Abstract group data - 26620.bw

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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': '20.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 110, 'aut_gen_orders': [10, 110, 11, 22], 'aut_gens': [[1, 10, 110, 1210], [10891, 7280, 7480, 18150], [2741, 7670, 17050, 22990], [3571, 21790, 2530, 1210], [20571, 10, 110, 1210]], 'aut_group': '266200.g', 'aut_hash': 1694815324632863438, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 266200, 'aut_permdeg': 1573, 'aut_perms': 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'aut_phi_ratio': 27.5, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 121, 2, 1], [5, 1331, 1, 4], [10, 1331, 1, 4], [10, 1331, 2, 4], [11, 10, 1, 1], [11, 55, 2, 1], [11, 110, 1, 1], [11, 110, 10, 1], [22, 10, 1, 1], [22, 55, 2, 1], [22, 110, 1, 1], [22, 110, 10, 1], [22, 605, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{22}.F_{11}^2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '133100.be', 'autcentquo_hash': 6501023867853927099, 'autcentquo_nilpotent': False, 'autcentquo_order': 133100, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': '\\He_{11}:C_{10}^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 121, 2], [5, 1331, 4], [10, 1331, 12], [11, 10, 1], [11, 55, 2], [11, 110, 11], [22, 10, 1], [22, 55, 2], [22, 110, 11], [22, 605, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '13310.bn', 'commutator_count': 1, 'commutator_label': '1331.3', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '5.1', '11.1', '11.1', '11.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 49, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['13310.bn', 1], ['2.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 121, 1, 2], [5, 1331, 4, 1], [10, 1331, 4, 3], [11, 10, 1, 1], [11, 55, 2, 1], [11, 110, 1, 1], [11, 110, 10, 1], [22, 10, 1, 1], [22, 55, 2, 1], [22, 110, 1, 1], [22, 110, 10, 1], [22, 605, 2, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 792, 'exponent': 110, 'exponents_of_order': [3, 2, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[110, 1, 1]], 'familial': False, 'frattini_label': '11.1', 'frattini_quotient': '2420.bc', 'hash': 6595041542494513561, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [10, 11, 11, 11], 'inner_gens': [[1, 530, 17710, 22990], [15321, 10, 12210, 1210], [10231, 14530, 110, 1210], [4841, 10, 110, 1210]], 'inner_hash': 3983263461412134462, 'inner_nilpotent': False, 'inner_order': 13310, 'inner_split': True, 'inner_tex': 'C_{11}^2:F_{11}', 'inner_used': [1, 2], 'irrC_degree': 110, 'irrQ_degree': 110, 'irrQ_dim': 110, 'irrR_degree': 110, 'irrep_stats': [[1, 20], [5, 8], [10, 22], [110, 2]], 'label': '26620.bw', 'linC_count': 1, 'linC_degree': 110, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 110, 'linQ_degree_count': 1, 'linQ_dim': 110, 'linQ_dim_count': 1, 'linR_count': 1, 'linR_degree': 110, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C2*C11^2:F11', 'ngens': 6, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 24, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': 52, 'number_divisions': 18, 'number_normal_subgroups': 21, 'number_subgroup_autclasses': 60, 'number_subgroup_classes': 74, 'number_subgroups': 10040, 'old_label': None, 'order': 26620, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 243], [5, 5324], [10, 15972], [11, 1330], [22, 3750]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 10, 'outer_gen_orders': [2, 10], 'outer_gen_pows': [2, 0], 'outer_gens': [[13311, 15310, 14960, 22990], [1, 17180, 17050, 15730]], 'outer_group': '20.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 20, 'outer_permdeg': 9, 'outer_perms': [720, 40435], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_{10}', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 123, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [4, 4], [10, 6], [100, 2], [110, 2]], 'representations': {'PC': {'code': '936863959050035704662005945058183716245703892172753039909', 'gens': [1, 3, 4, 5], 'pres': [6, -2, -5, -11, -11, -2, -11, 12, 9542, 161738, 425043, 180849, 29319, 689704, 163360, 88, 696965, 392051]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [18554914974837870, 31201094757120263, 5624305910397809, 41644812229207363, 32182222080390795, 41772741070013040]}, 'Perm': {'d': 123, 'gens': [106966616020449284091523233222836748384614454861759657732910417683899089627608681177766032422294469414728881469364377344534516453728858869996042646081697096682228930221877260595827140963410147510234828767, 206533233631679037619898803509347220118722377821176701339656522809283017108445793594936343941038971763239833199615974424673844702996959807704661207819103151521435413469128898354481384306422911605244429231, 306099839065773895821471473403586306285533535947121646045630779391120168316391292844899437174449857965080138524944060701488506543721747068112490968516302957035761381554642690681289343247486443348945266808, 405666468331384395785107575116537324504168052075245817563401591682883113561465142265910103282833908110444529698624664084604976050020298901563056432357208401116482865892427929458274323514543507541901828720, 505232297086728581755219132547633922744053145788210580446003950727412671477104949333946248760427590698189015203633327607047335941594940391394136587079748167991356179598378012395177003544146956919218514664, 1]}}, 'schur_multiplier': [22], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 10], 'solvability_type': 10, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\times C_{11}^2:F_{11}', 'transitive_degree': 242, '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: 157067293
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 49, 'group_order': 26620, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 157067304
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 49, 'group_order': 26620, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 13310, 'size': 1}
  • id: 157067315
    {'aut_label': '2B', 'centralizer': '121.a1.a1', 'counter': 3, 'group_counter': 49, 'group_order': 26620, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 1435, 'size': 121}
  • id: 157067326
    {'aut_label': '2B', 'centralizer': '121.a1.a1', 'counter': 4, 'group_counter': 49, 'group_order': 26620, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 20135, 'size': 121}
  • id: 157067337
    {'aut_label': '5A1', 'centralizer': '1331.a1.a1', 'counter': 5, 'group_counter': 49, 'group_order': 26620, 'label': '5A1', 'order': 5, 'powers': [7, 1, 5], 'representative': 3306, 'size': 1331}
  • id: 157067341
    {'aut_label': '5A-1', 'centralizer': '1331.a1.a1', 'counter': 6, 'group_counter': 49, 'group_order': 26620, 'label': '5A-1', 'order': 5, 'powers': [8, 1, 6], 'representative': 15514, 'size': 1331}
  • id: 157067342
    {'aut_label': '5A2', 'centralizer': '1331.a1.a1', 'counter': 7, 'group_counter': 49, 'group_order': 26620, 'label': '5A2', 'order': 5, 'powers': [6, 1, 7], 'representative': 8032, 'size': 1331}
  • id: 157067343
    {'aut_label': '5A-2', 'centralizer': '1331.a1.a1', 'counter': 8, 'group_counter': 49, 'group_order': 26620, 'label': '5A-2', 'order': 5, 'powers': [5, 1, 8], 'representative': 12438, 'size': 1331}
  • id: 157067344
    {'aut_label': '10A1', 'centralizer': '1331.a1.a1', 'counter': 9, 'group_counter': 49, 'group_order': 26620, 'label': '10A1', 'order': 10, 'powers': [5, 3, 9], 'representative': 16833, 'size': 1331}
  • id: 157067294
    {'aut_label': '10A-1', 'centralizer': '1331.a1.a1', 'counter': 10, 'group_counter': 49, 'group_order': 26620, 'label': '10A-1', 'order': 10, 'powers': [6, 3, 10], 'representative': 21237, 'size': 1331}
  • id: 157067295
    {'aut_label': '10A3', 'centralizer': '1331.a1.a1', 'counter': 11, 'group_counter': 49, 'group_order': 26620, 'label': '10A3', 'order': 10, 'powers': [8, 3, 11], 'representative': 13759, 'size': 1331}
  • id: 157067296
    {'aut_label': '10A-3', 'centralizer': '1331.a1.a1', 'counter': 12, 'group_counter': 49, 'group_order': 26620, 'label': '10A-3', 'order': 10, 'powers': [7, 3, 12], 'representative': 25961, 'size': 1331}
  • id: 157067297
    {'aut_label': '10B1', 'centralizer': '1331.a1.a1', 'counter': 13, 'group_counter': 49, 'group_order': 26620, 'label': '10B1', 'order': 10, 'powers': [6, 2, 13], 'representative': 21752, 'size': 1331}
  • id: 157067298
    {'aut_label': '10B-1', 'centralizer': '1331.a1.a1', 'counter': 14, 'group_counter': 49, 'group_order': 26620, 'label': '10B-1', 'order': 10, 'powers': [5, 2, 14], 'representative': 14068, 'size': 1331}
  • id: 157067299
    {'aut_label': '10B3', 'centralizer': '1331.a1.a1', 'counter': 15, 'group_counter': 49, 'group_order': 26620, 'label': '10B3', 'order': 10, 'powers': [7, 2, 15], 'representative': 21376, 'size': 1331}
  • id: 157067300
    {'aut_label': '10B-3', 'centralizer': '1331.a1.a1', 'counter': 16, 'group_counter': 49, 'group_order': 26620, 'label': '10B-3', 'order': 10, 'powers': [8, 2, 16], 'representative': 15804, 'size': 1331}
  • id: 157067301
    {'aut_label': '10A-3', 'centralizer': '1331.a1.a1', 'counter': 17, 'group_counter': 49, 'group_order': 26620, 'label': '10C1', 'order': 10, 'powers': [7, 4, 17], 'representative': 22061, 'size': 1331}
  • id: 157067302
    {'aut_label': '10A3', 'centralizer': '1331.a1.a1', 'counter': 18, 'group_counter': 49, 'group_order': 26620, 'label': '10C-1', 'order': 10, 'powers': [8, 4, 18], 'representative': 20389, 'size': 1331}
  • id: 157067303
    {'aut_label': '10A1', 'centralizer': '1331.a1.a1', 'counter': 19, 'group_counter': 49, 'group_order': 26620, 'label': '10C3', 'order': 10, 'powers': [5, 4, 19], 'representative': 24823, 'size': 1331}
  • id: 157067305
    {'aut_label': '10A-1', 'centralizer': '1331.a1.a1', 'counter': 20, 'group_counter': 49, 'group_order': 26620, 'label': '10C-3', 'order': 10, 'powers': [6, 4, 20], 'representative': 17987, 'size': 1331}
  • id: 157067306
    {'aut_label': '11A', 'centralizer': '10.a1.a1', 'counter': 21, 'group_counter': 49, 'group_order': 26620, 'label': '11A', 'order': 11, 'powers': [21, 21, 1], 'representative': 2420, 'size': 10}
  • id: 157067307
    {'aut_label': '11B1', 'centralizer': '55.b1.a1', 'counter': 22, 'group_counter': 49, 'group_order': 26620, 'label': '11B1', 'order': 11, 'powers': [23, 22, 1], 'representative': 460, 'size': 55}
  • id: 157067308
    {'aut_label': '11B1', 'centralizer': '55.b1.a1', 'counter': 23, 'group_counter': 49, 'group_order': 26620, 'label': '11B-1', 'order': 11, 'powers': [22, 23, 1], 'representative': 17800, 'size': 55}
  • id: 157067309
    {'aut_label': '11C', 'centralizer': '110.b1.a1', 'counter': 24, 'group_counter': 49, 'group_order': 26620, 'label': '11C', 'order': 11, 'powers': [24, 24, 1], 'representative': 2640, 'size': 110}
  • id: 157067310
    {'aut_label': '11D1', 'centralizer': '110.d1.a1', 'counter': 25, 'group_counter': 49, 'group_order': 26620, 'label': '11D1', 'order': 11, 'powers': [27, 33, 1], 'representative': 2440, 'size': 110}
  • id: 157067311
    {'aut_label': '11D1', 'centralizer': '110.d1.a1', 'counter': 26, 'group_counter': 49, 'group_order': 26620, 'label': '11D-1', 'order': 11, 'powers': [28, 34, 1], 'representative': 24290, 'size': 110}
  • id: 157067312
    {'aut_label': '11D1', 'centralizer': '110.d1.a1', 'counter': 27, 'group_counter': 49, 'group_order': 26620, 'label': '11D2', 'order': 11, 'powers': [31, 26, 1], 'representative': 4880, 'size': 110}
  • id: 157067313
    {'aut_label': '11D1', 'centralizer': '110.d1.a1', 'counter': 28, 'group_counter': 49, 'group_order': 26620, 'label': '11D-2', 'order': 11, 'powers': [32, 25, 1], 'representative': 21850, 'size': 110}
  • id: 157067314
    {'aut_label': '11D1', 'centralizer': '110.d1.a1', 'counter': 29, 'group_counter': 49, 'group_order': 26620, 'label': '11D3', 'order': 11, 'powers': [34, 31, 1], 'representative': 7320, 'size': 110}
  • id: 157067316
    {'aut_label': '11D1', 'centralizer': '110.d1.a1', 'counter': 30, 'group_counter': 49, 'group_order': 26620, 'label': '11D-3', 'order': 11, 'powers': [33, 32, 1], 'representative': 19410, 'size': 110}
  • id: 157067317
    {'aut_label': '11D1', 'centralizer': '110.d1.a1', 'counter': 31, 'group_counter': 49, 'group_order': 26620, 'label': '11D4', 'order': 11, 'powers': [30, 28, 1], 'representative': 9760, 'size': 110}
  • id: 157067318
    {'aut_label': '11D1', 'centralizer': '110.d1.a1', 'counter': 32, 'group_counter': 49, 'group_order': 26620, 'label': '11D-4', 'order': 11, 'powers': [29, 27, 1], 'representative': 16970, 'size': 110}
  • id: 157067319
    {'aut_label': '11D1', 'centralizer': '110.d1.a1', 'counter': 33, 'group_counter': 49, 'group_order': 26620, 'label': '11D5', 'order': 11, 'powers': [26, 29, 1], 'representative': 12200, 'size': 110}
  • id: 157067320
    {'aut_label': '11D1', 'centralizer': '110.d1.a1', 'counter': 34, 'group_counter': 49, 'group_order': 26620, 'label': '11D-5', 'order': 11, 'powers': [25, 30, 1], 'representative': 14530, 'size': 110}
  • id: 157067321
    {'aut_label': '22A', 'centralizer': '10.a1.a1', 'counter': 35, 'group_counter': 49, 'group_order': 26620, 'label': '22A', 'order': 22, 'powers': [21, 35, 2], 'representative': 1210, 'size': 10}
  • id: 157067322
    {'aut_label': '22B1', 'centralizer': '55.b1.a1', 'counter': 36, 'group_counter': 49, 'group_order': 26620, 'label': '22B1', 'order': 22, 'powers': [22, 36, 2], 'representative': 1440, 'size': 55}
  • id: 157067323
    {'aut_label': '22B1', 'centralizer': '55.b1.a1', 'counter': 37, 'group_counter': 49, 'group_order': 26620, 'label': '22B-1', 'order': 22, 'powers': [23, 37, 2], 'representative': 1670, 'size': 55}
  • id: 157067324
    {'aut_label': '22C', 'centralizer': '110.b1.a1', 'counter': 38, 'group_counter': 49, 'group_order': 26620, 'label': '22C', 'order': 22, 'powers': [24, 38, 2], 'representative': 1320, 'size': 110}
  • id: 157067325
    {'aut_label': '22D1', 'centralizer': '110.d1.a1', 'counter': 39, 'group_counter': 49, 'group_order': 26620, 'label': '22D1', 'order': 22, 'powers': [25, 43, 2], 'representative': 1220, 'size': 110}
  • id: 157067327
    {'aut_label': '22D1', 'centralizer': '110.d1.a1', 'counter': 40, 'group_counter': 49, 'group_order': 26620, 'label': '22D-1', 'order': 22, 'powers': [26, 44, 2], 'representative': 1310, 'size': 110}
  • id: 157067328
    {'aut_label': '22D1', 'centralizer': '110.d1.a1', 'counter': 41, 'group_counter': 49, 'group_order': 26620, 'label': '22D3', 'order': 22, 'powers': [29, 46, 2], 'representative': 1240, 'size': 110}
  • id: 157067329
    {'aut_label': '22D1', 'centralizer': '110.d1.a1', 'counter': 42, 'group_counter': 49, 'group_order': 26620, 'label': '22D-3', 'order': 22, 'powers': [30, 45, 2], 'representative': 1290, 'size': 110}
  • id: 157067330
    {'aut_label': '22D1', 'centralizer': '110.d1.a1', 'counter': 43, 'group_counter': 49, 'group_order': 26620, 'label': '22D5', 'order': 22, 'powers': [33, 41, 2], 'representative': 1260, 'size': 110}
  • id: 157067331
    {'aut_label': '22D1', 'centralizer': '110.d1.a1', 'counter': 44, 'group_counter': 49, 'group_order': 26620, 'label': '22D-5', 'order': 22, 'powers': [34, 42, 2], 'representative': 1270, 'size': 110}
  • id: 157067332
    {'aut_label': '22D1', 'centralizer': '110.d1.a1', 'counter': 45, 'group_counter': 49, 'group_order': 26620, 'label': '22D7', 'order': 22, 'powers': [32, 48, 2], 'representative': 1280, 'size': 110}
  • id: 157067333
    {'aut_label': '22D1', 'centralizer': '110.d1.a1', 'counter': 46, 'group_counter': 49, 'group_order': 26620, 'label': '22D-7', 'order': 22, 'powers': [31, 47, 2], 'representative': 1250, 'size': 110}
  • id: 157067334
    {'aut_label': '22D1', 'centralizer': '110.d1.a1', 'counter': 47, 'group_counter': 49, 'group_order': 26620, 'label': '22D9', 'order': 22, 'powers': [28, 39, 2], 'representative': 1300, 'size': 110}
  • id: 157067335
    {'aut_label': '22D1', 'centralizer': '110.d1.a1', 'counter': 48, 'group_counter': 49, 'group_order': 26620, 'label': '22D-9', 'order': 22, 'powers': [27, 40, 2], 'representative': 1230, 'size': 110}
  • id: 157067336
    {'aut_label': '22E1', 'centralizer': '605.a1.a1', 'counter': 49, 'group_counter': 49, 'group_order': 26620, 'label': '22E1', 'order': 22, 'powers': [23, 49, 3], 'representative': 2285, 'size': 605}
  • id: 157067338
    {'aut_label': '22E1', 'centralizer': '605.a1.a1', 'counter': 50, 'group_counter': 49, 'group_order': 26620, 'label': '22E-1', 'order': 22, 'powers': [22, 50, 3], 'representative': 2345, 'size': 605}
  • id: 157067339
    {'aut_label': '22E1', 'centralizer': '605.a1.a1', 'counter': 51, 'group_counter': 49, 'group_order': 26620, 'label': '22F1', 'order': 22, 'powers': [23, 51, 4], 'representative': 3325, 'size': 605}
  • id: 157067340
    {'aut_label': '22E1', 'centralizer': '605.a1.a1', 'counter': 52, 'group_counter': 49, 'group_order': 26620, 'label': '22F-1', 'order': 22, 'powers': [22, 52, 4], 'representative': 2515, 'size': 605}
• 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: 15352598
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.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], 'schur_index': 1}
  • id: 15352608
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.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], 'schur_index': 1}
  • id: 15352609
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 15352610
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 15352611
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.1e', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'schur_index': 1}
  • id: 15352612
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.1f', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4], 'schur_index': 1}
  • id: 15352613
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.1g', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, -4, -4], 'schur_index': 1}
  • id: 15352614
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.1h', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4], 'schur_index': 1}
  • id: 15352615
    {'cdim': 5, 'counter': 9, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.5a', 'multiplicity': 2, 'nt': [11, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, -1, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, -1, -1, -1, -1], 'schur_index': 1}
  • id: 15352599
    {'cdim': 5, 'counter': 10, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.5b', 'multiplicity': 2, 'nt': [22, 5], 'qdim': 10, 'qvalues': [10, -10, -10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, -1, -10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -10, 1, 1, -1, -1], 'schur_index': 1}
  • id: 15352600
    {'cdim': 5, 'counter': 11, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.5c', 'multiplicity': 2, 'nt': [22, 5], 'qdim': 10, 'qvalues': [10, -10, 10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, -1, -10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -10, -1, -1, 1, 1], 'schur_index': 1}
  • id: 15352601
    {'cdim': 5, 'counter': 12, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.5d', 'multiplicity': 2, 'nt': [22, 5], 'qdim': 10, 'qvalues': [10, 10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, -1, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, 1, 1, 1, 1], 'schur_index': 1}
  • id: 15352602
    {'cdim': 10, 'counter': 13, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.10a', 'multiplicity': 1, 'nt': [11, 4], 'qdim': 10, 'qvalues': [10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15352603
    {'cdim': 10, 'counter': 14, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.10b', 'multiplicity': 1, 'nt': [22, 6], 'qdim': 10, 'qvalues': [10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -10, -10, -10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15352604
    {'cdim': 10, 'counter': 15, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.10c', 'multiplicity': 10, 'nt': [110, 0], 'qdim': 100, 'qvalues': [100, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, -10, -10, 1, 1, 1, 1, 1, 1, 1, 1, 1, -10, 1, 100, -10, -10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -10, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15352605
    {'cdim': 10, 'counter': 16, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.10d', 'multiplicity': 10, 'nt': [220, 0], 'qdim': 100, 'qvalues': [100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, -10, -10, 1, 1, 1, 1, 1, 1, 1, 1, 1, -10, 1, -100, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15352606
    {'cdim': 110, 'counter': 17, 'faithful': False, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.110a', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15352607
    {'cdim': 110, 'counter': 18, 'faithful': True, 'group': '26620.bw', 'group_order': 26620, 'image': None, 'label': '26620.bw.110b', 'multiplicity': 1, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 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: 35184849
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 26620, 'label': '26620.bw.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]]]}
  • id: 35184860
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.b1', 'kernel_order': 13310, 'label': '26620.bw.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]]]}
  • id: 35184871
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 13310, 'label': '26620.bw.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 35184882
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 13310, 'label': '26620.bw.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 35184893
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 5, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 5324, 'label': '26620.bw.1e1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 35184897
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 6, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 5324, 'label': '26620.bw.1e2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 35184898
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 7, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 5324, 'label': '26620.bw.1e3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 35184899
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 8, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 5324, 'label': '26620.bw.1e4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 35184900
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 9, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 2662, 'label': '26620.bw.1f1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 35184850
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 10, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 2662, 'label': '26620.bw.1f2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 35184851
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 11, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 2662, 'label': '26620.bw.1f3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 35184852
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 12, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 2662, 'label': '26620.bw.1f4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 35184853
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 13, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 2662, 'label': '26620.bw.1g1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 35184854
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 14, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 2662, 'label': '26620.bw.1g2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 35184855
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 15, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 2662, 'label': '26620.bw.1g3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 35184856
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 16, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 2662, 'label': '26620.bw.1g4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 35184857
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 17, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 2662, 'label': '26620.bw.1h1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 35184858
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 18, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 2662, 'label': '26620.bw.1h2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 35184859
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 19, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 2662, 'label': '26620.bw.1h3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 35184861
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 26620, 'counter': 20, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 2662, 'label': '26620.bw.1h4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 35184862
    {'center': '55.a1.a1', 'center_index': 55, 'center_order': 484, 'counter': 21, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '55.1', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1.a1', 'kernel_order': 484, 'label': '26620.bw.5a1', 'nt': [11, 3], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]]]}
  • id: 35184863
    {'center': '55.a1.a1', 'center_index': 55, 'center_order': 484, 'counter': 22, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '55.1', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1.a1', 'kernel_order': 484, 'label': '26620.bw.5a2', 'nt': [11, 2], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]]]}
  • id: 35184864
    {'center': '55.a1.a1', 'center_index': 55, 'center_order': 484, 'counter': 23, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '110.2', 'image_order': 110, 'indicator': 0, 'kernel': '110.c1.b1', 'kernel_order': 242, 'label': '26620.bw.5b1', 'nt': [22, 5], 'q_character': None, 'values': [[[5, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-5, 0]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-5, 0]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]]]}
  • id: 35184865
    {'center': '55.a1.a1', 'center_index': 55, 'center_order': 484, 'counter': 24, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '110.2', 'image_order': 110, 'indicator': 0, 'kernel': '110.c1.b1', 'kernel_order': 242, 'label': '26620.bw.5b2', 'nt': [22, 2], 'q_character': None, 'values': [[[5, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-5, 0]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-5, 0]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]]]}
  • id: 35184866
    {'center': '55.a1.a1', 'center_index': 55, 'center_order': 484, 'counter': 25, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '110.2', 'image_order': 110, 'indicator': 0, 'kernel': '110.c1.a1', 'kernel_order': 242, 'label': '26620.bw.5c1', 'nt': [22, 5], 'q_character': None, 'values': [[[5, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-5, 0]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]]]}
  • id: 35184867
    {'center': '55.a1.a1', 'center_index': 55, 'center_order': 484, 'counter': 26, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '110.2', 'image_order': 110, 'indicator': 0, 'kernel': '110.c1.a1', 'kernel_order': 242, 'label': '26620.bw.5c2', 'nt': [22, 2], 'q_character': None, 'values': [[[5, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-5, 0]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]]]}
  • id: 35184868
    {'center': '55.a1.a1', 'center_index': 55, 'center_order': 484, 'counter': 27, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '110.2', 'image_order': 110, 'indicator': 0, 'kernel': '110.b1.a1', 'kernel_order': 242, 'label': '26620.bw.5d1', 'nt': [22, 5], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]]]}
  • id: 35184869
    {'center': '55.a1.a1', 'center_index': 55, 'center_order': 484, 'counter': 28, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '110.2', 'image_order': 110, 'indicator': 0, 'kernel': '110.b1.a1', 'kernel_order': 242, 'label': '26620.bw.5d2', 'nt': [22, 2], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]]]}
  • id: 35184870
    {'center': '110.a1.a1', 'center_index': 110, 'center_order': 242, 'counter': 29, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '110.1', 'image_order': 110, 'indicator': 1, 'kernel': '110.a1.a1', 'kernel_order': 242, 'label': '26620.bw.10a', 'nt': [11, 4], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[10, 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]]]}
  • id: 35184872
    {'center': '110.a1.a1', 'center_index': 110, 'center_order': 242, 'counter': 30, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '220.7', 'image_order': 220, 'indicator': 1, 'kernel': '220.a1.a1', 'kernel_order': 121, 'label': '26620.bw.10b', 'nt': [22, 6], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-10, 0]], [[-10, 0]], [[-10, 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]]]}
  • id: 35184873
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 31, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '1210.14', 'image_order': 1210, 'indicator': 0, 'kernel': '1210.a1.a1', 'kernel_order': 22, 'label': '26620.bw.10c1', 'nt': [110, 0], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[-1, 0]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184883
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 40, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '1210.14', 'image_order': 1210, 'indicator': 0, 'kernel': '1210.a1.a1', 'kernel_order': 22, 'label': '26620.bw.10c10', 'nt': [110, 10], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 0]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184874
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 32, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '1210.14', 'image_order': 1210, 'indicator': 0, 'kernel': '1210.a1.a1', 'kernel_order': 22, 'label': '26620.bw.10c2', 'nt': [110, 10], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 0]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184875
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 33, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '1210.14', 'image_order': 1210, 'indicator': 0, 'kernel': '1210.a1.a1', 'kernel_order': 22, 'label': '26620.bw.10c3', 'nt': [110, 0], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-1, 0]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184876
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 34, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '1210.14', 'image_order': 1210, 'indicator': 0, 'kernel': '1210.a1.a1', 'kernel_order': 22, 'label': '26620.bw.10c4', 'nt': [110, 10], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-1, 0]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184877
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 35, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '1210.14', 'image_order': 1210, 'indicator': 0, 'kernel': '1210.a1.a1', 'kernel_order': 22, 'label': '26620.bw.10c5', 'nt': [110, 0], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 0]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184878
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 36, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '1210.14', 'image_order': 1210, 'indicator': 0, 'kernel': '1210.a1.a1', 'kernel_order': 22, 'label': '26620.bw.10c6', 'nt': [110, 10], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-1, 0]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184879
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 37, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '1210.14', 'image_order': 1210, 'indicator': 0, 'kernel': '1210.a1.a1', 'kernel_order': 22, 'label': '26620.bw.10c7', 'nt': [110, 0], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 0]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184880
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 38, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '1210.14', 'image_order': 1210, 'indicator': 0, 'kernel': '1210.a1.a1', 'kernel_order': 22, 'label': '26620.bw.10c8', 'nt': [110, 10], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[-1, 0]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184881
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 39, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '1210.14', 'image_order': 1210, 'indicator': 0, 'kernel': '1210.a1.a1', 'kernel_order': 22, 'label': '26620.bw.10c9', 'nt': [110, 0], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[-1, 0]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184884
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 41, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2420.bc', 'image_order': 2420, 'indicator': 0, 'kernel': '2420.a1.a1', 'kernel_order': 11, 'label': '26620.bw.10d1', 'nt': [220, 0], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[-1, 0]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[-10, 0]], [[-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[1, 1], [1, 2], [1, 5], [1, -5], [-2, -3], [-1, -2]], [[-2, 2], [1, 3], [1, 4], [-1, 5], [1, -5], [1, -4]], [[1, 4], [1, 5], [-1, -5], [1, -4], [1, -3], [-2, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, 4], [-1, -5], [-3, -4], [-1, -2]], [[1, 0], [2, 1], [1, 2], [2, 3], [-1, 4], [1, 5], [2, -5], [1, -4], [2, -3], [1, -2]], [[2, 0], [2, 1], [3, 2], [1, 3], [3, 4], [2, 5], [2, -5], [2, -4], [3, -3], [3, -2]], [[-2, 1], [1, 2], [1, 3], [1, -4], [-1, -3], [1, -2]], [[-1, 0], [-1, 3], [-3, 5], [-1, -5], [-2, -4], [-1, -3], [-1, -2]], [[-1, 0], [-1, 2], [-1, 3], [-2, 4], [-1, 5], [-3, -5], [-1, -3]], [[-1, 0], [-1, 1], [-2, 2], [-3, 3], [-1, 4], [-1, -4], [-1, -3]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184894
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 50, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2420.bc', 'image_order': 2420, 'indicator': 0, 'kernel': '2420.a1.a1', 'kernel_order': 11, 'label': '26620.bw.10d10', 'nt': [220, 10], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 0]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-10, 0]], [[2, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-2, 1], [1, 2], [1, 3], [1, -4], [-1, -3], [1, -2]], [[-1, 0], [-1, 1], [-2, 2], [-3, 3], [-1, 4], [-1, -4], [-1, -3]], [[1, 1], [1, 2], [1, 5], [1, -5], [-2, -3], [-1, -2]], [[-1, 0], [-1, 3], [-3, 5], [-1, -5], [-2, -4], [-1, -3], [-1, -2]], [[-1, 0], [-1, 2], [-1, 3], [-2, 4], [-1, 5], [-3, -5], [-1, -3]], [[1, 0], [2, 1], [1, 2], [2, 3], [-1, 4], [1, 5], [2, -5], [1, -4], [2, -3], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, 4], [-1, -5], [-3, -4], [-1, -2]], [[-2, 2], [1, 3], [1, 4], [-1, 5], [1, -5], [1, -4]], [[1, 4], [1, 5], [-1, -5], [1, -4], [1, -3], [-2, -2]], [[2, 0], [2, 1], [3, 2], [1, 3], [3, 4], [2, 5], [2, -5], [2, -4], [3, -3], [3, -2]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184885
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 42, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2420.bc', 'image_order': 2420, 'indicator': 0, 'kernel': '2420.a1.a1', 'kernel_order': 11, 'label': '26620.bw.10d2', 'nt': [220, 10], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 0]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-10, 0]], [[2, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-1, 0], [-1, 1], [-2, 2], [-3, 3], [-1, 4], [-1, -4], [-1, -3]], [[1, 4], [1, 5], [-1, -5], [1, -4], [1, -3], [-2, -2]], [[-2, 2], [1, 3], [1, 4], [-1, 5], [1, -5], [1, -4]], [[1, 0], [2, 1], [1, 2], [2, 3], [-1, 4], [1, 5], [2, -5], [1, -4], [2, -3], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, 4], [-1, -5], [-3, -4], [-1, -2]], [[-2, 1], [1, 2], [1, 3], [1, -4], [-1, -3], [1, -2]], [[2, 0], [2, 1], [3, 2], [1, 3], [3, 4], [2, 5], [2, -5], [2, -4], [3, -3], [3, -2]], [[-1, 0], [-1, 2], [-1, 3], [-2, 4], [-1, 5], [-3, -5], [-1, -3]], [[-1, 0], [-1, 3], [-3, 5], [-1, -5], [-2, -4], [-1, -3], [-1, -2]], [[1, 1], [1, 2], [1, 5], [1, -5], [-2, -3], [-1, -2]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184886
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 43, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2420.bc', 'image_order': 2420, 'indicator': 0, 'kernel': '2420.a1.a1', 'kernel_order': 11, 'label': '26620.bw.10d3', 'nt': [220, 0], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-1, 0]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[-10, 0]], [[-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 2], [1, 3], [1, 4], [-1, 5], [1, -5], [1, -4]], [[-1, 0], [-1, 2], [-1, 3], [-2, 4], [-1, 5], [-3, -5], [-1, -3]], [[-1, 0], [-1, 3], [-3, 5], [-1, -5], [-2, -4], [-1, -3], [-1, -2]], [[2, 0], [2, 1], [3, 2], [1, 3], [3, 4], [2, 5], [2, -5], [2, -4], [3, -3], [3, -2]], [[-2, 1], [1, 2], [1, 3], [1, -4], [-1, -3], [1, -2]], [[1, 1], [1, 2], [1, 5], [1, -5], [-2, -3], [-1, -2]], [[-1, 0], [-1, 1], [-2, 2], [-3, 3], [-1, 4], [-1, -4], [-1, -3]], [[1, 0], [2, 1], [1, 2], [2, 3], [-1, 4], [1, 5], [2, -5], [1, -4], [2, -3], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, 4], [-1, -5], [-3, -4], [-1, -2]], [[1, 4], [1, 5], [-1, -5], [1, -4], [1, -3], [-2, -2]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184887
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 44, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2420.bc', 'image_order': 2420, 'indicator': 0, 'kernel': '2420.a1.a1', 'kernel_order': 11, 'label': '26620.bw.10d4', 'nt': [220, 10], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-1, 0]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-10, 0]], [[2, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[1, 4], [1, 5], [-1, -5], [1, -4], [1, -3], [-2, -2]], [[-1, 0], [-1, 3], [-3, 5], [-1, -5], [-2, -4], [-1, -3], [-1, -2]], [[-1, 0], [-1, 2], [-1, 3], [-2, 4], [-1, 5], [-3, -5], [-1, -3]], [[-2, 1], [1, 2], [1, 3], [1, -4], [-1, -3], [1, -2]], [[2, 0], [2, 1], [3, 2], [1, 3], [3, 4], [2, 5], [2, -5], [2, -4], [3, -3], [3, -2]], [[-1, 0], [-1, 1], [-2, 2], [-3, 3], [-1, 4], [-1, -4], [-1, -3]], [[1, 1], [1, 2], [1, 5], [1, -5], [-2, -3], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, 4], [-1, -5], [-3, -4], [-1, -2]], [[1, 0], [2, 1], [1, 2], [2, 3], [-1, 4], [1, 5], [2, -5], [1, -4], [2, -3], [1, -2]], [[-2, 2], [1, 3], [1, 4], [-1, 5], [1, -5], [1, -4]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184888
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 45, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2420.bc', 'image_order': 2420, 'indicator': 0, 'kernel': '2420.a1.a1', 'kernel_order': 11, 'label': '26620.bw.10d5', 'nt': [220, 0], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 0]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-10, 0]], [[-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, 4], [-1, -5], [-3, -4], [-1, -2]], [[2, 0], [2, 1], [3, 2], [1, 3], [3, 4], [2, 5], [2, -5], [2, -4], [3, -3], [3, -2]], [[-2, 1], [1, 2], [1, 3], [1, -4], [-1, -3], [1, -2]], [[-2, 2], [1, 3], [1, 4], [-1, 5], [1, -5], [1, -4]], [[1, 4], [1, 5], [-1, -5], [1, -4], [1, -3], [-2, -2]], [[-1, 0], [-1, 2], [-1, 3], [-2, 4], [-1, 5], [-3, -5], [-1, -3]], [[-1, 0], [-1, 3], [-3, 5], [-1, -5], [-2, -4], [-1, -3], [-1, -2]], [[-1, 0], [-1, 1], [-2, 2], [-3, 3], [-1, 4], [-1, -4], [-1, -3]], [[1, 1], [1, 2], [1, 5], [1, -5], [-2, -3], [-1, -2]], [[1, 0], [2, 1], [1, 2], [2, 3], [-1, 4], [1, 5], [2, -5], [1, -4], [2, -3], [1, -2]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184889
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 46, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2420.bc', 'image_order': 2420, 'indicator': 0, 'kernel': '2420.a1.a1', 'kernel_order': 11, 'label': '26620.bw.10d6', 'nt': [220, 10], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-1, 0]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[-10, 0]], [[2, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[1, 0], [2, 1], [1, 2], [2, 3], [-1, 4], [1, 5], [2, -5], [1, -4], [2, -3], [1, -2]], [[-2, 1], [1, 2], [1, 3], [1, -4], [-1, -3], [1, -2]], [[2, 0], [2, 1], [3, 2], [1, 3], [3, 4], [2, 5], [2, -5], [2, -4], [3, -3], [3, -2]], [[1, 4], [1, 5], [-1, -5], [1, -4], [1, -3], [-2, -2]], [[-2, 2], [1, 3], [1, 4], [-1, 5], [1, -5], [1, -4]], [[-1, 0], [-1, 3], [-3, 5], [-1, -5], [-2, -4], [-1, -3], [-1, -2]], [[-1, 0], [-1, 2], [-1, 3], [-2, 4], [-1, 5], [-3, -5], [-1, -3]], [[1, 1], [1, 2], [1, 5], [1, -5], [-2, -3], [-1, -2]], [[-1, 0], [-1, 1], [-2, 2], [-3, 3], [-1, 4], [-1, -4], [-1, -3]], [[-1, 0], [-2, 1], [-1, 2], [-1, 4], [-1, -5], [-3, -4], [-1, -2]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184890
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 47, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2420.bc', 'image_order': 2420, 'indicator': 0, 'kernel': '2420.a1.a1', 'kernel_order': 11, 'label': '26620.bw.10d7', 'nt': [220, 0], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 0]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-10, 0]], [[-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-1, 0], [-1, 2], [-1, 3], [-2, 4], [-1, 5], [-3, -5], [-1, -3]], [[-1, 0], [-2, 1], [-1, 2], [-1, 4], [-1, -5], [-3, -4], [-1, -2]], [[1, 0], [2, 1], [1, 2], [2, 3], [-1, 4], [1, 5], [2, -5], [1, -4], [2, -3], [1, -2]], [[1, 1], [1, 2], [1, 5], [1, -5], [-2, -3], [-1, -2]], [[-1, 0], [-1, 1], [-2, 2], [-3, 3], [-1, 4], [-1, -4], [-1, -3]], [[-2, 2], [1, 3], [1, 4], [-1, 5], [1, -5], [1, -4]], [[1, 4], [1, 5], [-1, -5], [1, -4], [1, -3], [-2, -2]], [[-2, 1], [1, 2], [1, 3], [1, -4], [-1, -3], [1, -2]], [[2, 0], [2, 1], [3, 2], [1, 3], [3, 4], [2, 5], [2, -5], [2, -4], [3, -3], [3, -2]], [[-1, 0], [-1, 3], [-3, 5], [-1, -5], [-2, -4], [-1, -3], [-1, -2]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184891
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 48, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2420.bc', 'image_order': 2420, 'indicator': 0, 'kernel': '2420.a1.a1', 'kernel_order': 11, 'label': '26620.bw.10d8', 'nt': [220, 10], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[-1, 0]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[-10, 0]], [[2, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-1, 0], [-1, 3], [-3, 5], [-1, -5], [-2, -4], [-1, -3], [-1, -2]], [[1, 0], [2, 1], [1, 2], [2, 3], [-1, 4], [1, 5], [2, -5], [1, -4], [2, -3], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, 4], [-1, -5], [-3, -4], [-1, -2]], [[-1, 0], [-1, 1], [-2, 2], [-3, 3], [-1, 4], [-1, -4], [-1, -3]], [[1, 1], [1, 2], [1, 5], [1, -5], [-2, -3], [-1, -2]], [[1, 4], [1, 5], [-1, -5], [1, -4], [1, -3], [-2, -2]], [[-2, 2], [1, 3], [1, 4], [-1, 5], [1, -5], [1, -4]], [[2, 0], [2, 1], [3, 2], [1, 3], [3, 4], [2, 5], [2, -5], [2, -4], [3, -3], [3, -2]], [[-2, 1], [1, 2], [1, 3], [1, -4], [-1, -3], [1, -2]], [[-1, 0], [-1, 2], [-1, 3], [-2, 4], [-1, 5], [-3, -5], [-1, -3]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184892
    {'center': '1210.a1.a1', 'center_index': 1210, 'center_order': 22, 'counter': 49, 'cyclotomic_n': 11, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '2420.bc', 'image_order': 2420, 'indicator': 0, 'kernel': '2420.a1.a1', 'kernel_order': 11, 'label': '26620.bw.10d9', 'nt': [220, 0], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-2, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[2, 2], [-1, 3], [-1, 4], [1, 5], [-1, -5], [-1, -4]], [[-2, 0], [-2, 1], [-3, 2], [-1, 3], [-3, 4], [-2, 5], [-2, -5], [-2, -4], [-3, -3], [-3, -2]], [[1, 0], [2, 1], [1, 2], [1, 4], [1, -5], [3, -4], [1, -2]], [[1, 0], [1, 3], [3, 5], [1, -5], [2, -4], [1, -3], [1, -2]], [[2, 1], [-1, 2], [-1, 3], [-1, -4], [1, -3], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-2, 3], [1, 4], [-1, 5], [-2, -5], [-1, -4], [-2, -3], [-1, -2]], [[1, 0], [1, 2], [1, 3], [2, 4], [1, 5], [3, -5], [1, -3]], [[-1, 1], [-1, 2], [-1, 5], [-1, -5], [2, -3], [1, -2]], [[-1, 4], [-1, 5], [1, -5], [-1, -4], [-1, -3], [2, -2]], [[-1, 0]], [[1, 0], [1, 1], [2, 2], [3, 3], [1, 4], [1, -4], [1, -3]], [[-10, 0]], [[-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[2, 0], [2, 1], [3, 2], [1, 3], [3, 4], [2, 5], [2, -5], [2, -4], [3, -3], [3, -2]], [[1, 1], [1, 2], [1, 5], [1, -5], [-2, -3], [-1, -2]], [[-1, 0], [-1, 1], [-2, 2], [-3, 3], [-1, 4], [-1, -4], [-1, -3]], [[-1, 0], [-1, 2], [-1, 3], [-2, 4], [-1, 5], [-3, -5], [-1, -3]], [[-1, 0], [-1, 3], [-3, 5], [-1, -5], [-2, -4], [-1, -3], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, 4], [-1, -5], [-3, -4], [-1, -2]], [[1, 0], [2, 1], [1, 2], [2, 3], [-1, 4], [1, 5], [2, -5], [1, -4], [2, -3], [1, -2]], [[1, 4], [1, 5], [-1, -5], [1, -4], [1, -3], [-2, -2]], [[-2, 2], [1, 3], [1, 4], [-1, 5], [1, -5], [1, -4]], [[-2, 1], [1, 2], [1, 3], [1, -4], [-1, -3], [1, -2]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184895
    {'center': '13310.a1.a1', 'center_index': 13310, 'center_order': 2, 'counter': 51, 'cyclotomic_n': 1, 'dim': 110, 'faithful': False, 'field': [0, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '13310.bn', 'image_order': 13310, 'indicator': 1, 'kernel': '13310.a1.a1', 'kernel_order': 2, 'label': '26620.bw.110a', 'nt': [121, 0], 'q_character': None, 'values': [[[110, 0]], [[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35184896
    {'center': '13310.a1.a1', 'center_index': 13310, 'center_order': 2, 'counter': 52, 'cyclotomic_n': 1, 'dim': 110, 'faithful': True, 'field': [0, 1], 'group': '26620.bw', 'group_counter': 49, 'group_order': 26620, 'image': None, 'image_isoclass': '26620.bw', 'image_order': 26620, 'indicator': 1, 'kernel': '26620.a1.a1', 'kernel_order': 1, 'label': '26620.bw.110b', 'nt': [242, 0], 'q_character': None, 'values': [[[110, 0]], [[-110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• 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: 181728443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 26620, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 110, 'label': '26620.bw.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': '26620.bw', 'subgroup_hash': 6595041542494513561, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 13310, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '26620.bw.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': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '13310.s', 'subgroup_hash': 3433373542447384720, 'subgroup_order': 13310, 'subgroup_tex': '\\He_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': True, 'centralizer_order': 2, 'characteristic': False, 'core_order': 13310, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '26620.bw.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bn', 'subgroup_hash': 3983263461412134462, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': True, 'centralizer_order': 2, 'characteristic': False, 'core_order': 13310, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '26620.bw.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bn', 'subgroup_hash': 3983263461412134462, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 6655, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 55, 'label': '26620.bw.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6655.24', 'subgroup_hash': 24, 'subgroup_order': 6655, 'subgroup_tex': '\\He_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 181728498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 5324, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 22, 'label': '26620.bw.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5324.o', 'subgroup_hash': 7958113712761253789, 'subgroup_order': 5324, 'subgroup_tex': 'C_{11}^2:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': True, 'core_order': 2662, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '26620.bw.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2662.4', 'subgroup_hash': 4, 'subgroup_order': 2662, 'subgroup_tex': 'C_2\\times \\He_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2662, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '26620.bw.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2662.14', 'subgroup_hash': 14, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^2:C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2662, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '26620.bw.10.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2662.14', 'subgroup_hash': 14, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^2:C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728444
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 242, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.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': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.bk', 'subgroup_hash': 2114084930534278054, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728445
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 484, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.11.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.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': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.r', 'subgroup_hash': 2157492669750725759, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': True, 'core_order': 1331, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 11, 'label': '26620.bw.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1331.3', 'subgroup_hash': 3, 'subgroup_order': 1331, 'subgroup_tex': '\\He_{11}', 'supersolvable': True, 'sylow': 11}
  • id: 181728447
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 242, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.21', 'subgroup_hash': 21, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728448
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 242, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.22.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.20', 'subgroup_hash': 20, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728449
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 121, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.22.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.15', 'subgroup_hash': 15, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728450
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 121, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.22.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.15', 'subgroup_hash': 15, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728451
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 242, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.22.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.10', 'subgroup_hash': 10, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728452
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 242, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.22.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.10', 'subgroup_hash': 10, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728453
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 121, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.5', 'subgroup_hash': 5, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 181728455
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 121, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.44.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.6', 'subgroup_hash': 6, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 181728456
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 484, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '26620.bw.55.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '55.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '55.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 55, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '484.11', 'subgroup_hash': 11, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728457
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 242, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.55.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '484.10', 'subgroup_hash': 10, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728458
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': True, 'core_order': 242, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '26620.bw.110.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '110.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '110.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': 5, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728459
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': True, 'core_order': 242, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '26620.bw.110.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '110.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '110.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': 5, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728460
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 242, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '26620.bw.110.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '110.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '110.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': 4, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728461
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 242, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '26620.bw.110.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '110.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '110.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': 4, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728462
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 22, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.110.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': 5, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728463
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 121, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.110.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.3', 'subgroup_hash': 3, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728464
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 121, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.110.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.3', 'subgroup_hash': 3, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728466
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.121.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.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': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.8', 'subgroup_hash': 8, 'subgroup_order': 220, 'subgroup_tex': 'C_{22}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728467
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 22, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.121.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.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': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728468
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.121.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.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': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728469
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': True, 'core_order': 121, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '26620.bw.220.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '220.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '220.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 181728470
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': True, 'core_order': 121, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '26620.bw.220.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '220.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '220.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 181728471
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 11, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.220.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 181728472
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 22, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.242.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728473
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.242.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728474
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.242.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728475
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.242.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728477
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.242.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728478
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 11, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.242.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728479
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 11, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.242.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728480
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.242.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728481
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.242.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728482
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 11, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.484.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '484.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': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 181728483
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.484.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '484.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': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 181728484
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.484.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '484.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': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 181728485
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 2, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.605.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728486
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 22, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.605.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728488
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.605.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728489
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': True, 'core_order': 22, 'counter': 51, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '26620.bw.1210.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1210.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1210.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1210, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:F_{11}', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728490
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': False, 'core_order': 2, 'counter': 52, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.1210.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728491
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 2, 'counter': 53, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.1210.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728492
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 2, 'counter': 54, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.1210.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728493
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.1210.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728494
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 1, 'counter': 56, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.1210.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 181728495
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 11, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.1210.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728496
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 11, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.1210.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728497
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.1210.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728499
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '26620.bw.1210.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728500
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '26620.bw.1331.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1331.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': 1331, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728501
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': True, 'core_order': 11, 'counter': 62, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '26620.bw.2420.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2420.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2420.bc', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7980475289466481989, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2420, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}:F_{11}', 'simple': True, 'solvable': True, 'special_labels': ['Phi', 'D2', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728502
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': False, 'core_order': 1, 'counter': 63, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.2420.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.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': 2420, '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': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728503
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 1, 'counter': 64, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.2420.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.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': 2420, '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': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728504
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 1, 'counter': 65, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.2420.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.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': 2420, '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': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 181728505
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.2662.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2662.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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728506
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 1, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.2662.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2662.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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728507
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 1, 'counter': 68, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.2662.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2662.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 181728508
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 1, 'counter': 69, 'cyclic': True, 'direct': None, 'hall': 5, 'label': '26620.bw.5324.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5324.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': 5324, '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': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 181728510
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 220, 'characteristic': False, 'core_order': 2, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '26620.bw.6655.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.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': 6655, 'quotient_simple': 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': 2}
  • id: 181728511
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': True, 'central_factor': False, 'centralizer_order': 26620, 'characteristic': True, 'core_order': 2, 'counter': 71, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '26620.bw.13310.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '13310.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '13310.bn', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3983263461412134462, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 13310, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^2:F_{11}', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 181728512
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 220, 'characteristic': False, 'core_order': 1, 'counter': 72, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.13310.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.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': 13310, '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: 181728513
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': False, 'central_factor': False, 'centralizer_order': 220, 'characteristic': False, 'core_order': 1, 'counter': 73, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '26620.bw.13310.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13310, '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: 181728514
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '26620.bw', 'ambient_counter': 49, 'ambient_order': 26620, 'ambient_tex': 'C_2\\times C_{11}^2:F_{11}', 'central': True, 'central_factor': False, 'centralizer_order': 26620, 'characteristic': True, 'core_order': 1, 'counter': 74, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '26620.bw.26620.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '26620.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '26620.bw', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6595041542494513561, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 26620, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{11}^2:F_{11}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D3', 'C6'], '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: 181728443
    {'ambient': '26620.bw', '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': '13310.a1.a1', 'complements': ['26620.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '5.a1.a1', '11.a1.a1', '11.b1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3871, 1615, 4658, 3108, 3347, 3711, 3506, 5637], 'generators': [5, 2420, 2, 4850, 13310, 14630], 'label': '26620.bw.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '13310.bn', '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': '13310.bn'}
  • id: 181728444
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['22.a1.a1', '22.c1.a1', '22.c1.b1', '55.b1.a1', '121.a1.a1', '121.b1.a1'], 'core': '110.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6643, -1, 7315, -1, 6169, -1, 3867, -1], 'generators': [5, 2, 24430, 13310, 2420], 'label': '26620.bw.11.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '11.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1210.15'}
  • id: 181728445
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '11.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['22.b1.a1', '22.d1.a1', '22.d1.b1', '55.a1.a1', '121.b1.a1', '121.c1.a1'], 'core': '55.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3726, -1, 3568, -1, 4253, -1, 6872, -1], 'generators': [5, 2, 7370, 13310, 2420], 'label': '26620.bw.11.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1.a1', 'old_label': '11.b1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1210.10'}
  • id: 181728464
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '110.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.b1.b1', '22.c1.b1', '55.b1.a1'], 'contains': ['220.a1.a1', '1210.e1.b1', '1210.f1.b1'], 'core': '220.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7097, -1, 5678, -1, 6543, -1, 2054, -1], 'generators': [5, 2420, 24430], 'label': '26620.bw.110.e1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '110.e1.b1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.e1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728446
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '20.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.a1.a1', 'complements': ['1331.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1', '10.b1.a1', '10.b1.b1'], 'contains': ['220.a1.a1', '220.b1.a1', '220.c1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1175, 4397, 1244, 5062, 844, 4258, 1224, 6141], 'generators': [5180, 7370], 'label': '26620.bw.20.a1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1', '10.b1.a1', '10.b1.b1'], 'normal_contains': ['220.a1.a1', '220.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '26620.bw', 'quotient_action_image': '10.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1210.14'}
  • id: 181728447
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '22.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '110.a1.a1', '242.a1.a1', '242.b1.a1'], 'core': '110.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6414, -1, 6343, -1, 7200, -1, 1571, -1], 'generators': [13310, 24430, 2420, 2], 'label': '26620.bw.22.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1210.15'}
  • id: 181728448
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.b1.a1'], 'contains': ['44.b1.a1', '110.b1.a1', '242.a1.a1', '242.c1.a1'], 'core': '110.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3668, -1, 3006, -1, 3905, -1, 6315, -1], 'generators': [13310, 110, 2420, 2], 'label': '26620.bw.22.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1.a1', 'old_label': '22.b1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1210.10'}
  • id: 181728449
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '22.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '110.e1.a1', '242.d1.a1', '242.e1.a1'], 'core': '220.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7458, -1, 8466, -1, 6499, -1, 4295, -1], 'generators': [1215, 24430, 2420, 2], 'label': '26620.bw.22.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.c1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1210.15'}
  • id: 181728450
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '22.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '11.a1.a1'], 'contains': ['44.a1.a1', '110.e1.b1', '242.d1.b1', '242.e1.b1'], 'core': '220.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7458, -1, 7315, -1, 6499, -1, 2876, -1], 'generators': [5, 24430, 2420, 2], 'label': '26620.bw.22.c1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.c1.b1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1210.15'}
  • id: 181728451
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '22.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '11.b1.a1'], 'contains': ['44.b1.a1', '110.c1.a1', '242.e1.a1', '242.f1.a1'], 'core': '110.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4698, -1, 4459, -1, 3204, -1, 8002, -1], 'generators': [1215, 7370, 2420, 2], 'label': '26620.bw.22.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1.a1', 'old_label': '22.d1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1210.10'}
  • id: 181728452
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '22.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '11.b1.a1'], 'contains': ['44.b1.a1', '110.c1.b1', '242.e1.b1', '242.f1.b1'], 'core': '110.c1.b1', 'coset_action_label': None, 'count': 11, 'diagramx': [4698, -1, 3708, -1, 3204, -1, 6872, -1], 'generators': [5, 7370, 2420, 2], 'label': '26620.bw.22.d1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1.a1', 'old_label': '22.d1.b1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1210.10'}
  • id: 181728453
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '44.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.a1.a1', '22.c1.a1', '22.c1.b1'], 'contains': ['220.a1.a1', '484.a1.a1', '484.b1.a1'], 'core': '220.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7930, -1, 7406, -1, 7152, -1, 1571, -1], 'generators': [2, 2420, 24430], 'label': '26620.bw.44.a1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.a1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1210.15'}
  • id: 181728454
    {'ambient': '26620.bw', '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': '13310.a1.a1', 'complements': ['13310.b1.b1', '13310.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '10.a1.a1', '22.a1.a1', '22.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3871, 4223, 4282, 6959, 3347, 7143, 1964, 8721], 'generators': [13310, 4850, 7370, 2, 2420], 'label': '26620.bw.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '13310.bn', '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': '13310.bn'}
  • id: 181728455
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '44.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.b1.a1', '22.d1.a1', '22.d1.b1'], 'contains': ['220.b1.a1', '484.a1.a1', '484.c1.a1'], 'core': '220.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4010, -1, 3690, -1, 2514, -1, 7160, -1], 'generators': [2, 2420, 110], 'label': '26620.bw.44.b1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1.a1', 'old_label': '44.b1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1210.10'}
  • id: 181728456
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '55.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': ['484.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '11.b1.a1'], 'contains': ['110.b1.a1', '110.c1.a1', '110.c1.b1', '605.b1.a1', '605.c1.a1'], 'core': '55.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2341, 2733, 2392, 2229, 2492, 3329, 7437, 1114], 'generators': [5, 7370, 2420, 13310], 'label': '26620.bw.55.a1.a1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '55.a1.a1', 'normal_contained_in': ['5.a1.a1'], 'normal_contains': ['110.b1.a1', '110.c1.a1', '110.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '55.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': '55.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '55.a1.a1', 'subgroup_fusion': None, 'weyl_group': '13310.bn'}
  • id: 181728457
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '55.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '11.a1.a1'], 'contains': ['110.a1.a1', '110.e1.a1', '110.e1.b1', '605.a1.a1', '605.b1.a1'], 'core': '110.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5896, -1, 5538, -1, 5842, -1, 3398, -1], 'generators': [5, 24430, 2420, 13310], 'label': '26620.bw.55.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '55.b1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.b1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728458
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '110.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.a1.a1', 'complements': ['242.f1.b1', '242.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '22.a1.a1', '55.b1.a1'], 'contains': ['220.a1.a1', '1210.a1.a1', '1210.b1.a1'], 'core': '110.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5896, 8596, 4834, 9244, 5842, 8824, 804, 7722], 'generators': [13310, 2420, 24430], 'label': '26620.bw.110.a1.a1', 'mobius_quo': 0, 'mobius_sub': -11, 'normal_closure': '110.a1.a1', 'normal_contained_in': ['10.a1.a1'], 'normal_contains': ['220.a1.a1', '1210.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '110.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': '110.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '110.a1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728459
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '110.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.b1.a1', 'complements': ['242.d1.b1', '242.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '22.b1.a1', '55.a1.a1'], 'contains': ['220.b1.a1', '1210.a1.a1', '1210.c1.a1'], 'core': '110.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1584, 5764, 1295, 6107, 1372, 6227, 6423, 4561], 'generators': [13310, 2420, 7370], 'label': '26620.bw.110.b1.a1', 'mobius_quo': 0, 'mobius_sub': -11, 'normal_closure': '110.b1.a1', 'normal_contained_in': ['10.a1.a1', '55.a1.a1'], 'normal_contains': ['220.b1.a1', '1210.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '110.b1.a1', 'projective_image': '13310.bn', 'quotient_action_image': '110.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '110.b1.a1', 'subgroup_fusion': None, 'weyl_group': '110.2'}
  • id: 181728460
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '110.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': ['242.b1.a1', '242.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['10.b1.a1', '22.d1.a1', '55.a1.a1'], 'contains': ['220.b1.a1', '1210.f1.a1', '1210.g1.a1'], 'core': '110.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2683, 2733, 3936, 3273, 1989, 2590, 8002, 2717], 'generators': [1215, 2420, 7370], 'label': '26620.bw.110.c1.a1', 'mobius_quo': 0, 'mobius_sub': -11, 'normal_closure': '110.c1.a1', 'normal_contained_in': ['10.b1.a1', '55.a1.a1'], 'normal_contains': ['220.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '110.c1.a1', 'projective_image': '26620.bw', 'quotient_action_image': '55.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '110.c1.a1', 'subgroup_fusion': None, 'weyl_group': '13310.bn'}
  • id: 181728461
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '110.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': ['242.b1.a1', '242.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['10.b1.b1', '22.d1.b1', '55.a1.a1'], 'contains': ['220.b1.a1', '1210.f1.b1', '1210.g1.b1'], 'core': '110.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2683, 2733, 1914, 1265, 1989, 2590, 7577, 1114], 'generators': [5, 2420, 7370], 'label': '26620.bw.110.c1.b1', 'mobius_quo': 0, 'mobius_sub': -11, 'normal_closure': '110.c1.b1', 'normal_contained_in': ['10.b1.b1', '55.a1.a1'], 'normal_contains': ['220.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '110.c1.b1', 'projective_image': '26620.bw', 'quotient_action_image': '55.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '110.c1.b1', 'subgroup_fusion': None, 'weyl_group': '13310.bn'}
  • id: 181728462
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '110.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1'], 'contains': ['220.c1.a1', '1210.a1.a1', '1210.d1.a1'], 'core': '1210.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [387, -1, 316, -1, 316, -1, 251, -1], 'generators': [13310, 2420, 5180], 'label': '26620.bw.110.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1.a1', 'old_label': '110.d1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.d1.a1', 'subgroup_fusion': None, 'weyl_group': '11.1'}
  • id: 181728463
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '110.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.b1.a1', '22.c1.a1', '55.b1.a1'], 'contains': ['220.a1.a1', '1210.e1.a1', '1210.f1.a1'], 'core': '220.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7097, -1, 7921, -1, 6543, -1, 2611, -1], 'generators': [1215, 2420, 24430], 'label': '26620.bw.110.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '110.e1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.e1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728465
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': ['13310.a1.a1', '13310.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '10.b1.a1', '22.c1.a1', '22.d1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4784, 1615, 5600, 4168, 2602, 936, 4447, 6493], 'generators': [1215, 560, 9790, 2, 2420], 'label': '26620.bw.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '10.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '26620.bw', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '13310.bn'}
  • id: 181728466
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '121.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.a1.a1'], 'contains': ['242.b1.a1', '242.d1.a1', '242.d1.b1', '605.a1.a1', '1331.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8502, -1, 8257, -1, 8308, -1, 4852, -1], 'generators': [5, 2, 14750, 13310], 'label': '26620.bw.121.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '121.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.a1.a1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
  • id: 181728467
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '121.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.a1.a1', '11.b1.a1'], 'contains': ['242.a1.a1', '242.e1.a1', '242.e1.b1', '605.b1.a1', '1331.a1.a1'], 'core': '1210.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [6409, -1, 6432, -1, 5193, -1, 5764, -1], 'generators': [5, 2, 2420, 13310], 'label': '26620.bw.121.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.b1.a1', 'old_label': '121.b1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.b1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728468
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '121.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.b1.a1'], 'contains': ['242.c1.a1', '242.f1.a1', '242.f1.b1', '605.c1.a1', '1331.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [3051, -1, 3245, -1, 4598, -1, 9180, -1], 'generators': [5, 2, 9790, 13310], 'label': '26620.bw.121.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1.a1', 'old_label': '121.c1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.c1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728469
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '220.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.a1.a1', 'complements': ['121.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '44.a1.a1', '110.a1.a1', '110.e1.a1', '110.e1.b1'], 'contains': ['2420.a1.a1', '2420.b1.a1'], 'core': '220.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5617, 7180, 4930, 7675, 5141, 5748, 2054, 6141], 'generators': [24430, 2420], 'label': '26620.bw.220.a1.a1', 'mobius_quo': 0, 'mobius_sub': 22, 'normal_closure': '220.a1.a1', 'normal_contained_in': ['20.a1.a1', '110.a1.a1'], 'normal_contains': ['2420.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '220.a1.a1', 'projective_image': '26620.bw', 'quotient_action_image': '110.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '220.a1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728470
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '220.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.b1.a1', 'complements': ['121.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '44.b1.a1', '110.b1.a1', '110.c1.a1', '110.c1.b1'], 'contains': ['2420.a1.a1', '2420.c1.a1'], 'core': '220.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1252, 4596, 1060, 4539, 2253, 4258, 6423, 4561], 'generators': [7370, 2420], 'label': '26620.bw.220.b1.a1', 'mobius_quo': 0, 'mobius_sub': 22, 'normal_closure': '220.b1.a1', 'normal_contained_in': ['20.a1.a1', '110.b1.a1', '110.c1.a1', '110.c1.b1'], 'normal_contains': ['2420.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '220.b1.a1', 'projective_image': '26620.bw', 'quotient_action_image': '110.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '220.b1.a1', 'subgroup_fusion': None, 'weyl_group': '110.2'}
  • id: 181728471
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '220.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '110.d1.a1'], 'contains': ['2420.a1.a1', '2420.d1.a1'], 'core': '2420.a1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [585, -1, 515, -1, 1218, -1, 1480, -1], 'generators': [5180, 2420], 'label': '26620.bw.220.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1.a1', 'old_label': '220.c1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.c1.a1', 'subgroup_fusion': None, 'weyl_group': '11.1'}
  • id: 181728472
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '242.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.a1.a1', '22.b1.a1', '121.b1.a1'], 'contains': ['484.a1.a1', '1210.a1.a1', '2662.a1.a1'], 'core': '1210.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5243, -1, 5357, -1, 5138, -1, 5347, -1], 'generators': [13310, 2420, 2], 'label': '26620.bw.242.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.b1.a1', 'old_label': '242.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.a1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728473
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '242.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.a1.a1', '121.a1.a1'], 'contains': ['484.b1.a1', '1210.b1.a1', '2662.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8222, -1, 7697, -1, 9677, -1, 3174, -1], 'generators': [13310, 14750, 2], 'label': '26620.bw.242.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '242.b1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.b1.a1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
  • id: 181728474
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '242.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.b1.a1', '121.c1.a1'], 'contains': ['484.c1.a1', '1210.c1.a1', '2662.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [3119, -1, 3017, -1, 3776, -1, 8976, -1], 'generators': [13310, 9790, 2], 'label': '26620.bw.242.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1.a1', 'old_label': '242.c1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.c1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728475
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '242.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.c1.a1', '121.a1.a1'], 'contains': ['484.b1.a1', '1210.e1.a1', '2662.b1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9438, -1, 9684, -1, 8965, -1, 4782, -1], 'generators': [13315, 14750, 2], 'label': '26620.bw.242.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '242.d1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.d1.a1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
  • id: 181728476
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': ['13310.a1.a1', '13310.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '10.b1.b1', '22.c1.b1', '22.d1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4784, 1615, 5030, 2035, 2602, 936, 2556, 4791], 'generators': [5, 560, 9790, 2, 2420], 'label': '26620.bw.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '10.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '26620.bw', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '13310.bn'}
  • id: 181728477
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '242.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.c1.b1', '121.a1.a1'], 'contains': ['484.b1.a1', '1210.e1.b1', '2662.b1.b1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9438, -1, 8691, -1, 8965, -1, 3739, -1], 'generators': [5, 14750, 2], 'label': '26620.bw.242.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '242.d1.b1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.d1.b1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
  • id: 181728478
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '242.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.c1.a1', '22.d1.a1', '121.b1.a1'], 'contains': ['484.a1.a1', '1210.f1.a1', '2662.b1.a1'], 'core': '2420.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [6562, -1, 6898, -1, 4620, -1, 6828, -1], 'generators': [1215, 2420, 2], 'label': '26620.bw.242.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.b1.a1', 'old_label': '242.e1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.e1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728479
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '242.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.c1.b1', '22.d1.b1', '121.b1.a1'], 'contains': ['484.a1.a1', '1210.f1.b1', '2662.b1.b1'], 'core': '2420.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [6562, -1, 6295, -1, 4620, -1, 5758, -1], 'generators': [5, 2420, 2], 'label': '26620.bw.242.e1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.b1.a1', 'old_label': '242.e1.b1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.e1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728480
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '242.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.d1.a1', '121.c1.a1'], 'contains': ['484.c1.a1', '1210.g1.a1', '2662.b1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [3925, -1, 4000, -1, 3259, -1, 9899, -1], 'generators': [13315, 9790, 2], 'label': '26620.bw.242.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1.a1', 'old_label': '242.f1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.f1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728481
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '242.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.d1.b1', '121.c1.a1'], 'contains': ['484.c1.a1', '1210.g1.b1', '2662.b1.b1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [3925, -1, 3536, -1, 3259, -1, 9386, -1], 'generators': [5, 9790, 2], 'label': '26620.bw.242.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1.a1', 'old_label': '242.f1.b1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.f1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728482
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '484.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.a1.a1', '44.b1.a1', '242.a1.a1', '242.e1.a1', '242.e1.b1'], 'contains': ['2420.a1.a1', '5324.a1.a1'], 'core': '2420.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [6634, -1, 6633, -1, 4723, -1, 5572, -1], 'generators': [2, 2420], 'label': '26620.bw.484.a1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.b1.a1', 'old_label': '484.a1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.a1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728483
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '484.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.a1.a1', '242.b1.a1', '242.d1.a1', '242.d1.b1'], 'contains': ['2420.b1.a1', '5324.a1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9613, -1, 8617, -1, 7156, -1, 3739, -1], 'generators': [2, 14750], 'label': '26620.bw.484.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '484.b1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.b1.a1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
  • id: 181728484
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '484.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.b1.a1', '242.c1.a1', '242.f1.a1', '242.f1.b1'], 'contains': ['2420.c1.a1', '5324.a1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [3681, -1, 3440, -1, 3633, -1, 8023, -1], 'generators': [2, 9790], 'label': '26620.bw.484.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1.a1', 'old_label': '484.c1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.c1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728485
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '605.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.b1.a1', '121.a1.a1'], 'contains': ['1210.b1.a1', '1210.e1.a1', '1210.e1.b1', '6655.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8290, -1, 6854, -1, 8308, -1, 4261, -1], 'generators': [5, 14750, 13310], 'label': '26620.bw.605.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '605.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.a1.a1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
  • id: 181728486
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '605.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.a1.a1', '55.b1.a1', '121.b1.a1'], 'contains': ['1210.a1.a1', '1210.f1.a1', '1210.f1.b1', '6655.a1.a1'], 'core': '1210.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4839, -1, 3591, -1, 4297, -1, 6015, -1], 'generators': [5, 2420, 13310], 'label': '26620.bw.605.b1.a1', 'mobius_quo': None, 'mobius_sub': -11, 'normal_closure': '55.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '605.b1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.b1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728487
    {'ambient': '26620.bw', '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': '13310.a1.a1', 'complements': ['6655.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['20.a1.a1', '44.a1.a1', '44.b1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4356, 4223, 5089, 5310, 1850, 5721, 2072, 8260], 'generators': [2, 12210, 2420, 560], 'label': '26620.bw.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normal_contains': ['20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '26620.bw', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '13310.bn'}
  • id: 181728488
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '605.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.a1.a1', '121.c1.a1'], 'contains': ['1210.c1.a1', '1210.g1.a1', '1210.g1.b1', '6655.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [2655, -1, 1847, -1, 2936, -1, 9643, -1], 'generators': [5, 7370, 13310], 'label': '26620.bw.605.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1.a1', 'old_label': '605.c1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.c1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728489
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '1210.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['110.a1.a1', '110.b1.a1', '110.d1.a1', '242.a1.a1', '605.b1.a1'], 'contains': ['2420.a1.a1', '13310.a1.a1'], 'core': '1210.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3520, 7254, 3348, 7896, 4015, 7102, 5269, 7228], 'generators': [13310, 2420], 'label': '26620.bw.1210.a1.a1', 'mobius_quo': 1, 'mobius_sub': 121, 'normal_closure': '1210.a1.a1', 'normal_contained_in': ['110.a1.a1', '110.b1.a1'], 'normal_contains': ['2420.a1.a1', '13310.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1210.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': '10.2', 'quotient_action_kernel': '121.2', 'quotient_action_kernel_order': 121, 'quotient_fusion': None, 'short_label': '1210.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 181728490
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '1210.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.a1.a1', '242.b1.a1', '605.a1.a1'], 'contains': ['2420.b1.a1', '13310.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7763, -1, 6064, -1, 6452, -1, 3436, -1], 'generators': [13310, 24430], 'label': '26620.bw.1210.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '1210.b1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.b1.a1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
  • id: 181728491
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '1210.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.b1.a1', '242.c1.a1', '605.c1.a1'], 'contains': ['2420.c1.a1', '13310.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2353, -1, 1424, -1, 2925, -1, 7720, -1], 'generators': [13310, 7370], 'label': '26620.bw.1210.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1.a1', 'old_label': '1210.c1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.c1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 181728492
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '1210.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.d1.a1'], 'contains': ['2420.d1.a1', '13310.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [711, -1, 614, -1, 855, -1, 1192, -1], 'generators': [13310, 5180], 'label': '26620.bw.1210.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '110.d1.a1', 'old_label': '1210.d1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728493
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '1210.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.e1.a1', '242.d1.a1', '605.a1.a1'], 'contains': ['2420.b1.a1', '13310.b1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8633, -1, 8760, -1, 6774, -1, 4298, -1], 'generators': [1215, 14750], 'label': '26620.bw.1210.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1210.e1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.e1.a1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
  • id: 181728494
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '1210.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.e1.b1', '242.d1.b1', '605.a1.a1'], 'contains': ['2420.b1.a1', '13310.b1.b1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8633, -1, 6994, -1, 6774, -1, 4042, -1], 'generators': [5, 14750], 'label': '26620.bw.1210.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1210.e1.b1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.e1.b1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
  • id: 181728495
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '1210.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.c1.a1', '110.e1.a1', '242.e1.a1', '605.b1.a1'], 'contains': ['2420.a1.a1', '13310.b1.a1'], 'core': '2420.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5153, -1, 5177, -1, 4341, -1, 6134, -1], 'generators': [1215, 2420], 'label': '26620.bw.1210.f1.a1', 'mobius_quo': None, 'mobius_sub': 11, 'normal_closure': '110.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '1210.f1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.f1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728496
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '1210.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.c1.b1', '110.e1.b1', '242.e1.b1', '605.b1.a1'], 'contains': ['2420.a1.a1', '13310.b1.b1'], 'core': '2420.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5153, -1, 3676, -1, 4341, -1, 5875, -1], 'generators': [5, 2420], 'label': '26620.bw.1210.f1.b1', 'mobius_quo': None, 'mobius_sub': 11, 'normal_closure': '110.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '1210.f1.b1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.f1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728497
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '1210.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.c1.a1', '242.f1.a1', '605.c1.a1'], 'contains': ['2420.c1.a1', '13310.b1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [4092, -1, 4147, -1, 3252, -1, 8585, -1], 'generators': [1215, 7370], 'label': '26620.bw.1210.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1.a1', 'old_label': '1210.g1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.g1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728498
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': ['5324.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.b1.a1', '10.b1.b1', '55.a1.a1', '55.b1.a1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2908, 2597, 3017, 2173, 1857, 3711, 3147, 2563], 'generators': [5, 5180, 17050, 13310, 2420], 'label': '26620.bw.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.a1', '10.b1.a1', '10.b1.b1', '55.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': '5.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '13310.bn'}
  • id: 181728499
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '1210.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.c1.b1', '242.f1.b1', '605.c1.a1'], 'contains': ['2420.c1.a1', '13310.b1.b1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [4092, -1, 1847, -1, 3252, -1, 8326, -1], 'generators': [5, 7370], 'label': '26620.bw.1210.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1.a1', 'old_label': '1210.g1.b1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.g1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 181728500
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '1331.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['121.a1.a1', '121.b1.a1', '121.c1.a1'], 'contains': ['2662.a1.a1', '2662.b1.a1', '2662.b1.b1', '6655.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [6508, -1, 5732, -1, 7710, -1, 8454, -1], 'generators': [5, 2, 13310], 'label': '26620.bw.1331.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1.a1', 'old_label': '1331.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728501
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '2420.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['220.a1.a1', '220.b1.a1', '220.c1.a1', '484.a1.a1', '1210.a1.a1', '1210.f1.a1', '1210.f1.b1'], 'contains': ['26620.a1.a1'], 'core': '2420.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3524, 6472, 3237, 7028, 4341, 5871, 5723, 6240], 'generators': [2420], 'label': '26620.bw.2420.a1.a1', 'mobius_quo': -1, 'mobius_sub': -242, 'normal_closure': '2420.a1.a1', 'normal_contained_in': ['220.a1.a1', '220.b1.a1', '1210.a1.a1'], 'normal_contains': ['26620.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2420.a1.a1', 'projective_image': '26620.bw', 'quotient_action_image': '10.2', 'quotient_action_kernel': '242.5', 'quotient_action_kernel_order': 242, 'quotient_fusion': None, 'short_label': '2420.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 181728502
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '2420.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.a1.a1', '484.b1.a1', '1210.b1.a1', '1210.e1.a1', '1210.e1.b1'], 'contains': ['26620.a1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8745, -1, 6597, -1, 6452, -1, 3890, -1], 'generators': [24430], 'label': '26620.bw.2420.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '220.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '2420.b1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.b1.a1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
  • id: 181728503
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '2420.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.b1.a1', '484.c1.a1', '1210.c1.a1', '1210.g1.a1', '1210.g1.b1'], 'contains': ['26620.a1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2353, -1, 1586, -1, 3252, -1, 7871, -1], 'generators': [7370], 'label': '26620.bw.2420.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '220.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1.a1', 'old_label': '2420.c1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.c1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 181728504
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '2420.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.c1.a1', '1210.d1.a1'], 'contains': ['26620.a1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [711, -1, 614, -1, 1218, -1, 1480, -1], 'generators': [5180], 'label': '26620.bw.2420.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '110.d1.a1', 'old_label': '2420.d1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728505
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '2662.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['242.a1.a1', '242.b1.a1', '242.c1.a1', '1331.a1.a1'], 'contains': ['5324.a1.a1', '13310.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [5936, -1, 4662, -1, 6128, -1, 6711, -1], 'generators': [13310, 2], 'label': '26620.bw.2662.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1.a1', 'old_label': '2662.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728506
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '2662.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['242.d1.a1', '242.e1.a1', '242.f1.a1', '1331.a1.a1'], 'contains': ['5324.a1.a1', '13310.b1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [6850, -1, 7458, -1, 5805, -1, 7463, -1], 'generators': [13315, 2], 'label': '26620.bw.2662.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1.a1', 'old_label': '2662.b1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728507
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '2662.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['242.d1.b1', '242.e1.b1', '242.f1.b1', '1331.a1.a1'], 'contains': ['5324.a1.a1', '13310.b1.b1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [6850, -1, 6012, -1, 5805, -1, 6968, -1], 'generators': [5, 2], 'label': '26620.bw.2662.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1.a1', 'old_label': '2662.b1.b1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728508
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '5324.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['484.a1.a1', '484.b1.a1', '484.c1.a1', '2662.a1.a1', '2662.b1.a1', '2662.b1.b1'], 'contains': ['26620.a1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [7476, -1, 6446, -1, 5706, -1, 6723, -1], 'generators': [2], 'label': '26620.bw.5324.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1.a1', 'old_label': '5324.a1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5324.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728509
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.a1.a1', 'complements': ['2662.b1.b1', '2662.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '110.a1.a1', '110.b1.a1', '110.d1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1796, 6000, 1509, 6932, 741, 8100, 935, 6350], 'generators': [13310, 7370, 2420, 5180], 'label': '26620.bw.10.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '110.a1.a1', '110.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1210.14'}
  • id: 181728510
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '6655.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.a1.a1', '605.b1.a1', '605.c1.a1', '1331.a1.a1'], 'contains': ['13310.a1.a1', '13310.b1.a1', '13310.b1.b1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [4839, -1, 4459, -1, 5494, -1, 7215, -1], 'generators': [5, 13310], 'label': '26620.bw.6655.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '6655.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728511
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '13310.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['2.b1.b1', '2.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1210.a1.a1', '1210.b1.a1', '1210.c1.a1', '1210.d1.a1', '2662.a1.a1', '6655.a1.a1'], 'contains': ['26620.a1.a1'], 'core': '13310.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3933, 7205, 3679, 7840, 4932, 7033, 6513, 7173], 'generators': [13310], 'label': '26620.bw.13310.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '13310.a1.a1', 'normal_contained_in': ['1210.a1.a1'], 'normal_contains': ['26620.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '13310.a1.a1', 'projective_image': '13310.bn', 'quotient_action_image': '1.1', 'quotient_action_kernel': '13310.bn', 'quotient_action_kernel_order': 13310, 'quotient_fusion': None, 'short_label': '13310.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728512
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '13310.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1210.e1.a1', '1210.f1.a1', '1210.g1.a1', '2662.b1.a1', '6655.a1.a1'], 'contains': ['26620.a1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5229, -1, 5453, -1, 5343, -1, 7186, -1], 'generators': [1215], 'label': '26620.bw.13310.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '13310.b1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728513
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '13310.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1210.e1.b1', '1210.f1.b1', '1210.g1.b1', '2662.b1.b1', '6655.a1.a1'], 'contains': ['26620.a1.a1'], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5229, -1, 4265, -1, 5343, -1, 6944, -1], 'generators': [5], 'label': '26620.bw.13310.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '13310.b1.b1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728514
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '26620.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': ['2420.a1.a1', '2420.b1.a1', '2420.c1.a1', '2420.d1.a1', '5324.a1.a1', '13310.a1.a1', '13310.b1.a1', '13310.b1.b1'], 'contains': [], 'core': '26620.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3933, 6857, 3874, 7455, 4932, 6418, 6618, 6679], 'generators': [], 'label': '26620.bw.26620.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '26620.a1.a1', 'normal_contained_in': ['2420.a1.a1', '13310.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '26620.a1.a1', 'projective_image': '26620.bw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181728515
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': ['2662.a1.a1', '2662.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '110.c1.a1', '110.e1.a1'], 'core': '10.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2957, 1404, 5508, 4016, 1380, 936, 3864, 4440], 'generators': [1215, 17050, 2420, 5180], 'label': '26620.bw.10.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.a1', 'normal_contained_in': ['2.b1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '110.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '26620.bw', 'quotient_action_image': '5.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '13310.bn'}
  • id: 181728516
    {'ambient': '26620.bw', 'aut_centralizer_order': None, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1.a1', 'complements': ['2662.a1.a1', '2662.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '5.a1.a1'], 'contains': ['20.a1.a1', '110.c1.b1', '110.e1.b1'], 'core': '10.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2957, 1404, 2149, 756, 1380, 936, 2445, 3035], 'generators': [5, 17050, 2420, 5180], 'label': '26620.bw.10.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.b1', 'normal_contained_in': ['2.b1.b1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '110.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.b1', 'projective_image': '26620.bw', 'quotient_action_image': '5.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '10.b1.b1', 'subgroup_fusion': None, 'weyl_group': '13310.bn'}