304, -1], 'generators': [14064], 'label': '17496.dd.1944.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '1944.n1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.n1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282991
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.g1.a1', '648.q1.a1', '648.s1.a1', '972.u1.a1'], 'contains': ['5832.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6095, -1, 6055, -1, 4481, -1, 5521, -1], 'generators': [15360], 'label': '17496.dd.1944.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '1944.o1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.o1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282992
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': ['8748.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '8.a1.a1', '54.f1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4756, 5000, 3020, 5000, 6689, 5000, 3603, 5000], 'generators': [6854, 5832, 11376, 3240, 12822, 96, 12312, 72, 5292], 'label': '17496.dd.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '17496.dd', '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': '17496.dd'}
  • id: 157282993
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '27.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['54.a1.a1', '54.e1.a1', '54.g1.a1', '81.a1.a1', '243.a1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [9467, -1, 9616, -1, 1369, -1, 8661, -1], 'generators': [1, 12312, 12384, 11556, 5832, 14022, 7776], 'label': '17496.dd.27.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1.a1', 'old_label': '27.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.a1.a1', 'subgroup_fusion': None, 'weyl_group': '648.544'}
  • id: 157282994
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '1944.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['648.d1.a1', '648.g1.a1', '648.q1.a1', '648.u1.a1'], 'contains': ['5832.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3786, -1, 3776, -1, 5696, -1, 4305, -1], 'generators': [3696], 'label': '17496.dd.1944.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1.a1', 'old_label': '1944.p1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944.p1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282995
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '2187.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8748.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['243.b1.a1', '729.a1.a1', '729.b1.a1'], 'contains': ['4374.a1.a1', '4374.b1.a1', '4374.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 2187, 'diagramx': [9499, -1, 9625, -1, 707, -1, 9413, -1], 'generators': [15553, 2484], 'label': '17496.dd.2187.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2187.a1.a1', 'old_label': '2187.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2187.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 157282996
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '2916.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['972.a1.a1', '972.b1.a1', '972.c1.a1', '972.d1.a1', '972.i1.a1', '972.j1.a1'], 'contains': ['5832.a1.a1', '8748.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [1707, -1, 2224, -1, 7535, -1, 2255, -1], 'generators': [16669, 6552], 'label': '17496.dd.2916.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.a1.a1', 'old_label': '2916.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2916.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282997
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '2916.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '54.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['972.d1.a1', '972.e1.a1', '972.f1.a1', '972.k1.a1', '1458.a1.a1'], 'contains': ['5832.b1.a1', '8748.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [5936, -1, 4845, -1, 4806, -1, 5196, -1], 'generators': [16669, 5832], 'label': '17496.dd.2916.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '2916.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2916.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157282998
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '2916.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['972.d1.a1', '972.g1.a1', '972.h1.a1', '972.l1.a1', '1458.b1.a1'], 'contains': ['5832.c1.a1', '8748.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [4807, -1, 5661, -1, 4264, -1, 5738, -1], 'generators': [16669, 12384], 'label': '17496.dd.2916.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '2916.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2916.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157282999
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '2916.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['972.i1.a1', '972.k1.a1', '972.l1.a1', '972.m1.a1', '1458.b1.a1'], 'contains': ['5832.c1.a1', '8748.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4703, -1, 5315, -1, 4589, -1, 5413, -1], 'generators': [16669, 7200], 'label': '17496.dd.2916.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '2916.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2916.d1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157283000
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '2916.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['729.b1.a1', '972.j1.a1'], 'contains': ['5832.d1.a1', '8748.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 324, 'diagramx': [1351, -1, 2003, -1, 7875, -1, 2038, -1], 'generators': [16669, 3902], 'label': '17496.dd.2916.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '324.g1.a1', 'old_label': '2916.e1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2916.e1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157283001
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '2916.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '486.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['972.n1.a1', '972.o1.a1', '972.p1.a1', '1458.a1.a1', '1458.c1.a1', '1458.e1.a1'], 'contains': ['5832.b1.a1', '8748.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [8717, -1, 8395, -1, 1298, -1, 8611, -1], 'generators': [8814, 5832], 'label': '17496.dd.2916.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.a1.a1', 'old_label': '2916.f1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2916.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283002
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '2916.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['972.p1.a1', '972.q1.a1', '972.r1.a1', '972.s1.a1', '1458.e1.a1'], 'contains': ['5832.b1.a1', '8748.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 162, 'diagramx': [8415, -1, 8823, -1, 1592, -1, 8320, -1], 'generators': [8814, 72], 'label': '17496.dd.2916.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.g1.a1', 'old_label': '2916.g1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2916.g1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157283082
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '72.b1.a1', '72.d1.a1', '108.g1.a1'], 'contains': ['648.b1.a1', '648.f1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [877, -1, 849, -1, 9242, -1, 758, -1], 'generators': [2006, 15216], 'label': '17496.dd.216.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.b1.a1', 'old_label': '216.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.c1.a1', 'subgroup_fusion': None, 'weyl_group': '162.21'}
  • id: 157283003
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '2916.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['972.o1.a1', '972.s1.a1', '972.t1.a1', '972.u1.a1', '1458.b1.a1'], 'contains': ['5832.c1.a1', '8748.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 162, 'diagramx': [6440, -1, 6878, -1, 2859, -1, 6991, -1], 'generators': [8814, 7200], 'label': '17496.dd.2916.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.a1.a1', 'old_label': '2916.h1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2916.h1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157283004
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '27.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['54.f1.a1', '81.a1.a1', '108.m1.a1', '729.b1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [4674, -1, 3223, -1, 6576, -1, 3490, -1], 'generators': [12241, 12312, 72, 12128, 5832, 4566, 4860], 'label': '17496.dd.27.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.b1.a1', 'old_label': '27.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.b1.a1', 'subgroup_fusion': None, 'weyl_group': '648.704'}
  • id: 157283005
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '4374.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '486.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1458.a1.a1', '1458.b1.a1', '2187.a1.a1'], 'contains': ['8748.a1.a1', '8748.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [8626, -1, 8268, -1, 1435, -1, 8476, -1], 'generators': [7405, 8814], 'label': '17496.dd.4374.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.a1.a1', 'old_label': '4374.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4374.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283006
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '4374.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4374.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['486.f1.a1', '1458.c1.a1', '2187.a1.a1'], 'contains': ['8748.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 2187, 'diagramx': [9544, -1, 9697, -1, 558, -1, 9478, -1], 'generators': [1], 'label': '17496.dd.4374.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2187.a1.a1', 'old_label': '4374.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4374.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283007
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '4374.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4374.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1458.d1.a1', '1458.e1.a1', '2187.a1.a1'], 'contains': ['8748.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 729, 'diagramx': [8939, -1, 9140, -1, 1028, -1, 8908, -1], 'generators': [12774, 1404], 'label': '17496.dd.4374.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '729.b1.a1', 'old_label': '4374.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4374.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157283008
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '5832.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1944.a1.a1', '1944.b1.a1', '1944.c1.a1', '1944.d1.a1', '1944.e1.a1', '1944.f1.a1', '1944.g1.a1', '1944.h1.a1', '2916.a1.a1'], 'contains': ['17496.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2491, -1, 2018, -1, 7592, -1, 2315, -1], 'generators': [6552], 'label': '17496.dd.5832.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '648.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '5832.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5832.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157283009
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '5832.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1944.h1.a1', '1944.i1.a1', '1944.j1.a1', '1944.k1.a1', '1944.l1.a1', '2916.b1.a1', '2916.f1.a1', '2916.g1.a1'], 'contains': ['17496.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7523, -1, 7171, -1, 3626, -1, 6376, -1], 'generators': [72], 'label': '17496.dd.5832.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '648.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '5832.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5832.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283010
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '5832.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1944.a1.a1', '1944.h1.a1', '1944.l1.a1', '1944.m1.a1', '1944.n1.a1', '1944.o1.a1', '1944.p1.a1', '2916.c1.a1', '2916.d1.a1', '2916.h1.a1'], 'contains': ['17496.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4703, -1, 5315, -1, 4535, -1, 5467, -1], 'generators': [7200], 'label': '17496.dd.5832.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '648.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '5832.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5832.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283011
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '5832.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '648.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1458.d1.a1', '1944.b1.a1', '2916.e1.a1'], 'contains': ['17496.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 324, 'diagramx': [1351, -1, 2506, -1, 7816, -1, 2095, -1], 'generators': [12782], 'label': '17496.dd.5832.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '324.g1.a1', 'old_label': '5832.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5832.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283012
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '8748.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '54.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2916.a1.a1', '2916.b1.a1', '2916.c1.a1', '2916.d1.a1', '2916.e1.a1', '4374.a1.a1'], 'contains': ['17496.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [4623, -1, 4639, -1, 4643, -1, 5358, -1], 'generators': [16669], 'label': '17496.dd.8748.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '8748.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8748.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157283013
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '8748.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '243.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2916.f1.a1', '2916.g1.a1', '2916.h1.a1', '4374.a1.a1', '4374.b1.a1', '4374.c1.a1'], 'contains': ['17496.a1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 243, 'diagramx': [8626, -1, 8395, -1, 1435, -1, 8476, -1], 'generators': [8814], 'label': '17496.dd.8748.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.a1.a1', 'old_label': '8748.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8748.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157283014
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '17496.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': ['5832.a1.a1', '5832.b1.a1', '5832.c1.a1', '5832.d1.a1', '8748.a1.a1', '8748.b1.a1'], 'contains': [], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4662, 5000, 4813, 5000, 4589, 5000, 5413, 5000], 'generators': [], 'label': '17496.dd.17496.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '17496.a1.a1', 'normal_contained_in': ['648.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '17496.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '17496.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157283015
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '27.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1'], 'contains': ['54.d1.a1', '54.h1.a1', '54.i1.a1', '243.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': '27T912', 'count': 27, 'diagramx': [8703, -1, 8726, -1, 1960, -1, 8070, -1], 'generators': [15553, 12384, 4104, 1404, 12312, 14022, 4200], 'label': '17496.dd.27.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.c1.a1', 'old_label': '27.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.c1.a1', 'subgroup_fusion': None, 'weyl_group': '648.252'}
  • id: 157283016
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '36.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '18.a1.a1'], 'contains': ['72.g1.a1', '108.a1.a1', '108.b1.a1', '108.c1.a1', '108.d1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4544, -1, 4383, -1, 5747, -1, 4186, -1], 'generators': [16669, 7200, 5832, 4200, 1944, 12312], 'label': '17496.dd.36.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '36.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 157283017
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '36.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1'], 'contains': ['72.d1.a1', '108.b1.a1', '108.e1.a1', '108.f1.a1', '108.g1.a1', '108.m1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [720, -1, 956, -1, 9161, -1, 943, -1], 'generators': [16669, 6552, 648, 8088, 5832, 3902], 'label': '17496.dd.36.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.b1.a1', 'old_label': '36.b1.a1', 'projective_image': '17496.dd', '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': '54.5'}
  • id: 157283018
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '36.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '12.b1.a1'], 'contains': ['72.e1.a1', '108.b1.a1', '108.h1.a1', '108.i1.a1', '108.j1.a1', '108.n1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2274, -1, 2692, -1, 7062, -1, 3056, -1], 'generators': [16669, 7200, 8232, 13824, 5832, 6480], 'label': '17496.dd.36.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '36.c1.a1', 'projective_image': '17496.dd', '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': '18.1'}
  • id: 157283019
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '18.a1.a1'], 'contains': ['72.g1.a1', '108.c1.a1', '108.k1.a1', '108.l1.a1', '108.n1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5026, -1, 4666, -1, 5471, -1, 4463, -1], 'generators': [16669, 7200, 3192, 1944, 12312, 5832], 'label': '17496.dd.36.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '36.d1.a1', 'projective_image': '17496.dd', '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': '36.4'}
  • id: 157283020
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '18.b1.a1'], 'contains': ['72.h1.a1', '108.d1.a1', '108.n1.a1', '108.o1.a1', '108.p1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5780, -1, 5912, -1, 3954, -1, 5980, -1], 'generators': [16669, 7200, 3192, 4176, 5832, 12312], 'label': '17496.dd.36.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '36.e1.a1', 'projective_image': '17496.dd', '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': '36.4'}
  • id: 157283021
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1'], 'contains': ['72.b1.a1', '108.g1.a1', '108.j1.a1'], 'core': '17496.a1.a1', 'coset_action_label': '36T10910', 'count': 4, 'diagramx': [1091, -1, 1876, -1, 8441, -1, 1508, -1], 'generators': [4429, 6552, 648, 17006, 13320, 2328], 'label': '17496.dd.36.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '36.f1.a1', 'projective_image': '17496.dd', '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': '486.36'}
  • id: 157283022
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '18.a1.a1'], 'contains': ['72.g1.a1', '108.q1.a1', '108.r1.a1', '108.s1.a1', '108.w1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [7245, -1, 7034, -1, 3638, -1, 6661, -1], 'generators': [4662, 7200, 12312, 1944, 5832, 15360], 'label': '17496.dd.36.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '36.g1.a1', 'projective_image': '17496.dd', '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': '108.16'}
  • id: 157283023
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '9.a1.a1', '27.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8123, -1, 7936, -1, 2347, -1, 7692, -1], 'generators': [1, 5832, 13824, 14904, 1404, 4200, 6480, 12384, 14022], 'label': '17496.dd.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '5832.ng'}
  • id: 157283024
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '36.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '18.d1.a1'], 'contains': ['72.h1.a1', '108.s1.a1', '108.t1.a1', '108.u1.a1', '108.v1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [8075, -1, 7402, -1, 2210, -1, 7811, -1], 'generators': [8838, 72, 12312, 1944, 5832, 96], 'label': '17496.dd.36.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.d1.a1', 'old_label': '36.h1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.h1.a1', 'subgroup_fusion': None, 'weyl_group': '108.16'}
  • id: 157283025
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '36.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '18.b1.a1', '18.c1.a1', '18.d1.a1'], 'contains': ['72.h1.a1', '108.v1.a1', '108.w1.a1', '108.x1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7820, -1, 7860, -1, 2476, -1, 7549, -1], 'generators': [8838, 12312, 72, 5832, 96, 16488], 'label': '17496.dd.36.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '36.i1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.i1.a1', 'subgroup_fusion': None, 'weyl_group': '648.252'}
  • id: 157283026
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '54.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '27.a1.a1'], 'contains': ['108.c1.a1', '108.s1.a1', '162.a1.a1', '162.b1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [8395, -1, 8095, -1, 2892, -1, 6973, -1], 'generators': [7405, 12312, 7200, 8814, 1944, 5832], 'label': '17496.dd.54.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1.a1', 'old_label': '54.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 157283027
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '54.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1'], 'contains': ['108.a1.a1', '108.k1.a1', '108.q1.a1', '162.a1.a1', '162.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [6027, -1, 5328, -1, 4237, -1, 5697, -1], 'generators': [12661, 7200, 8232, 4662, 1944, 5832], 'label': '17496.dd.54.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '54.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.b1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157283028
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '54.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '18.b1.a1'], 'contains': ['108.d1.a1', '108.n1.a1', '108.w1.a1', '162.b1.a1', '162.c1.a1', '162.d1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [6617, -1, 6094, -1, 3292, -1, 6377, -1], 'generators': [7405, 7200, 12312, 4662, 5832, 15432], 'label': '17496.dd.54.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '54.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.c1.a1', 'subgroup_fusion': None, 'weyl_group': '108.16'}
  • id: 157283029
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '54.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.a1', '27.c1.a1'], 'contains': ['108.o1.a1', '108.x1.a1', '162.d1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8223, -1, 8351, -1, 2680, -1, 7241, -1], 'generators': [421, 12312, 7200, 14022, 8232, 4104], 'label': '17496.dd.54.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '54.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.d1.a1', 'subgroup_fusion': None, 'weyl_group': '648.252'}
  • id: 157283030
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '54.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '27.a1.a1'], 'contains': ['108.s1.a1', '162.e1.a1', '486.e1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [9467, -1, 9526, -1, 1022, -1, 9009, -1], 'generators': [1, 5832, 12312, 14022, 7776, 12384], 'label': '17496.dd.54.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1.a1', 'old_label': '54.e1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.e1.a1', 'subgroup_fusion': None, 'weyl_group': '648.544'}
  • id: 157283031
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '54.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '27.b1.a1'], 'contains': ['162.f1.a1', '216.n1.a1', '1458.d1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [4770, -1, 3223, -1, 6709, -1, 3547, -1], 'generators': [8846, 5832, 12312, 4314, 16956, 72], 'label': '17496.dd.54.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.b1.a1', 'old_label': '54.f1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.f1.a1', 'subgroup_fusion': None, 'weyl_group': '648.704'}
  • id: 157283032
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '54.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1.a1', '27.a1.a1'], 'contains': ['108.s1.a1', '108.v1.a1', '162.f1.a1', '162.g1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [8947, -1, 9115, -1, 1828, -1, 8043, -1], 'generators': [486, 72, 5832, 1404, 96, 12312], 'label': '17496.dd.54.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1.a1', 'old_label': '54.g1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.g1.a1', 'subgroup_fusion': None, 'weyl_group': '648.544'}
  • id: 157283033
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '54.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.c1.a1', '27.c1.a1'], 'contains': ['108.x1.a1', '486.f1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [8765, -1, 8726, -1, 1580, -1, 8417, -1], 'generators': [1, 12312, 12384, 14022, 4200, 4104], 'label': '17496.dd.54.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.c1.a1', 'old_label': '54.h1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.h1.a1', 'subgroup_fusion': None, 'weyl_group': '648.252'}
  • id: 157283034
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['8.a1.a1', '12.a1.a1', '12.b1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4439, -1, 2775, -1, 6898, -1, 3329, -1], 'generators': [16669, 12672, 15216, 1944, 3902, 6552, 648, 5832], 'label': '17496.dd.4.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '17496.dd', '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': '486.36'}
  • id: 157283035
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '54.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1.a1', '27.c1.a1'], 'contains': ['108.u1.a1', '108.x1.a1', '162.g1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [8623, -1, 8584, -1, 1997, -1, 8211, -1], 'generators': [14022, 12312, 72, 9612, 12408, 4104], 'label': '17496.dd.54.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.c1.a1', 'old_label': '54.i1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.i1.a1', 'subgroup_fusion': None, 'weyl_group': '648.252'}
  • id: 157283036
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '72.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1'], 'contains': ['216.c1.a1', '216.h1.a1', '216.i1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1400, -1, 1177, -1, 8880, -1, 1224, -1], 'generators': [3902, 1008], 'label': '17496.dd.72.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.b1.a1', 'old_label': '72.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.a1.a1', 'subgroup_fusion': None, 'weyl_group': '81.9'}
  • id: 157283037
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '72.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '36.f1.a1'], 'contains': ['216.c1.a1', '216.g1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1003, -1, 1660, -1, 8409, -1, 1466, -1], 'generators': [3902, 12672], 'label': '17496.dd.72.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '72.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.b1.a1', 'subgroup_fusion': None, 'weyl_group': '486.36'}
  • id: 157283038
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1'], 'contains': ['216.g1.a1', '216.i1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1180, -1, 1397, -1, 8224, -1, 1880, -1], 'generators': [4046, 12672], 'label': '17496.dd.72.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '72.c1.a1', 'projective_image': '17496.dd', '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': '243.26'}
  • id: 157283039
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '36.b1.a1'], 'contains': ['216.a1.a1', '216.b1.a1', '216.c1.a1', '216.i1.a1', '216.n1.a1', '216.o1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [720, -1, 795, -1, 9161, -1, 943, -1], 'generators': [10742, 8088, 5832], 'label': '17496.dd.72.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.b1.a1', 'old_label': '72.d1.a1', 'projective_image': '17496.dd', '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': '162.21'}
  • id: 157283040
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '36.c1.a1'], 'contains': ['216.d1.a1', '216.f1.a1', '216.g1.a1', '216.h1.a1', '216.o1.a1', '216.q1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2522, -1, 2383, -1, 7062, -1, 2835, -1], 'generators': [6144, 8064, 5832], 'label': '17496.dd.72.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '72.e1.a1', 'projective_image': '17496.dd', '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': '6.1'}
  • id: 157283041
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '72.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1'], 'contains': ['216.e1.a1', '216.o1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2937, -1, 1894, -1, 7995, -1, 2109, -1], 'generators': [16982, 5832], 'label': '17496.dd.72.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.c1.a1', 'old_label': '72.f1.a1', 'projective_image': '17496.dd', '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': '81.9'}
  • id: 157283042
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '72.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '36.a1.a1', '36.d1.a1', '36.g1.a1'], 'contains': ['216.j1.a1', '216.k1.a1', '216.l1.a1', '216.m1.a1', '216.o1.a1', '216.p1.a1', '216.q1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4095, -1, 4049, -1, 6194, -1, 3740, -1], 'generators': [24, 8064, 5832], 'label': '17496.dd.72.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '72.g1.a1', 'projective_image': '17496.dd', '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': '4.2'}
  • id: 157283043
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '72.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '36.e1.a1', '36.h1.a1', '36.i1.a1'], 'contains': ['216.p1.a1', '216.q1.a1', '216.r1.a1', '216.s1.a1', '216.t1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7390, -1, 7251, -1, 3358, -1, 6576, -1], 'generators': [24, 4176, 5832], 'label': '17496.dd.72.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '72.h1.a1', 'projective_image': '17496.dd', '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': '8.3'}
  • id: 157283044
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '81.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '27.a1.a1', '27.b1.a1'], 'contains': ['162.b1.a1', '162.e1.a1', '162.f1.a1', '243.b1.a1', '729.a1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 81, 'diagramx': [9244, -1, 9679, -1, 1369, -1, 8661, -1], 'generators': [3889, 5832, 648, 9612, 14022, 12384], 'label': '17496.dd.81.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '81.a1.a1', 'old_label': '81.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.a1.a1', 'subgroup_fusion': None, 'weyl_group': '216.158'}
  • id: 157283045
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': ['2916.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '18.d1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7949, 5000, 7817, 5000, 2483, 5000, 7548, 5000], 'generators': [8814, 7776, 72, 1404, 16416, 5832, 12312, 96], 'label': '17496.dd.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': '6.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '17496.dd'}
  • id: 157283046
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '54.b1.a1'], 'contains': ['216.k1.a1', '324.a1.a1', '324.b1.a1', '324.c1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [4247, -1, 4395, -1, 5747, -1, 4186, -1], 'generators': [16669, 5832, 11256, 1944, 12384], 'label': '17496.dd.108.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '108.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283047
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '36.b1.a1', '36.c1.a1'], 'contains': ['216.o1.a1', '324.a1.a1', '324.d1.a1', '324.e1.a1', '324.f1.a1', '324.j1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [1867, -1, 2440, -1, 7339, -1, 2558, -1], 'generators': [16669, 7200, 13920, 5832, 648], 'label': '17496.dd.108.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1.a1', 'old_label': '108.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157283048
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '36.d1.a1', '54.a1.a1'], 'contains': ['216.p1.a1', '324.b1.a1', '324.h1.a1', '324.i1.a1', '324.j1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5424, -1, 4666, -1, 5228, -1, 4706, -1], 'generators': [16669, 7200, 1944, 12312, 5832], 'label': '17496.dd.108.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '108.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 157283049
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '36.e1.a1', '54.c1.a1'], 'contains': ['216.q1.a1', '324.c1.a1', '324.j1.a1', '324.k1.a1', '324.l1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4606, -1, 5511, -1, 4705, -1, 5229, -1], 'generators': [16669, 7200, 4200, 5832, 12312], 'label': '17496.dd.108.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '108.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 157283050
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1.a1'], 'contains': ['216.a1.a1', '324.d1.a1', '324.g1.a1', '324.m1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [140, -1, 259, -1, 9879, -1, 225, -1], 'generators': [16669, 6552, 8088, 3902, 648], 'label': '17496.dd.108.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.b1.a1', 'old_label': '108.e1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.e1.a1', 'subgroup_fusion': None, 'weyl_group': '54.5'}
  • id: 157283051
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1.a1'], 'contains': ['216.b1.a1', '324.e1.a1', '324.m1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [405, -1, 581, -1, 9659, -1, 445, -1], 'generators': [16669, 6552, 2256, 3902, 648], 'label': '17496.dd.108.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.b1.a1', 'old_label': '108.f1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.f1.a1', 'subgroup_fusion': None, 'weyl_group': '54.5'}
  • id: 157283052
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1.a1', '36.f1.a1'], 'contains': ['216.c1.a1', '324.f1.a1', '324.m1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [700, -1, 880, -1, 9408, -1, 696, -1], 'generators': [16669, 6552, 13920, 3902, 648], 'label': '17496.dd.108.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.b1.a1', 'old_label': '108.g1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.g1.a1', 'subgroup_fusion': None, 'weyl_group': '54.5'}
  • id: 157283053
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1.a1'], 'contains': ['216.d1.a1', '324.d1.a1', '324.n1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2646, -1, 3182, -1, 7601, -1, 3056, -1], 'generators': [16669, 7200, 13896, 6480, 3192], 'label': '17496.dd.108.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '108.h1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.h1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157283054
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1.a1'], 'contains': ['216.f1.a1', '324.e1.a1', '324.n1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2119, -1, 2983, -1, 6841, -1, 3263, -1], 'generators': [16669, 7200, 8064, 6480, 3192], 'label': '17496.dd.108.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '108.i1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.i1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157283055
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1.a1', '36.f1.a1'], 'contains': ['216.g1.a1', '324.f1.a1', '324.n1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [1452, -1, 2132, -1, 7807, -1, 2297, -1], 'generators': [16669, 7200, 2232, 6480, 3192], 'label': '17496.dd.108.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '108.j1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.j1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157283056
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['12.a1.a1', '12.c1.a1', '18.a1.a1', '18.b1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7699, -1, 7461, -1, 2746, -1, 7241, -1], 'generators': [16669, 15432, 16488, 8814, 5832, 12312, 7200, 1944], 'label': '17496.dd.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '648.252'}
  • id: 157283057
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.a1', '54.b1.a1'], 'contains': ['216.k1.a1', '324.h1.a1', '324.o1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5675, -1, 4919, -1, 4967, -1, 4967, -1], 'generators': [16669, 7200, 1944, 5832, 15432], 'label': '17496.dd.108.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '108.k1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.k1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157283058
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.a1'], 'contains': ['216.m1.a1', '324.i1.a1', '324.o1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5119, -1, 4177, -1, 5973, -1, 3961, -1], 'generators': [16669, 7200, 14256, 5832, 15432], 'label': '17496.dd.108.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '108.l1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.l1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157283059
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.b1.a1', '36.b1.a1'], 'contains': ['216.n1.a1', '324.j1.a1', '324.m1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [2383, -1, 1591, -1, 8623, -1, 1680, -1], 'generators': [16669, 6552, 5832, 3902, 648], 'label': '17496.dd.108.m1.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.b1.a1', 'old_label': '108.m1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.m1.a1', 'subgroup_fusion': None, 'weyl_group': '54.5'}
  • id: 157283060
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1.a1', '36.d1.a1', '36.e1.a1', '54.c1.a1'], 'contains': ['216.q1.a1', '324.j1.a1', '324.n1.a1', '324.o1.a1', '324.p1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4905, -1, 5245, -1, 5505, -1, 4429, -1], 'generators': [16669, 7200, 12312, 5832, 3192], 'label': '17496.dd.108.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '108.n1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.n1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 157283061
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.e1.a1', '54.d1.a1'], 'contains': ['216.s1.a1', '324.k1.a1', '324.p1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6742, -1, 7272, -1, 3137, -1, 6797, -1], 'generators': [16669, 7200, 11304, 12312, 15432], 'label': '17496.dd.108.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '108.o1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.o1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 157283062
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '216.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.e1.a1'], 'contains': ['216.t1.a1', '324.l1.a1', '324.p1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5873, -1, 6448, -1, 4443, -1, 5491, -1], 'generators': [16669, 7200, 17136, 12312, 15432], 'label': '17496.dd.108.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '108.p1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.p1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157283063
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.a1', '54.b1.a1'], 'contains': ['216.k1.a1', '324.q1.a1', '324.s1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [6182, -1, 5993, -1, 4237, -1, 5903, -1], 'generators': [4662, 7200, 1944, 5832, 3192], 'label': '17496.dd.108.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '108.q1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.q1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157283064
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.a1'], 'contains': ['216.l1.a1', '324.q1.a1', '324.t1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [6379, -1, 6193, -1, 4031, -1, 6109, -1], 'generators': [4662, 7200, 1944, 5832, 8376], 'label': '17496.dd.108.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.r1.a1', 'old_label': '108.r1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.r1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157283065
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.a1', '36.h1.a1', '54.a1.a1', '54.e1.a1', '54.g1.a1'], 'contains': ['216.p1.a1', '324.q1.a1', '324.r1.a1', '324.u1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [8740, -1, 8684, -1, 2218, -1, 7718, -1], 'generators': [8814, 12312, 1944, 5832, 72], 'label': '17496.dd.108.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1.a1', 'old_label': '108.s1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.s1.a1', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 157283066
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.h1.a1'], 'contains': ['216.r1.a1', '324.r1.a1', '324.w1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 108, 'diagramx': [7840, -1, 7723, -1, 1599, -1, 8085, -1], 'generators': [8838, 72, 13608, 5832, 12336], 'label': '17496.dd.108.t1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.t1.a1', 'old_label': '108.t1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.t1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157283067
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['12.c1.a1', '18.c1.a1', '54.e1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8704, -1, 8080, -1, 1745, -1, 8285, -1], 'generators': [1, 7776, 12384, 14022, 16416, 5832, 12312, 16584], 'label': '17496.dd.6.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '17496.dd', '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': '5832.ng'}
  • id: 157283068
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.h1.a1', '54.i1.a1'], 'contains': ['216.s1.a1', '324.r1.a1', '324.v1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [8333, -1, 8164, -1, 1393, -1, 8542, -1], 'generators': [8838, 72, 13608, 5832, 24], 'label': '17496.dd.108.u1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.i1.a1', 'old_label': '108.u1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.u1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 157283069
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.h1.a1', '36.i1.a1', '54.g1.a1'], 'contains': ['216.p1.a1', '324.u1.a1', '324.v1.a1', '324.w1.a1', '324.x1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [8060, -1, 7944, -1, 1828, -1, 8313, -1], 'generators': [8838, 72, 5832, 96, 12312], 'label': '17496.dd.108.v1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.d1.a1', 'old_label': '108.v1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.v1.a1', 'subgroup_fusion': None, 'weyl_group': '108.16'}
  • id: 157283070
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.a1', '36.i1.a1', '54.c1.a1'], 'contains': ['216.q1.a1', '324.s1.a1', '324.t1.a1', '324.u1.a1', '324.y1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [7133, -1, 6831, -1, 2908, -1, 7232, -1], 'generators': [4662, 7200, 5832, 15360, 12312], 'label': '17496.dd.108.w1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '108.w1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.w1.a1', 'subgroup_fusion': None, 'weyl_group': '108.16'}
  • id: 157283071
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '108.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.i1.a1', '54.d1.a1', '54.h1.a1', '54.i1.a1'], 'contains': ['216.s1.a1', '324.x1.a1', '324.y1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8554, -1, 8497, -1, 2024, -1, 7912, -1], 'generators': [14022, 12312, 12408, 4104, 72], 'label': '17496.dd.108.x1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '108.x1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.x1.a1', 'subgroup_fusion': None, 'weyl_group': '648.252'}
  • id: 157283072
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '162.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.a1.a1', '54.b1.a1'], 'contains': ['324.b1.a1', '324.h1.a1', '324.q1.a1', '486.a1.a1', '486.b1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 162, 'diagramx': [7075, -1, 6669, -1, 3599, -1, 6335, -1], 'generators': [12661, 7200, 8814, 13608, 5832], 'label': '17496.dd.162.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.a1.a1', 'old_label': '162.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157283073
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '162.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.a1.a1', '54.c1.a1', '81.a1.a1'], 'contains': ['324.j1.a1', '324.u1.a1', '486.b1.a1', '486.c1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [8147, -1, 8690, -1, 2460, -1, 7475, -1], 'generators': [7405, 12312, 8814, 5832, 7200], 'label': '17496.dd.162.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1.a1', 'old_label': '162.b1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.b1.a1', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 157283074
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '162.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '972.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.b1.a1', '54.c1.a1'], 'contains': ['324.c1.a1', '324.o1.a1', '324.s1.a1', '486.b1.a1', '486.d1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [6031, -1, 5789, -1, 3825, -1, 5697, -1], 'generators': [12661, 7200, 4662, 5832, 8232], 'label': '17496.dd.162.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.b1.a1', 'old_label': '162.c1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.c1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 157283075
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '162.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.c1.a1', '54.d1.a1'], 'contains': ['324.k1.a1', '324.p1.a1', '324.y1.a1', '486.c1.a1', '486.d1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [6860, -1, 7024, -1, 2680, -1, 7003, -1], 'generators': [12661, 7200, 4662, 8232, 12312], 'label': '17496.dd.162.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1.a1', 'old_label': '162.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.d1.a1', 'subgroup_fusion': None, 'weyl_group': '108.16'}
  • id: 157283076
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '162.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.c1.a1', '54.e1.a1', '81.a1.a1'], 'contains': ['324.u1.a1', '486.f1.a1', '1458.c1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 81, 'diagramx': [9582, -1, 9590, -1, 424, -1, 9511, -1], 'generators': [1, 5832, 14022, 12384, 12312], 'label': '17496.dd.162.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '81.a1.a1', 'old_label': '162.e1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.e1.a1', 'subgroup_fusion': None, 'weyl_group': '216.158'}
  • id: 157283077
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '162.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.f1.a1', '54.g1.a1', '81.a1.a1'], 'contains': ['324.u1.a1', '486.g1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [9155, -1, 9263, -1, 1189, -1, 8747, -1], 'generators': [462, 5832, 1404, 72, 12312], 'label': '17496.dd.162.f1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.b1.a1', 'old_label': '162.f1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.f1.a1', 'subgroup_fusion': None, 'weyl_group': '648.704'}
  • id: 157283078
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '4.a1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4380, -1, 2775, -1, 6898, -1, 3320, -1], 'generators': [6854, 1944], 'label': '17496.dd.8.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '486.36'}
  • id: 157283079
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '162.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.g1.a1', '54.i1.a1'], 'contains': ['324.r1.a1', '324.v1.a1', '324.x1.a1', '486.g1.a1', '486.h1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 162, 'diagramx': [8961, -1, 9067, -1, 985, -1, 8950, -1], 'generators': [486, 72, 6588, 168, 12312], 'label': '17496.dd.162.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.g1.a1', 'old_label': '162.g1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.g1.a1', 'subgroup_fusion': None, 'weyl_group': '108.16'}
  • id: 157283080
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.d1.a1', '108.e1.a1'], 'contains': ['648.b1.a1', '648.c1.a1', '648.h1.a1', '648.i1.a1', '648.j1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [165, -1, 250, -1, 9725, -1, 275, -1], 'generators': [2006, 9384, 648], 'label': '17496.dd.216.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.b1.a1', 'old_label': '216.a1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.a1.a1', 'subgroup_fusion': None, 'weyl_group': '54.5'}
  • id: 157283083
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.e1.a1', '108.h1.a1'], 'contains': ['648.c1.a1', '648.d1.a1', '648.g1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3103, -1, 2843, -1, 7613, -1, 2868, -1], 'generators': [13272, 15120], 'label': '17496.dd.216.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '216.d1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283084
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.f1.a1'], 'contains': ['648.c1.a1', '648.k1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [2621, -1, 1560, -1, 8623, -1, 1377, -1], 'generators': [16982, 648], 'label': '17496.dd.216.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.f1.a1', 'old_label': '216.e1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.e1.a1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 157283085
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.e1.a1', '108.i1.a1'], 'contains': ['648.d1.a1', '648.e1.a1', '648.g1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2346, -1, 2723, -1, 7252, -1, 2992, -1], 'generators': [1608, 9288], 'label': '17496.dd.216.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '216.f1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283086
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.b1.a1', '72.c1.a1', '72.e1.a1', '108.j1.a1'], 'contains': ['648.d1.a1', '648.f1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1255, -1, 1826, -1, 7941, -1, 2059, -1], 'generators': [8232, 2232], 'label': '17496.dd.216.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '216.g1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.g1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157283087
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '72.e1.a1'], 'contains': ['648.f1.a1', '648.g1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1391, -1, 1707, -1, 8064, -1, 1936, -1], 'generators': [14064, 8064], 'label': '17496.dd.216.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '216.h1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.h1.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 157283088
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '72.c1.a1', '72.d1.a1'], 'contains': ['648.f1.a1', '648.h1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1058, -1, 1087, -1, 9054, -1, 946, -1], 'generators': [2150, 15216], 'label': '17496.dd.216.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.b1.a1', 'old_label': '216.i1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.i1.a1', 'subgroup_fusion': None, 'weyl_group': '81.9'}
  • id: 157283089
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['18.b1.a1', '18.c1.a1', '18.d1.a1', '27.c1.a1', '81.a1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8662, -1, 8289, -1, 2135, -1, 7895, -1], 'generators': [3889, 15768, 5832, 1404, 4200, 12312, 12384, 14022], 'label': '17496.dd.9.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '9.a1.a1', 'projective_image': '17496.dd', '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': '1944.2317'}
  • id: 157283090
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.g1.a1'], 'contains': ['648.l1.a1', '648.o1.a1', '648.p1.a1', '648.q1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3391, -1, 3457, -1, 6510, -1, 3488, -1], 'generators': [5856, 2808], 'label': '17496.dd.216.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1.a1', 'old_label': '216.j1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.j1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 157283091
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.g1.a1', '108.a1.a1', '108.k1.a1', '108.q1.a1'], 'contains': ['648.l1.a1', '648.m1.a1', '648.n1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4978, -1, 4454, -1, 5824, -1, 4174, -1], 'generators': [24, 14472], 'label': '17496.dd.216.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '216.k1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283092
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.g1.a1', '108.r1.a1'], 'contains': ['648.m1.a1', '648.p1.a1', '648.q1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4805, -1, 4684, -1, 5701, -1, 4298, -1], 'generators': [24, 2808], 'label': '17496.dd.216.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '216.l1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.l1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283093
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.g1.a1', '108.l1.a1'], 'contains': ['648.n1.a1', '648.o1.a1', '648.p1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3900, -1, 3575, -1, 6387, -1, 3612, -1], 'generators': [5856, 14472], 'label': '17496.dd.216.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1.a1', 'old_label': '216.m1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283094
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.f1.a1', '72.d1.a1', '108.m1.a1'], 'contains': ['648.a1.a1', '648.b1.a1', '648.h1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [2012, -1, 1363, -1, 8827, -1, 1173, -1], 'generators': [12782, 5832], 'label': '17496.dd.216.n1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.b1.a1', 'old_label': '216.n1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.n1.a1', 'subgroup_fusion': None, 'weyl_group': '54.5'}
  • id: 157283095
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.d1.a1', '72.e1.a1', '72.f1.a1', '72.g1.a1', '108.b1.a1'], 'contains': ['648.a1.a1', '648.c1.a1', '648.e1.a1', '648.f1.a1', '648.l1.a1', '648.p1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2821, -1, 2111, -1, 7433, -1, 2443, -1], 'generators': [8088, 12312, 5832], 'label': '17496.dd.216.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '216.o1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.o1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 157283096
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.g1.a1', '72.h1.a1', '108.c1.a1', '108.s1.a1', '108.v1.a1'], 'contains': ['648.a1.a1', '648.m1.a1', '648.o1.a1', '648.r1.a1', '648.t1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7644, -1, 7578, -1, 4384, -1, 5614, -1], 'generators': [24, 12312, 5832], 'label': '17496.dd.216.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '216.p1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.p1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 157283097
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.e1.a1', '72.g1.a1', '72.h1.a1', '108.d1.a1', '108.n1.a1', '108.w1.a1'], 'contains': ['648.a1.a1', '648.d1.a1', '648.g1.a1', '648.n1.a1', '648.q1.a1', '648.s1.a1', '648.u1.a1'], 'core': '648.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4416, -1, 5322, -1, 5520, -1, 4478, -1], 'generators': [8376, 12312, 5832], 'label': '17496.dd.216.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '216.q1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.q1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 157283098
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.h1.a1', '108.t1.a1'], 'contains': ['648.r1.a1', '648.t1.a1', '648.u1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7416, -1, 7348, -1, 2514, -1, 7484, -1], 'generators': [672, 11232], 'label': '17496.dd.216.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '216.r1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.r1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 157283099
    {'ambient': '17496.dd', 'aut_centralizer_order': None, 'aut_label': '216.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.h1.a1', '108.o1.a1', '108.u1.a1', '108.x1.a1'], 'contains': ['648.r1.a1', '648.s1.a1'], 'core': '17496.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7872, -1, 7807, -1, 2391, -1, 7608, -1], 'generators': [12336, 11232], 'label': '17496.dd.216.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '216.s1.a1', 'projective_image': '17496.dd', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.s1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}