Abstract group data - 704.1205

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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': '16.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [20, 20, 10, 4, 10, 4, 10, 10], 'aut_gens': [[1, 2, 4, 8], [355, 354, 4, 298], [355, 354, 612, 634], [355, 2, 198, 568], [179, 354, 4, 10], [529, 2, 132, 408], [179, 354, 550, 170], [353, 2, 452, 584], [353, 2, 678, 298]], 'aut_group': None, 'aut_hash': 1156355095754212131, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 56320, 'aut_permdeg': 60, 'aut_perms': [4298265690900194179060470134149833242721406604826403928976280035223906784675189402, 3048809679528192289913427412206235830319563670225605551769761109479626038823463532, 4158343260925294885669982690517334222388064920266365621239952182437813276072589087, 132357404148958339097381950076666658010848979804020996783835652243663783581432039, 2699438300431468340768385511371883896293065242054339437661769589908319082666861130, 549063285732688122628181000813656079387469514511467160221524571056813461714749482, 5251804294547411713851842269433731404259406978804482707440378944127990112570473271, 1368057611469476396656804008575000155824703754633747343739618971321393335644443591], 'aut_phi_ratio': 176.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 4, 2, 2], [2, 22, 2, 1], [2, 44, 2, 1], [4, 2, 1, 2], [4, 22, 2, 1], [4, 44, 2, 1], [8, 4, 2, 1], [8, 44, 2, 1], [11, 2, 5, 1], [22, 2, 5, 1], [22, 2, 10, 1], [22, 8, 10, 2], [44, 4, 5, 2], [88, 4, 20, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{22}.(C_2^5\\times C_{10}).C_2^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '128.1578', 'autcent_hash': 1578, 'autcent_nilpotent': True, 'autcent_order': 128, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3\\wr C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '440.42', 'autcentquo_hash': 42, 'autcentquo_nilpotent': False, 'autcentquo_order': 440, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^2\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 4, 4], [2, 22, 2], [2, 44, 2], [4, 2, 2], [4, 22, 2], [4, 44, 2], [8, 4, 2], [8, 44, 2], [11, 2, 5], [22, 2, 15], [22, 8, 20], [44, 4, 10], [88, 4, 20]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '176.31', 'commutator_count': 1, 'commutator_label': '44.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '11.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1205, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['352.106', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 4, 1, 4], [2, 22, 1, 2], [2, 44, 1, 2], [4, 2, 1, 2], [4, 22, 1, 2], [4, 44, 1, 2], [8, 4, 1, 2], [8, 44, 1, 2], [11, 2, 5, 1], [22, 2, 5, 3], [22, 8, 5, 4], [44, 4, 5, 2], [88, 4, 10, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1340640, 'exponent': 88, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '176.41', 'hash': 1205, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 44, 'inner_gen_orders': [2, 1, 2, 44], 'inner_gens': [[1, 2, 356, 184], [1, 2, 4, 8], [353, 2, 4, 168], [529, 2, 548, 8]], 'inner_hash': 31, 'inner_nilpotent': False, 'inner_order': 176, 'inner_split': True, 'inner_tex': 'D_4\\times D_{11}', 'inner_used': [1, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 44], [4, 32]], 'label': '704.1205', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D8:D22', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 21, 'number_characteristic_subgroups': 33, 'number_conjugacy_classes': 92, 'number_divisions': 34, 'number_normal_subgroups': 103, 'number_subgroup_autclasses': 148, 'number_subgroup_classes': 298, 'number_subgroups': 2480, 'old_label': None, 'order': 704, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 151], [4, 136], [8, 96], [11, 10], [22, 190], [44, 40], [88, 80]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 20, 'outer_gen_orders': [2, 2, 2, 2, 20], 'outer_gen_pows': [0, 0, 0, 0, 0], 'outer_gens': [[353, 2, 358, 10], [3, 2, 356, 8], [355, 2, 358, 520], [1, 2, 356, 520], [355, 354, 358, 200]], 'outer_group': '320.1523', 'outer_hash': 1523, 'outer_nilpotent': True, 'outer_order': 320, 'outer_permdeg': 15, 'outer_perms': [186810624720, 3628800, 720, 274467957840, 6230780704], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^5:C_{10}', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 4], [4, 2], [10, 8], [20, 2], [40, 2]], 'representations': {'PC': {'code': 513915494334723987750864342995445040000009, 'gens': [1, 2, 3, 4], 'pres': [7, -2, -2, -2, -2, -2, -2, -11, 7478, 5155, 1193, 80, 12884, 2958, 102, 7075, 124, 7860]}, 'GLZN': {'d': 2, 'p': 88, 'gens': [1022231, 682177, 683409, 30666285, 14317953, 29647023, 685345]}, 'Perm': {'d': 21, 'gens': [122002101778601574, 368209, 363452, 12341, 18523, 5329, 2676906211693190400]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_8:D_{22}', 'transitive_degree': 176, '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: 140120948
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 1205, 'group_order': 704, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 140120959
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 1205, 'group_order': 704, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 352, 'size': 1}
  • id: 140120970
    {'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 1205, 'group_order': 704, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 2, 'size': 1}
  • id: 140120981
    {'aut_label': '2B', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 1205, 'group_order': 704, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 354, 'size': 1}
  • id: 140120992
    {'aut_label': '2D', 'centralizer': '4.p1', 'counter': 5, 'group_counter': 1205, 'group_order': 704, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 1, 'size': 4}
  • id: 140121003
    {'aut_label': '2E', 'centralizer': '4.q1', 'counter': 6, 'group_counter': 1205, 'group_order': 704, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 265, 'size': 4}
  • id: 140121014
    {'aut_label': '2D', 'centralizer': '4.p1', 'counter': 7, 'group_counter': 1205, 'group_order': 704, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 3, 'size': 4}
  • id: 140121025
    {'aut_label': '2E', 'centralizer': '4.q1', 'counter': 8, 'group_counter': 1205, 'group_order': 704, 'label': '2G', 'order': 2, 'powers': [1, 8, 8], 'representative': 267, 'size': 4}
  • id: 140121036
    {'aut_label': '2H', 'centralizer': '22.d1', 'counter': 9, 'group_counter': 1205, 'group_order': 704, 'label': '2H', 'order': 2, 'powers': [1, 9, 9], 'representative': 4, 'size': 22}
  • id: 140120949
    {'aut_label': '2H', 'centralizer': '22.d1', 'counter': 10, 'group_counter': 1205, 'group_order': 704, 'label': '2I', 'order': 2, 'powers': [1, 10, 10], 'representative': 6, 'size': 22}
  • id: 140120950
    {'aut_label': '2J', 'centralizer': '44.g1', 'counter': 11, 'group_counter': 1205, 'group_order': 704, 'label': '2J', 'order': 2, 'powers': [1, 11, 11], 'representative': 207, 'size': 44}
  • id: 140120951
    {'aut_label': '2J', 'centralizer': '44.g1', 'counter': 12, 'group_counter': 1205, 'group_order': 704, 'label': '2K', 'order': 2, 'powers': [1, 12, 12], 'representative': 269, 'size': 44}
  • id: 140120952
    {'aut_label': '4A', 'centralizer': '2.f1', 'counter': 13, 'group_counter': 1205, 'group_order': 704, 'label': '4A', 'order': 4, 'powers': [2, 13, 13], 'representative': 178, 'size': 2}
  • id: 140120953
    {'aut_label': '4B', 'centralizer': '2.f1', 'counter': 14, 'group_counter': 1205, 'group_order': 704, 'label': '4B', 'order': 4, 'powers': [2, 14, 14], 'representative': 176, 'size': 2}
  • id: 140120954
    {'aut_label': '4C', 'centralizer': '22.b1', 'counter': 15, 'group_counter': 1205, 'group_order': 704, 'label': '4C', 'order': 4, 'powers': [2, 15, 15], 'representative': 20, 'size': 22}
  • id: 140120955
    {'aut_label': '4C', 'centralizer': '22.b1', 'counter': 16, 'group_counter': 1205, 'group_order': 704, 'label': '4D', 'order': 4, 'powers': [2, 16, 16], 'representative': 22, 'size': 22}
  • id: 140120956
    {'aut_label': '4E', 'centralizer': '44.f1', 'counter': 17, 'group_counter': 1205, 'group_order': 704, 'label': '4E', 'order': 4, 'powers': [2, 17, 17], 'representative': 357, 'size': 44}
  • id: 140120957
    {'aut_label': '4E', 'centralizer': '44.f1', 'counter': 18, 'group_counter': 1205, 'group_order': 704, 'label': '4F', 'order': 4, 'powers': [2, 18, 18], 'representative': 679, 'size': 44}
  • id: 140120958
    {'aut_label': '8A', 'centralizer': '4.f1', 'counter': 19, 'group_counter': 1205, 'group_order': 704, 'label': '8A', 'order': 8, 'powers': [14, 19, 19], 'representative': 88, 'size': 4}
  • id: 140120960
    {'aut_label': '8A', 'centralizer': '4.f1', 'counter': 20, 'group_counter': 1205, 'group_order': 704, 'label': '8B', 'order': 8, 'powers': [14, 20, 20], 'representative': 90, 'size': 4}
  • id: 140120961
    {'aut_label': '8C', 'centralizer': '44.l1', 'counter': 21, 'group_counter': 1205, 'group_order': 704, 'label': '8C', 'order': 8, 'powers': [14, 21, 21], 'representative': 188, 'size': 44}
  • id: 140120962
    {'aut_label': '8C', 'centralizer': '44.l1', 'counter': 22, 'group_counter': 1205, 'group_order': 704, 'label': '8D', 'order': 8, 'powers': [14, 22, 22], 'representative': 462, 'size': 44}
  • id: 140120963
    {'aut_label': '11A1', 'centralizer': '2.a1', 'counter': 23, 'group_counter': 1205, 'group_order': 704, 'label': '11A1', 'order': 11, 'powers': [24, 27, 1], 'representative': 128, 'size': 2}
  • id: 140120964
    {'aut_label': '11A1', 'centralizer': '2.a1', 'counter': 24, 'group_counter': 1205, 'group_order': 704, 'label': '11A2', 'order': 11, 'powers': [26, 23, 1], 'representative': 256, 'size': 2}
  • id: 140120965
    {'aut_label': '11A1', 'centralizer': '2.a1', 'counter': 25, 'group_counter': 1205, 'group_order': 704, 'label': '11A3', 'order': 11, 'powers': [27, 26, 1], 'representative': 384, 'size': 2}
  • id: 140120966
    {'aut_label': '11A1', 'centralizer': '2.a1', 'counter': 26, 'group_counter': 1205, 'group_order': 704, 'label': '11A4', 'order': 11, 'powers': [25, 24, 1], 'representative': 512, 'size': 2}
  • id: 140120967
    {'aut_label': '11A1', 'centralizer': '2.a1', 'counter': 27, 'group_counter': 1205, 'group_order': 704, 'label': '11A5', 'order': 11, 'powers': [23, 25, 1], 'representative': 640, 'size': 2}
  • id: 140120968
    {'aut_label': '22A1', 'centralizer': '2.a1', 'counter': 28, 'group_counter': 1205, 'group_order': 704, 'label': '22A1', 'order': 22, 'powers': [23, 30, 3], 'representative': 66, 'size': 2}
  • id: 140120969
    {'aut_label': '22A1', 'centralizer': '2.a1', 'counter': 29, 'group_counter': 1205, 'group_order': 704, 'label': '22A3', 'order': 22, 'powers': [25, 31, 3], 'representative': 194, 'size': 2}
  • id: 140120971
    {'aut_label': '22A1', 'centralizer': '2.a1', 'counter': 30, 'group_counter': 1205, 'group_order': 704, 'label': '22A5', 'order': 22, 'powers': [27, 29, 3], 'representative': 322, 'size': 2}
  • id: 140120972
    {'aut_label': '22A1', 'centralizer': '2.a1', 'counter': 31, 'group_counter': 1205, 'group_order': 704, 'label': '22A7', 'order': 22, 'powers': [26, 32, 3], 'representative': 258, 'size': 2}
  • id: 140120973
    {'aut_label': '22A1', 'centralizer': '2.a1', 'counter': 32, 'group_counter': 1205, 'group_order': 704, 'label': '22A9', 'order': 22, 'powers': [24, 28, 3], 'representative': 130, 'size': 2}
  • id: 140120974
    {'aut_label': '22A1', 'centralizer': '2.a1', 'counter': 33, 'group_counter': 1205, 'group_order': 704, 'label': '22B1', 'order': 22, 'powers': [27, 35, 4], 'representative': 34, 'size': 2}
  • id: 140120975
    {'aut_label': '22A1', 'centralizer': '2.a1', 'counter': 34, 'group_counter': 1205, 'group_order': 704, 'label': '22B3', 'order': 22, 'powers': [26, 36, 4], 'representative': 98, 'size': 2}
  • id: 140120976
    {'aut_label': '22A1', 'centralizer': '2.a1', 'counter': 35, 'group_counter': 1205, 'group_order': 704, 'label': '22B5', 'order': 22, 'powers': [25, 34, 4], 'representative': 162, 'size': 2}
  • id: 140120977
    {'aut_label': '22A1', 'centralizer': '2.a1', 'counter': 36, 'group_counter': 1205, 'group_order': 704, 'label': '22B7', 'order': 22, 'powers': [24, 37, 4], 'representative': 226, 'size': 2}
  • id: 140120978
    {'aut_label': '22A1', 'centralizer': '2.a1', 'counter': 37, 'group_counter': 1205, 'group_order': 704, 'label': '22B9', 'order': 22, 'powers': [23, 33, 4], 'representative': 290, 'size': 2}
  • id: 140120979
    {'aut_label': '22C1', 'centralizer': '2.a1', 'counter': 38, 'group_counter': 1205, 'group_order': 704, 'label': '22C1', 'order': 22, 'powers': [27, 40, 2], 'representative': 32, 'size': 2}
  • id: 140120980
    {'aut_label': '22C1', 'centralizer': '2.a1', 'counter': 39, 'group_counter': 1205, 'group_order': 704, 'label': '22C3', 'order': 22, 'powers': [26, 41, 2], 'representative': 96, 'size': 2}
  • id: 140120982
    {'aut_label': '22C1', 'centralizer': '2.a1', 'counter': 40, 'group_counter': 1205, 'group_order': 704, 'label': '22C5', 'order': 22, 'powers': [25, 39, 2], 'representative': 160, 'size': 2}
  • id: 140120983
    {'aut_label': '22C1', 'centralizer': '2.a1', 'counter': 41, 'group_counter': 1205, 'group_order': 704, 'label': '22C7', 'order': 22, 'powers': [24, 42, 2], 'representative': 224, 'size': 2}
  • id: 140120984
    {'aut_label': '22C1', 'centralizer': '2.a1', 'counter': 42, 'group_counter': 1205, 'group_order': 704, 'label': '22C9', 'order': 22, 'powers': [23, 38, 2], 'representative': 288, 'size': 2}
  • id: 140120985
    {'aut_label': '22D1', 'centralizer': '8.l1', 'counter': 43, 'group_counter': 1205, 'group_order': 704, 'label': '22D1', 'order': 22, 'powers': [23, 45, 5], 'representative': 65, 'size': 8}
  • id: 140120986
    {'aut_label': '22D1', 'centralizer': '8.l1', 'counter': 44, 'group_counter': 1205, 'group_order': 704, 'label': '22D3', 'order': 22, 'powers': [25, 46, 5], 'representative': 17, 'size': 8}
  • id: 140120987
    {'aut_label': '22D1', 'centralizer': '8.l1', 'counter': 45, 'group_counter': 1205, 'group_order': 704, 'label': '22D5', 'order': 22, 'powers': [27, 44, 5], 'representative': 33, 'size': 8}
  • id: 140120988
    {'aut_label': '22D1', 'centralizer': '8.l1', 'counter': 46, 'group_counter': 1205, 'group_order': 704, 'label': '22D7', 'order': 22, 'powers': [26, 47, 5], 'representative': 257, 'size': 8}
  • id: 140120989
    {'aut_label': '22D1', 'centralizer': '8.l1', 'counter': 47, 'group_counter': 1205, 'group_order': 704, 'label': '22D9', 'order': 22, 'powers': [24, 43, 5], 'representative': 129, 'size': 8}
  • id: 140120990
    {'aut_label': '22E1', 'centralizer': '8.m1', 'counter': 48, 'group_counter': 1205, 'group_order': 704, 'label': '22E1', 'order': 22, 'powers': [26, 50, 6], 'representative': 9, 'size': 8}
  • id: 140120991
    {'aut_label': '22E1', 'centralizer': '8.m1', 'counter': 49, 'group_counter': 1205, 'group_order': 704, 'label': '22E3', 'order': 22, 'powers': [23, 51, 6], 'representative': 25, 'size': 8}
  • id: 140120993
    {'aut_label': '22E1', 'centralizer': '8.m1', 'counter': 50, 'group_counter': 1205, 'group_order': 704, 'label': '22E5', 'order': 22, 'powers': [24, 49, 6], 'representative': 41, 'size': 8}
  • id: 140120994
    {'aut_label': '22E1', 'centralizer': '8.m1', 'counter': 51, 'group_counter': 1205, 'group_order': 704, 'label': '22E7', 'order': 22, 'powers': [27, 52, 6], 'representative': 585, 'size': 8}
  • id: 140120995
    {'aut_label': '22E1', 'centralizer': '8.m1', 'counter': 52, 'group_counter': 1205, 'group_order': 704, 'label': '22E9', 'order': 22, 'powers': [25, 48, 6], 'representative': 73, 'size': 8}
  • id: 140120996
    {'aut_label': '22D1', 'centralizer': '8.l1', 'counter': 53, 'group_counter': 1205, 'group_order': 704, 'label': '22F1', 'order': 22, 'powers': [23, 55, 7], 'representative': 67, 'size': 8}
  • id: 140120997
    {'aut_label': '22D1', 'centralizer': '8.l1', 'counter': 54, 'group_counter': 1205, 'group_order': 704, 'label': '22F3', 'order': 22, 'powers': [25, 56, 7], 'representative': 19, 'size': 8}
  • id: 140120998
    {'aut_label': '22D1', 'centralizer': '8.l1', 'counter': 55, 'group_counter': 1205, 'group_order': 704, 'label': '22F5', 'order': 22, 'powers': [27, 54, 7], 'representative': 35, 'size': 8}
  • id: 140120999
    {'aut_label': '22D1', 'centralizer': '8.l1', 'counter': 56, 'group_counter': 1205, 'group_order': 704, 'label': '22F7', 'order': 22, 'powers': [26, 57, 7], 'representative': 259, 'size': 8}
  • id: 140121000
    {'aut_label': '22D1', 'centralizer': '8.l1', 'counter': 57, 'group_counter': 1205, 'group_order': 704, 'label': '22F9', 'order': 22, 'powers': [24, 53, 7], 'representative': 131, 'size': 8}
  • id: 140121001
    {'aut_label': '22E1', 'centralizer': '8.m1', 'counter': 58, 'group_counter': 1205, 'group_order': 704, 'label': '22G1', 'order': 22, 'powers': [26, 60, 8], 'representative': 11, 'size': 8}
  • id: 140121002
    {'aut_label': '22E1', 'centralizer': '8.m1', 'counter': 59, 'group_counter': 1205, 'group_order': 704, 'label': '22G3', 'order': 22, 'powers': [23, 61, 8], 'representative': 27, 'size': 8}
  • id: 140121004
    {'aut_label': '22E1', 'centralizer': '8.m1', 'counter': 60, 'group_counter': 1205, 'group_order': 704, 'label': '22G5', 'order': 22, 'powers': [24, 59, 8], 'representative': 43, 'size': 8}
  • id: 140121005
    {'aut_label': '22E1', 'centralizer': '8.m1', 'counter': 61, 'group_counter': 1205, 'group_order': 704, 'label': '22G7', 'order': 22, 'powers': [27, 62, 8], 'representative': 587, 'size': 8}
  • id: 140121006
    {'aut_label': '22E1', 'centralizer': '8.m1', 'counter': 62, 'group_counter': 1205, 'group_order': 704, 'label': '22G9', 'order': 22, 'powers': [25, 58, 8], 'representative': 75, 'size': 8}
  • id: 140121007
    {'aut_label': '44A1', 'centralizer': '4.f1', 'counter': 63, 'group_counter': 1205, 'group_order': 704, 'label': '44A1', 'order': 44, 'powers': [38, 65, 13], 'representative': 18, 'size': 4}
  • id: 140121008
    {'aut_label': '44A1', 'centralizer': '4.f1', 'counter': 64, 'group_counter': 1205, 'group_order': 704, 'label': '44A3', 'order': 44, 'powers': [39, 66, 13], 'representative': 50, 'size': 4}
  • id: 140121009
    {'aut_label': '44A1', 'centralizer': '4.f1', 'counter': 65, 'group_counter': 1205, 'group_order': 704, 'label': '44A5', 'order': 44, 'powers': [40, 64, 13], 'representative': 82, 'size': 4}
  • id: 140121010
    {'aut_label': '44A1', 'centralizer': '4.f1', 'counter': 66, 'group_counter': 1205, 'group_order': 704, 'label': '44A7', 'order': 44, 'powers': [41, 67, 13], 'representative': 466, 'size': 4}
  • id: 140121011
    {'aut_label': '44A1', 'centralizer': '4.f1', 'counter': 67, 'group_counter': 1205, 'group_order': 704, 'label': '44A9', 'order': 44, 'powers': [42, 63, 13], 'representative': 146, 'size': 4}
  • id: 140121012
    {'aut_label': '44B1', 'centralizer': '4.f1', 'counter': 68, 'group_counter': 1205, 'group_order': 704, 'label': '44B1', 'order': 44, 'powers': [38, 70, 14], 'representative': 16, 'size': 4}
  • id: 140121013
    {'aut_label': '44B1', 'centralizer': '4.f1', 'counter': 69, 'group_counter': 1205, 'group_order': 704, 'label': '44B3', 'order': 44, 'powers': [39, 71, 14], 'representative': 48, 'size': 4}
  • id: 140121015
    {'aut_label': '44B1', 'centralizer': '4.f1', 'counter': 70, 'group_counter': 1205, 'group_order': 704, 'label': '44B5', 'order': 44, 'powers': [40, 69, 14], 'representative': 80, 'size': 4}
  • id: 140121016
    {'aut_label': '44B1', 'centralizer': '4.f1', 'counter': 71, 'group_counter': 1205, 'group_order': 704, 'label': '44B7', 'order': 44, 'powers': [41, 72, 14], 'representative': 112, 'size': 4}
  • id: 140121017
    {'aut_label': '44B1', 'centralizer': '4.f1', 'counter': 72, 'group_counter': 1205, 'group_order': 704, 'label': '44B9', 'order': 44, 'powers': [42, 68, 14], 'representative': 144, 'size': 4}
  • id: 140121018
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 73, 'group_counter': 1205, 'group_order': 704, 'label': '88A1', 'order': 88, 'powers': [68, 77, 19], 'representative': 8, 'size': 4}
  • id: 140121019
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 74, 'group_counter': 1205, 'group_order': 704, 'label': '88A-1', 'order': 88, 'powers': [68, 78, 19], 'representative': 520, 'size': 4}
  • id: 140121020
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 75, 'group_counter': 1205, 'group_order': 704, 'label': '88A3', 'order': 88, 'powers': [69, 80, 19], 'representative': 24, 'size': 4}
  • id: 140121021
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 76, 'group_counter': 1205, 'group_order': 704, 'label': '88A-3', 'order': 88, 'powers': [69, 79, 19], 'representative': 200, 'size': 4}
  • id: 140121022
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 77, 'group_counter': 1205, 'group_order': 704, 'label': '88A5', 'order': 88, 'powers': [70, 76, 19], 'representative': 40, 'size': 4}
  • id: 140121023
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 78, 'group_counter': 1205, 'group_order': 704, 'label': '88A-5', 'order': 88, 'powers': [70, 75, 19], 'representative': 392, 'size': 4}
  • id: 140121024
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 79, 'group_counter': 1205, 'group_order': 704, 'label': '88A7', 'order': 88, 'powers': [71, 81, 19], 'representative': 584, 'size': 4}
  • id: 140121026
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 80, 'group_counter': 1205, 'group_order': 704, 'label': '88A-7', 'order': 88, 'powers': [71, 82, 19], 'representative': 648, 'size': 4}
  • id: 140121027
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 81, 'group_counter': 1205, 'group_order': 704, 'label': '88A9', 'order': 88, 'powers': [72, 74, 19], 'representative': 72, 'size': 4}
  • id: 140121028
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 82, 'group_counter': 1205, 'group_order': 704, 'label': '88A-9', 'order': 88, 'powers': [72, 73, 19], 'representative': 456, 'size': 4}
  • id: 140121029
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 83, 'group_counter': 1205, 'group_order': 704, 'label': '88B1', 'order': 88, 'powers': [68, 87, 20], 'representative': 10, 'size': 4}
  • id: 140121030
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 84, 'group_counter': 1205, 'group_order': 704, 'label': '88B-1', 'order': 88, 'powers': [68, 88, 20], 'representative': 522, 'size': 4}
  • id: 140121031
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 85, 'group_counter': 1205, 'group_order': 704, 'label': '88B3', 'order': 88, 'powers': [69, 90, 20], 'representative': 26, 'size': 4}
  • id: 140121032
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 86, 'group_counter': 1205, 'group_order': 704, 'label': '88B-3', 'order': 88, 'powers': [69, 89, 20], 'representative': 202, 'size': 4}
  • id: 140121033
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 87, 'group_counter': 1205, 'group_order': 704, 'label': '88B5', 'order': 88, 'powers': [70, 86, 20], 'representative': 42, 'size': 4}
  • id: 140121034
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 88, 'group_counter': 1205, 'group_order': 704, 'label': '88B-5', 'order': 88, 'powers': [70, 85, 20], 'representative': 394, 'size': 4}
  • id: 140121035
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 89, 'group_counter': 1205, 'group_order': 704, 'label': '88B7', 'order': 88, 'powers': [71, 91, 20], 'representative': 586, 'size': 4}
  • id: 140121037
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 90, 'group_counter': 1205, 'group_order': 704, 'label': '88B-7', 'order': 88, 'powers': [71, 92, 20], 'representative': 650, 'size': 4}
  • id: 140121038
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 91, 'group_counter': 1205, 'group_order': 704, 'label': '88B9', 'order': 88, 'powers': [72, 84, 20], 'representative': 74, 'size': 4}
  • id: 140121039
    {'aut_label': '88A1', 'centralizer': '4.f1', 'counter': 92, 'group_counter': 1205, 'group_order': 704, 'label': '88B-9', 'order': 88, 'powers': [72, 83, 20], 'representative': 458, 'size': 4}
• gps_qchar •

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

  
  
  • id: 12849559
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12849570
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1], 'schur_index': 1}
  • id: 12849581
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1], 'schur_index': 1}
  • id: 12849587
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1], 'schur_index': 1}
  • id: 12849588
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1], 'schur_index': 1}
  • id: 12849589
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1], 'schur_index': 1}
  • id: 12849590
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1], 'schur_index': 1}
  • id: 12849591
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1], 'schur_index': 1}
  • id: 12849592
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1i', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1], 'schur_index': 1}
  • id: 12849560
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1j', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12849561
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1k', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12849562
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1l', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12849563
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1m', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12849564
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1n', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12849565
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1o', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12849566
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.1p', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12849567
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12849568
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 0, 0, 0, 2, -2, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12849569
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12849571
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12849580
    {'cdim': 4, 'counter': 29, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.4a', 'multiplicity': 1, 'nt': [8, 15], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, -4, -4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12849582
    {'cdim': 4, 'counter': 30, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.4b', 'multiplicity': 1, 'nt': [8, 15], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 4, 4, 4, -4, -4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12849572
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2e', 'multiplicity': 5, 'nt': [11, 2], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, 10, 10, 10, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 10, 10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12849573
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2f', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, -10, -10, -10, -10, 10, 10, 0, 0, 0, 0, -10, 10, 0, 0, 0, 0, 10, -10, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1], 'schur_index': 1}
  • id: 12849574
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2g', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, -10, -10, -10, 10, 10, -10, 0, 0, 0, 0, -10, 10, 0, 0, 0, 0, -10, 10, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1], 'schur_index': 1}
  • id: 12849575
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2h', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, -10, -10, 10, -10, -10, 10, 0, 0, 0, 0, -10, 10, 0, 0, 0, 0, -10, 10, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1], 'schur_index': 1}
  • id: 12849576
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2i', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, -10, -10, 10, 10, -10, -10, 0, 0, 0, 0, -10, 10, 0, 0, 0, 0, 10, -10, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1], 'schur_index': 1}
  • id: 12849577
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2j', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, -10, -10, -10, -10, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 10, 10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12849578
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2k', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, -10, 10, -10, 10, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, -10, -10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12849579
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.2l', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, -10, 10, -10, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, -10, -10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12849583
    {'cdim': 4, 'counter': 31, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.4c', 'multiplicity': 5, 'nt': [44, 12], 'qdim': 20, 'qvalues': [20, 20, -20, -20, 0, 0, 0, 0, 0, 0, 0, 0, 20, -20, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12849584
    {'cdim': 4, 'counter': 32, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.4d', 'multiplicity': 5, 'nt': [44, 12], 'qdim': 20, 'qvalues': [20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, -20, -20, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12849585
    {'cdim': 4, 'counter': 33, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.4e', 'multiplicity': 10, 'nt': [88, 0], 'qdim': 40, 'qvalues': [40, -40, -40, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, 4, 4, -4, 4, -4, 4, 4, 4, -4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12849586
    {'cdim': 4, 'counter': 34, 'faithful': False, 'group': '704.1205', 'group_order': 704, 'image': None, 'label': '704.1205.4f', 'multiplicity': 10, 'nt': [88, 0], 'qdim': 40, 'qvalues': [40, -40, 40, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, 4, 4, 4, -4, 4, -4, -4, -4, 4, 4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 29795368
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  • id: 29795379
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  • id: 29795390
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  • id: 29795401
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  • id: 29795412
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  • id: 29795423
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  • id: 29795434
    {'center': '1.a1', 'center_index': 1, 'center_order': 704, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 352, 'label': '704.1205.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 29795445
    {'center': '1.a1', 'center_index': 1, 'center_order': 704, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 352, 'label': '704.1205.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 29795456
    {'center': '1.a1', 'center_index': 1, 'center_order': 704, 'counter': 9, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 352, 'label': '704.1205.1i', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 29795369
    {'center': '1.a1', 'center_index': 1, 'center_order': 704, 'counter': 10, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1', 'kernel_order': 352, 'label': '704.1205.1j', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29795370
    {'center': '1.a1', 'center_index': 1, 'center_order': 704, 'counter': 11, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 352, 'label': '704.1205.1k', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29795371
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  • id: 29795372
    {'center': '1.a1', 'center_index': 1, 'center_order': 704, 'counter': 13, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 352, 'label': '704.1205.1m', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29795373
    {'center': '1.a1', 'center_index': 1, 'center_order': 704, 'counter': 14, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 352, 'label': '704.1205.1n', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29795374
    {'center': '1.a1', 'center_index': 1, 'center_order': 704, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 352, 'label': '704.1205.1o', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29795375
    {'center': '1.a1', 'center_index': 1, 'center_order': 704, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 352, 'label': '704.1205.1p', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29795376
    {'center': '4.c1', 'center_index': 4, 'center_order': 176, 'counter': 17, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.f1', 'kernel_order': 88, 'label': '704.1205.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795377
    {'center': '4.c1', 'center_index': 4, 'center_order': 176, 'counter': 18, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.f1', 'kernel_order': 88, 'label': '704.1205.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795378
    {'center': '4.c1', 'center_index': 4, 'center_order': 176, 'counter': 19, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1', 'kernel_order': 88, 'label': '704.1205.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795380
    {'center': '4.c1', 'center_index': 4, 'center_order': 176, 'counter': 20, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1', 'kernel_order': 88, 'label': '704.1205.2d', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795381
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 21, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1', 'kernel_order': 32, 'label': '704.1205.2e1', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]]]}
  • id: 29795382
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 22, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1', 'kernel_order': 32, 'label': '704.1205.2e2', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29795383
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 23, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1', 'kernel_order': 32, 'label': '704.1205.2e3', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29795384
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 24, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1', 'kernel_order': 32, 'label': '704.1205.2e4', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 29795385
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 25, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1', 'kernel_order': 32, 'label': '704.1205.2e5', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29795386
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 26, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2f1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]]]}
  • id: 29795387
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 27, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2f2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29795388
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 28, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2f3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29795389
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 29, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2f4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29795391
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 30, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2f5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29795392
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 31, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2g1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]]]}
  • id: 29795393
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 32, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2g2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 29795394
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 33, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2g3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]]]}
  • id: 29795395
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 34, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2g4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]]]}
  • id: 29795396
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 35, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2g5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 29795397
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 36, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2h1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]]]}
  • id: 29795398
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 37, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2h2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 29795399
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 38, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2h3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]]]}
  • id: 29795400
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 39, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2h4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]]]}
  • id: 29795402
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 40, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2h5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 29795403
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 41, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2i1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]]]}
  • id: 29795404
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 42, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2i2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29795405
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 43, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2i3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29795406
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 44, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2i4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29795407
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 45, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.d1', 'kernel_order': 16, 'label': '704.1205.2i5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29795408
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 46, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1', 'kernel_order': 16, 'label': '704.1205.2j1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]]]}
  • id: 29795409
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 47, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1', 'kernel_order': 16, 'label': '704.1205.2j2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29795410
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 48, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1', 'kernel_order': 16, 'label': '704.1205.2j3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29795411
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 49, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1', 'kernel_order': 16, 'label': '704.1205.2j4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 29795413
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 50, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1', 'kernel_order': 16, 'label': '704.1205.2j5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29795414
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 51, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1', 'kernel_order': 16, 'label': '704.1205.2k1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]]]}
  • id: 29795415
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 52, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1', 'kernel_order': 16, 'label': '704.1205.2k2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29795416
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 53, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1', 'kernel_order': 16, 'label': '704.1205.2k3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29795417
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 54, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1', 'kernel_order': 16, 'label': '704.1205.2k4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29795418
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 55, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1', 'kernel_order': 16, 'label': '704.1205.2k5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29795419
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 56, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1', 'kernel_order': 16, 'label': '704.1205.2l1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]]]}
  • id: 29795420
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 57, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1', 'kernel_order': 16, 'label': '704.1205.2l2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29795421
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 58, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1', 'kernel_order': 16, 'label': '704.1205.2l3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29795422
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 59, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1', 'kernel_order': 16, 'label': '704.1205.2l4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29795424
    {'center': '22.a1', 'center_index': 22, 'center_order': 32, 'counter': 60, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1', 'kernel_order': 16, 'label': '704.1205.2l5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29795425
    {'center': '16.a1', 'center_index': 16, 'center_order': 44, 'counter': 61, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '32.43', 'image_order': 32, 'indicator': 1, 'kernel': '32.b1', 'kernel_order': 22, 'label': '704.1205.4a', 'nt': [8, 15], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 29795426
    {'center': '16.a1', 'center_index': 16, 'center_order': 44, 'counter': 62, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '32.43', 'image_order': 32, 'indicator': 1, 'kernel': '32.b1', 'kernel_order': 22, 'label': '704.1205.4b', 'nt': [8, 15], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 29795427
    {'center': '88.a1', 'center_index': 88, 'center_order': 8, 'counter': 63, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.b1', 'kernel_order': 4, 'label': '704.1205.4c1', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795428
    {'center': '88.a1', 'center_index': 88, 'center_order': 8, 'counter': 64, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.b1', 'kernel_order': 4, 'label': '704.1205.4c2', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795429
    {'center': '88.a1', 'center_index': 88, 'center_order': 8, 'counter': 65, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.b1', 'kernel_order': 4, 'label': '704.1205.4c3', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[-2, 5], [-2, -5]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795430
    {'center': '88.a1', 'center_index': 88, 'center_order': 8, 'counter': 66, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.b1', 'kernel_order': 4, 'label': '704.1205.4c4', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[-2, 4], [-2, -4]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795431
    {'center': '88.a1', 'center_index': 88, 'center_order': 8, 'counter': 67, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.b1', 'kernel_order': 4, 'label': '704.1205.4c5', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795432
    {'center': '88.a1', 'center_index': 88, 'center_order': 8, 'counter': 68, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1', 'kernel_order': 4, 'label': '704.1205.4d1', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795433
    {'center': '88.a1', 'center_index': 88, 'center_order': 8, 'counter': 69, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1', 'kernel_order': 4, 'label': '704.1205.4d2', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795435
    {'center': '88.a1', 'center_index': 88, 'center_order': 8, 'counter': 70, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1', 'kernel_order': 4, 'label': '704.1205.4d3', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795436
    {'center': '88.a1', 'center_index': 88, 'center_order': 8, 'counter': 71, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1', 'kernel_order': 4, 'label': '704.1205.4d4', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795437
    {'center': '88.a1', 'center_index': 88, 'center_order': 8, 'counter': 72, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1', 'kernel_order': 4, 'label': '704.1205.4d5', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29795438
    {'center': '176.a1', 'center_index': 176, 'center_order': 4, 'counter': 73, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1', 'kernel_order': 2, 'label': '704.1205.4e1', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 16], [2, -16]], [[2, 20], [2, -20]], [[2, 8], [2, -8]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]]]}
  • id: 29795448
    {'center': '176.a1', 'center_index': 176, 'center_order': 4, 'counter': 82, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1', 'kernel_order': 2, 'label': '704.1205.4e10', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[-2, 12], [-2, -12]], [[2, 4], [2, -4]], [[2, 16], [2, -16]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[-2, 20], [-2, -20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]]]}
  • id: 29795439
    {'center': '176.a1', 'center_index': 176, 'center_order': 4, 'counter': 74, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1', 'kernel_order': 2, 'label': '704.1205.4e2', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 16], [2, -16]], [[2, 20], [2, -20]], [[2, 8], [2, -8]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]]]}
  • id: 29795440
    {'center': '176.a1', 'center_index': 176, 'center_order': 4, 'counter': 75, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1', 'kernel_order': 2, 'label': '704.1205.4e3', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[-2, 4], [-2, -4]], [[-2, 16], [-2, -16]], [[-2, 20], [-2, -20]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]]]}
  • id: 29795441
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  • id: 29795442
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  • id: 29795443
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  • id: 29795444
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  • id: 29795446
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  • id: 29795447
    {'center': '176.a1', 'center_index': 176, 'center_order': 4, 'counter': 81, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1', 'kernel_order': 2, 'label': '704.1205.4e9', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[-2, 12], [-2, -12]], [[2, 4], [2, -4]], [[2, 16], [2, -16]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[-2, 20], [-2, -20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]]]}
  • id: 29795449
    {'center': '176.a1', 'center_index': 176, 'center_order': 4, 'counter': 83, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1', 'kernel_order': 2, 'label': '704.1205.4f1', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 20], [-2, -20]], [[-2, 8], [-2, -8]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 4], [-2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]]]}
  • id: 29795459
    {'center': '176.a1', 'center_index': 176, 'center_order': 4, 'counter': 92, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1', 'kernel_order': 2, 'label': '704.1205.4f10', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 4], [-2, -4]], [[-2, 16], [-2, -16]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]]]}
  • id: 29795450
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  • id: 29795451
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  • id: 29795452
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  • id: 29795453
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  • id: 29795454
    {'center': '176.a1', 'center_index': 176, 'center_order': 4, 'counter': 88, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1', 'kernel_order': 2, 'label': '704.1205.4f6', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 12], [-2, -12]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 20], [-2, -20]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]]]}
  • id: 29795455
    {'center': '176.a1', 'center_index': 176, 'center_order': 4, 'counter': 89, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1', 'kernel_order': 2, 'label': '704.1205.4f7', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 8], [2, -8]], [[2, 12], [2, -12]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 16], [2, -16]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]]]}
  • id: 29795457
    {'center': '176.a1', 'center_index': 176, 'center_order': 4, 'counter': 90, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1', 'kernel_order': 2, 'label': '704.1205.4f8', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 8], [2, -8]], [[2, 12], [2, -12]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 16], [2, -16]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]]]}
  • id: 29795458
    {'center': '176.a1', 'center_index': 176, 'center_order': 4, 'counter': 91, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.1205', 'group_counter': 1205, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1', 'kernel_order': 2, 'label': '704.1205.4f9', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 4], [-2, -4]], [[-2, 16], [-2, -16]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]]]}
• 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: 110611157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 704, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 22, 'label': '704.1205.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '704.1205', 'subgroup_hash': 1205, 'subgroup_order': 704, 'subgroup_tex': 'D_8:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 352, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.167', 'subgroup_hash': 167, 'subgroup_order': 352, 'subgroup_tex': 'D_8\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.178', 'subgroup_hash': 178, 'subgroup_order': 352, 'subgroup_tex': 'D_4:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.126', 'subgroup_hash': 126, 'subgroup_order': 352, 'subgroup_tex': 'C_{22}:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.177', 'subgroup_hash': 177, 'subgroup_order': 352, 'subgroup_tex': 'D_4\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.128', 'subgroup_hash': 128, 'subgroup_order': 352, 'subgroup_tex': 'C_{22}:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110611272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 352, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.2.f1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.95', 'subgroup_hash': 95, 'subgroup_order': 352, 'subgroup_tex': 'C_8:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.2.g1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.97', 'subgroup_hash': 97, 'subgroup_order': 352, 'subgroup_tex': 'C_8:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 352, 'counter': 9, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '704.1205.2.h1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.106', 'subgroup_hash': 106, 'subgroup_order': 352, 'subgroup_tex': 'C_8:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 176, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.38', 'subgroup_hash': 38, 'subgroup_order': 176, 'subgroup_tex': 'D_4\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 176, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '176.38', 'subgroup_hash': 38, 'subgroup_order': 176, 'subgroup_tex': 'D_4\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611180
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 176, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '176.28', 'subgroup_hash': 28, 'subgroup_order': 176, 'subgroup_tex': 'C_4\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 176, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '176.29', 'subgroup_hash': 29, 'subgroup_order': 176, 'subgroup_tex': 'C_2\\times D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110611202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 176, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.27', 'subgroup_hash': 27, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611212
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 176, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.22', 'subgroup_hash': 22, 'subgroup_order': 176, 'subgroup_tex': 'C_2\\times C_{88}', 'supersolvable': True, 'sylow': 0}
  • id: 110611213
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 176, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.8', 'subgroup_hash': 8, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 176, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.24', 'subgroup_hash': 24, 'subgroup_order': 176, 'subgroup_tex': 'C_{11}\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 176, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.32', 'subgroup_hash': 32, 'subgroup_order': 176, 'subgroup_tex': 'D_4:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 176, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.14', 'subgroup_hash': 14, 'subgroup_order': 176, 'subgroup_tex': 'C_{11}:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 176, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.31', 'subgroup_hash': 31, 'subgroup_order': 176, 'subgroup_tex': 'D_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 176, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.15', 'subgroup_hash': 15, 'subgroup_order': 176, 'subgroup_tex': 'C_{11}:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110611220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 176, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.4', 'subgroup_hash': 4, 'subgroup_order': 176, 'subgroup_tex': 'C_{88}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110611221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 176, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.4.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.5', 'subgroup_hash': 5, 'subgroup_order': 176, 'subgroup_tex': 'C_{88}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110611222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.4.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '176.36', 'subgroup_hash': 36, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611223
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 88, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.4.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '176.35', 'subgroup_hash': 35, 'subgroup_order': 176, 'subgroup_tex': 'C_2^2.D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611224
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 88, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.4.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '176.41', 'subgroup_hash': 41, 'subgroup_order': 176, 'subgroup_tex': 'C_2^2\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.4.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '176.36', 'subgroup_hash': 36, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.4.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '176.32', 'subgroup_hash': 32, 'subgroup_order': 176, 'subgroup_tex': 'D_4:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.4.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '176.31', 'subgroup_hash': 31, 'subgroup_order': 176, 'subgroup_tex': 'D_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611229
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 88, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.11', 'subgroup_hash': 11, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611230
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 88, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.8', 'subgroup_hash': 8, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110611231
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 88, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 88, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.9', 'subgroup_hash': 9, 'subgroup_order': 88, 'subgroup_tex': 'D_4\\times C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 88, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.9', 'subgroup_hash': 9, 'subgroup_order': 88, 'subgroup_tex': 'D_4\\times C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611234
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 88, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611235
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 88, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.5', 'subgroup_hash': 5, 'subgroup_order': 88, 'subgroup_tex': 'D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110611237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611238
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 88, 'counter': 39, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.1205.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.2', 'subgroup_hash': 2, 'subgroup_order': 88, 'subgroup_tex': 'C_{88}', 'supersolvable': True, 'sylow': 0}
  • id: 110611240
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 88, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.1', 'subgroup_hash': 1, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611241
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 44, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.12', 'subgroup_hash': 12, 'subgroup_order': 88, 'subgroup_tex': 'C_2^2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611242
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 44, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.12', 'subgroup_hash': 12, 'subgroup_order': 88, 'subgroup_tex': 'C_2^2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611243
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.11', 'subgroup_hash': 11, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611244
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.7', 'subgroup_hash': 7, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611246
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 44, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.9', 'subgroup_hash': 9, 'subgroup_order': 88, 'subgroup_tex': 'D_4\\times C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611248
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.11', 'subgroup_hash': 11, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.7', 'subgroup_hash': 7, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 44, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.9', 'subgroup_hash': 9, 'subgroup_order': 88, 'subgroup_tex': 'D_4\\times C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.5', 'subgroup_hash': 5, 'subgroup_order': 88, 'subgroup_tex': 'D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110611253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611254
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.8.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.11', 'subgroup_hash': 11, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '704.1205.11.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.254', 'subgroup_hash': 254, 'subgroup_order': 64, 'subgroup_tex': 'C_8:C_2^3', 'supersolvable': True, 'sylow': 2}
  • id: 110611256
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 44, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, '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: 110611257
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 44, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611258
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 44, 'counter': 57, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.1205.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110611259
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 44, 'counter': 58, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.1205.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110611260
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 44, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611262
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611263
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611264
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611265
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611266
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611267
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.16.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611268
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 22, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.16.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611269
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.16.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611270
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 11, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.16.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 32, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.22.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '22.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '22.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 22, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{11}', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.39', 'subgroup_hash': 39, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.22.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110611274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.22.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.39', 'subgroup_hash': 39, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.22.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.22.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.40', 'subgroup_hash': 40, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110611277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.22.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110611278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.22.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.40', 'subgroup_hash': 40, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110611279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.22.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.43', 'subgroup_hash': 43, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110611280
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 22, 'counter': 77, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.1205.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C5'], '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: 110611281
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': False, 'core_order': 22, 'counter': 78, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.1205.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611282
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 11, 'counter': 79, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.1205.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611284
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 11, 'counter': 80, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.1205.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110611285
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 11, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611286
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 11, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.32.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110611287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 16, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.44.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '44.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 16, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.44.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '44.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611289
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 16, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.44.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '44.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 16, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.44.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '44.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611292
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611293
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 110611295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611296
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611299
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110611301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110611302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110611160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110611161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.44.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110611162
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 11, 'counter': 103, 'cyclic': True, 'direct': False, 'hall': 11, 'label': '704.1205.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.254', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 254, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_2^3', 'simple': True, 'solvable': True, 'special_labels': ['L3', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 11}
  • id: 110611163
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 8, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.88.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '88.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{22}', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 8, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.88.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '88.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 8, 'counter': 106, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.88.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '88.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611166
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 8, 'counter': 107, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.1205.88.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '88.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611167
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 4, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 110611168
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 4, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 110611170
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 110611171
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 110611172
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611173
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611175
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 4, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611177
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 110611178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 4, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611181
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611182
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611187
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 126, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.1205.88.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110611188
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.88.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 110611189
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 4, 'counter': 128, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.1205.176.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '176.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '176.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 176, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times D_{11}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110611190
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 4, 'counter': 129, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.1205.176.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '176.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '176.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 176, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times D_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611192
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 4, 'counter': 130, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.1205.176.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '176.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '176.41', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 41, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 176, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_{22}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611193
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.176.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110611194
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.176.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110611195
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.176.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110611196
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.176.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110611197
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 135, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.1205.176.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611198
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 136, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.1205.176.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110611199
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.176.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110611200
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.176.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110611201
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.176.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110611203
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.176.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110611204
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.1205.176.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110611205
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 2, 'counter': 142, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.1205.352.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '352.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '352.177', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 177, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 352, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times D_{22}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110611206
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': False, 'core_order': 2, 'counter': 143, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '704.1205.352.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '352.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '352.106', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 106, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 352, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_{22}', 'simple': True, 'solvable': True, 'special_labels': [], '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: 110611207
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 1, 'counter': 144, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.1205.352.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '352.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 352, '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: 110611208
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.1205.352.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '352.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 352, '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: 110611209
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.1205.352.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '352.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 352, '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: 110611210
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.1205.352.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '352.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 352, '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: 110611211
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.1205', 'ambient_counter': 1205, 'ambient_order': 704, 'ambient_tex': 'D_8:D_{22}', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 1, 'counter': 148, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '704.1205.704.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '704.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '704.1205', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1205, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 704, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:D_{22}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 110611157
    {'ambient': '704.1205', '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': '176.a1', 'complements': ['704.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '2.g1', '2.h1', '11.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8121, 5629, 2638, 4208], 'generators': [1, 352, 4, 88, 2, 64, 528], 'label': '704.1205.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '2.g1', '2.h1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611158
    {'ambient': '704.1205', 'aut_centralizer_order': 176, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '320.1632', 'aut_weyl_index': 176, 'centralizer': '16.a1', 'complements': ['176.n1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1', '2.c1'], 'contains': ['8.b1', '8.d1', '8.l1', '8.r1', '44.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7091, 8813, 4259, 7768], 'generators': [1, 176, 64, 2, 352], 'label': '704.1205.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.c1'], 'normal_contains': ['8.b1', '8.d1', '44.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '176.31', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611159
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '44.r1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3520, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.l1', '22.e1', '22.h1'], 'contains': ['88.c1', '88.v1', '88.w1'], 'core': '88.c1', 'coset_action_label': None, 'count': 44, 'diagramx': [7967, -1, 1282, -1], 'generators': [441, 94], 'label': '704.1205.44.r1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.r1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.r1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611160
    {'ambient': '704.1205', 'aut_centralizer_order': 160, 'aut_label': '44.s1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '8.5', 'aut_weyl_index': 7040, 'centralizer': '88.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.m1', '22.f1', '22.h1'], 'contains': ['88.d1', '88.r1', '88.w1'], 'core': '88.d1', 'coset_action_label': None, 'count': 44, 'diagramx': [9591, -1, 639, -1], 'generators': [6, 264], 'label': '704.1205.44.s1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.s1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.s1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110611161
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '44.t1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3520, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.n1', '22.g1', '22.h1'], 'contains': ['88.d1', '88.t1', '88.v1'], 'core': '88.d1', 'coset_action_label': None, 'count': 44, 'diagramx': [8798, -1, 796, -1], 'generators': [7, 264], 'label': '704.1205.44.t1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.t1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.t1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611162
    {'ambient': '704.1205', 'aut_centralizer_order': 5632, 'aut_label': '64.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 5632, 'centralizer': '2.a1', 'complements': ['11.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1', '32.f1'], 'contains': ['704.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [841, 2541, 8223, 3110], 'generators': [64], 'label': '704.1205.64.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1'], 'normal_contains': ['704.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '704.1205', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.39', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611163
    {'ambient': '704.1205', 'aut_centralizer_order': 14080, 'aut_label': '88.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 14080, 'centralizer': '2.f1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '44.a1', '44.b1', '44.c1', '44.i1', '44.j1', '44.k1', '44.l1'], 'contains': ['176.a1', '176.b1', '176.c1'], 'core': '88.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6927, 5664, 2944, 6919], 'generators': [2, 176], 'label': '704.1205.88.a1', 'mobius_quo': 0, 'mobius_sub': 88, 'normal_closure': '88.a1', 'normal_contained_in': ['8.b1', '44.a1', '44.b1', '44.c1'], 'normal_contains': ['176.a1', '176.b1', '176.c1'], 'normalizer': '1.a1', 'old_label': '88.a1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '44.3', 'quotient_action_kernel_order': 44, 'quotient_fusion': None, 'short_label': '88.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611164
    {'ambient': '704.1205', 'aut_centralizer_order': 3520, 'aut_label': '88.b1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '8.c1', 'complements': ['8.x1'], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '44.a1', '44.d1', '44.n1', '44.o1'], 'contains': ['176.c1', '176.d1'], 'core': '88.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7909, 8756, 2276, 7781], 'generators': [3, 176], 'label': '704.1205.88.b1', 'mobius_quo': 0, 'mobius_sub': 88, 'normal_closure': '88.b1', 'normal_contained_in': ['8.d1', '44.a1', '44.d1'], 'normal_contains': ['176.c1'], 'normalizer': '1.a1', 'old_label': '88.b1', 'projective_image': '352.177', 'quotient_action_image': '4.2', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '88.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110611165
    {'ambient': '704.1205', 'aut_centralizer_order': 3520, 'aut_label': '88.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '8.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '44.b1', '44.d1', '44.q1', '44.r1'], 'contains': ['176.c1', '176.e1'], 'core': '88.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [6312, 8060, 3109, 7350], 'generators': [443, 176], 'label': '704.1205.88.c1', 'mobius_quo': 0, 'mobius_sub': 88, 'normal_closure': '88.c1', 'normal_contained_in': ['8.e1', '44.b1', '44.d1'], 'normal_contains': ['176.c1'], 'normalizer': '1.a1', 'old_label': '88.c1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.c1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110611166
    {'ambient': '704.1205', 'aut_centralizer_order': 7040, 'aut_label': '88.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 14080, 'centralizer': '4.f1', 'complements': ['8.x1'], 'conjugacy_class_count': 2, 'contained_in': ['8.j1', '44.c1', '44.d1', '44.s1', '44.t1'], 'contains': ['176.c1'], 'core': '88.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [9497, 6197, 863, 8282], 'generators': [266], 'label': '704.1205.88.d1', 'mobius_quo': 0, 'mobius_sub': 88, 'normal_closure': '88.d1', 'normal_contained_in': ['8.j1', '44.c1', '44.d1'], 'normal_contains': ['176.c1'], 'normalizer': '1.a1', 'old_label': '88.d1', 'projective_image': '352.177', 'quotient_action_image': '4.2', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '88.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611167
    {'ambient': '704.1205', 'aut_centralizer_order': 3520, 'aut_label': '88.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '4.p1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1', '44.a1', '44.e1', '44.f1'], 'contains': ['176.a1', '176.d1', '176.j1'], 'core': '176.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4495, -1, 5561, -1], 'generators': [1, 2, 352], 'label': '704.1205.88.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '88.e1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611168
    {'ambient': '704.1205', 'aut_centralizer_order': 3520, 'aut_label': '88.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1', '44.b1', '44.g1', '44.h1'], 'contains': ['176.a1', '176.e1', '176.k1'], 'core': '176.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1608, -1, 7158, -1], 'generators': [441, 2, 352], 'label': '704.1205.88.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '88.f1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611169
    {'ambient': '704.1205', 'aut_centralizer_order': 176, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '320.1632', 'aut_weyl_index': 176, 'centralizer': '16.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.d1', '2.e1'], 'contains': ['8.b1', '8.e1', '8.m1', '8.u1', '44.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5479, 7585, 4770, 7089], 'generators': [441, 176, 64, 2, 352], 'label': '704.1205.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.d1', '2.e1'], 'normal_contains': ['8.b1', '8.e1', '44.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611170
    {'ambient': '704.1205', 'aut_centralizer_order': 640, 'aut_label': '88.g1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '22.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '44.e1', '44.g1', '44.i1'], 'contains': ['176.a1', '176.f1', '176.l1'], 'core': '176.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2288, -1, 7028, -1], 'generators': [2, 4, 352], 'label': '704.1205.88.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '88.g1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611171
    {'ambient': '704.1205', 'aut_centralizer_order': 320, 'aut_label': '88.h1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '44.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1', '44.g1', '44.h1', '44.j1'], 'contains': ['176.a1', '176.g1', '176.m1'], 'core': '176.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1921, -1, 7561, -1], 'generators': [349, 2, 352], 'label': '704.1205.88.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1', 'old_label': '88.h1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611172
    {'ambient': '704.1205', 'aut_centralizer_order': 640, 'aut_label': '88.i1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '22.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '44.f1', '44.h1', '44.i1'], 'contains': ['176.a1', '176.h1'], 'core': '176.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2848, -1, 6551, -1], 'generators': [2, 180], 'label': '704.1205.88.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '88.i1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611173
    {'ambient': '704.1205', 'aut_centralizer_order': 320, 'aut_label': '88.j1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '44.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1', '44.e1', '44.f1', '44.k1'], 'contains': ['176.a1', '176.i1'], 'core': '176.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4082, -1, 5173, -1], 'generators': [5, 2], 'label': '704.1205.88.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '88.j1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611174
    {'ambient': '704.1205', 'aut_centralizer_order': 160, 'aut_label': '88.k1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 14080, 'centralizer': '88.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.p1', '44.e1', '44.m1', '44.n1'], 'contains': ['176.d1', '176.f1', '176.i1'], 'core': '352.a1', 'coset_action_label': None, 'count': 88, 'diagramx': [4642, -1, 5008, -1], 'generators': [1, 6], 'label': '704.1205.88.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '88.k1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.k1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611175
    {'ambient': '704.1205', 'aut_centralizer_order': 160, 'aut_label': '88.l1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 14080, 'centralizer': '44.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.q1', '44.f1', '44.m1', '44.n1'], 'contains': ['176.d1', '176.h1', '176.i1'], 'core': '352.a1', 'coset_action_label': None, 'count': 88, 'diagramx': [4840, -1, 4843, -1], 'generators': [1, 182], 'label': '704.1205.88.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '88.l1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.l1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611176
    {'ambient': '704.1205', 'aut_centralizer_order': 3520, 'aut_label': '88.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1', '44.a1', '44.m1'], 'contains': ['176.b1', '176.d1'], 'core': '176.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5441, -1, 4678, -1], 'generators': [1, 178], 'label': '704.1205.88.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '88.m1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.m1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611177
    {'ambient': '704.1205', 'aut_centralizer_order': 160, 'aut_label': '88.n1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 14080, 'centralizer': '44.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.s1', '44.g1', '44.p1', '44.q1'], 'contains': ['176.e1', '176.f1', '176.g1', '176.n1'], 'core': '352.a1', 'coset_action_label': None, 'count': 88, 'diagramx': [1764, -1, 7288, -1], 'generators': [441, 6, 352], 'label': '704.1205.88.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1', 'old_label': '88.n1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611178
    {'ambient': '704.1205', 'aut_centralizer_order': 160, 'aut_label': '88.o1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 14080, 'centralizer': '88.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.t1', '44.h1', '44.p1', '44.q1'], 'contains': ['176.e1', '176.g1', '176.h1'], 'core': '352.a1', 'coset_action_label': None, 'count': 88, 'diagramx': [2069, -1, 6716, -1], 'generators': [441, 182], 'label': '704.1205.88.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1', 'old_label': '88.o1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611179
    {'ambient': '704.1205', 'aut_centralizer_order': 3520, 'aut_label': '88.p1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1', '44.b1', '44.p1'], 'contains': ['176.b1', '176.e1'], 'core': '176.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3047, -1, 6132, -1], 'generators': [441, 178], 'label': '704.1205.88.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '88.p1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.p1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611180
    {'ambient': '704.1205', 'aut_centralizer_order': 32, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 32, 'centralizer': '88.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.d1', '2.f1'], 'contains': ['8.a1', '8.b1', '8.c1', '8.f1', '8.g1', '44.i1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5093, 478, 5350, 458], 'generators': [2, 176, 352, 4, 64], 'label': '704.1205.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.d1', '2.f1'], 'normal_contains': ['8.a1', '8.b1', '8.c1', '8.f1', '8.g1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611181
    {'ambient': '704.1205', 'aut_centralizer_order': 640, 'aut_label': '88.q1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 14080, 'centralizer': '44.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '44.i1', '44.m1', '44.p1'], 'contains': ['176.b1', '176.f1', '176.h1'], 'core': '176.b1', 'coset_action_label': None, 'count': 22, 'diagramx': [3480, -1, 5388, -1], 'generators': [178, 4], 'label': '704.1205.88.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '88.q1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.q1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611182
    {'ambient': '704.1205', 'aut_centralizer_order': 640, 'aut_label': '88.r1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 14080, 'centralizer': '44.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.g1', '44.i1', '44.n1', '44.q1', '44.s1'], 'contains': ['176.c1', '176.f1', '176.h1'], 'core': '176.c1', 'coset_action_label': None, 'count': 22, 'diagramx': [6520, -1, 3510, -1], 'generators': [6, 176], 'label': '704.1205.88.r1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '88.r1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.r1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611183
    {'ambient': '704.1205', 'aut_centralizer_order': 320, 'aut_label': '88.s1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '88.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1', '44.j1', '44.p1'], 'contains': ['176.b1', '176.g1'], 'core': '176.b1', 'coset_action_label': None, 'count': 22, 'diagramx': [3281, -1, 6246, -1], 'generators': [349, 178], 'label': '704.1205.88.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1', 'old_label': '88.s1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.s1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611184
    {'ambient': '704.1205', 'aut_centralizer_order': 320, 'aut_label': '88.t1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '88.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '44.j1', '44.o1', '44.q1', '44.t1'], 'contains': ['176.c1', '176.g1'], 'core': '176.c1', 'coset_action_label': None, 'count': 22, 'diagramx': [6728, -1, 3223, -1], 'generators': [351, 176], 'label': '704.1205.88.t1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '88.t1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.t1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110611185
    {'ambient': '704.1205', 'aut_centralizer_order': 320, 'aut_label': '88.u1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '88.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.w1', '44.k1', '44.m1'], 'contains': ['176.b1', '176.i1'], 'core': '176.b1', 'coset_action_label': None, 'count': 22, 'diagramx': [5183, -1, 4563, -1], 'generators': [5, 178], 'label': '704.1205.88.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '88.u1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.u1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611186
    {'ambient': '704.1205', 'aut_centralizer_order': 320, 'aut_label': '88.v1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7040, 'centralizer': '88.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '44.k1', '44.n1', '44.r1', '44.t1'], 'contains': ['176.c1', '176.i1'], 'core': '176.c1', 'coset_action_label': None, 'count': 22, 'diagramx': [7401, -1, 2094, -1], 'generators': [7, 176], 'label': '704.1205.88.v1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '88.v1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.v1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110611187
    {'ambient': '704.1205', 'aut_centralizer_order': 640, 'aut_label': '88.w1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 14080, 'centralizer': '44.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.k1', '44.l1', '44.o1', '44.r1', '44.s1'], 'contains': ['176.c1'], 'core': '176.c1', 'coset_action_label': None, 'count': 22, 'diagramx': [8490, -1, 1418, -1], 'generators': [174], 'label': '704.1205.88.w1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '88.w1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.w1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611188
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '88.x1', 'aut_quo_index': None, 'aut_stab_index': 176, 'aut_weyl_group': '4.2', 'aut_weyl_index': 14080, 'centralizer': '44.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.x1', '44.g1'], 'contains': ['176.k1', '176.l1', '176.m1', '176.n1'], 'core': '352.b1', 'coset_action_label': None, 'count': 176, 'diagramx': [691, -1, 8610, -1], 'generators': [441, 2, 4], 'label': '704.1205.88.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1', 'old_label': '88.x1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.x1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611189
    {'ambient': '704.1205', 'aut_centralizer_order': 28160, 'aut_label': '176.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '88.a1', '88.e1', '88.f1', '88.g1', '88.h1', '88.i1', '88.j1'], 'contains': ['352.a1', '352.b1'], 'core': '176.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2254, 3142, 6898, 3603], 'generators': [2, 352], 'label': '704.1205.176.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '176.a1', 'normal_contained_in': ['16.a1', '88.a1'], 'normal_contains': ['352.a1', '352.b1'], 'normalizer': '1.a1', 'old_label': '176.a1', 'projective_image': '176.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '176.31', 'quotient_action_kernel_order': 176, 'quotient_fusion': None, 'short_label': '176.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611190
    {'ambient': '704.1205', 'aut_centralizer_order': 28160, 'aut_label': '176.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '2.f1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '88.a1', '88.m1', '88.p1', '88.q1', '88.s1', '88.u1'], 'contains': ['352.a1'], 'core': '176.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3563, 3839, 5834, 3923], 'generators': [178], 'label': '704.1205.176.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '176.b1', 'normal_contained_in': ['16.c1', '88.a1'], 'normal_contains': ['352.a1'], 'normalizer': '1.a1', 'old_label': '176.b1', 'projective_image': '352.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '88.4', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '176.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611191
    {'ambient': '704.1205', 'aut_centralizer_order': 16, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '176.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '2.d1', '2.g1'], 'contains': ['8.b1', '8.h1', '8.n1', '8.v1', '44.j1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5792, 6166, 5030, 6409], 'generators': [349, 176, 352, 2, 64], 'label': '704.1205.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.c1', '2.d1', '2.g1'], 'normal_contains': ['8.b1', '8.h1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611192
    {'ambient': '704.1205', 'aut_centralizer_order': 28160, 'aut_label': '176.c1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '2.f1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '88.a1', '88.b1', '88.c1', '88.d1', '88.r1', '88.t1', '88.v1', '88.w1'], 'contains': ['352.a1'], 'core': '176.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7019, 5993, 3026, 7134], 'generators': [176], 'label': '704.1205.176.c1', 'mobius_quo': 0, 'mobius_sub': -704, 'normal_closure': '176.c1', 'normal_contained_in': ['16.d1', '88.a1', '88.b1', '88.c1', '88.d1'], 'normal_contains': ['352.a1'], 'normalizer': '1.a1', 'old_label': '176.c1', 'projective_image': '352.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '88.11', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '176.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611193
    {'ambient': '704.1205', 'aut_centralizer_order': 7040, 'aut_label': '176.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '4.p1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '88.b1', '88.e1', '88.k1', '88.l1', '88.m1'], 'contains': ['352.a1', '352.c1'], 'core': '352.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4814, -1, 5414, -1], 'generators': [3, 352], 'label': '704.1205.176.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '88.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '176.d1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611194
    {'ambient': '704.1205', 'aut_centralizer_order': 7040, 'aut_label': '176.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '88.c1', '88.f1', '88.n1', '88.o1', '88.p1'], 'contains': ['352.a1', '352.d1'], 'core': '352.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1837, -1, 7158, -1], 'generators': [443, 352], 'label': '704.1205.176.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '88.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '176.e1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611195
    {'ambient': '704.1205', 'aut_centralizer_order': 1280, 'aut_label': '176.f1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '22.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '88.g1', '88.k1', '88.n1', '88.q1', '88.r1'], 'contains': ['352.a1', '352.e1'], 'core': '352.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2567, -1, 6768, -1], 'generators': [6, 352], 'label': '704.1205.176.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '176.f1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611196
    {'ambient': '704.1205', 'aut_centralizer_order': 640, 'aut_label': '176.g1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '44.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '88.h1', '88.n1', '88.o1', '88.s1', '88.t1'], 'contains': ['352.a1', '352.f1'], 'core': '352.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1993, -1, 7288, -1], 'generators': [351, 352], 'label': '704.1205.176.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1', 'old_label': '176.g1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611197
    {'ambient': '704.1205', 'aut_centralizer_order': 1280, 'aut_label': '176.h1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '22.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.e1', '88.i1', '88.l1', '88.o1', '88.q1', '88.r1'], 'contains': ['352.a1'], 'core': '352.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3177, -1, 6551, -1], 'generators': [182], 'label': '704.1205.176.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '176.h1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611198
    {'ambient': '704.1205', 'aut_centralizer_order': 640, 'aut_label': '176.i1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '44.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.i1', '88.j1', '88.k1', '88.l1', '88.u1', '88.v1'], 'contains': ['352.a1'], 'core': '352.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [4642, -1, 5008, -1], 'generators': [7], 'label': '704.1205.176.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '176.i1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611199
    {'ambient': '704.1205', 'aut_centralizer_order': 3520, 'aut_label': '176.j1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '4.p1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.j1', '88.e1'], 'contains': ['352.b1', '352.c1'], 'core': '352.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [2411, -1, 7028, -1], 'generators': [1, 2], 'label': '704.1205.176.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.p1', 'old_label': '176.j1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611200
    {'ambient': '704.1205', 'aut_centralizer_order': 3520, 'aut_label': '176.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.k1', '88.f1', '88.x1'], 'contains': ['352.b1', '352.d1'], 'core': '352.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [584, -1, 7828, -1], 'generators': [441, 2], 'label': '704.1205.176.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '176.k1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611201
    {'ambient': '704.1205', 'aut_centralizer_order': 640, 'aut_label': '176.l1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '22.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.l1', '88.g1', '88.x1'], 'contains': ['352.b1', '352.e1'], 'core': '352.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [1199, -1, 7698, -1], 'generators': [2, 4], 'label': '704.1205.176.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1', 'old_label': '176.l1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611202
    {'ambient': '704.1205', 'aut_centralizer_order': 16, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '176.a1', 'complements': ['176.n1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.e1', '2.g1'], 'contains': ['8.b1', '8.i1', '8.o1', '8.w1', '44.k1'], 'core': '4.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6520, 1417, 3785, 5170], 'generators': [5, 176, 352, 2, 64], 'label': '704.1205.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.b1', '2.e1', '2.g1'], 'normal_contains': ['8.b1', '8.i1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '176.31', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611203
    {'ambient': '704.1205', 'aut_centralizer_order': 320, 'aut_label': '176.m1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '2.1', 'aut_weyl_index': 28160, 'centralizer': '44.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.m1', '88.h1', '88.x1'], 'contains': ['352.b1', '352.f1'], 'core': '352.b1', 'coset_action_label': None, 'count': 88, 'diagramx': [897, -1, 7958, -1], 'generators': [349, 2], 'label': '704.1205.176.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1', 'old_label': '176.m1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611204
    {'ambient': '704.1205', 'aut_centralizer_order': 160, 'aut_label': '176.n1', 'aut_quo_index': None, 'aut_stab_index': 352, 'aut_weyl_group': '1.1', 'aut_weyl_index': 56320, 'centralizer': '44.g1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.n1', '88.n1', '88.x1'], 'contains': ['352.d1', '352.e1', '352.f1'], 'core': '704.a1', 'coset_action_label': None, 'count': 352, 'diagramx': [741, -1, 8088, -1], 'generators': [441, 6], 'label': '704.1205.176.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1', 'old_label': '176.n1', 'projective_image': '704.1205', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611205
    {'ambient': '704.1205', 'aut_centralizer_order': 56320, 'aut_label': '352.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 56320, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '176.a1', '176.b1', '176.c1', '176.d1', '176.e1', '176.f1', '176.g1', '176.h1', '176.i1'], 'contains': ['704.a1'], 'core': '352.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2617, 3436, 6768, 3740], 'generators': [352], 'label': '704.1205.352.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '352.a1', 'normal_contained_in': ['32.a1', '176.a1', '176.b1', '176.c1'], 'normal_contains': ['704.a1'], 'normalizer': '1.a1', 'old_label': '352.a1', 'projective_image': '352.177', 'quotient_action_image': '1.1', 'quotient_action_kernel': '352.177', 'quotient_action_kernel_order': 352, 'quotient_fusion': None, 'short_label': '352.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611206
    {'ambient': '704.1205', 'aut_centralizer_order': 28160, 'aut_label': '352.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 56320, 'centralizer': '1.a1', 'complements': ['2.h1'], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '176.a1', '176.j1', '176.k1', '176.l1', '176.m1'], 'contains': ['704.a1'], 'core': '352.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1025, 3060, 7698, 3442], 'generators': [2], 'label': '704.1205.352.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '352.b1', 'normal_contained_in': ['32.b1', '176.a1'], 'normal_contains': ['704.a1'], 'normalizer': '1.a1', 'old_label': '352.b1', 'projective_image': '352.106', 'quotient_action_image': '1.1', 'quotient_action_kernel': '352.106', 'quotient_action_kernel_order': 352, 'quotient_fusion': None, 'short_label': '352.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611207
    {'ambient': '704.1205', 'aut_centralizer_order': 7040, 'aut_label': '352.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '1.1', 'aut_weyl_index': 56320, 'centralizer': '4.p1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '176.d1', '176.j1'], 'contains': ['704.a1'], 'core': '704.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2754, -1, 7295, -1], 'generators': [3], 'label': '704.1205.352.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '88.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.p1', 'old_label': '352.c1', 'projective_image': '704.1205', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611208
    {'ambient': '704.1205', 'aut_centralizer_order': 7040, 'aut_label': '352.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '1.1', 'aut_weyl_index': 56320, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.d1', '176.e1', '176.k1', '176.n1'], 'contains': ['704.a1'], 'core': '704.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [741, -1, 7926, -1], 'generators': [443], 'label': '704.1205.352.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '88.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '352.d1', 'projective_image': '704.1205', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611209
    {'ambient': '704.1205', 'aut_centralizer_order': 1280, 'aut_label': '352.e1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '1.1', 'aut_weyl_index': 56320, 'centralizer': '22.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.e1', '176.f1', '176.l1', '176.n1'], 'contains': ['704.a1'], 'core': '704.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1162, -1, 7812, -1], 'generators': [6], 'label': '704.1205.352.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1', 'old_label': '352.e1', 'projective_image': '704.1205', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611210
    {'ambient': '704.1205', 'aut_centralizer_order': 640, 'aut_label': '352.f1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '1.1', 'aut_weyl_index': 56320, 'centralizer': '44.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.f1', '176.g1', '176.m1', '176.n1'], 'contains': ['704.a1'], 'core': '704.a1', 'coset_action_label': None, 'count': 88, 'diagramx': [887, -1, 8040, -1], 'generators': [351], 'label': '704.1205.352.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1', 'old_label': '352.f1', 'projective_image': '704.1205', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611211
    {'ambient': '704.1205', 'aut_centralizer_order': None, 'aut_label': '704.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '352.a1', '352.b1', '352.c1', '352.d1', '352.e1', '352.f1'], 'contains': [], 'core': '704.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1025, 3060, 7812, 3442], 'generators': [], 'label': '704.1205.704.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '704.a1', 'normal_contained_in': ['64.a1', '352.a1', '352.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '704.a1', 'projective_image': '704.1205', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '704.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110611229
    {'ambient': '704.1205', 'aut_centralizer_order': 64, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '880.118', 'aut_weyl_index': 64, 'centralizer': '44.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '4.o1', '4.q1'], 'contains': ['16.a1', '16.b1', '16.l1', '88.g1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2099, 1987, 8694, 1419], 'generators': [2, 352, 64, 4], 'label': '704.1205.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.c1'], 'normal_contains': ['16.a1', '16.b1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611212
    {'ambient': '704.1205', 'aut_centralizer_order': 352, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '160.229', 'aut_weyl_index': 352, 'centralizer': '4.f1', 'complements': ['176.n1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.f1', '2.g1'], 'contains': ['8.b1', '8.j1', '44.c1'], 'core': '4.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [9064, 4941, 1564, 8448], 'generators': [2, 64, 176, 88, 352], 'label': '704.1205.4.f1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1', 'normal_contained_in': ['2.a1', '2.f1', '2.g1'], 'normal_contains': ['8.b1', '8.j1', '44.c1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '176.31', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611213
    {'ambient': '704.1205', 'aut_centralizer_order': 32, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 32, 'centralizer': '88.a1', 'complements': ['176.n1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '2.e1', '2.f1'], 'contains': ['8.b1', '8.k1', '44.l1'], 'core': '4.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [7892, 2775, 2703, 3869], 'generators': [2, 176, 352, 172, 64], 'label': '704.1205.4.g1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1', 'normal_contained_in': ['2.c1', '2.e1', '2.f1'], 'normal_contains': ['8.b1', '8.k1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': '176.31', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611214
    {'ambient': '704.1205', 'aut_centralizer_order': 88, 'aut_label': '4.h1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '160.229', 'aut_weyl_index': 352, 'centralizer': '16.a1', 'complements': ['176.l1', '176.n1', '176.m1'], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '2.h1'], 'contains': ['8.d1', '8.e1', '8.j1', '44.d1'], 'core': '4.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [9376, 9522, 2419, 9128], 'generators': [3, 64, 528, 88, 352], 'label': '704.1205.4.h1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.h1', 'normal_contained_in': ['2.a1', '2.h1'], 'normal_contains': ['8.d1', '8.e1', '8.j1', '44.d1'], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': '352.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611215
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '4.i1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 32, 'centralizer': '176.a1', 'complements': ['176.n1', '176.k1', '176.m1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '2.h1'], 'contains': ['8.d1', '8.g1', '8.i1', '8.p1', '8.q1', '44.n1'], 'core': '4.i1', 'coset_action_label': None, 'count': 4, 'diagramx': [6820, 2096, 4034, 1697], 'generators': [1, 176, 352, 6, 64], 'label': '704.1205.4.i1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.i1', 'normal_contained_in': ['2.b1', '2.h1'], 'normal_contains': ['8.d1', '8.g1', '8.i1'], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': '352.177', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611216
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '4.j1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 32, 'centralizer': '176.a1', 'complements': ['176.l1', '176.n1', '176.k1'], 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '2.h1'], 'contains': ['8.d1', '8.h1', '8.k1', '44.o1'], 'core': '4.j1', 'coset_action_label': None, 'count': 4, 'diagramx': [8192, 8199, 3272, 4519], 'generators': [3, 528, 352, 172, 64], 'label': '704.1205.4.j1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.j1', 'normal_contained_in': ['2.c1', '2.h1'], 'normal_contains': ['8.d1', '8.h1', '8.k1'], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': '352.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.j1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611217
    {'ambient': '704.1205', 'aut_centralizer_order': 44, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1280.55751', 'aut_weyl_index': 44, 'centralizer': '16.a1', 'complements': ['352.e1', '352.f1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.f1', '4.h1', '22.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9064, 8571, 2413, 8108], 'generators': [1, 352, 88, 64, 2, 528], 'label': '704.1205.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.f1', '4.h1', '22.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611218
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '4.k1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 32, 'centralizer': '176.a1', 'complements': ['176.j1'], 'conjugacy_class_count': 4, 'contained_in': ['2.d1', '2.h1'], 'contains': ['8.e1', '8.g1', '8.h1', '8.s1', '8.t1', '44.q1'], 'core': '4.k1', 'coset_action_label': None, 'count': 4, 'diagramx': [6105, 6875, 5671, 2286], 'generators': [441, 176, 352, 6, 64], 'label': '704.1205.4.k1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.k1', 'normal_contained_in': ['2.d1', '2.h1'], 'normal_contains': ['8.e1', '8.g1', '8.h1'], 'normalizer': '1.a1', 'old_label': '4.k1', 'projective_image': '352.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.k1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611219
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '4.l1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 32, 'centralizer': '176.a1', 'complements': ['176.l1', '176.n1', '176.m1', '176.j1'], 'conjugacy_class_count': 4, 'contained_in': ['2.e1', '2.h1'], 'contains': ['8.e1', '8.i1', '8.k1', '44.r1'], 'core': '4.l1', 'coset_action_label': None, 'count': 4, 'diagramx': [7514, 4150, 3017, 3048], 'generators': [441, 528, 352, 542, 64], 'label': '704.1205.4.l1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.l1', 'normal_contained_in': ['2.e1', '2.h1'], 'normal_contains': ['8.e1', '8.i1', '8.k1'], 'normalizer': '1.a1', 'old_label': '4.l1', 'projective_image': '352.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.l1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611220
    {'ambient': '704.1205', 'aut_centralizer_order': 16, 'aut_label': '4.m1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '880.210', 'aut_weyl_index': 64, 'centralizer': '88.a1', 'complements': ['176.n1', '176.j1', '176.k1', '176.m1'], 'conjugacy_class_count': 4, 'contained_in': ['2.f1', '2.h1'], 'contains': ['8.g1', '8.j1', '8.k1', '44.s1'], 'core': '4.m1', 'coset_action_label': None, 'count': 4, 'diagramx': [8794, 3454, 1788, 1200], 'generators': [6, 176, 352, 88, 64], 'label': '704.1205.4.m1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.m1', 'normal_contained_in': ['2.f1', '2.h1'], 'normal_contains': ['8.g1', '8.j1', '8.k1'], 'normalizer': '1.a1', 'old_label': '4.m1', 'projective_image': '352.177', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.m1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611221
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '4.n1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 32, 'centralizer': '176.a1', 'complements': ['176.l1', '176.n1', '176.j1', '176.k1'], 'conjugacy_class_count': 4, 'contained_in': ['2.g1', '2.h1'], 'contains': ['8.h1', '8.i1', '8.j1', '44.t1'], 'core': '4.n1', 'coset_action_label': None, 'count': 4, 'diagramx': [8419, 5552, 1976, 5821], 'generators': [7, 176, 352, 88, 64], 'label': '704.1205.4.n1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.n1', 'normal_contained_in': ['2.g1', '2.h1'], 'normal_contains': ['8.h1', '8.i1', '8.j1'], 'normalizer': '1.a1', 'old_label': '4.n1', 'projective_image': '352.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.n1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611222
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '4.o1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '3520.b', 'aut_weyl_index': 16, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1'], 'contains': ['8.a1', '8.l1', '8.o1', '8.p1', '44.e1'], 'core': '8.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3471, -1, 6488, -1], 'generators': [1, 4, 352, 2, 64], 'label': '704.1205.4.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.o1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.o1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611223
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '4.p1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '3520.b', 'aut_weyl_index': 16, 'centralizer': '88.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1'], 'contains': ['8.c1', '8.l1', '8.o1', '8.q1', '44.f1'], 'core': '8.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [4019, -1, 6162, -1], 'generators': [1, 180, 352, 2, 64], 'label': '704.1205.4.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.p1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.p1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611224
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '4.q1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '3520.b', 'aut_weyl_index': 16, 'centralizer': '88.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1'], 'contains': ['8.a1', '8.m1', '8.n1', '8.s1', '8.x1', '44.g1'], 'core': '8.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1092, -1, 8987, -1], 'generators': [441, 4, 352, 2, 64], 'label': '704.1205.4.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.q1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.q1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611225
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '4.r1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '3520.b', 'aut_weyl_index': 16, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1'], 'contains': ['8.c1', '8.m1', '8.n1', '8.t1', '44.h1'], 'core': '8.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [1595, -1, 8196, -1], 'generators': [441, 180, 352, 2, 64], 'label': '704.1205.4.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.r1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.r1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611226
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '4.s1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 32, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['8.f1', '8.p1', '8.q1', '8.r1', '8.w1', '44.m1'], 'core': '8.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [4749, -1, 5896, -1], 'generators': [1, 4, 352, 178, 64], 'label': '704.1205.4.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.s1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.s1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611227
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '4.t1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 32, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.d1'], 'contains': ['8.f1', '8.s1', '8.t1', '8.u1', '8.v1', '44.p1'], 'core': '8.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [2948, -1, 7428, -1], 'generators': [441, 4, 352, 178, 64], 'label': '704.1205.4.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.t1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.t1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611228
    {'ambient': '704.1205', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1', 'complements': ['352.d1', '352.f1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.e1', '4.i1', '4.o1', '4.p1', '4.s1', '22.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6298, 2096, 4259, 2277], 'generators': [1, 64, 4, 176, 2, 352], 'label': '704.1205.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '4.e1', '4.i1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611248
    {'ambient': '704.1205', 'aut_centralizer_order': 16, 'aut_label': '8.s1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '440.42', 'aut_weyl_index': 128, 'centralizer': '88.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.k1', '4.q1', '4.t1'], 'contains': ['16.b1', '16.g1', '16.h1', '16.n1', '88.n1'], 'core': '16.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [1445, -1, 9281, -1], 'generators': [441, 352, 64, 6], 'label': '704.1205.8.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.s1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.s1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611230
    {'ambient': '704.1205', 'aut_centralizer_order': 1408, 'aut_label': '8.b1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '40.14', 'aut_weyl_index': 1408, 'centralizer': '4.f1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1', '4.f1', '4.g1'], 'contains': ['16.a1', '16.c1', '16.d1', '88.a1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6358, 4678, 3865, 5000], 'generators': [2, 64, 352, 176], 'label': '704.1205.8.b1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1', '4.f1', '4.g1'], 'normal_contains': ['16.a1', '16.c1', '16.d1', '88.a1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '176.31', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611231
    {'ambient': '704.1205', 'aut_centralizer_order': 64, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '880.118', 'aut_weyl_index': 64, 'centralizer': '44.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '4.p1', '4.r1'], 'contains': ['16.a1', '16.e1', '88.i1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2532, 1170, 8072, 636], 'generators': [2, 352, 64, 180], 'label': '704.1205.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.c1'], 'normal_contains': ['16.a1', '16.e1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611232
    {'ambient': '704.1205', 'aut_centralizer_order': 352, 'aut_label': '8.d1', 'aut_quo_index': 42, 'aut_stab_index': 2, 'aut_weyl_group': '80.46', 'aut_weyl_index': 704, 'centralizer': '16.a1', 'complements': ['88.x1'], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.h1', '4.i1', '4.j1'], 'contains': ['16.d1', '16.f1', '88.b1'], 'core': '8.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [7604, 8182, 2704, 6359], 'generators': [3, 64, 352, 176], 'label': '704.1205.8.d1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': ['4.a1', '4.h1', '4.i1', '4.j1'], 'normal_contains': ['16.d1', '88.b1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '352.177', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611233
    {'ambient': '704.1205', 'aut_centralizer_order': 352, 'aut_label': '8.e1', 'aut_quo_index': 42, 'aut_stab_index': 2, 'aut_weyl_group': '80.46', 'aut_weyl_index': 704, 'centralizer': '16.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.h1', '4.k1', '4.l1'], 'contains': ['16.d1', '16.g1', '88.c1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [6671, 6893, 4126, 5680], 'generators': [443, 64, 352, 176], 'label': '704.1205.8.e1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.e1', 'normal_contained_in': ['4.b1', '4.h1', '4.k1', '4.l1'], 'normal_contains': ['16.d1', '88.c1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611234
    {'ambient': '704.1205', 'aut_centralizer_order': 64, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 128, 'centralizer': '88.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.s1', '4.t1'], 'contains': ['16.b1', '16.c1', '16.e1', '88.q1'], 'core': '8.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [3982, 2744, 6876, 2145], 'generators': [178, 352, 64, 4], 'label': '704.1205.8.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': ['4.c1'], 'normal_contains': ['16.b1', '16.c1', '16.e1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611235
    {'ambient': '704.1205', 'aut_centralizer_order': 64, 'aut_label': '8.g1', 'aut_quo_index': 42, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 128, 'centralizer': '88.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.i1', '4.k1', '4.m1'], 'contains': ['16.b1', '16.d1', '16.e1', '88.r1'], 'core': '8.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [5972, 3454, 4529, 2824], 'generators': [6, 352, 64, 176], 'label': '704.1205.8.g1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.g1', 'normal_contained_in': ['4.c1', '4.i1', '4.k1', '4.m1'], 'normal_contains': ['16.b1', '16.d1', '16.e1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611236
    {'ambient': '704.1205', 'aut_centralizer_order': 32, 'aut_label': '8.h1', 'aut_quo_index': 42, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 64, 'centralizer': '176.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.j1', '4.k1', '4.n1'], 'contains': ['16.d1', '16.h1', '88.t1'], 'core': '8.h1', 'coset_action_label': None, 'count': 2, 'diagramx': [6913, 6287, 4327, 4478], 'generators': [351, 352, 64, 176], 'label': '704.1205.8.h1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.h1', 'normal_contained_in': ['4.d1', '4.j1', '4.k1', '4.n1'], 'normal_contains': ['16.d1'], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611237
    {'ambient': '704.1205', 'aut_centralizer_order': 32, 'aut_label': '8.i1', 'aut_quo_index': 42, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 64, 'centralizer': '176.a1', 'complements': ['88.x1'], 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '4.i1', '4.l1', '4.n1'], 'contains': ['16.d1', '16.i1', '88.v1'], 'core': '8.i1', 'coset_action_label': None, 'count': 2, 'diagramx': [7260, 4068, 2479, 4047], 'generators': [7, 352, 64, 176], 'label': '704.1205.8.i1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.i1', 'normal_contained_in': ['4.e1', '4.i1', '4.l1', '4.n1'], 'normal_contains': ['16.d1'], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': '352.177', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611238
    {'ambient': '704.1205', 'aut_centralizer_order': 704, 'aut_label': '8.j1', 'aut_quo_index': 42, 'aut_stab_index': 2, 'aut_weyl_group': '40.14', 'aut_weyl_index': 1408, 'centralizer': '4.f1', 'complements': ['88.x1'], 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '4.h1', '4.m1', '4.n1'], 'contains': ['16.d1', '88.d1'], 'core': '8.j1', 'coset_action_label': None, 'count': 2, 'diagramx': [9376, 5902, 1429, 6881], 'generators': [90, 176, 352, 64], 'label': '704.1205.8.j1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.j1', 'normal_contained_in': ['4.f1', '4.h1', '4.m1', '4.n1'], 'normal_contains': ['16.d1', '88.d1'], 'normalizer': '1.a1', 'old_label': '8.j1', 'projective_image': '352.177', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611239
    {'ambient': '704.1205', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1', 'complements': ['352.e1', '352.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.d1', '4.g1', '4.j1', '22.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7750, 7554, 3328, 5725], 'generators': [1, 64, 172, 528, 2, 352], 'label': '704.1205.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.d1', '4.g1', '4.j1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611240
    {'ambient': '704.1205', 'aut_centralizer_order': 64, 'aut_label': '8.k1', 'aut_quo_index': 42, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 128, 'centralizer': '88.a1', 'complements': ['88.x1'], 'conjugacy_class_count': 2, 'contained_in': ['4.g1', '4.j1', '4.l1', '4.m1'], 'contains': ['16.d1', '88.w1'], 'core': '8.k1', 'coset_action_label': None, 'count': 2, 'diagramx': [8192, 5287, 1708, 3554], 'generators': [174, 352, 64, 176], 'label': '704.1205.8.k1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.k1', 'normal_contained_in': ['4.g1', '4.j1', '4.l1', '4.m1'], 'normal_contains': ['16.d1'], 'normalizer': '1.a1', 'old_label': '8.k1', 'projective_image': '352.177', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611241
    {'ambient': '704.1205', 'aut_centralizer_order': 352, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '80.46', 'aut_weyl_index': 704, 'centralizer': '8.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.o1', '4.p1'], 'contains': ['16.a1', '16.f1', '16.j1', '88.e1'], 'core': '16.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3651, -1, 7152, -1], 'generators': [1, 352, 64, 2], 'label': '704.1205.8.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.l1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611242
    {'ambient': '704.1205', 'aut_centralizer_order': 352, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '80.46', 'aut_weyl_index': 704, 'centralizer': '8.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.q1', '4.r1'], 'contains': ['16.a1', '16.g1', '16.k1', '88.f1'], 'core': '16.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [739, -1, 8987, -1], 'generators': [441, 352, 64, 2], 'label': '704.1205.8.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.m1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611243
    {'ambient': '704.1205', 'aut_centralizer_order': 32, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 64, 'centralizer': '88.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '4.q1', '4.r1'], 'contains': ['16.a1', '16.h1', '16.m1', '88.h1'], 'core': '16.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1092, -1, 9574, -1], 'generators': [349, 352, 64, 2], 'label': '704.1205.8.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.n1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611244
    {'ambient': '704.1205', 'aut_centralizer_order': 32, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 64, 'centralizer': '88.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1', '4.o1', '4.p1'], 'contains': ['16.a1', '16.i1', '88.j1'], 'core': '16.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3289, -1, 6373, -1], 'generators': [5, 352, 64, 2], 'label': '704.1205.8.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.o1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611245
    {'ambient': '704.1205', 'aut_centralizer_order': 16, 'aut_label': '8.p1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '440.42', 'aut_weyl_index': 128, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.i1', '4.o1', '4.s1'], 'contains': ['16.b1', '16.f1', '16.i1', '88.k1'], 'core': '16.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [4327, -1, 6124, -1], 'generators': [1, 352, 64, 6], 'label': '704.1205.8.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.p1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.p1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611246
    {'ambient': '704.1205', 'aut_centralizer_order': 16, 'aut_label': '8.q1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '440.42', 'aut_weyl_index': 128, 'centralizer': '88.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.i1', '4.p1', '4.s1'], 'contains': ['16.e1', '16.f1', '16.i1', '88.l1'], 'core': '16.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [4796, -1, 5875, -1], 'generators': [1, 352, 64, 182], 'label': '704.1205.8.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.q1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.q1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611247
    {'ambient': '704.1205', 'aut_centralizer_order': 352, 'aut_label': '8.r1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '80.46', 'aut_weyl_index': 704, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.s1'], 'contains': ['16.c1', '16.f1', '88.m1'], 'core': '16.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [5368, -1, 5591, -1], 'generators': [1, 64, 352, 178], 'label': '704.1205.8.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.r1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.r1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110611249
    {'ambient': '704.1205', 'aut_centralizer_order': 16, 'aut_label': '8.t1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '440.42', 'aut_weyl_index': 128, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.k1', '4.r1', '4.t1'], 'contains': ['16.e1', '16.g1', '16.h1', '88.o1'], 'core': '16.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [1736, -1, 8321, -1], 'generators': [441, 352, 64, 182], 'label': '704.1205.8.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.t1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.t1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611250
    {'ambient': '704.1205', 'aut_centralizer_order': 4, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1', 'complements': ['352.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.d1', '4.k1', '4.q1', '4.r1', '4.t1', '22.d1'], 'core': '2.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5093, 6096, 5350, 3674], 'generators': [441, 64, 4, 176, 2, 352], 'label': '704.1205.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.d1', '4.k1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611251
    {'ambient': '704.1205', 'aut_centralizer_order': 352, 'aut_label': '8.u1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '80.46', 'aut_weyl_index': 704, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.t1'], 'contains': ['16.c1', '16.g1', '88.p1'], 'core': '16.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2948, -1, 7428, -1], 'generators': [441, 64, 352, 178], 'label': '704.1205.8.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.u1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.u1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110611252
    {'ambient': '704.1205', 'aut_centralizer_order': 32, 'aut_label': '8.v1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 64, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '4.t1'], 'contains': ['16.c1', '16.h1', '88.s1'], 'core': '16.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [4525, -1, 7630, -1], 'generators': [349, 352, 64, 178], 'label': '704.1205.8.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.v1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.v1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611253
    {'ambient': '704.1205', 'aut_centralizer_order': 32, 'aut_label': '8.w1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 64, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1', '4.s1'], 'contains': ['16.c1', '16.i1', '88.u1'], 'core': '16.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [5097, -1, 5149, -1], 'generators': [5, 352, 64, 178], 'label': '704.1205.8.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.w1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.w1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611254
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '8.x1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '440.42', 'aut_weyl_index': 128, 'centralizer': '88.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.q1'], 'contains': ['16.k1', '16.l1', '16.m1', '16.n1', '88.x1'], 'core': '32.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [311, -1, 9868, -1], 'generators': [441, 4, 64, 2], 'label': '704.1205.8.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '8.x1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.x1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110611255
    {'ambient': '704.1205', 'aut_centralizer_order': 10, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '512.7538135', 'aut_weyl_index': 110, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['22.a1', '22.b1', '22.c1', '22.d1', '22.e1', '22.f1', '22.g1', '22.h1'], 'core': '22.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8853, -1, 1259, -1], 'generators': [1, 2, 4, 264], 'label': '704.1205.11.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '11.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611256
    {'ambient': '704.1205', 'aut_centralizer_order': 2816, 'aut_label': '16.a1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2816, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.l1', '8.m1', '8.n1', '8.o1'], 'contains': ['32.a1', '32.b1', '176.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2122, 2394, 7756, 2729], 'generators': [2, 64, 352], 'label': '704.1205.16.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1'], 'normal_contains': ['32.a1', '32.b1', '176.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611257
    {'ambient': '704.1205', 'aut_centralizer_order': 128, 'aut_label': '16.b1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 256, 'centralizer': '44.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.f1', '8.g1', '8.p1', '8.s1'], 'contains': ['32.a1', '32.e1', '176.f1'], 'core': '16.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2749, 3454, 7425, 3251], 'generators': [6, 64, 352], 'label': '704.1205.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.f1', '8.g1'], 'normal_contains': ['32.a1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611258
    {'ambient': '704.1205', 'aut_centralizer_order': 2816, 'aut_label': '16.c1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2816, 'centralizer': '4.f1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.f1', '8.r1', '8.u1', '8.v1', '8.w1'], 'contains': ['32.a1', '176.b1'], 'core': '16.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4678, 3839, 6373, 3773], 'generators': [178, 352, 64], 'label': '704.1205.16.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.b1', '8.f1'], 'normal_contains': ['32.a1', '176.b1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '352.177', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611259
    {'ambient': '704.1205', 'aut_centralizer_order': 2816, 'aut_label': '16.d1', 'aut_quo_index': 2520, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2816, 'centralizer': '4.f1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.d1', '8.e1', '8.g1', '8.h1', '8.i1', '8.j1', '8.k1'], 'contains': ['32.a1', '176.c1'], 'core': '16.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6915, 5287, 3777, 4739], 'generators': [176, 352, 64], 'label': '704.1205.16.d1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.d1', 'normal_contained_in': ['8.b1', '8.d1', '8.e1', '8.g1', '8.h1', '8.i1', '8.j1', '8.k1'], 'normal_contains': ['32.a1', '176.c1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '352.177', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611260
    {'ambient': '704.1205', 'aut_centralizer_order': 128, 'aut_label': '16.e1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 256, 'centralizer': '44.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '8.f1', '8.g1', '8.q1', '8.t1'], 'contains': ['32.a1', '176.h1'], 'core': '16.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3263, 3004, 6868, 2145], 'generators': [182, 64, 352], 'label': '704.1205.16.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.c1', '8.f1', '8.g1'], 'normal_contains': ['32.a1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611261
    {'ambient': '704.1205', 'aut_centralizer_order': 4, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1', 'complements': ['352.e1', '352.c1', '352.f1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.e1', '4.g1', '4.l1', '22.e1'], 'core': '2.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [7292, 4142, 2953, 4747], 'generators': [5, 64, 172, 528, 2, 352], 'label': '704.1205.2.e1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.e1', '4.g1', '4.l1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611262
    {'ambient': '704.1205', 'aut_centralizer_order': 704, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2816, 'centralizer': '8.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '8.l1', '8.p1', '8.q1', '8.r1'], 'contains': ['32.a1', '32.c1', '176.d1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4396, -1, 5945, -1], 'generators': [3, 64, 352], 'label': '704.1205.16.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.f1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611263
    {'ambient': '704.1205', 'aut_centralizer_order': 704, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2816, 'centralizer': '8.m1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '8.m1', '8.s1', '8.t1', '8.u1'], 'contains': ['32.a1', '32.d1', '176.e1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1421, -1, 8273, -1], 'generators': [443, 64, 352], 'label': '704.1205.16.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.g1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611264
    {'ambient': '704.1205', 'aut_centralizer_order': 64, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '220.7', 'aut_weyl_index': 256, 'centralizer': '88.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '8.n1', '8.s1', '8.t1', '8.v1'], 'contains': ['32.a1', '32.f1', '176.g1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1662, -1, 8473, -1], 'generators': [351, 64, 352], 'label': '704.1205.16.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.h1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611265
    {'ambient': '704.1205', 'aut_centralizer_order': 64, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '220.7', 'aut_weyl_index': 256, 'centralizer': '88.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '8.o1', '8.p1', '8.q1', '8.w1'], 'contains': ['32.a1', '176.i1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4061, -1, 5721, -1], 'generators': [7, 64, 352], 'label': '704.1205.16.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.i1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110611266
    {'ambient': '704.1205', 'aut_centralizer_order': 352, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2816, 'centralizer': '8.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.l1'], 'contains': ['32.b1', '32.c1', '176.j1'], 'core': '32.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [2433, -1, 8015, -1], 'generators': [1, 64, 2], 'label': '704.1205.16.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.p1', 'old_label': '16.j1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611267
    {'ambient': '704.1205', 'aut_centralizer_order': 352, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2816, 'centralizer': '8.m1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.m1', '8.x1'], 'contains': ['32.b1', '32.d1', '176.k1'], 'core': '32.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [138, -1, 8946, -1], 'generators': [441, 64, 2], 'label': '704.1205.16.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '16.k1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611268
    {'ambient': '704.1205', 'aut_centralizer_order': 64, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '220.7', 'aut_weyl_index': 256, 'centralizer': '44.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.x1'], 'contains': ['32.b1', '32.e1', '176.l1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1033, -1, 8746, -1], 'generators': [2, 64, 4], 'label': '704.1205.16.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.l1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110611269
    {'ambient': '704.1205', 'aut_centralizer_order': 32, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '220.7', 'aut_weyl_index': 256, 'centralizer': '88.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.n1', '8.x1'], 'contains': ['32.b1', '32.f1', '176.m1'], 'core': '32.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [379, -1, 9146, -1], 'generators': [349, 64, 2], 'label': '704.1205.16.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '16.m1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110611270
    {'ambient': '704.1205', 'aut_centralizer_order': 16, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '110.1', 'aut_weyl_index': 512, 'centralizer': '88.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.s1', '8.x1'], 'contains': ['32.d1', '32.e1', '32.f1', '176.n1'], 'core': '64.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [549, -1, 9287, -1], 'generators': [441, 64, 6], 'label': '704.1205.16.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '16.n1', 'projective_image': '704.1205', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110611271
    {'ambient': '704.1205', 'aut_centralizer_order': 440, 'aut_label': '22.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 440, 'centralizer': '16.a1', 'complements': ['32.e1', '32.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '11.a1'], 'contains': ['44.a1', '44.b1', '44.c1', '44.d1'], 'core': '22.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9829, 8074, 976, 9754], 'generators': [1, 2, 264], 'label': '704.1205.22.a1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '22.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['44.a1', '44.b1', '44.c1', '44.d1'], 'normalizer': '1.a1', 'old_label': '22.a1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '22.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611272
    {'ambient': '704.1205', 'aut_centralizer_order': 8, 'aut_label': '2.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '88.a1', 'complements': ['352.c1', '352.d1', '352.f1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.f1', '4.g1', '4.m1', '22.f1'], 'core': '2.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [8721, 3121, 1792, 1473], 'generators': [2, 64, 88, 176, 4, 352], 'label': '704.1205.2.f1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.f1', '4.g1', '4.m1'], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.f1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110611273
    {'ambient': '704.1205', 'aut_centralizer_order': 40, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 440, 'centralizer': '88.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '11.a1'], 'contains': ['44.a1', '44.e1', '44.f1', '44.i1', '44.k1', '44.m1', '44.n1'], 'core': '44.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7063, -1, 3499, -1], 'generators': [1, 2, 4, 176], 'label': '704.1205.22.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.b1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110611274
    {'ambient': '704.1205', 'aut_centralizer_order': 40, 'aut_label': '22.c1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 440, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '11.a1'], 'contains': ['44.a1', '44.j1', '44.l1', '44.o1'], 'core': '44.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8853, -1, 2179, -1], 'generators': [1, 2, 172], 'label': '704.1205.22.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.c1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.c1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611275
    {'ambient': '704.1205', 'aut_centralizer_order': 40, 'aut_label': '22.d1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 440, 'centralizer': '88.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '11.a1'], 'contains': ['44.b1', '44.g1', '44.h1', '44.i1', '44.j1', '44.p1', '44.q1'], 'core': '44.b1', 'coset_action_label': None, 'count': 11, 'diagramx': [5773, -1, 4514, -1], 'generators': [441, 2, 4, 176], 'label': '704.1205.22.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.d1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.d1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110611276
    {'ambient': '704.1205', 'aut_centralizer_order': 40, 'aut_label': '22.e1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 440, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1', '11.a1'], 'contains': ['44.b1', '44.k1', '44.l1', '44.r1'], 'core': '44.b1', 'coset_action_label': None, 'count': 11, 'diagramx': [7796, -1, 1259, -1], 'generators': [261, 2, 172], 'label': '704.1205.22.e1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.e1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.e1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611277
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '22.f1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '64.202', 'aut_weyl_index': 880, 'centralizer': '88.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1', '11.a1'], 'contains': ['44.c1', '44.i1', '44.l1', '44.s1'], 'core': '44.c1', 'coset_action_label': None, 'count': 11, 'diagramx': [9413, -1, 162, -1], 'generators': [2, 4, 264], 'label': '704.1205.22.f1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.f1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110611278
    {'ambient': '704.1205', 'aut_centralizer_order': 40, 'aut_label': '22.g1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 440, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1', '11.a1'], 'contains': ['44.c1', '44.j1', '44.k1', '44.t1'], 'core': '44.c1', 'coset_action_label': None, 'count': 11, 'diagramx': [8511, -1, 512, -1], 'generators': [5, 2, 264], 'label': '704.1205.22.g1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.g1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.g1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611279
    {'ambient': '704.1205', 'aut_centralizer_order': 20, 'aut_label': '22.h1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '32.46', 'aut_weyl_index': 1760, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['2.h1', '11.a1'], 'contains': ['44.d1', '44.n1', '44.o1', '44.q1', '44.r1', '44.s1', '44.t1'], 'core': '44.d1', 'coset_action_label': None, 'count': 88, 'diagramx': [9092, -1, 777, -1], 'generators': [1, 6, 264], 'label': '704.1205.22.h1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.h1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.h1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611280
    {'ambient': '704.1205', 'aut_centralizer_order': 5632, 'aut_label': '32.a1', 'aut_quo_index': 96, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 5632, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1', '16.f1', '16.g1', '16.h1', '16.i1'], 'contains': ['64.a1', '352.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3092, 3436, 7423, 3251], 'generators': [352, 64], 'label': '704.1205.32.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1'], 'normal_contains': ['64.a1', '352.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '352.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.11', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611281
    {'ambient': '704.1205', 'aut_centralizer_order': 2816, 'aut_label': '32.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '10.2', 'aut_weyl_index': 5632, 'centralizer': '2.a1', 'complements': ['22.h1'], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '16.j1', '16.k1', '16.l1', '16.m1'], 'contains': ['64.a1', '352.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [864, 2485, 8223, 2886], 'generators': [2, 64], 'label': '704.1205.32.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1'], 'normal_contains': ['64.a1', '352.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '352.106', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.7', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611282
    {'ambient': '704.1205', 'aut_centralizer_order': 704, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '10.2', 'aut_weyl_index': 5632, 'centralizer': '8.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '16.j1'], 'contains': ['64.a1', '352.c1'], 'core': '64.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2488, -1, 7563, -1], 'generators': [3, 64], 'label': '704.1205.32.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.p1', 'old_label': '32.c1', 'projective_image': '704.1205', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611283
    {'ambient': '704.1205', 'aut_centralizer_order': 4, 'aut_label': '2.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1', 'complements': ['352.e1', '352.c1', '352.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.d1', '4.e1', '4.f1', '4.n1', '22.g1'], 'core': '2.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [8121, 5162, 2119, 6529], 'generators': [5, 64, 88, 176, 2, 352], 'label': '704.1205.2.g1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.g1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.d1', '4.e1', '4.f1', '4.n1'], 'normalizer': '1.a1', 'old_label': '2.g1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.g1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611284
    {'ambient': '704.1205', 'aut_centralizer_order': 704, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '10.2', 'aut_weyl_index': 5632, 'centralizer': '8.m1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '16.k1', '16.n1'], 'contains': ['64.a1', '352.d1'], 'core': '64.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [211, -1, 8505, -1], 'generators': [443, 64], 'label': '704.1205.32.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '32.d1', 'projective_image': '704.1205', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611285
    {'ambient': '704.1205', 'aut_centralizer_order': 128, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '110.1', 'aut_weyl_index': 512, 'centralizer': '44.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.l1', '16.n1'], 'contains': ['64.a1', '352.e1'], 'core': '64.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1035, -1, 8364, -1], 'generators': [6, 64], 'label': '704.1205.32.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.e1', 'projective_image': '704.1205', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110611286
    {'ambient': '704.1205', 'aut_centralizer_order': 64, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '110.1', 'aut_weyl_index': 512, 'centralizer': '88.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '16.m1', '16.n1'], 'contains': ['64.a1', '352.f1'], 'core': '64.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [429, -1, 8646, -1], 'generators': [351, 64], 'label': '704.1205.32.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '32.f1', 'projective_image': '704.1205', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110611287
    {'ambient': '704.1205', 'aut_centralizer_order': 1760, 'aut_label': '44.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.49', 'aut_weyl_index': 1760, 'centralizer': '8.c1', 'complements': ['16.n1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '22.a1', '22.b1', '22.c1'], 'contains': ['88.a1', '88.b1', '88.e1', '88.m1'], 'core': '44.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7621, 8026, 2276, 7918], 'generators': [1, 2, 176], 'label': '704.1205.44.a1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.a1', 'normal_contained_in': ['4.a1', '22.a1'], 'normal_contains': ['88.a1', '88.b1'], 'normalizer': '1.a1', 'old_label': '44.a1', 'projective_image': '176.31', 'quotient_action_image': '4.2', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '44.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110611288
    {'ambient': '704.1205', 'aut_centralizer_order': 1760, 'aut_label': '44.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.49', 'aut_weyl_index': 1760, 'centralizer': '8.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '22.a1', '22.d1', '22.e1'], 'contains': ['88.a1', '88.c1', '88.f1', '88.p1'], 'core': '44.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5657, 7377, 2944, 7350], 'generators': [441, 2, 176], 'label': '704.1205.44.b1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.b1', 'normal_contained_in': ['4.b1', '22.a1'], 'normal_contains': ['88.a1', '88.c1'], 'normalizer': '1.a1', 'old_label': '44.b1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110611289
    {'ambient': '704.1205', 'aut_centralizer_order': 3520, 'aut_label': '44.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3520, 'centralizer': '4.f1', 'complements': ['16.n1'], 'conjugacy_class_count': 1, 'contained_in': ['4.f1', '22.a1', '22.f1', '22.g1'], 'contains': ['88.a1', '88.d1'], 'core': '44.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9365, 5725, 452, 8485], 'generators': [2, 264], 'label': '704.1205.44.c1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.c1', 'normal_contained_in': ['4.f1', '22.a1'], 'normal_contains': ['88.a1', '88.d1'], 'normalizer': '1.a1', 'old_label': '44.c1', 'projective_image': '176.31', 'quotient_action_image': '4.2', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '44.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611290
    {'ambient': '704.1205', 'aut_centralizer_order': 880, 'aut_label': '44.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3520, 'centralizer': '16.a1', 'complements': ['16.l1', '16.n1', '16.m1'], 'conjugacy_class_count': 4, 'contained_in': ['4.h1', '22.a1', '22.h1'], 'contains': ['88.b1', '88.c1', '88.d1'], 'core': '44.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [9862, 8675, 931, 8916], 'generators': [3, 264], 'label': '704.1205.44.d1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.d1', 'normal_contained_in': ['4.h1', '22.a1'], 'normal_contains': ['88.b1', '88.c1', '88.d1'], 'normalizer': '1.a1', 'old_label': '44.d1', 'projective_image': '352.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '44.d1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611291
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '44.e1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1760, 'centralizer': '88.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1', '22.b1'], 'contains': ['88.e1', '88.g1', '88.j1', '88.k1'], 'core': '176.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4091, -1, 5352, -1], 'generators': [1, 2, 4], 'label': '704.1205.44.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '44.e1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611292
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '44.f1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1760, 'centralizer': '44.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.p1', '22.b1'], 'contains': ['88.e1', '88.i1', '88.j1', '88.l1'], 'core': '176.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4452, -1, 4930, -1], 'generators': [1, 2, 180], 'label': '704.1205.44.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '44.f1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611293
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '44.g1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1760, 'centralizer': '44.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1', '22.d1'], 'contains': ['88.f1', '88.g1', '88.h1', '88.n1', '88.x1'], 'core': '176.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1593, -1, 8481, -1], 'generators': [441, 2, 4, 352], 'label': '704.1205.44.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1', 'old_label': '44.g1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110611294
    {'ambient': '704.1205', 'aut_centralizer_order': 2, 'aut_label': '2.h1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '176.a1', 'complements': ['352.e1', '352.b1', '352.f1', '352.c1', '352.d1'], 'conjugacy_class_count': 8, 'contained_in': ['1.a1'], 'contains': ['4.h1', '4.i1', '4.j1', '4.k1', '4.l1', '4.m1', '4.n1', '22.h1'], 'core': '2.h1', 'coset_action_label': None, 'count': 8, 'diagramx': [8421, 6875, 2638, 2928], 'generators': [1, 64, 88, 528, 6, 352], 'label': '704.1205.2.h1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.h1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.h1', '4.i1', '4.j1', '4.k1', '4.l1', '4.m1', '4.n1'], 'normalizer': '1.a1', 'old_label': '2.h1', 'projective_image': '352.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.h1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110611295
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '44.h1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1760, 'centralizer': '88.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.r1', '22.d1'], 'contains': ['88.f1', '88.h1', '88.i1', '88.o1'], 'core': '176.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1896, -1, 7809, -1], 'generators': [441, 2, 180], 'label': '704.1205.44.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1', 'old_label': '44.h1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611296
    {'ambient': '704.1205', 'aut_centralizer_order': 320, 'aut_label': '44.i1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3520, 'centralizer': '44.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '22.b1', '22.d1', '22.f1'], 'contains': ['88.a1', '88.g1', '88.i1', '88.q1', '88.r1'], 'core': '88.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6199, -1, 3394, -1], 'generators': [2, 4, 176], 'label': '704.1205.44.i1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.i1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.i1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611297
    {'ambient': '704.1205', 'aut_centralizer_order': 160, 'aut_label': '44.j1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '32.49', 'aut_weyl_index': 1760, 'centralizer': '88.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '22.c1', '22.d1', '22.g1'], 'contains': ['88.a1', '88.h1', '88.s1', '88.t1'], 'core': '88.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6628, -1, 3161, -1], 'generators': [349, 2, 176], 'label': '704.1205.44.j1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.j1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.j1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110611298
    {'ambient': '704.1205', 'aut_centralizer_order': 160, 'aut_label': '44.k1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '32.49', 'aut_weyl_index': 1760, 'centralizer': '88.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1', '22.b1', '22.e1', '22.g1'], 'contains': ['88.a1', '88.j1', '88.u1', '88.v1'], 'core': '88.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7285, -1, 1911, -1], 'generators': [5, 2, 176], 'label': '704.1205.44.k1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.k1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.k1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110611299
    {'ambient': '704.1205', 'aut_centralizer_order': 320, 'aut_label': '44.l1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3520, 'centralizer': '44.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1', '22.c1', '22.e1', '22.f1'], 'contains': ['88.a1', '88.w1'], 'core': '88.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8335, -1, 1096, -1], 'generators': [2, 172], 'label': '704.1205.44.l1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.l1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611300
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '44.m1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3520, 'centralizer': '88.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.s1', '22.b1'], 'contains': ['88.k1', '88.l1', '88.m1', '88.q1', '88.u1'], 'core': '176.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [5296, -1, 4732, -1], 'generators': [1, 178, 4], 'label': '704.1205.44.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '44.m1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.m1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611301
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '44.n1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3520, 'centralizer': '88.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.i1', '22.b1', '22.h1'], 'contains': ['88.b1', '88.k1', '88.l1', '88.r1', '88.v1'], 'core': '88.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [7065, -1, 2094, -1], 'generators': [1, 6, 176], 'label': '704.1205.44.n1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.n1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.n1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110611302
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '44.o1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3520, 'centralizer': '176.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.j1', '22.c1', '22.h1'], 'contains': ['88.b1', '88.t1', '88.w1'], 'core': '88.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [8987, -1, 1556, -1], 'generators': [3, 172], 'label': '704.1205.44.o1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.o1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.o1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110611303
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '44.p1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3520, 'centralizer': '88.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.t1', '22.d1'], 'contains': ['88.n1', '88.o1', '88.p1', '88.q1', '88.s1'], 'core': '176.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [2995, -1, 6637, -1], 'generators': [441, 178, 4], 'label': '704.1205.44.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1', 'old_label': '44.p1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.p1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110611304
    {'ambient': '704.1205', 'aut_centralizer_order': 80, 'aut_label': '44.q1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3520, 'centralizer': '88.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.k1', '22.d1', '22.h1'], 'contains': ['88.c1', '88.n1', '88.o1', '88.r1', '88.t1'], 'core': '88.c1', 'coset_action_label': None, 'count': 44, 'diagramx': [5918, -1, 3628, -1], 'generators': [441, 6, 176], 'label': '704.1205.44.q1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.q1', 'projective_image': '352.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.q1', 'subgroup_fusion': None, 'weyl_group': '8.3'}