Abstract group data - 1584.122

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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': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 990, 'aut_gen_orders': [30, 30, 30, 30, 90, 30], 'aut_gens': [[1, 2, 8], [1441, 6, 924], [581, 534, 760], [1301, 6, 252], [145, 6, 252], [869, 706, 1112], [1297, 534, 1352]], 'aut_group': None, 'aut_hash': 8058055515597410150, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 47520, 'aut_permdeg': 42, 'aut_perms': [869967285960884927124117865756680896309916748164614, 246118559555309919532341778604318213076072297282133, 45892894414582711174678626161428801312118533680005, 45892988921701632351690734665159793058755159242340, 577663689475475672815306654829365258494364235860385, 46201764127634687702165357300842172175832001588947], 'aut_phi_ratio': 99.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 22, 1, 1], [2, 198, 1, 1], [3, 2, 1, 1], [4, 9, 2, 1], [4, 18, 1, 1], [4, 22, 1, 1], [4, 198, 1, 1], [6, 2, 1, 1], [6, 4, 1, 1], [6, 44, 1, 1], [9, 2, 3, 1], [11, 2, 5, 1], [12, 44, 1, 1], [18, 2, 3, 1], [18, 4, 3, 1], [18, 44, 3, 1], [22, 2, 5, 1], [22, 2, 10, 1], [33, 4, 5, 1], [36, 44, 3, 1], [44, 18, 10, 2], [66, 4, 5, 1], [66, 4, 10, 1], [99, 4, 15, 1], [198, 4, 15, 1], [198, 4, 30, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{99}.C_{30}.C_2^4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 990, 'autcentquo_group': '5940.d', 'autcentquo_hash': 4717361004838527357, 'autcentquo_nilpotent': False, 'autcentquo_order': 5940, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_{99}:C_{30}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 22, 1], [2, 198, 1], [3, 2, 1], [4, 9, 2], [4, 18, 1], [4, 22, 1], [4, 198, 1], [6, 2, 1], [6, 4, 1], [6, 44, 1], [9, 2, 3], [11, 2, 5], [12, 44, 1], [18, 2, 3], [18, 4, 3], [18, 44, 3], [22, 2, 15], [33, 4, 5], [36, 44, 3], [44, 18, 20], [66, 4, 15], [99, 4, 15], [198, 4, 45]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '792.40', 'commutator_count': 1, 'commutator_label': '198.4', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '11.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 122, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 22, 1, 1], [2, 198, 1, 1], [3, 2, 1, 1], [4, 9, 2, 1], [4, 18, 1, 1], [4, 22, 1, 1], [4, 198, 1, 1], [6, 2, 1, 1], [6, 4, 1, 1], [6, 44, 1, 1], [9, 2, 3, 1], [11, 2, 5, 1], [12, 44, 1, 1], [18, 2, 3, 1], [18, 4, 3, 1], [18, 44, 3, 1], [22, 2, 5, 1], [22, 2, 10, 1], [33, 4, 5, 1], [36, 44, 3, 1], [44, 18, 10, 2], [66, 4, 5, 1], [66, 4, 10, 1], [99, 4, 15, 1], [198, 4, 15, 1], [198, 4, 30, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24192, 'exponent': 396, 'exponents_of_order': [4, 2, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 11], 'faithful_reps': [[4, 0, 30]], 'familial': False, 'frattini_label': '6.2', 'frattini_quotient': '264.34', 'hash': 122, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 198, 'inner_gen_orders': [2, 2, 198], 'inner_gens': [[1, 2, 876], [1, 2, 712], [725, 882, 8]], 'inner_hash': 40, 'inner_nilpotent': False, 'inner_order': 792, 'inner_split': True, 'inner_tex': 'D_9\\times D_{22}', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 120, 'irrQ_dim': 240, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 58], [4, 84]], 'label': '1584.122', 'linC_count': 270, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 20, 'linQ_degree_count': 32, 'linQ_dim': 20, 'linQ_dim_count': 16, 'linR_count': 120, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D22.D18', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 30, 'number_characteristic_subgroups': 41, 'number_conjugacy_classes': 150, 'number_divisions': 30, 'number_normal_subgroups': 41, 'number_subgroup_autclasses': 120, 'number_subgroup_classes': 120, 'number_subgroups': 1848, 'old_label': None, 'order': 1584, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 223], [3, 2], [4, 256], [6, 50], [9, 6], [11, 10], [12, 44], [18, 150], [22, 30], [33, 20], [36, 132], [44, 360], [66, 60], [99, 60], [198, 180]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 30, 'outer_gen_orders': [2, 30], 'outer_gen_pows': [1408, 0], 'outer_gens': [[1, 1410, 872], [1, 6, 808]], 'outer_group': '60.13', 'outer_hash': 13, 'outer_nilpotent': True, 'outer_order': 60, 'outer_permdeg': 12, 'outer_perms': [362880, 39922593], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_{30}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 28, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 4], [4, 2], [6, 4], [10, 4], [12, 1], [20, 2], [40, 2], [60, 2], [120, 1]], 'representations': {'PC': {'code': 2407735622346666050835907763435875011745860000119, 'gens': [1, 2, 4], 'pres': [7, -2, -2, -2, 2, -3, -3, -11, 36, 24531, 9978, 80, 5604, 24931, 137, 20165, 23196, 166, 70566]}, 'Perm': {'d': 28, 'gens': [6446835113609647, 868708690492852967966208000, 1445242190515200, 20713823523993600, 12145280938112229701713920000, 4364893, 23454917710790789398855680000]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [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_{22}.D_{18}', 'transitive_degree': 792, '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: 121009154
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 122, 'group_order': 1584, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 121009216
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 122, 'group_order': 1584, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 4, 'size': 1}
  • id: 121009227
    {'aut_label': '2B', 'centralizer': '2.c1.a1', 'counter': 3, 'group_counter': 122, 'group_order': 1584, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3], 'representative': 792, 'size': 2}
  • id: 121009238
    {'aut_label': '2C', 'centralizer': '22.e1.a1', 'counter': 4, 'group_counter': 122, 'group_order': 1584, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4], 'representative': 725, 'size': 22}
  • id: 121009249
    {'aut_label': '2D', 'centralizer': '198.f1.a1', 'counter': 5, 'group_counter': 122, 'group_order': 1584, 'label': '2D', 'order': 2, 'powers': [1, 5, 5, 5], 'representative': 431, 'size': 198}
  • id: 121009260
    {'aut_label': '3A', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 122, 'group_order': 1584, 'label': '3A', 'order': 3, 'powers': [6, 1, 6, 6], 'representative': 1056, 'size': 2}
  • id: 121009271
    {'aut_label': '4A1', 'centralizer': '9.a1.a1', 'counter': 7, 'group_counter': 122, 'group_order': 1584, 'label': '4A1', 'order': 4, 'powers': [2, 8, 7, 8], 'representative': 6, 'size': 9}
  • id: 121009282
    {'aut_label': '4A1', 'centralizer': '9.a1.a1', 'counter': 8, 'group_counter': 122, 'group_order': 1584, 'label': '4A-1', 'order': 4, 'powers': [2, 7, 8, 7], 'representative': 2, 'size': 9}
  • id: 121009293
    {'aut_label': '4B', 'centralizer': '18.c1.a1', 'counter': 9, 'group_counter': 122, 'group_order': 1584, 'label': '4B', 'order': 4, 'powers': [2, 9, 9, 9], 'representative': 446, 'size': 18}
  • id: 121009155
    {'aut_label': '4C', 'centralizer': '22.f1.a1', 'counter': 10, 'group_counter': 122, 'group_order': 1584, 'label': '4C', 'order': 4, 'powers': [2, 10, 10, 10], 'representative': 1085, 'size': 22}
  • id: 121009166
    {'aut_label': '4D', 'centralizer': '198.e1.a1', 'counter': 11, 'group_counter': 122, 'group_order': 1584, 'label': '4D', 'order': 4, 'powers': [2, 11, 11, 11], 'representative': 7, 'size': 198}
  • id: 121009177
    {'aut_label': '6A', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 122, 'group_order': 1584, 'label': '6A', 'order': 6, 'powers': [6, 2, 12, 12], 'representative': 532, 'size': 2}
  • id: 121009188
    {'aut_label': '6B', 'centralizer': '4.a1.a1', 'counter': 13, 'group_counter': 122, 'group_order': 1584, 'label': '6B', 'order': 6, 'powers': [6, 3, 13, 13], 'representative': 264, 'size': 4}
  • id: 121009199
    {'aut_label': '6C', 'centralizer': '44.d1.a1', 'counter': 14, 'group_counter': 122, 'group_order': 1584, 'label': '6C', 'order': 6, 'powers': [6, 4, 14, 14], 'representative': 197, 'size': 44}
  • id: 121009210
    {'aut_label': '9A1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 122, 'group_order': 1584, 'label': '9A1', 'order': 9, 'powers': [16, 6, 17, 16], 'representative': 352, 'size': 2}
  • id: 121009212
    {'aut_label': '9A1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 122, 'group_order': 1584, 'label': '9A2', 'order': 9, 'powers': [17, 6, 15, 17], 'representative': 704, 'size': 2}
  • id: 121009213
    {'aut_label': '9A1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 122, 'group_order': 1584, 'label': '9A4', 'order': 9, 'powers': [15, 6, 16, 15], 'representative': 1408, 'size': 2}
  • id: 121009214
    {'aut_label': '11A1', 'centralizer': '2.c1.a1', 'counter': 18, 'group_counter': 122, 'group_order': 1584, 'label': '11A1', 'order': 11, 'powers': [19, 20, 22, 1], 'representative': 576, 'size': 2}
  • id: 121009215
    {'aut_label': '11A1', 'centralizer': '2.c1.a1', 'counter': 19, 'group_counter': 122, 'group_order': 1584, 'label': '11A2', 'order': 11, 'powers': [21, 22, 18, 1], 'representative': 1152, 'size': 2}
  • id: 121009217
    {'aut_label': '11A1', 'centralizer': '2.c1.a1', 'counter': 20, 'group_counter': 122, 'group_order': 1584, 'label': '11A3', 'order': 11, 'powers': [22, 19, 21, 1], 'representative': 144, 'size': 2}
  • id: 121009218
    {'aut_label': '11A1', 'centralizer': '2.c1.a1', 'counter': 21, 'group_counter': 122, 'group_order': 1584, 'label': '11A4', 'order': 11, 'powers': [20, 18, 19, 1], 'representative': 720, 'size': 2}
  • id: 121009219
    {'aut_label': '11A1', 'centralizer': '2.c1.a1', 'counter': 22, 'group_counter': 122, 'group_order': 1584, 'label': '11A5', 'order': 11, 'powers': [18, 21, 20, 1], 'representative': 1296, 'size': 2}
  • id: 121009220
    {'aut_label': '12A', 'centralizer': '44.f1.a1', 'counter': 23, 'group_counter': 122, 'group_order': 1584, 'label': '12A', 'order': 12, 'powers': [12, 10, 23, 23], 'representative': 25, 'size': 44}
  • id: 121009221
    {'aut_label': '18A1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 122, 'group_order': 1584, 'label': '18A1', 'order': 18, 'powers': [15, 12, 25, 26], 'representative': 180, 'size': 2}
  • id: 121009222
    {'aut_label': '18A1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 122, 'group_order': 1584, 'label': '18A5', 'order': 18, 'powers': [17, 12, 26, 24], 'representative': 884, 'size': 2}
  • id: 121009223
    {'aut_label': '18A1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 122, 'group_order': 1584, 'label': '18A7', 'order': 18, 'powers': [16, 12, 24, 25], 'representative': 1236, 'size': 2}
  • id: 121009224
    {'aut_label': '18B1', 'centralizer': '4.a1.a1', 'counter': 27, 'group_counter': 122, 'group_order': 1584, 'label': '18B1', 'order': 18, 'powers': [17, 13, 28, 29], 'representative': 88, 'size': 4}
  • id: 121009225
    {'aut_label': '18B1', 'centralizer': '4.a1.a1', 'counter': 28, 'group_counter': 122, 'group_order': 1584, 'label': '18B5', 'order': 18, 'powers': [16, 13, 29, 27], 'representative': 440, 'size': 4}
  • id: 121009226
    {'aut_label': '18B1', 'centralizer': '4.a1.a1', 'counter': 29, 'group_counter': 122, 'group_order': 1584, 'label': '18B7', 'order': 18, 'powers': [15, 13, 27, 28], 'representative': 616, 'size': 4}
  • id: 121009228
    {'aut_label': '18C1', 'centralizer': '44.d1.a1', 'counter': 30, 'group_counter': 122, 'group_order': 1584, 'label': '18C1', 'order': 18, 'powers': [16, 14, 31, 32], 'representative': 1077, 'size': 44}
  • id: 121009229
    {'aut_label': '18C1', 'centralizer': '44.d1.a1', 'counter': 31, 'group_counter': 122, 'group_order': 1584, 'label': '18C5', 'order': 18, 'powers': [15, 14, 32, 30], 'representative': 901, 'size': 44}
  • id: 121009230
    {'aut_label': '18C1', 'centralizer': '44.d1.a1', 'counter': 32, 'group_counter': 122, 'group_order': 1584, 'label': '18C7', 'order': 18, 'powers': [17, 14, 30, 31], 'representative': 21, 'size': 44}
  • id: 121009231
    {'aut_label': '22A1', 'centralizer': '2.c1.a1', 'counter': 33, 'group_counter': 122, 'group_order': 1584, 'label': '22A1', 'order': 22, 'powers': [18, 34, 35, 2], 'representative': 292, 'size': 2}
  • id: 121009232
    {'aut_label': '22A1', 'centralizer': '2.c1.a1', 'counter': 34, 'group_counter': 122, 'group_order': 1584, 'label': '22A3', 'order': 22, 'powers': [20, 37, 36, 2], 'representative': 868, 'size': 2}
  • id: 121009233
    {'aut_label': '22A1', 'centralizer': '2.c1.a1', 'counter': 35, 'group_counter': 122, 'group_order': 1584, 'label': '22A5', 'order': 22, 'powers': [22, 36, 34, 2], 'representative': 1444, 'size': 2}
  • id: 121009234
    {'aut_label': '22A1', 'centralizer': '2.c1.a1', 'counter': 36, 'group_counter': 122, 'group_order': 1584, 'label': '22A7', 'order': 22, 'powers': [21, 33, 37, 2], 'representative': 436, 'size': 2}
  • id: 121009235
    {'aut_label': '22A1', 'centralizer': '2.c1.a1', 'counter': 37, 'group_counter': 122, 'group_order': 1584, 'label': '22A9', 'order': 22, 'powers': [19, 35, 33, 2], 'representative': 1012, 'size': 2}
  • id: 121009236
    {'aut_label': '22B1', 'centralizer': '2.c1.a1', 'counter': 38, 'group_counter': 122, 'group_order': 1584, 'label': '22B1', 'order': 22, 'powers': [20, 40, 42, 3], 'representative': 72, 'size': 2}
  • id: 121009237
    {'aut_label': '22B1', 'centralizer': '2.c1.a1', 'counter': 39, 'group_counter': 122, 'group_order': 1584, 'label': '22B-1', 'order': 22, 'powers': [20, 41, 43, 3], 'representative': 1512, 'size': 2}
  • id: 121009239
    {'aut_label': '22B1', 'centralizer': '2.c1.a1', 'counter': 40, 'group_counter': 122, 'group_order': 1584, 'label': '22B3', 'order': 22, 'powers': [19, 46, 45, 3], 'representative': 216, 'size': 2}
  • id: 121009240
    {'aut_label': '22B1', 'centralizer': '2.c1.a1', 'counter': 41, 'group_counter': 122, 'group_order': 1584, 'label': '22B-3', 'order': 22, 'powers': [19, 47, 44, 3], 'representative': 1368, 'size': 2}
  • id: 121009241
    {'aut_label': '22B1', 'centralizer': '2.c1.a1', 'counter': 42, 'group_counter': 122, 'group_order': 1584, 'label': '22B5', 'order': 22, 'powers': [21, 45, 40, 3], 'representative': 360, 'size': 2}
  • id: 121009242
    {'aut_label': '22B1', 'centralizer': '2.c1.a1', 'counter': 43, 'group_counter': 122, 'group_order': 1584, 'label': '22B-5', 'order': 22, 'powers': [21, 44, 41, 3], 'representative': 1224, 'size': 2}
  • id: 121009243
    {'aut_label': '22B1', 'centralizer': '2.c1.a1', 'counter': 44, 'group_counter': 122, 'group_order': 1584, 'label': '22B7', 'order': 22, 'powers': [18, 39, 47, 3], 'representative': 504, 'size': 2}
  • id: 121009244
    {'aut_label': '22B1', 'centralizer': '2.c1.a1', 'counter': 45, 'group_counter': 122, 'group_order': 1584, 'label': '22B-7', 'order': 22, 'powers': [18, 38, 46, 3], 'representative': 1080, 'size': 2}
  • id: 121009245
    {'aut_label': '22B1', 'centralizer': '2.c1.a1', 'counter': 46, 'group_counter': 122, 'group_order': 1584, 'label': '22B9', 'order': 22, 'powers': [22, 42, 38, 3], 'representative': 648, 'size': 2}
  • id: 121009246
    {'aut_label': '22B1', 'centralizer': '2.c1.a1', 'counter': 47, 'group_counter': 122, 'group_order': 1584, 'label': '22B-9', 'order': 22, 'powers': [22, 43, 39, 3], 'representative': 936, 'size': 2}
  • id: 121009247
    {'aut_label': '33A1', 'centralizer': '4.a1.a1', 'counter': 48, 'group_counter': 122, 'group_order': 1584, 'label': '33A1', 'order': 33, 'powers': [49, 22, 51, 6], 'representative': 96, 'size': 4}
  • id: 121009248
    {'aut_label': '33A1', 'centralizer': '4.a1.a1', 'counter': 49, 'group_counter': 122, 'group_order': 1584, 'label': '33A2', 'order': 33, 'powers': [50, 18, 48, 6], 'representative': 192, 'size': 4}
  • id: 121009250
    {'aut_label': '33A1', 'centralizer': '4.a1.a1', 'counter': 50, 'group_counter': 122, 'group_order': 1584, 'label': '33A4', 'order': 33, 'powers': [52, 19, 49, 6], 'representative': 384, 'size': 4}
  • id: 121009251
    {'aut_label': '33A1', 'centralizer': '4.a1.a1', 'counter': 51, 'group_counter': 122, 'group_order': 1584, 'label': '33A5', 'order': 33, 'powers': [48, 20, 52, 6], 'representative': 480, 'size': 4}
  • id: 121009252
    {'aut_label': '33A1', 'centralizer': '4.a1.a1', 'counter': 52, 'group_counter': 122, 'group_order': 1584, 'label': '33A8', 'order': 33, 'powers': [51, 21, 50, 6], 'representative': 768, 'size': 4}
  • id: 121009253
    {'aut_label': '36A1', 'centralizer': '44.f1.a1', 'counter': 53, 'group_counter': 122, 'group_order': 1584, 'label': '36A1', 'order': 36, 'powers': [26, 23, 54, 55], 'representative': 1261, 'size': 44}
  • id: 121009254
    {'aut_label': '36A1', 'centralizer': '44.f1.a1', 'counter': 54, 'group_counter': 122, 'group_order': 1584, 'label': '36A5', 'order': 36, 'powers': [24, 23, 55, 53], 'representative': 381, 'size': 44}
  • id: 121009255
    {'aut_label': '36A1', 'centralizer': '44.f1.a1', 'counter': 55, 'group_counter': 122, 'group_order': 1584, 'label': '36A7', 'order': 36, 'powers': [25, 23, 53, 54], 'representative': 729, 'size': 44}
  • id: 121009256
    {'aut_label': '44A1', 'centralizer': '18.c1.a1', 'counter': 56, 'group_counter': 122, 'group_order': 1584, 'label': '44A1', 'order': 44, 'powers': [33, 58, 60, 7], 'representative': 146, 'size': 18}
  • id: 121009257
    {'aut_label': '44A1', 'centralizer': '18.c1.a1', 'counter': 57, 'group_counter': 122, 'group_order': 1584, 'label': '44A-1', 'order': 44, 'powers': [33, 59, 61, 8], 'representative': 150, 'size': 18}
  • id: 121009258
    {'aut_label': '44A1', 'centralizer': '18.c1.a1', 'counter': 58, 'group_counter': 122, 'group_order': 1584, 'label': '44A3', 'order': 44, 'powers': [34, 64, 62, 8], 'representative': 102, 'size': 18}
  • id: 121009259
    {'aut_label': '44A1', 'centralizer': '18.c1.a1', 'counter': 59, 'group_counter': 122, 'group_order': 1584, 'label': '44A-3', 'order': 44, 'powers': [34, 65, 63, 7], 'representative': 98, 'size': 18}
  • id: 121009261
    {'aut_label': '44A1', 'centralizer': '18.c1.a1', 'counter': 60, 'group_counter': 122, 'group_order': 1584, 'label': '44A5', 'order': 44, 'powers': [35, 62, 59, 7], 'representative': 18, 'size': 18}
  • id: 121009262
    {'aut_label': '44A1', 'centralizer': '18.c1.a1', 'counter': 61, 'group_counter': 122, 'group_order': 1584, 'label': '44A-5', 'order': 44, 'powers': [35, 63, 58, 8], 'representative': 22, 'size': 18}
  • id: 121009263
    {'aut_label': '44A1', 'centralizer': '18.c1.a1', 'counter': 62, 'group_counter': 122, 'group_order': 1584, 'label': '44A7', 'order': 44, 'powers': [36, 56, 65, 8], 'representative': 54, 'size': 18}
  • id: 121009264
    {'aut_label': '44A1', 'centralizer': '18.c1.a1', 'counter': 63, 'group_counter': 122, 'group_order': 1584, 'label': '44A-7', 'order': 44, 'powers': [36, 57, 64, 7], 'representative': 50, 'size': 18}
  • id: 121009265
    {'aut_label': '44A1', 'centralizer': '18.c1.a1', 'counter': 64, 'group_counter': 122, 'group_order': 1584, 'label': '44A9', 'order': 44, 'powers': [37, 61, 56, 7], 'representative': 290, 'size': 18}
  • id: 121009266
    {'aut_label': '44A1', 'centralizer': '18.c1.a1', 'counter': 65, 'group_counter': 122, 'group_order': 1584, 'label': '44A-9', 'order': 44, 'powers': [37, 60, 57, 8], 'representative': 294, 'size': 18}
  • id: 121009267
    {'aut_label': '44B1', 'centralizer': '18.c1.a1', 'counter': 66, 'group_counter': 122, 'group_order': 1584, 'label': '44B1', 'order': 44, 'powers': [34, 67, 68, 9], 'representative': 10, 'size': 18}
  • id: 121009268
    {'aut_label': '44B1', 'centralizer': '18.c1.a1', 'counter': 67, 'group_counter': 122, 'group_order': 1584, 'label': '44B3', 'order': 44, 'powers': [37, 70, 72, 9], 'representative': 154, 'size': 18}
  • id: 121009269
    {'aut_label': '44B1', 'centralizer': '18.c1.a1', 'counter': 68, 'group_counter': 122, 'group_order': 1584, 'label': '44B5', 'order': 44, 'powers': [36, 72, 74, 9], 'representative': 42, 'size': 18}
  • id: 121009270
    {'aut_label': '44B1', 'centralizer': '18.c1.a1', 'counter': 69, 'group_counter': 122, 'group_order': 1584, 'label': '44B7', 'order': 44, 'powers': [33, 75, 70, 9], 'representative': 298, 'size': 18}
  • id: 121009272
    {'aut_label': '44B1', 'centralizer': '18.c1.a1', 'counter': 70, 'group_counter': 122, 'group_order': 1584, 'label': '44B9', 'order': 44, 'powers': [35, 73, 66, 9], 'representative': 1306, 'size': 18}
  • id: 121009273
    {'aut_label': '44B1', 'centralizer': '18.c1.a1', 'counter': 71, 'group_counter': 122, 'group_order': 1584, 'label': '44B13', 'order': 44, 'powers': [35, 68, 75, 9], 'representative': 106, 'size': 18}
  • id: 121009274
    {'aut_label': '44B1', 'centralizer': '18.c1.a1', 'counter': 72, 'group_counter': 122, 'group_order': 1584, 'label': '44B15', 'order': 44, 'powers': [33, 66, 71, 9], 'representative': 58, 'size': 18}
  • id: 121009275
    {'aut_label': '44B1', 'centralizer': '18.c1.a1', 'counter': 73, 'group_counter': 122, 'group_order': 1584, 'label': '44B17', 'order': 44, 'powers': [36, 69, 67, 9], 'representative': 1018, 'size': 18}
  • id: 121009276
    {'aut_label': '44B1', 'centralizer': '18.c1.a1', 'counter': 74, 'group_counter': 122, 'group_order': 1584, 'label': '44B19', 'order': 44, 'powers': [37, 71, 69, 9], 'representative': 26, 'size': 18}
  • id: 121009277
    {'aut_label': '44B1', 'centralizer': '18.c1.a1', 'counter': 75, 'group_counter': 122, 'group_order': 1584, 'label': '44B21', 'order': 44, 'powers': [34, 74, 73, 9], 'representative': 14, 'size': 18}
  • id: 121009278
    {'aut_label': '66A1', 'centralizer': '4.a1.a1', 'counter': 76, 'group_counter': 122, 'group_order': 1584, 'label': '66A1', 'order': 66, 'powers': [48, 35, 77, 12], 'representative': 52, 'size': 4}
  • id: 121009279
    {'aut_label': '66A1', 'centralizer': '4.a1.a1', 'counter': 77, 'group_counter': 122, 'group_order': 1584, 'label': '66A5', 'order': 66, 'powers': [51, 34, 80, 12], 'representative': 244, 'size': 4}
  • id: 121009280
    {'aut_label': '66A1', 'centralizer': '4.a1.a1', 'counter': 78, 'group_counter': 122, 'group_order': 1584, 'label': '66A7', 'order': 66, 'powers': [50, 37, 79, 12], 'representative': 340, 'size': 4}
  • id: 121009281
    {'aut_label': '66A1', 'centralizer': '4.a1.a1', 'counter': 79, 'group_counter': 122, 'group_order': 1584, 'label': '66A13', 'order': 66, 'powers': [49, 33, 76, 12], 'representative': 628, 'size': 4}
  • id: 121009283
    {'aut_label': '66A1', 'centralizer': '4.a1.a1', 'counter': 80, 'group_counter': 122, 'group_order': 1584, 'label': '66A19', 'order': 66, 'powers': [52, 36, 78, 12], 'representative': 916, 'size': 4}
  • id: 121009284
    {'aut_label': '66B1', 'centralizer': '4.a1.a1', 'counter': 81, 'group_counter': 122, 'group_order': 1584, 'label': '66B1', 'order': 66, 'powers': [51, 38, 83, 13], 'representative': 24, 'size': 4}
  • id: 121009285
    {'aut_label': '66B1', 'centralizer': '4.a1.a1', 'counter': 82, 'group_counter': 122, 'group_order': 1584, 'label': '66B-1', 'order': 66, 'powers': [51, 39, 84, 13], 'representative': 1560, 'size': 4}
  • id: 121009286
    {'aut_label': '66B1', 'centralizer': '4.a1.a1', 'counter': 83, 'group_counter': 122, 'group_order': 1584, 'label': '66B5', 'order': 66, 'powers': [52, 42, 90, 13], 'representative': 120, 'size': 4}
  • id: 121009287
    {'aut_label': '66B1', 'centralizer': '4.a1.a1', 'counter': 84, 'group_counter': 122, 'group_order': 1584, 'label': '66B-5', 'order': 66, 'powers': [52, 43, 89, 13], 'representative': 1464, 'size': 4}
  • id: 121009288
    {'aut_label': '66B1', 'centralizer': '4.a1.a1', 'counter': 85, 'group_counter': 122, 'group_order': 1584, 'label': '66B7', 'order': 66, 'powers': [49, 44, 87, 13], 'representative': 168, 'size': 4}
  • id: 121009289
    {'aut_label': '66B1', 'centralizer': '4.a1.a1', 'counter': 86, 'group_counter': 122, 'group_order': 1584, 'label': '66B-7', 'order': 66, 'powers': [49, 45, 88, 13], 'representative': 1416, 'size': 4}
  • id: 121009290
    {'aut_label': '66B1', 'centralizer': '4.a1.a1', 'counter': 87, 'group_counter': 122, 'group_order': 1584, 'label': '66B13', 'order': 66, 'powers': [48, 47, 82, 13], 'representative': 312, 'size': 4}
  • id: 121009291
    {'aut_label': '66B1', 'centralizer': '4.a1.a1', 'counter': 88, 'group_counter': 122, 'group_order': 1584, 'label': '66B-13', 'order': 66, 'powers': [48, 46, 81, 13], 'representative': 1272, 'size': 4}
  • id: 121009292
    {'aut_label': '66B1', 'centralizer': '4.a1.a1', 'counter': 89, 'group_counter': 122, 'group_order': 1584, 'label': '66B19', 'order': 66, 'powers': [50, 41, 85, 13], 'representative': 456, 'size': 4}
  • id: 121009294
    {'aut_label': '66B1', 'centralizer': '4.a1.a1', 'counter': 90, 'group_counter': 122, 'group_order': 1584, 'label': '66B-19', 'order': 66, 'powers': [50, 40, 86, 13], 'representative': 1128, 'size': 4}
  • id: 121009295
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 91, 'group_counter': 122, 'group_order': 1584, 'label': '99A1', 'order': 99, 'powers': [92, 48, 94, 15], 'representative': 32, 'size': 4}
  • id: 121009296
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 92, 'group_counter': 122, 'group_order': 1584, 'label': '99A2', 'order': 99, 'powers': [93, 49, 91, 16], 'representative': 64, 'size': 4}
  • id: 121009297
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 93, 'group_counter': 122, 'group_order': 1584, 'label': '99A4', 'order': 99, 'powers': [96, 50, 92, 17], 'representative': 128, 'size': 4}
  • id: 121009298
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 94, 'group_counter': 122, 'group_order': 1584, 'label': '99A5', 'order': 99, 'powers': [91, 51, 102, 17], 'representative': 160, 'size': 4}
  • id: 121009299
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 95, 'group_counter': 122, 'group_order': 1584, 'label': '99A7', 'order': 99, 'powers': [98, 50, 105, 16], 'representative': 224, 'size': 4}
  • id: 121009300
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 96, 'group_counter': 122, 'group_order': 1584, 'label': '99A8', 'order': 99, 'powers': [99, 52, 93, 15], 'representative': 256, 'size': 4}
  • id: 121009301
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 97, 'group_counter': 122, 'group_order': 1584, 'label': '99A13', 'order': 99, 'powers': [103, 49, 104, 17], 'representative': 416, 'size': 4}
  • id: 121009302
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 98, 'group_counter': 122, 'group_order': 1584, 'label': '99A14', 'order': 99, 'powers': [100, 52, 95, 17], 'representative': 448, 'size': 4}
  • id: 121009303
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 99, 'group_counter': 122, 'group_order': 1584, 'label': '99A16', 'order': 99, 'powers': [101, 51, 96, 16], 'representative': 512, 'size': 4}
  • id: 121009156
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 100, 'group_counter': 122, 'group_order': 1584, 'label': '99A17', 'order': 99, 'powers': [104, 51, 98, 15], 'representative': 544, 'size': 4}
  • id: 121009157
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 101, 'group_counter': 122, 'group_order': 1584, 'label': '99A23', 'order': 99, 'powers': [105, 48, 99, 17], 'representative': 736, 'size': 4}
  • id: 121009158
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 102, 'group_counter': 122, 'group_order': 1584, 'label': '99A25', 'order': 99, 'powers': [94, 52, 103, 16], 'representative': 800, 'size': 4}
  • id: 121009159
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 103, 'group_counter': 122, 'group_order': 1584, 'label': '99A26', 'order': 99, 'powers': [102, 50, 97, 15], 'representative': 832, 'size': 4}
  • id: 121009160
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 104, 'group_counter': 122, 'group_order': 1584, 'label': '99A34', 'order': 99, 'powers': [97, 48, 100, 16], 'representative': 1088, 'size': 4}
  • id: 121009161
    {'aut_label': '99A1', 'centralizer': '4.a1.a1', 'counter': 105, 'group_counter': 122, 'group_order': 1584, 'label': '99A35', 'order': 99, 'powers': [95, 49, 101, 15], 'representative': 1120, 'size': 4}
  • id: 121009162
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 106, 'group_counter': 122, 'group_order': 1584, 'label': '198A1', 'order': 198, 'powers': [91, 76, 107, 24], 'representative': 20, 'size': 4}
  • id: 121009163
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 107, 'group_counter': 122, 'group_order': 1584, 'label': '198A5', 'order': 198, 'powers': [94, 77, 113, 25], 'representative': 84, 'size': 4}
  • id: 121009164
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 108, 'group_counter': 122, 'group_order': 1584, 'label': '198A7', 'order': 198, 'powers': [95, 78, 114, 26], 'representative': 116, 'size': 4}
  • id: 121009165
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 109, 'group_counter': 122, 'group_order': 1584, 'label': '198A13', 'order': 198, 'powers': [97, 79, 117, 25], 'representative': 212, 'size': 4}
  • id: 121009167
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 110, 'group_counter': 122, 'group_order': 1584, 'label': '198A17', 'order': 198, 'powers': [100, 77, 116, 24], 'representative': 452, 'size': 4}
  • id: 121009168
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 111, 'group_counter': 122, 'group_order': 1584, 'label': '198A19', 'order': 198, 'powers': [96, 80, 118, 24], 'representative': 308, 'size': 4}
  • id: 121009169
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 112, 'group_counter': 122, 'group_order': 1584, 'label': '198A23', 'order': 198, 'powers': [101, 76, 119, 25], 'representative': 372, 'size': 4}
  • id: 121009170
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 113, 'group_counter': 122, 'group_order': 1584, 'label': '198A25', 'order': 198, 'powers': [102, 80, 115, 26], 'representative': 756, 'size': 4}
  • id: 121009171
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 114, 'group_counter': 122, 'group_order': 1584, 'label': '198A35', 'order': 198, 'powers': [105, 79, 112, 24], 'representative': 740, 'size': 4}
  • id: 121009172
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 115, 'group_counter': 122, 'group_order': 1584, 'label': '198A37', 'order': 198, 'powers': [103, 78, 109, 24], 'representative': 596, 'size': 4}
  • id: 121009173
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 116, 'group_counter': 122, 'group_order': 1584, 'label': '198A41', 'order': 198, 'powers': [98, 80, 108, 25], 'representative': 228, 'size': 4}
  • id: 121009174
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 117, 'group_counter': 122, 'group_order': 1584, 'label': '198A43', 'order': 198, 'powers': [104, 76, 110, 26], 'representative': 900, 'size': 4}
  • id: 121009175
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 118, 'group_counter': 122, 'group_order': 1584, 'label': '198A59', 'order': 198, 'powers': [93, 78, 120, 25], 'representative': 68, 'size': 4}
  • id: 121009176
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 119, 'group_counter': 122, 'group_order': 1584, 'label': '198A61', 'order': 198, 'powers': [99, 77, 111, 26], 'representative': 612, 'size': 4}
  • id: 121009178
    {'aut_label': '198A1', 'centralizer': '4.a1.a1', 'counter': 120, 'group_counter': 122, 'group_order': 1584, 'label': '198A79', 'order': 198, 'powers': [92, 79, 106, 26], 'representative': 36, 'size': 4}
  • id: 121009179
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 121, 'group_counter': 122, 'group_order': 1584, 'label': '198B1', 'order': 198, 'powers': [94, 81, 123, 27], 'representative': 8, 'size': 4}
  • id: 121009180
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 122, 'group_counter': 122, 'group_order': 1584, 'label': '198B-1', 'order': 198, 'powers': [94, 82, 124, 27], 'representative': 12, 'size': 4}
  • id: 121009181
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 123, 'group_counter': 122, 'group_order': 1584, 'label': '198B5', 'order': 198, 'powers': [102, 83, 135, 28], 'representative': 40, 'size': 4}
  • id: 121009182
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 124, 'group_counter': 122, 'group_order': 1584, 'label': '198B-5', 'order': 198, 'powers': [102, 84, 136, 28], 'representative': 44, 'size': 4}
  • id: 121009183
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 125, 'group_counter': 122, 'group_order': 1584, 'label': '198B7', 'order': 198, 'powers': [105, 85, 137, 29], 'representative': 56, 'size': 4}
  • id: 121009184
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 126, 'group_counter': 122, 'group_order': 1584, 'label': '198B-7', 'order': 198, 'powers': [105, 86, 138, 29], 'representative': 60, 'size': 4}
  • id: 121009185
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 127, 'group_counter': 122, 'group_order': 1584, 'label': '198B13', 'order': 198, 'powers': [104, 87, 143, 28], 'representative': 104, 'size': 4}
  • id: 121009186
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 128, 'group_counter': 122, 'group_order': 1584, 'label': '198B-13', 'order': 198, 'powers': [104, 88, 144, 28], 'representative': 248, 'size': 4}
  • id: 121009187
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 129, 'group_counter': 122, 'group_order': 1584, 'label': '198B17', 'order': 198, 'powers': [98, 84, 141, 27], 'representative': 1016, 'size': 4}
  • id: 121009189
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 130, 'group_counter': 122, 'group_order': 1584, 'label': '198B-17', 'order': 198, 'powers': [98, 83, 142, 27], 'representative': 1448, 'size': 4}
  • id: 121009190
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 131, 'group_counter': 122, 'group_order': 1584, 'label': '198B19', 'order': 198, 'powers': [93, 89, 146, 27], 'representative': 152, 'size': 4}
  • id: 121009191
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 132, 'group_counter': 122, 'group_order': 1584, 'label': '198B-19', 'order': 198, 'powers': [93, 90, 145, 27], 'representative': 728, 'size': 4}
  • id: 121009192
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 133, 'group_counter': 122, 'group_order': 1584, 'label': '198B23', 'order': 198, 'powers': [99, 81, 148, 28], 'representative': 184, 'size': 4}
  • id: 121009193
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 134, 'group_counter': 122, 'group_order': 1584, 'label': '198B-23', 'order': 198, 'powers': [99, 82, 147, 28], 'representative': 1048, 'size': 4}
  • id: 121009194
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 135, 'group_counter': 122, 'group_order': 1584, 'label': '198B25', 'order': 198, 'powers': [103, 90, 139, 29], 'representative': 200, 'size': 4}
  • id: 121009195
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 136, 'group_counter': 122, 'group_order': 1584, 'label': '198B-25', 'order': 198, 'powers': [103, 89, 140, 29], 'representative': 1208, 'size': 4}
  • id: 121009196
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 137, 'group_counter': 122, 'group_order': 1584, 'label': '198B35', 'order': 198, 'powers': [101, 87, 134, 27], 'representative': 1160, 'size': 4}
  • id: 121009197
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 138, 'group_counter': 122, 'group_order': 1584, 'label': '198B-35', 'order': 198, 'powers': [101, 88, 133, 27], 'representative': 1304, 'size': 4}
  • id: 121009198
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 139, 'group_counter': 122, 'group_order': 1584, 'label': '198B37', 'order': 198, 'powers': [97, 86, 128, 27], 'representative': 296, 'size': 4}
  • id: 121009200
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 140, 'group_counter': 122, 'group_order': 1584, 'label': '198B-37', 'order': 198, 'powers': [97, 85, 127, 27], 'representative': 584, 'size': 4}
  • id: 121009201
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 141, 'group_counter': 122, 'group_order': 1584, 'label': '198B41', 'order': 198, 'powers': [95, 89, 125, 28], 'representative': 328, 'size': 4}
  • id: 121009202
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 142, 'group_counter': 122, 'group_order': 1584, 'label': '198B-41', 'order': 198, 'powers': [95, 90, 126, 28], 'representative': 904, 'size': 4}
  • id: 121009203
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 143, 'group_counter': 122, 'group_order': 1584, 'label': '198B43', 'order': 198, 'powers': [100, 82, 129, 29], 'representative': 344, 'size': 4}
  • id: 121009204
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 144, 'group_counter': 122, 'group_order': 1584, 'label': '198B-43', 'order': 198, 'powers': [100, 81, 130, 29], 'representative': 1064, 'size': 4}
  • id: 121009205
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 145, 'group_counter': 122, 'group_order': 1584, 'label': '198B59', 'order': 198, 'powers': [92, 86, 150, 28], 'representative': 472, 'size': 4}
  • id: 121009206
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 146, 'group_counter': 122, 'group_order': 1584, 'label': '198B-59', 'order': 198, 'powers': [92, 85, 149, 28], 'representative': 760, 'size': 4}
  • id: 121009207
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 147, 'group_counter': 122, 'group_order': 1584, 'label': '198B61', 'order': 198, 'powers': [96, 84, 131, 29], 'representative': 488, 'size': 4}
  • id: 121009208
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 148, 'group_counter': 122, 'group_order': 1584, 'label': '198B-61', 'order': 198, 'powers': [96, 83, 132, 29], 'representative': 920, 'size': 4}
  • id: 121009209
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 149, 'group_counter': 122, 'group_order': 1584, 'label': '198B79', 'order': 198, 'powers': [91, 87, 122, 29], 'representative': 632, 'size': 4}
  • id: 121009211
    {'aut_label': '198B1', 'centralizer': '4.a1.a1', 'counter': 150, 'group_counter': 122, 'group_order': 1584, 'label': '198B-79', 'order': 198, 'powers': [91, 88, 121, 29], 'representative': 776, '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: 6776891
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6776902
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6776913
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6776915
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6776916
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6776917
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6776918
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6776919
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6776920
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6776892
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2b', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 2, 0, 0, 0, 2, 0, 2, -2, -2, -1, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, 1, 1, 1, 1, 1, 1, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 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: 6776893
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2c', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 0, 2, 0, 0, 0, -2, 0, 2, -2, 2, -1, -1, -1, 2, 2, 2, 2, 2, -2, -1, -1, -1, 1, 1, 1, -1, -1, -1, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 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: 6776894
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 0, 2, 0, 0, 0, -2, 0, 2, 2, -2, -1, -1, -1, 2, 2, 2, 2, 2, -2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6776895
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2e', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, -4, 0, 0, 0, 0, 0, -4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, -4, 0, 0, 0, -4, -4, 0, -4, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6776906
    {'cdim': 4, 'counter': 23, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.4a', 'multiplicity': 1, 'nt': [24, 18], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, -2, -2, -2, 4, 4, 4, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, -4, 0, 0, 0, 0, 0, -4, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 6776896
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2f', 'multiplicity': 3, 'nt': [9, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 0, -3, 0, 0, 0, 6, 0, -3, -3, -3, 0, 0, 0, 6, 6, 6, 6, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6776897
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2g', 'multiplicity': 3, 'nt': [18, 13], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 0, -3, 0, 0, 0, 6, 0, -3, 3, 3, 0, 0, 0, 6, 6, 6, 6, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, -6, -6, 6, 6, 6, -6, -6, -6, -6, -6, -6, 6, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, -3, -3, 3, -3, -3, 3, 3, 3, 3, 3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6776898
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2h', 'multiplicity': 3, 'nt': [18, 13], 'qdim': 6, 'qvalues': [6, 6, -6, 6, 0, -3, 0, 0, 0, -6, 0, -3, 3, -3, 0, 0, 0, 6, 6, 6, 6, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, -6, -6, 6, 6, 6, -6, -6, -6, -6, -6, -6, 6, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, -3, -3, 3, -3, -3, 3, 3, 3, 3, 3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6776899
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2i', 'multiplicity': 3, 'nt': [18, 13], 'qdim': 6, 'qvalues': [6, 6, 6, -6, 0, -3, 0, 0, 0, -6, 0, -3, -3, 3, 0, 0, 0, 6, 6, 6, 6, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6776900
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2j', 'multiplicity': 5, 'nt': [11, 2], 'qdim': 10, 'qvalues': [10, 10, 10, 0, 0, 10, 10, 10, 10, 0, 0, 10, 10, 0, 10, 10, 10, -1, -1, -1, -1, -1, 0, 10, 10, 10, 10, 10, 10, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6776901
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2k', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, -10, 0, 0, 10, -10, -10, 10, 0, 0, 10, -10, 0, 10, 10, 10, -1, -1, -1, -1, -1, 0, 10, 10, 10, -10, -10, -10, 0, 0, 0, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 0, 0, 0, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6776903
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2l', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, -10, 0, 0, 10, 10, 10, -10, 0, 0, 10, -10, 0, 10, 10, 10, -1, -1, -1, -1, -1, 0, 10, 10, 10, -10, -10, -10, 0, 0, 0, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6776904
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2m', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 0, 0, 10, -10, -10, -10, 0, 0, 10, 10, 0, 10, 10, 10, -1, -1, -1, -1, -1, 0, 10, 10, 10, 10, 10, 10, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6776907
    {'cdim': 4, 'counter': 24, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.4b', 'multiplicity': 3, 'nt': [72, 0], 'qdim': 12, 'qvalues': [12, -12, 0, 0, 0, -6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, -12, -12, -12, 0, 0, 0, 0, 0, 0, -12, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 6776908
    {'cdim': 4, 'counter': 25, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.4c', 'multiplicity': 5, 'nt': [33, 5], 'qdim': 20, 'qvalues': [20, 20, 20, 0, 0, 20, 0, 0, 0, 0, 0, 20, 20, 0, -10, -10, -10, -2, -2, -2, -2, -2, 0, -10, -10, -10, -10, -10, -10, 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, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 6776909
    {'cdim': 4, 'counter': 26, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.4d', 'multiplicity': 5, 'nt': [66, 0], 'qdim': 20, 'qvalues': [20, 20, -20, 0, 0, 20, 0, 0, 0, 0, 0, 20, -20, 0, -10, -10, -10, -2, -2, -2, -2, -2, 0, -10, -10, -10, 10, 10, 10, 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, 0, 0, 0, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -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: 6776905
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.2n', 'multiplicity': 20, 'nt': [88, 0], 'qdim': 40, 'qvalues': [40, -40, 0, 0, 0, 40, 0, 0, 0, 0, 0, -40, 0, 0, 40, 40, 40, -4, -4, -4, -4, -4, 0, -40, -40, -40, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6776910
    {'cdim': 4, 'counter': 27, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.4e', 'multiplicity': 10, 'nt': [264, 0], 'qdim': 40, 'qvalues': [40, -40, 0, 0, 0, 40, 0, 0, 0, 0, 0, -40, 0, 0, -20, -20, -20, -4, -4, -4, -4, -4, 0, 20, 20, 20, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, -2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 6776911
    {'cdim': 4, 'counter': 28, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.4f', 'multiplicity': 15, 'nt': [99, 0], 'qdim': 60, 'qvalues': [60, 60, 60, 0, 0, -30, 0, 0, 0, 0, 0, -30, -30, 0, 0, 0, 0, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6776912
    {'cdim': 4, 'counter': 29, 'faithful': False, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.4g', 'multiplicity': 15, 'nt': [198, 0], 'qdim': 60, 'qvalues': [60, 60, -60, 0, 0, -30, 0, 0, 0, 0, 0, -30, 30, 0, 0, 0, 0, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, 6, 6, 6, -6, -6, -6, 6, 6, 6, 6, 6, 6, -6, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, 3, 3, -3, 3, 3, -3, -3, -3, -3, -3, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6776914
    {'cdim': 4, 'counter': 30, 'faithful': True, 'group': '1584.122', 'group_order': 1584, 'image': None, 'label': '1584.122.4h', 'multiplicity': 30, 'nt': [792, 0], 'qdim': 120, 'qvalues': [120, -120, 0, 0, 0, -60, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -12, -12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 0, 0, 12, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 0, -6, -6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
• 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: 15329846
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1584, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1584, 'label': '1584.122.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 15329908
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1584, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1.a1', 'kernel_order': 792, 'label': '1584.122.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 15329919
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1584, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1.a1', 'kernel_order': 792, 'label': '1584.122.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 15329930
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1584, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 792, 'label': '1584.122.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 15329941
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1584, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 792, 'label': '1584.122.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 15329952
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1584, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 792, 'label': '1584.122.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 15329963
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1584, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 792, 'label': '1584.122.1g', '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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 15329974
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1584, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 792, 'label': '1584.122.1h', '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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 15329985
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 264, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 264, 'label': '1584.122.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 15329847
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 264, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1.a1', 'kernel_order': 132, 'label': '1584.122.2b', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[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: 15329858
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 264, 'counter': 11, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.a1', 'kernel_order': 132, 'label': '1584.122.2c', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[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: 15329869
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 264, 'counter': 12, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1.a1', 'kernel_order': 132, 'label': '1584.122.2d', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 15329880
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 396, 'counter': 13, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.a1.a1', 'kernel_order': 99, 'label': '1584.122.2e1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 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]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15329891
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  • id: 15329902
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 15, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '18.1', 'image_order': 18, 'indicator': 1, 'kernel': '18.a1.a1', 'kernel_order': 88, 'label': '1584.122.2f1', 'nt': [9, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]]]}
  • id: 15329904
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 16, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '18.1', 'image_order': 18, 'indicator': 1, 'kernel': '18.a1.a1', 'kernel_order': 88, 'label': '1584.122.2f2', 'nt': [9, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 15329905
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 17, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '18.1', 'image_order': 18, 'indicator': 1, 'kernel': '18.a1.a1', 'kernel_order': 88, 'label': '1584.122.2f3', 'nt': [9, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]]]}
  • id: 15329906
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 18, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.c1.a1', 'kernel_order': 44, 'label': '1584.122.2g1', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 15329907
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 19, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.c1.a1', 'kernel_order': 44, 'label': '1584.122.2g2', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 15329909
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 20, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.c1.a1', 'kernel_order': 44, 'label': '1584.122.2g3', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]]]}
  • id: 15329910
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 21, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.b1.a1', 'kernel_order': 44, 'label': '1584.122.2h1', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 15329911
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 22, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.b1.a1', 'kernel_order': 44, 'label': '1584.122.2h2', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 15329912
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 23, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.b1.a1', 'kernel_order': 44, 'label': '1584.122.2h3', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]]]}
  • id: 15329913
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 24, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.a1.a1', 'kernel_order': 44, 'label': '1584.122.2i1', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]]]}
  • id: 15329914
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 25, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.a1.a1', 'kernel_order': 44, 'label': '1584.122.2i2', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 15329915
    {'center': '18.a1.a1', 'center_index': 18, 'center_order': 88, 'counter': 26, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '36.4', 'image_order': 36, 'indicator': 1, 'kernel': '36.a1.a1', 'kernel_order': 44, 'label': '1584.122.2i3', 'nt': [18, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]]]}
  • id: 15329916
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 27, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 72, 'label': '1584.122.2j1', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[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, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 15329917
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 28, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 72, 'label': '1584.122.2j2', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]]]}
  • id: 15329918
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 29, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 72, 'label': '1584.122.2j3', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[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, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]]]}
  • id: 15329920
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 30, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 72, 'label': '1584.122.2j4', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 15329921
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 31, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 72, 'label': '1584.122.2j5', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[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, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]]]}
  • id: 15329922
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 32, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 36, 'label': '1584.122.2k1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[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, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 15329923
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 33, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 36, 'label': '1584.122.2k2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-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, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[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, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]]]}
  • id: 15329924
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 34, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 36, 'label': '1584.122.2k3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-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, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[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, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]]]}
  • id: 15329925
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 35, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 36, 'label': '1584.122.2k4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 15329926
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 36, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 36, 'label': '1584.122.2k5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-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, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[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, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]]]}
  • id: 15329927
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 37, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 36, 'label': '1584.122.2l1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[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, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 15329928
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 38, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 36, 'label': '1584.122.2l2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-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, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[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, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]]]}
  • id: 15329929
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 39, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 36, 'label': '1584.122.2l3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-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, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[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, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]]]}
  • id: 15329931
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 40, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 36, 'label': '1584.122.2l4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 15329932
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 41, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 36, 'label': '1584.122.2l5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-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, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[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, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]]]}
  • id: 15329933
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 42, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 36, 'label': '1584.122.2m1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[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, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 15329934
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 43, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 36, 'label': '1584.122.2m2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]]]}
  • id: 15329935
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 44, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 36, 'label': '1584.122.2m3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[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, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]]]}
  • id: 15329936
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 45, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 36, 'label': '1584.122.2m4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 15329937
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 46, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 36, 'label': '1584.122.2m5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[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, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]]]}
  • id: 15329938
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 36, 'counter': 47, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.a1.a1', 'kernel_order': 9, 'label': '1584.122.2n1', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 4], [-1, 18]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[1, 10], [1, 12]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[-1, 10], [-1, 12]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 9], [1, 13]], [[1, 7], [1, 15]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 19]], [[-1, 7], [-1, 15]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 5], [-1, -5]], [[1, 5], [1, 17]], [[1, 6], [1, 16]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 10], [-1, 12]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, 14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, 12]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 8], [1, 14]], [[1, 4], [1, 18]], [[-1, 6], [-1, 16]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 18]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 6], [1, -6]], [[-1, 4], [-1, 18]], [[-1, 8], [-1, -8]], [[1, 6], [1, 16]], [[-1, 4], [-1, 18]], [[-1, 4], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[1, 6], [1, 16]], [[-1, 8], [-1, 14]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, 16]], [[1, 8], [1, 14]], [[1, 4], [1, 18]], [[-1, 8], [-1, -8]], [[1, 4], [1, 18]], [[-1, 10], [-1, 12]], [[1, 8], [1, 14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 6], [-1, 16]], [[1, 6], [1, -6]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[-1, 10], [-1, 12]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 8], [1, 14]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 10], [1, 12]], [[-1, 8], [-1, 14]], [[1, 10], [1, 12]], [[-1, 8], [-1, 14]]]}
  • id: 15329948
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 36, 'counter': 56, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.a1.a1', 'kernel_order': 9, 'label': '1584.122.2n10', 'nt': [88, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 8], [1, 14]], [[-1, 8], [-1, 14]], [[-1, 6], [-1, 16]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 10], [-1, 12]], [[-1, 4], [-1, 18]], [[1, 4], [1, 18]], [[1, 6], [1, 16]], [[1, 10], [1, 12]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 9], [1, 13]], [[1, 7], [1, -7]], [[1, 7], [1, 15]], [[-1, 9], [-1, 13]], [[-1, 5], [-1, 17]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, 17]], [[1, 3], [1, -3]], [[1, 3], [1, 19]], [[1, 8], [1, 14]], [[-1, 10], [-1, 12]], [[1, 6], [1, 16]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, 18]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 6], [-1, 16]], [[1, 10], [1, 12]], [[1, 4], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 8], [-1, 14]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 10], [1, 12]], [[-1, 8], [-1, -8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 4], [-1, -4]], [[1, 8], [1, 14]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 10], [-1, 12]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[1, 8], [1, 14]], [[-1, 4], [-1, 18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, 14]], [[1, 4], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 6], [1, 16]], [[1, 4], [1, 18]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 10], [1, 12]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, 12]], [[-1, 8], [-1, 14]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[1, 6], [1, 16]], [[-1, 10], [-1, 12]], [[1, 4], [1, 18]], [[-1, 10], [-1, 12]], [[-1, 6], [-1, 16]], [[-1, 4], [-1, 18]], [[-1, 6], [-1, 16]], [[-1, 4], [-1, 18]]]}
  • id: 15329949
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  • id: 15329950
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  • id: 15329951
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  • id: 15329953
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  • id: 15329954
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 36, 'counter': 61, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.a1.a1', 'kernel_order': 9, 'label': '1584.122.2n15', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 6], [1, 16]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 4], [-1, 18]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, 16]], [[1, 8], [1, 14]], [[-1, 10], [-1, 12]], [[1, 10], [1, 12]], [[1, 4], [1, 18]], [[-1, 8], [-1, 14]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, 19]], [[-1, 5], [-1, 17]], [[-1, 1], [-1, -1]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 5], [1, 17]], [[-1, 7], [-1, 15]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 7], [1, 15]], [[1, 9], [1, -9]], [[1, 9], [1, 13]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 8], [1, 14]], [[1, 4], [1, 18]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 10], [-1, 12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 18]], [[-1, 8], [-1, 14]], [[1, 10], [1, 12]], [[-1, 6], [-1, 16]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 10], [1, -10]], [[1, 6], [1, 16]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, 16]], [[-1, 8], [-1, 14]], [[1, 2], [1, -2]], [[1, 6], [1, 16]], [[1, 10], [1, -10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 6], [1, 16]], [[1, 6], [1, 16]], [[1, 8], [1, 14]], [[-1, 4], [-1, 18]], [[1, 4], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 10], [-1, 12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 10], [1, 12]], [[-1, 6], [-1, 16]], [[1, 10], [1, -10]], [[-1, 6], [-1, 16]], [[1, 4], [1, 18]], [[1, 10], [1, 12]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, 14]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 8], [-1, 14]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 2], [1, -2]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 4], [1, 18]], [[1, 8], [1, 14]], [[1, 10], [1, 12]], [[1, 8], [1, 14]], [[-1, 4], [-1, 18]], [[-1, 10], [-1, 12]], [[-1, 4], [-1, 18]], [[-1, 10], [-1, 12]]]}
  • id: 15329955
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  • id: 15329956
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 36, 'counter': 63, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.a1.a1', 'kernel_order': 9, 'label': '1584.122.2n17', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 8], [-1, 14]], [[-1, 10], [-1, 12]], [[1, 10], [1, 12]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, 14]], [[-1, 4], [-1, 18]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 4], [1, 18]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, 15]], [[1, 3], [1, 19]], [[-1, 5], [-1, -5]], [[1, 5], [1, 17]], [[-1, 3], [-1, 19]], [[1, 9], [1, 13]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, 13]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 10], [-1, 12]], [[-1, 4], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, 16]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 4], [1, 18]], [[1, 6], [1, 16]], [[1, 8], [1, 14]], [[1, 10], [1, 12]], [[1, 6], [1, -6]], [[-1, 8], [-1, 14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 14]], [[1, 4], [1, 18]], [[1, 10], [1, -10]], [[-1, 8], [-1, 14]], [[1, 6], [1, -6]], [[-1, 10], [-1, 12]], [[-1, 8], [-1, 14]], [[-1, 8], [-1, 14]], [[-1, 4], [-1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 10], [-1, 12]], [[-1, 6], [-1, 16]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, 12]], [[1, 6], [1, 16]], [[1, 8], [1, 14]], [[1, 6], [1, -6]], [[1, 8], [1, 14]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 6], [1, 16]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, 18]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, 18]], [[1, 10], [1, 12]], [[1, 10], [1, -10]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 4], [-1, 18]], [[1, 6], [1, 16]], [[-1, 4], [-1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 6], [-1, 16]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 6], [-1, 16]]]}
  • id: 15329957
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  • id: 15329958
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 36, 'counter': 65, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.a1.a1', 'kernel_order': 9, 'label': '1584.122.2n19', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 8], [1, 14]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, 14]], [[1, 4], [1, 18]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 4], [-1, 18]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[-1, 7], [-1, 15]], [[1, 3], [1, 19]], [[1, 5], [1, -5]], [[1, 5], [1, 17]], [[-1, 3], [-1, 19]], [[1, 9], [1, 13]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, 13]], [[-1, 1], [-1, -1]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 10], [1, 12]], [[1, 4], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 6], [1, 16]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 4], [-1, 18]], [[-1, 6], [-1, 16]], [[-1, 8], [-1, 14]], [[-1, 10], [-1, 12]], [[1, 6], [1, -6]], [[1, 8], [1, 14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, 14]], [[-1, 4], [-1, 18]], [[1, 10], [1, -10]], [[1, 8], [1, 14]], [[1, 6], [1, -6]], [[1, 10], [1, 12]], [[1, 8], [1, 14]], [[1, 8], [1, 14]], [[1, 4], [1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 10], [1, 12]], [[1, 6], [1, 16]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, 12]], [[-1, 6], [-1, 16]], [[-1, 8], [-1, 14]], [[1, 6], [1, -6]], [[-1, 8], [-1, 14]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 6], [-1, 16]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, 18]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 18]], [[-1, 10], [-1, 12]], [[1, 10], [1, -10]], [[-1, 10], [-1, 12]], [[1, 10], [1, 12]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 4], [1, 18]], [[-1, 6], [-1, 16]], [[1, 4], [1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 6], [1, 16]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 6], [1, 16]]]}
  • id: 15329939
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  • id: 15329959
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 36, 'counter': 66, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.a1.a1', 'kernel_order': 9, 'label': '1584.122.2n20', 'nt': [88, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 8], [-1, 14]], [[-1, 10], [-1, 12]], [[1, 10], [1, 12]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, 14]], [[-1, 4], [-1, 18]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 4], [1, 18]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 7], [1, 15]], [[-1, 3], [-1, 19]], [[1, 5], [1, -5]], [[-1, 5], [-1, 17]], [[1, 3], [1, 19]], [[-1, 9], [-1, 13]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, 13]], [[-1, 1], [-1, -1]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 10], [-1, 12]], [[-1, 4], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, 16]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 4], [1, 18]], [[1, 6], [1, 16]], [[1, 8], [1, 14]], [[1, 10], [1, 12]], [[1, 6], [1, -6]], [[-1, 8], [-1, 14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, 14]], [[1, 4], [1, 18]], [[1, 10], [1, -10]], [[-1, 8], [-1, 14]], [[1, 6], [1, -6]], [[-1, 10], [-1, 12]], [[-1, 8], [-1, 14]], [[-1, 8], [-1, 14]], [[-1, 4], [-1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 10], [-1, 12]], [[-1, 6], [-1, 16]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, 12]], [[1, 6], [1, 16]], [[1, 8], [1, 14]], [[1, 6], [1, -6]], [[1, 8], [1, 14]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 6], [1, 16]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, 18]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, 18]], [[1, 10], [1, 12]], [[1, 10], [1, -10]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 4], [-1, 18]], [[1, 6], [1, 16]], [[-1, 4], [-1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 6], [-1, 16]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 6], [-1, 16]]]}
  • id: 15329940
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  • id: 15329942
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 36, 'counter': 50, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.a1.a1', 'kernel_order': 9, 'label': '1584.122.2n4', 'nt': [88, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 4], [-1, 18]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[1, 10], [1, 12]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[-1, 10], [-1, 12]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, 13]], [[-1, 7], [-1, 15]], [[1, 3], [1, -3]], [[1, 3], [1, 19]], [[1, 7], [1, 15]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 5], [1, -5]], [[-1, 5], [-1, 17]], [[1, 6], [1, 16]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 10], [-1, 12]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, 14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, 12]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 8], [1, 14]], [[1, 4], [1, 18]], [[-1, 6], [-1, 16]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 18]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 6], [1, -6]], [[-1, 4], [-1, 18]], [[-1, 8], [-1, -8]], [[1, 6], [1, 16]], [[-1, 4], [-1, 18]], [[-1, 4], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[1, 6], [1, 16]], [[-1, 8], [-1, 14]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, 16]], [[1, 8], [1, 14]], [[1, 4], [1, 18]], [[-1, 8], [-1, -8]], [[1, 4], [1, 18]], [[-1, 10], [-1, 12]], [[1, 8], [1, 14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 6], [-1, 16]], [[1, 6], [1, -6]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[-1, 10], [-1, 12]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 8], [1, 14]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 10], [1, 12]], [[-1, 8], [-1, 14]], [[1, 10], [1, 12]], [[-1, 8], [-1, 14]]]}
  • id: 15329943
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  • id: 15329944
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  • id: 15329945
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  • id: 15329946
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 36, 'counter': 54, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.a1.a1', 'kernel_order': 9, 'label': '1584.122.2n8', 'nt': [88, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, 12]], [[1, 4], [1, 18]], [[-1, 4], [-1, 18]], [[-1, 8], [-1, 14]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 10], [1, 12]], [[1, 6], [1, 16]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 8], [1, 14]], [[-1, 6], [-1, 16]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, 13]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [1, 19]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, 19]], [[1, 7], [1, -7]], [[1, 7], [1, 15]], [[1, 4], [1, 18]], [[1, 6], [1, 16]], [[1, 8], [1, 14]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 8], [-1, 14]], [[-1, 6], [-1, 16]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 10], [1, 12]], [[-1, 4], [-1, 18]], [[1, 2], [1, -2]], [[-1, 10], [-1, 12]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, 12]], [[-1, 6], [-1, 16]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, 12]], [[1, 2], [1, -2]], [[1, 4], [1, 18]], [[-1, 10], [-1, 12]], [[-1, 10], [-1, 12]], [[1, 6], [1, 16]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[1, 4], [1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 4], [-1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 10], [1, 12]], [[1, 2], [1, -2]], [[1, 10], [1, 12]], [[1, 8], [1, 14]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, 16]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 6], [-1, 16]], [[-1, 4], [-1, 18]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 18]], [[1, 4], [1, 18]], [[1, 8], [1, 14]], [[1, 6], [1, 16]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 6], [1, 16]], [[-1, 8], [-1, 14]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 8], [-1, 14]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]]]}
  • id: 15329947
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 36, 'counter': 55, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.a1.a1', 'kernel_order': 9, 'label': '1584.122.2n9', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[1, 6], [1, 16]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 10], [1, 12]], [[1, 4], [1, 18]], [[-1, 4], [-1, 18]], [[-1, 6], [-1, 16]], [[-1, 10], [-1, 12]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 9], [-1, 13]], [[1, 7], [1, -7]], [[-1, 7], [-1, 15]], [[1, 9], [1, 13]], [[1, 5], [1, 17]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, 17]], [[1, 3], [1, -3]], [[-1, 3], [-1, 19]], [[-1, 8], [-1, 14]], [[1, 10], [1, 12]], [[-1, 6], [-1, 16]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, 18]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, 16]], [[-1, 10], [-1, 12]], [[-1, 4], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 8], [1, 14]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 10], [-1, 12]], [[-1, 8], [-1, -8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, 14]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 10], [1, 12]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[-1, 8], [-1, 14]], [[1, 4], [1, 18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 8], [1, 14]], [[-1, 4], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 6], [-1, 16]], [[-1, 4], [-1, 18]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, 12]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, 12]], [[1, 8], [1, 14]], [[-1, 8], [-1, -8]], [[1, 8], [1, 14]], [[-1, 8], [-1, 14]], [[-1, 6], [-1, 16]], [[1, 10], [1, 12]], [[-1, 4], [-1, 18]], [[1, 10], [1, 12]], [[1, 6], [1, 16]], [[1, 4], [1, 18]], [[1, 6], [1, 16]], [[1, 4], [1, 18]]]}
  • id: 15329960
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 66, 'counter': 67, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '48.39', 'image_order': 48, 'indicator': -1, 'kernel': '48.a1.a1', 'kernel_order': 33, 'label': '1584.122.4a', 'nt': [24, 18], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 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]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15329961
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 22, 'counter': 68, 'cyclotomic_n': 9, 'dim': 4, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '144.42', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1.a1', 'kernel_order': 11, 'label': '1584.122.4b1', 'nt': [72, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15329962
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 22, 'counter': 69, 'cyclotomic_n': 9, 'dim': 4, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '144.42', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1.a1', 'kernel_order': 11, 'label': '1584.122.4b2', 'nt': [72, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15329964
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 22, 'counter': 70, 'cyclotomic_n': 9, 'dim': 4, 'faithful': False, 'field': [-1, -3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '144.42', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1.a1', 'kernel_order': 11, 'label': '1584.122.4b3', 'nt': [72, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15329965
    {'center': '132.a1.a1', 'center_index': 132, 'center_order': 12, 'counter': 71, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '132.5', 'image_order': 132, 'indicator': 1, 'kernel': '132.a1.a1', 'kernel_order': 12, 'label': '1584.122.4c1', 'nt': [33, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-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, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 15329966
    {'center': '132.a1.a1', 'center_index': 132, 'center_order': 12, 'counter': 72, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '132.5', 'image_order': 132, 'indicator': 1, 'kernel': '132.a1.a1', 'kernel_order': 12, 'label': '1584.122.4c2', 'nt': [33, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-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, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]]]}
  • id: 15329967
    {'center': '132.a1.a1', 'center_index': 132, 'center_order': 12, 'counter': 73, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '132.5', 'image_order': 132, 'indicator': 1, 'kernel': '132.a1.a1', 'kernel_order': 12, 'label': '1584.122.4c3', 'nt': [33, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-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, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]]]}
  • id: 15329968
    {'center': '132.a1.a1', 'center_index': 132, 'center_order': 12, 'counter': 74, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '132.5', 'image_order': 132, 'indicator': 1, 'kernel': '132.a1.a1', 'kernel_order': 12, 'label': '1584.122.4c4', 'nt': [33, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 15329969
    {'center': '132.a1.a1', 'center_index': 132, 'center_order': 12, 'counter': 75, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '132.5', 'image_order': 132, 'indicator': 1, 'kernel': '132.a1.a1', 'kernel_order': 12, 'label': '1584.122.4c5', 'nt': [33, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-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, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]]]}
  • id: 15329970
    {'center': '132.a1.a1', 'center_index': 132, 'center_order': 12, 'counter': 76, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '264.34', 'image_order': 264, 'indicator': 1, 'kernel': '264.a1.a1', 'kernel_order': 6, 'label': '1584.122.4d1', 'nt': [66, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-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, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 15329971
    {'center': '132.a1.a1', 'center_index': 132, 'center_order': 12, 'counter': 77, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '264.34', 'image_order': 264, 'indicator': 1, 'kernel': '264.a1.a1', 'kernel_order': 6, 'label': '1584.122.4d2', 'nt': [66, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]]]}
  • id: 15329972
    {'center': '132.a1.a1', 'center_index': 132, 'center_order': 12, 'counter': 78, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '264.34', 'image_order': 264, 'indicator': 1, 'kernel': '264.a1.a1', 'kernel_order': 6, 'label': '1584.122.4d3', 'nt': [66, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-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, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]]]}
  • id: 15329973
    {'center': '132.a1.a1', 'center_index': 132, 'center_order': 12, 'counter': 79, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '264.34', 'image_order': 264, 'indicator': 1, 'kernel': '264.a1.a1', 'kernel_order': 6, 'label': '1584.122.4d4', 'nt': [66, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 4], [-2, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 15329975
    {'center': '132.a1.a1', 'center_index': 132, 'center_order': 12, 'counter': 80, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '264.34', 'image_order': 264, 'indicator': 1, 'kernel': '264.a1.a1', 'kernel_order': 6, 'label': '1584.122.4d5', 'nt': [66, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-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, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]]]}
  • id: 15329976
    {'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 81, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '528.111', 'image_order': 528, 'indicator': 0, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.122.4e1', 'nt': [264, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[2, 4], [-2, -4]], [[-2, 4], [2, -4]], [[2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 1], [-2, -1]], [[2, 5], [-2, -5]], [[-2, 2], [2, -2]], [[2, 2], [-2, -2]], [[-2, 3], [2, -3]], [[-2, 5], [2, -5]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [-2, -4]], [[2, 5], [-2, -5]], [[-2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[2, 3], [-2, -3]], [[-2, 5], [2, -5]], [[2, 2], [-2, -2]], [[2, 1], [-2, -1]], [[-2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 1], [2, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 5], [-1, -5]], [[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, 5], [1, -5]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [-1, -4]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 3], [-1, -3]], [[-1, 5], [1, -5]], [[-1, 2], [1, -2]], [[-1, 5], [1, -5]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]]]}
  • id: 15329986
    {'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 90, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '528.111', 'image_order': 528, 'indicator': 0, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.122.4e10', 'nt': [264, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[2, 2], [-2, -2]], [[2, 3], [-2, -3]], [[-2, 3], [2, -3]], [[2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [2, -2]], [[2, 1], [-2, -1]], [[2, 4], [-2, -4]], [[-2, 4], [2, -4]], [[-2, 5], [2, -5]], [[-2, 1], [2, -1]], [[-2, 4], [-2, -4]], [[2, 5], [2, -5]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, -3]], [[2, 1], [-2, -1]], [[-2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [-2, -5]], [[-2, 1], [2, -1]], [[-2, 4], [2, -4]], [[-2, 2], [2, -2]], [[-2, 3], [2, -3]], [[-2, 4], [-2, -4]], [[2, 2], [-2, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[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, 1], [1, -1]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[-1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [-1, -2]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 5], [-1, -5]], [[-1, 1], [1, -1]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]]]}
  • id: 15329977
    {'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 82, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '528.111', 'image_order': 528, 'indicator': 0, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.122.4e2', 'nt': [264, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 1], [-2, -1]], [[-2, 4], [2, -4]], [[2, 4], [-2, -4]], [[-2, 3], [2, -3]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 1], [2, -1]], [[-2, 5], [2, -5]], [[2, 2], [-2, -2]], [[-2, 2], [2, -2]], [[2, 3], [-2, -3]], [[2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [2, -4]], [[-2, 5], [2, -5]], [[2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 3], [2, -3]], [[2, 5], [-2, -5]], [[-2, 2], [2, -2]], [[-2, 1], [2, -1]], [[2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 1], [-2, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 5], [1, -5]], [[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, 5], [-1, -5]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 4], [-1, -4]], [[-1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 4], [1, -4]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 3], [1, -3]], [[1, 5], [-1, -5]], [[1, 2], [-1, -2]], [[1, 5], [-1, -5]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]]]}
  • id: 15329978
    {'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 83, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '528.111', 'image_order': 528, 'indicator': 0, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.122.4e3', 'nt': [264, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 3], [2, -3]], [[2, 1], [-2, -1]], [[-2, 1], [2, -1]], [[-2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[2, 3], [-2, -3]], [[2, 4], [-2, -4]], [[2, 5], [-2, -5]], [[-2, 5], [2, -5]], [[2, 2], [-2, -2]], [[-2, 4], [2, -4]], [[-2, 5], [-2, -5]], [[2, 2], [2, -2]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [-2, -1]], [[2, 4], [-2, -4]], [[2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 2], [2, -2]], [[-2, 4], [2, -4]], [[-2, 5], [2, -5]], [[2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 4], [-1, -4]], [[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, 4], [1, -4]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[1, 5], [-1, -5]], [[-1, 4], [1, -4]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]]]}
  • id: 15329979
    {'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 84, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '528.111', 'image_order': 528, 'indicator': 0, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.122.4e4', 'nt': [264, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[2, 1], [-2, -1]], [[2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 3], [2, -3]], [[-2, 4], [2, -4]], [[-2, 5], [2, -5]], [[2, 5], [-2, -5]], [[-2, 2], [2, -2]], [[2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[2, 2], [2, -2]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [2, -1]], [[-2, 4], [2, -4]], [[-2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[2, 2], [-2, -2]], [[2, 4], [-2, -4]], [[2, 5], [-2, -5]], [[-2, 3], [2, -3]], [[2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [-2, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[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, 4], [-1, -4]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 4], [-1, -4]], [[-1, 5], [1, -5]], [[1, 4], [-1, -4]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]]]}
  • id: 15329980
    {'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 85, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '528.111', 'image_order': 528, 'indicator': 0, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.122.4e5', 'nt': [264, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 5], [2, -5]], [[-2, 2], [2, -2]], [[2, 2], [-2, -2]], [[2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 5], [-2, -5]], [[2, 3], [-2, -3]], [[2, 1], [-2, -1]], [[-2, 1], [2, -1]], [[-2, 4], [2, -4]], [[-2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 4], [2, -4]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, -2]], [[2, 3], [-2, -3]], [[-2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 4], [-2, -4]], [[-2, 3], [2, -3]], [[-2, 1], [2, -1]], [[2, 5], [-2, -5]], [[2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 5], [2, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[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, 3], [1, -3]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [1, -5]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 4], [-1, -4]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]]]}
  • id: 15329981
    {'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 86, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '528.111', 'image_order': 528, 'indicator': 0, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.122.4e6', 'nt': [264, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 5], [-2, -5]], [[2, 2], [-2, -2]], [[-2, 2], [2, -2]], [[-2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [2, -5]], [[-2, 3], [2, -3]], [[-2, 1], [2, -1]], [[2, 1], [-2, -1]], [[2, 4], [-2, -4]], [[2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 4], [2, -4]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, -2]], [[-2, 3], [2, -3]], [[2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 4], [2, -4]], [[2, 3], [-2, -3]], [[2, 1], [-2, -1]], [[-2, 5], [2, -5]], [[-2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 5], [-2, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[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, 3], [-1, -3]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [-1, -5]], [[-1, 4], [1, -4]], [[-1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[1, 1], [-1, -1]]]}
  • id: 15329982
    {'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 87, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '528.111', 'image_order': 528, 'indicator': 0, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.122.4e7', 'nt': [264, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 4], [2, -4]], [[2, 5], [-2, -5]], [[-2, 5], [2, -5]], [[2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 4], [-2, -4]], [[-2, 2], [2, -2]], [[2, 3], [-2, -3]], [[-2, 3], [2, -3]], [[-2, 1], [2, -1]], [[2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [-2, -5]], [[-2, 2], [2, -2]], [[-2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[2, 1], [-2, -1]], [[2, 2], [-2, -2]], [[-2, 3], [2, -3]], [[2, 4], [-2, -4]], [[-2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 4], [2, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[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, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 5], [1, -5]], [[-1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [-1, -5]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 4], [1, -4]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]]]}
  • id: 15329983
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  • id: 15329984
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  • id: 15329987
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  • id: 15329848
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  • id: 15329849
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  • id: 15329850
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  • id: 15329851
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  • id: 15329852
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  • id: 15329853
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  • id: 15329988
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  • id: 15329989
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  • id: 15329990
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  • id: 15329991
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  • id: 15329992
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  • id: 15329993
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  • id: 15329994
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  • id: 15329854
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  • id: 15329864
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  • id: 15329865
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  • id: 15329866
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  • id: 15329867
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  • id: 15329868
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  • id: 15329870
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  • id: 15329855
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  • id: 15329856
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  • id: 15329857
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  • id: 15329859
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  • id: 15329860
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  • id: 15329861
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  • id: 15329862
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  • id: 15329863
    {'center': '396.a1.a1', 'center_index': 396, 'center_order': 4, 'counter': 114, 'cyclotomic_n': 99, 'dim': 4, 'faithful': False, 'field': [-1, -9, 27, 150, -168, -765, 384, 1473, -288, -976, 60, 252, -4, -27, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '792.40', 'image_order': 792, 'indicator': 1, 'kernel': '792.a1.a1', 'kernel_order': 2, 'label': '1584.122.4g9', 'nt': [198, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 22], [2, -22]], [[2, 44], [2, -44]], [[2, 11], [2, -11]], [[2, 18], [2, -18]], [[2, 9], [2, -9]], [[2, 27], [2, -27]], [[2, 45], [2, -45]], [[2, 36], [2, -36]], [[0, 0]], [[2, 11], [2, -11]], [[2, 44], [2, -44]], [[2, 22], [2, -22]], [[-2, 22], [-2, -22]], [[-2, 11], [-2, -11]], [[-2, 44], [-2, -44]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[-2, 36], [-2, -36]], 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  • id: 15329871
    {'center': '792.a1.a1', 'center_index': 792, 'center_order': 2, 'counter': 121, 'cyclotomic_n': 99, 'dim': 4, 'faithful': True, 'field': [1, 3, 9, 26, 75, 216, 622, 1791, 5157, 14849, 42756, 10314, 16093, 5523, 6255, 2672, 2493, 1224, 1000, 507, 297, -109, 90, -27, 28, -6, 9, -1, 3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '1584.122', 'image_order': 1584, 'indicator': 0, 'kernel': '1584.a1.a1', 'kernel_order': 1, 'label': '1584.122.4h1', 'nt': [792, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 44], [2, -44]], [[2, 11], [2, -11]], [[2, 22], [2, -22]], [[2, 45], [2, -45]], [[2, 27], [2, -27]], [[2, 18], [2, -18]], [[2, 36], [2, -36]], [[2, 9], [2, -9]], [[0, 0]], [[-2, 22], [-2, -22]], [[-2, 11], [-2, -11]], [[-2, 44], [-2, -44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 15329881
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  • id: 15329882
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  • id: 15329883
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  • id: 15329884
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  • id: 15329885
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  • id: 15329886
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  • id: 15329887
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  • id: 15329888
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  • id: 15329889
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  • id: 15329890
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  • id: 15329872
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  • id: 15329892
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  • id: 15329893
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  • id: 15329894
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  • id: 15329895
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  • id: 15329896
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  • id: 15329897
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  • id: 15329898
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  • id: 15329899
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  • id: 15329900
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  • id: 15329901
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  • id: 15329873
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  • id: 15329903
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  • id: 15329874
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  • id: 15329875
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  • id: 15329876
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  • id: 15329877
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  • id: 15329878
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8], [-1, 25], [1, 41], [-1, 47], [-1, -47]], [[-1, 14], [1, 19], [-1, 41], [1, -47], [-1, -41]], [[1, 2], [-1, 8], [1, 11], [-1, 17], [1, 20], [-1, 26], [1, 29], [1, 34], [1, 38], [-1, 41], [-1, 43], [1, 47], [-1, -49], [2, -43], [-1, -40]], [[-1, 5], [-1, 16], [-1, 17], [-1, 28], [-1, 38], [-1, 49]], [[-1, 14], [-1, 19], [1, 41], [-1, -47], [-1, -41]], [[1, 5], [1, 16], [-1, 17], [-1, 28], [1, 38], [1, 49]], [[-1, 8], [-1, 25], [-1, 41], [-1, 47], [1, -47]], [[-1, 1], [1, 7], [-1, 10], [1, 16], [-1, 19], [1, 25], [-1, 28], [-1, 35], [-1, 37], [1, 40], [-2, 46], [1, 49], [1, -46], [-1, -44], [1, -41]], [[1, 1], [-1, 4], [1, 10], [-1, 13], [1, 16], [1, 17], [1, 19], [-1, 22], [1, 28], [-1, 31], [1, 34], [1, 38], [-1, 40], [1, 43], [-1, 49], [1, -49], [1, -47], [-1, -41]], [[1, 1], [-1, 7], [1, 10], [-1, 16], [1, 19], [-1, 25], [1, 28], [-1, 35], [1, 37], [-1, 40], [-1, 49], [-1, -46], [1, -44], [-1, -41]], [[1, 2], [-1, 8], [1, 11], [-1, 17], [1, 20], [-1, 26], [1, 29], [-1, 34], [1, 38], [-1, 41], [-1, 43], [1, 47], [-1, -49], [-1, -40]], [[-1, 2], [1, 4], [1, 5], [-1, 11], [1, 14], [-1, 20], [1, 23], [1, 32], [-1, 35], [-1, 40], [1, 41], [-1, 44], [1, -49], [-1, -46], [2, -40]], [[1, 4], [-1, 7], [1, 26], [-1, 29], [1, 37], [1, -40]], [[-1, 2], [-1, 4], [1, 5], [-1, 11], [1, 14], [-1, 20], [1, 23], [1, 32], [-1, 35], [-1, 40], [1, 41], [-1, 44], [1, -49], [-1, -46]], [[-1, 8], [1, 14], [-1, 19], [1, 25], [1, 47], [1, -41]], [[1, 2], [-1, 5], [1, 7], [1, 11], [-1, 14], [1, 20], [-1, 23], [1, 26], [1, 29], [-1, 32], [1, 35], [1, 37], [1, 40], [-1, 41], [1, 44], [-1, -49], [1, -46], [-1, -40]], [[1, 1], [-1, 2], [1, 8], [-1, 10], [-1, 11], [1, 17], [-1, 20], [-1, 23], [1, 26], [-1, 29], [1, 32], [-1, 38], [1, 41], [-1, 47], [1, -49], [-2, -43], [1, -40]], [[-1, 1], [-1, 2], [1, 8], [-1, 10], [-1, 11], [1, 17], [-1, 20], [1, 23], [1, 26], [-1, 29], [1, 32], [-1, 38], [1, 41], [-1, 47], [1, -49], [1, -40]], [[-1, 1], [1, 10], [1, 23], [-1, 32], [-1, 34], [1, 43]], [[1, 1], [-1, 10], [-1, 23], [1, 32], [1, 34], [-1, 43]], [[1, 2], [-1, 13], [-1, 20], [1, 31], [1, 35], [-1, -46]], [[1, 2], [-1, 4], [-1, 5], [1, 11], [-1, 14], [1, 20], [-1, 23], [-1, 32], [1, 35], [1, 40], [-1, 41], [1, 44], [-1, -49], [1, -46], [-2, -40]], [[-1, 1], [1, 4], [1, 5], [-1, 10], [1, 13], [-1, 19], [1, 22], [1, 31], [-1, 34], [1, 40], [-1, 43], [2, 49], [-1, -49], [-1, -47], [1, -41]], [[-1, 2], [1, 5], [-1, 7], [-1, 11], [1, 14], [-1, 20], [1, 23], [-1, 26], [-1, 29], [1, 32], [-1, 35], [-1, 37], [-1, 40], [1, 41], [-1, 44], [1, -49], [-1, -46], [1, -40]], [[-1, 2], [1, 13], [1, 20], [-1, 31], [-1, 35], [1, -46]], [[1, 5], [1, 16], [1, 17], [1, 28], [1, 38], [1, 49]], [[1, 1], [-1, 7], [1, 10], [-1, 16], [1, 19], [-1, 25], [1, 28], [1, 35], [1, 37], [-1, 40], [2, 46], [-1, 49], [-1, -46], [1, -44], [-1, -41]], [[1, 1], [-1, 4], [-1, 5], [1, 10], [-1, 13], [1, 19], [-1, 22], [-1, 31], [1, 34], [-1, 40], [1, 43], [-2, 49], [1, -49], [1, -47], [-1, -41]]]}
  • id: 15329879
    {'center': '792.a1.a1', 'center_index': 792, 'center_order': 2, 'counter': 129, 'cyclotomic_n': 99, 'dim': 4, 'faithful': True, 'field': [1, 3, 9, 26, 75, 216, 622, 1791, 5157, 14849, 42756, 10314, 16093, 5523, 6255, 2672, 2493, 1224, 1000, 507, 297, -109, 90, -27, 28, -6, 9, -1, 3, 0, 1], 'group': '1584.122', 'group_counter': 122, 'group_order': 1584, 'image': None, 'image_isoclass': '1584.122', 'image_order': 1584, 'indicator': 0, 'kernel': '1584.a1.a1', 'kernel_order': 1, 'label': '1584.122.4h9', 'nt': [792, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 44], [2, -44]], [[2, 11], [2, -11]], [[2, 22], [2, -22]], [[2, 9], [2, -9]], [[2, 45], [2, -45]], [[2, 36], [2, -36]], [[2, 27], [2, -27]], [[2, 18], [2, -18]], [[0, 0]], [[-2, 22], [-2, -22]], [[-2, 11], [-2, -11]], [[-2, 44], [-2, -44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 45], [-2, -45]], [[-2, 15], [-2, 18], [-2, 48]], [[-2, 6], [-2, 27], [-2, 39]], [[2, 6], [2, 27], [2, 39]], [[-2, 45], [2, -45]], [[-2, 27], [-2, -27]], [[-2, 18], [-2, -18]], [[-2, 9], [-2, -9]], [[2, 15], [2, 18], [2, 48]], [[-2, 9], [-2, 24], [-2, -42]], [[-2, 0], [2, 6], [-2, 9], [2, 15], [-2, 18], [2, 24], [-2, 27], [-4, 36], [2, 39], [-2, 45], [2, 48], [-2, -45], [2, -42]], [[2, 0], [-2, 6], [2, 9], [-2, 15], [2, 18], [-2, 24], [2, 27], [4, 36], [-2, 39], [2, 45], [-2, 48], [2, -45], [-2, -42]], [[2, 45], [-2, -45]], [[2, 9], [2, 24], [2, -42]], [[-2, 36], [-2, -36]], [[-1, 45], [-1, -45]], [[-1, 27], [-1, -27]], [[-1, 36], [-1, -36]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 6], [1, 27], [1, 39]], [[1, 9], [1, 24], [1, -42]], [[-1, 45], [1, -45]], [[1, 45], [1, -45]], [[1, 18], [1, -18]], [[1, 0], [-1, 6], [1, 9], [-1, 15], [1, 18], [-1, 24], [1, 27], [2, 36], [-1, 39], [1, 45], [-1, 48], [1, -45], [-1, -42]], [[1, 27], [1, -27]], [[1, 9], [1, -9]], [[1, 45], [-1, -45]], [[-1, 9], [-1, 24], [-1, -42]], [[-1, 0], [1, 6], [-1, 9], [1, 15], [-1, 18], [1, 24], [-1, 27], [-2, 36], [1, 39], [-1, 45], [1, 48], [-1, -45], [1, -42]], [[-1, 15], [-1, 18], [-1, 48]], [[-1, 6], [-1, 27], [-1, 39]], [[1, 36], [1, -36]], [[1, 15], [1, 18], [1, 48]], [[1, 1], [-1, 4], [1, 5], [1, 10], [-1, 13], [1, 19], [-1, 22], [-1, 31], [1, 34], [-1, 40], [1, 43], [1, -49], [1, -47], [-1, -41]], [[1, 8], [-1, 14], [1, 19], [-1, 25], [-1, 47], [-1, -41]], [[1, 1], [1, 2], [-1, 8], [1, 10], [1, 11], [-1, 17], [1, 20], [-1, 23], [-1, 26], [1, 29], [-1, 32], [1, 38], [-1, 41], [1, 47], [-1, -49], [-1, -40]], [[1, 14], [-1, 19], [1, 41], [-1, -47], [1, -41]], [[-1, 1], [1, 7], [-1, 10], [1, 16], [-1, 19], [1, 25], [-1, 28], [1, 35], [-1, 37], [1, 40], [1, 49], [1, -46], [-1, -44], [1, -41]], [[1, 1], [1, 2], [-1, 7], [1, 10], [-1, 13], [-1, 16], [1, 19], [1, 20], [-1, 25], [1, 28], [-1, 31], [1, 37], [-1, 40], [-1, 49], [1, -44], [-1, -41]], [[-1, 2], [1, 8], [-1, 11], [1, 17], [-1, 20], [1, 26], [-1, 29], [1, 34], [-1, 38], [1, 41], [1, 43], [-1, 47], [1, -49], [1, -40]], [[-1, 8], [1, 25], [-1, 41], [1, 47], [1, -47]], [[-1, 5], [-1, 16], [1, 17], [1, 28], [-1, 38], [-1, 49]], [[-1, 2], [1, 5], [-1, 7], [-1, 11], [1, 14], [-1, 20], [1, 23], [1, 26], [-1, 29], [1, 32], [-1, 35], [1, 37], [-1, 40], [1, 41], [-1, 44], [1, -49], [-1, -46], [1, -40]], [[-1, 1], [-1, 10], [1, 23], [1, 32], [-1, 34], [-1, 43]], [[-1, 4], [1, 7], [-1, 26], [1, 29], [-1, 37], [-1, -40]], [[-1, 1], [1, 4], [-1, 10], [1, 13], [1, 16], [-1, 17], [-1, 19], [1, 22], [-1, 28], [1, 31], [-1, 34], [1, 38], [1, 40], [-1, 43], [1, 49], [-1, -49], [-1, -47], [1, -41]], [[-1, 2], [1, 13], [-1, 20], [1, 31], [-1, 35], [-1, -46]], [[1, 2], [1, 4], [-1, 5], [1, 11], [-1, 14], [1, 20], [-1, 23], [-1, 32], [1, 35], [1, 40], [-1, 41], [1, 44], [-1, -49], [1, -46]], [[-1, 2], [1, 5], [-1, 7], [-1, 11], [1, 14], [-1, 20], [1, 23], [-1, 26], [-1, 29], [1, 32], [-1, 35], [-1, 37], [-1, 40], [1, 41], [-1, 44], [1, -49], [-1, -46], [1, -40]], [[1, 1], [-1, 2], [-1, 7], [1, 10], [1, 13], [-1, 16], [1, 19], [1, 20], [-1, 25], [1, 28], [-1, 31], [1, 37], [-1, 40], [2, 46], [-1, 49], [1, -44], [-1, -41]], [[-1, 1], [1, 4], [-1, 5], [-1, 10], [1, 13], [-1, 19], [1, 22], [1, 31], [-1, 34], [1, 40], [-1, 43], [-1, -49], [-1, -47], [1, -41]], [[-1, 2], [1, 4], [1, 5], [-1, 11], [1, 14], [-1, 20], [1, 23], [1, 32], [-1, 35], [-1, 40], [1, 41], [-1, 44], [1, -49], [-1, -46], [2, -40]], [[-1, 14], [1, 19], [-1, 41], [1, -47], [-1, -41]], [[-1, 1], [1, 4], [-1, 10], [1, 13], [-1, 16], [-1, 17], [-1, 19], [1, 22], [-1, 28], [1, 31], [-1, 34], [-1, 38], [1, 40], [-1, 43], [1, 49], [-1, -49], [-1, -47], [1, -41]], [[1, 2], [-1, 5], [1, 7], [1, 11], [-1, 14], [1, 20], [-1, 23], [1, 26], [1, 29], [-1, 32], [1, 35], [1, 37], [1, 40], [-1, 41], [1, 44], [-1, -49], [1, -46], [-1, -40]], [[-1, 4], [-1, 7], [-1, 26], [-1, 29], [-1, 37], [-1, -40]], [[-1, 1], [1, 2], [1, 7], [-1, 10], [-1, 13], [1, 16], [-1, 19], [-1, 20], [1, 25], [-1, 28], [1, 31], [-1, 37], [1, 40], [-2, 46], [1, 49], [-1, -44], [1, -41]], [[-1, 2], [1, 8], [-1, 11], [1, 17], [-1, 20], [1, 26], [-1, 29], [-1, 34], [-1, 38], [1, 41], [1, 43], [-1, 47], [1, -49], [-2, -43], [1, -40]], [[1, 2], [-1, 8], [1, 11], [-1, 17], [1, 20], [-1, 26], [1, 29], [1, 34], [1, 38], [-1, 41], [-1, 43], [1, 47], [-1, -49], [2, -43], [-1, -40]], [[1, 5], [1, 16], [1, 17], [1, 28], [1, 38], [1, 49]], [[-1, 8], [-1, 25], [-1, 41], [-1, 47], [1, -47]], [[1, 1], [1, 10], [-1, 23], [-1, 32], [1, 34], [1, 43]], [[1, 2], [-1, 8], [1, 11], [-1, 17], [1, 20], [-1, 26], [1, 29], [-1, 34], [1, 38], [-1, 41], [-1, 43], [1, 47], [-1, -49], [-1, -40]], [[1, 8], [-1, 25], [1, 41], [-1, 47], [-1, -47]], [[1, 1], [-1, 7], [1, 10], [-1, 16], [1, 19], [-1, 25], [1, 28], [-1, 35], [1, 37], [-1, 40], [-1, 49], [-1, -46], [1, -44], [-1, -41]], [[1, 4], [-1, 7], [1, 26], [-1, 29], [1, 37], [1, -40]], [[-1, 2], [-1, 4], [1, 5], [-1, 11], [1, 14], [-1, 20], [1, 23], [1, 32], [-1, 35], [-1, 40], [1, 41], [-1, 44], [1, -49], [-1, -46]], [[1, 1], [-1, 4], [1, 10], [-1, 13], [1, 16], [1, 17], [1, 19], [-1, 22], [1, 28], [-1, 31], [1, 34], [1, 38], [-1, 40], [1, 43], [-1, 49], [1, -49], [1, -47], [-1, -41]], [[-1, 8], [-1, 14], [-1, 19], [-1, 25], [-1, 47], [-1, -41]], [[1, 2], [-1, 4], [-1, 5], [1, 11], [-1, 14], [1, 20], [-1, 23], [-1, 32], [1, 35], [1, 40], [-1, 41], [1, 44], [-1, -49], [1, -46], [-2, -40]], [[-1, 8], [1, 14], [-1, 19], [1, 25], [1, 47], [1, -41]], [[1, 4], [1, 7], [1, 26], [1, 29], [1, 37], [1, -40]], [[1, 1], [-1, 2], [1, 8], [-1, 10], [-1, 11], [1, 17], [-1, 20], [-1, 23], [1, 26], [-1, 29], [1, 32], [-1, 38], [1, 41], [-1, 47], [1, -49], [-2, -43], [1, -40]], [[1, 8], [1, 25], [1, 41], [1, 47], [-1, -47]], [[-1, 1], [-1, 2], [1, 8], [-1, 10], [-1, 11], [1, 17], [-1, 20], [1, 23], [1, 26], [-1, 29], [1, 32], [-1, 38], [1, 41], [-1, 47], [1, -49], [1, -40]], [[1, 1], [-1, 4], [1, 10], [-1, 13], [-1, 16], [1, 17], [1, 19], [-1, 22], [1, 28], [-1, 31], [1, 34], [-1, 38], [-1, 40], [1, 43], [-1, 49], [1, -49], [1, -47], [-1, -41]], [[1, 2], [-1, 13], [-1, 20], [1, 31], [1, 35], [-1, -46]], [[-1, 1], [-1, 2], [1, 7], [-1, 10], [1, 13], [1, 16], [-1, 19], [-1, 20], [1, 25], [-1, 28], [1, 31], [-1, 37], [1, 40], [1, 49], [-1, -44], [1, -41]], [[1, 2], [-1, 13], [1, 20], [-1, 31], [1, 35], [1, -46]], [[1, 2], [-1, 5], [1, 7], [1, 11], [-1, 14], [1, 20], [-1, 23], [-1, 26], [1, 29], [-1, 32], [1, 35], [-1, 37], [1, 40], [-1, 41], [1, 44], [-1, -49], [1, -46], [-1, -40]], [[-1, 1], [1, 7], [-1, 10], [1, 16], [-1, 19], [1, 25], [-1, 28], [-1, 35], [-1, 37], [1, 40], [-2, 46], [1, 49], [1, -46], [-1, -44], [1, -41]], [[-1, 5], [-1, 16], [-1, 17], [-1, 28], [-1, 38], [-1, 49]], [[1, 5], [1, 16], [-1, 17], [-1, 28], [1, 38], [1, 49]], [[-1, 1], [1, 4], [1, 5], [-1, 10], [1, 13], [-1, 19], [1, 22], [1, 31], [-1, 34], [1, 40], [-1, 43], [2, 49], [-1, -49], [-1, -47], [1, -41]], [[1, 1], [-1, 4], [-1, 5], [1, 10], [-1, 13], [1, 19], [-1, 22], [-1, 31], [1, 34], [-1, 40], [1, 43], [-2, 49], [1, -49], [1, -47], [-1, -41]], [[-1, 1], [1, 10], [1, 23], [-1, 32], [-1, 34], [1, 43]], [[-1, 2], [1, 13], [1, 20], [-1, 31], [-1, 35], [1, -46]], [[1, 14], [1, 19], [-1, 41], [1, -47], [1, -41]], [[1, 1], [-1, 7], [1, 10], [-1, 16], [1, 19], [-1, 25], [1, 28], [1, 35], [1, 37], [-1, 40], [2, 46], [-1, 49], [-1, -46], [1, -44], [-1, -41]], [[1, 1], [-1, 10], [-1, 23], [1, 32], [1, 34], [-1, 43]], [[1, 8], [1, 14], [1, 19], [1, 25], [1, 47], [1, -41]], [[-1, 1], [1, 2], [-1, 8], [1, 10], [1, 11], [-1, 17], [1, 20], [1, 23], [-1, 26], [1, 29], [-1, 32], [1, 38], [-1, 41], [1, 47], [-1, -49], [2, -43], [-1, -40]], [[-1, 14], [-1, 19], [1, 41], [-1, -47], [-1, -41]]]}
• 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: 76828128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1584, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 66, 'label': '1584.122.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1584.122', 'subgroup_hash': 122, 'subgroup_order': 1584, 'subgroup_tex': 'D_{22}.D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 76828160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 792, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '792.17', 'subgroup_hash': 17, 'subgroup_order': 792, 'subgroup_tex': 'C_{99}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 792, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '792.27', 'subgroup_hash': 27, 'subgroup_order': 792, 'subgroup_tex': 'C_{99}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828182
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 792, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '792.21', 'subgroup_hash': 21, 'subgroup_order': 792, 'subgroup_tex': 'C_{18}:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 792, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '792.11', 'subgroup_hash': 11, 'subgroup_order': 792, 'subgroup_tex': 'C_9:D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828204
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 792, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '792.9', 'subgroup_hash': 9, 'subgroup_order': 792, 'subgroup_tex': 'C_{18}.D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 76828215
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 792, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.2.f1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '792.7', 'subgroup_hash': 7, 'subgroup_order': 792, 'subgroup_tex': 'D_{99}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 792, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.2.g1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '792.5', 'subgroup_hash': 5, 'subgroup_order': 792, 'subgroup_tex': 'C_{99}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76828237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 264, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '528.111', 'subgroup_hash': 111, 'subgroup_order': 528, 'subgroup_tex': 'D_{22}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 76828129
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': True, 'core_order': 396, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '396.10', 'subgroup_hash': 10, 'subgroup_order': 396, 'subgroup_tex': 'C_2\\times C_{198}', 'supersolvable': True, 'sylow': 0}
  • id: 76828140
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 396, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '396.7', 'subgroup_hash': 7, 'subgroup_order': 396, 'subgroup_tex': 'C_9\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 76828151
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 396, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '396.9', 'subgroup_hash': 9, 'subgroup_order': 396, 'subgroup_tex': 'D_{198}', 'supersolvable': True, 'sylow': 0}
  • id: 76828153
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 396, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '396.1', 'subgroup_hash': 1, 'subgroup_order': 396, 'subgroup_tex': 'C_9:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828154
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 396, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '396.1', 'subgroup_hash': 1, 'subgroup_order': 396, 'subgroup_tex': 'C_9:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828155
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 396, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '396.2', 'subgroup_hash': 2, 'subgroup_order': 396, 'subgroup_tex': 'C_{11}:C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 76828156
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 396, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '396.3', 'subgroup_hash': 3, 'subgroup_order': 396, 'subgroup_tex': 'C_{99}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 264, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '264.17', 'subgroup_hash': 17, 'subgroup_order': 264, 'subgroup_tex': 'C_{33}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 132, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '264.27', 'subgroup_hash': 27, 'subgroup_order': 264, 'subgroup_tex': 'C_{33}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828159
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 132, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '264.21', 'subgroup_hash': 21, 'subgroup_order': 264, 'subgroup_tex': 'C_6:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 132, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '264.9', 'subgroup_hash': 9, 'subgroup_order': 264, 'subgroup_tex': 'C_3:D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828162
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 132, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '264.5', 'subgroup_hash': 5, 'subgroup_order': 264, 'subgroup_tex': 'C_6.D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 76828163
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 132, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '264.7', 'subgroup_hash': 7, 'subgroup_order': 264, 'subgroup_tex': 'D_{33}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 132, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '264.11', 'subgroup_hash': 11, 'subgroup_order': 264, 'subgroup_tex': 'C_{33}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76828165
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': True, 'core_order': 198, 'counter': 24, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.122.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '198.4', 'subgroup_hash': 4, 'subgroup_order': 198, 'subgroup_tex': 'C_{198}', 'supersolvable': True, 'sylow': 0}
  • id: 76828166
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': False, 'core_order': 99, 'counter': 25, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '198.4', 'subgroup_hash': 4, 'subgroup_order': 198, 'subgroup_tex': 'C_{198}', 'supersolvable': True, 'sylow': 0}
  • id: 76828167
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 99, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '198.2', 'subgroup_hash': 2, 'subgroup_order': 198, 'subgroup_tex': 'C_9\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 76828168
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 99, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '198.3', 'subgroup_hash': 3, 'subgroup_order': 198, 'subgroup_tex': 'D_{99}', 'supersolvable': True, 'sylow': 0}
  • id: 76828169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 22, 'label': '1584.122.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '176.30', 'subgroup_hash': 30, 'subgroup_order': 176, 'subgroup_tex': 'D_{44}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 76828170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 72, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1584.122.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.42', 'subgroup_hash': 42, 'subgroup_order': 144, 'subgroup_tex': 'D_4:D_9', 'supersolvable': True, 'sylow': 0}
  • id: 76828172
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': True, 'core_order': 132, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '132.10', 'subgroup_hash': 10, 'subgroup_order': 132, 'subgroup_tex': 'C_2\\times C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 76828173
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 132, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '132.7', 'subgroup_hash': 7, 'subgroup_order': 132, 'subgroup_tex': 'C_3\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 76828174
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 132, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '132.2', 'subgroup_hash': 2, 'subgroup_order': 132, 'subgroup_tex': 'C_{11}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 76828175
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 66, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '132.9', 'subgroup_hash': 9, 'subgroup_order': 132, 'subgroup_tex': 'D_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 76828176
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 66, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '132.1', 'subgroup_hash': 1, 'subgroup_order': 132, 'subgroup_tex': 'C_3:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828177
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 66, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '132.1', 'subgroup_hash': 1, 'subgroup_order': 132, 'subgroup_tex': 'C_3:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828178
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 66, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '132.3', 'subgroup_hash': 3, 'subgroup_order': 132, 'subgroup_tex': 'C_{33}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828179
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': True, 'core_order': 99, 'counter': 37, 'cyclic': True, 'direct': False, 'hall': 33, 'label': '1584.122.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
  • id: 76828180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': True, 'centralizer_order': 36, 'characteristic': True, 'core_order': 88, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 76828181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.18.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.7', 'subgroup_hash': 7, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828183
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 44, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.18.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.8', 'subgroup_hash': 8, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.18.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.5', 'subgroup_hash': 5, 'subgroup_order': 88, 'subgroup_tex': 'D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828185
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.18.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 76828186
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.18.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 76828187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.18.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76828188
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 72, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '22.a1.a1', 'outer_equivalence': False, '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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.7', 'subgroup_hash': 7, 'subgroup_order': 72, 'subgroup_tex': 'C_{18}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 36, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.22.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.10', 'subgroup_hash': 10, 'subgroup_order': 72, 'subgroup_tex': 'D_4\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 76828190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 36, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.22.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.8', 'subgroup_hash': 8, 'subgroup_order': 72, 'subgroup_tex': 'C_9:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 36, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.22.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.8', 'subgroup_hash': 8, 'subgroup_order': 72, 'subgroup_tex': 'C_9:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828192
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 36, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.22.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.7', 'subgroup_hash': 7, 'subgroup_order': 72, 'subgroup_tex': 'C_{18}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828194
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 36, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.22.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.5', 'subgroup_hash': 5, 'subgroup_order': 72, 'subgroup_tex': 'C_4\\times D_9', 'supersolvable': True, 'sylow': 0}
  • id: 76828195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 36, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.22.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.4', 'subgroup_hash': 4, 'subgroup_order': 72, 'subgroup_tex': 'C_9:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76828196
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': True, 'core_order': 66, 'counter': 52, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.122.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '66.4', 'subgroup_hash': 4, 'subgroup_order': 66, 'subgroup_tex': 'C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 76828197
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': False, 'core_order': 33, 'counter': 53, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66.4', 'subgroup_hash': 4, 'subgroup_order': 66, 'subgroup_tex': 'C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 76828198
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 33, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66.2', 'subgroup_hash': 2, 'subgroup_order': 66, 'subgroup_tex': 'C_3\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 76828199
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 33, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66.3', 'subgroup_hash': 3, 'subgroup_order': 66, 'subgroup_tex': 'D_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 76828200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 12, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.33.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 33, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.39', 'subgroup_hash': 39, 'subgroup_order': 48, 'subgroup_tex': 'D_4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 76828201
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 44, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.36.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{18}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 76828202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': True, 'core_order': 44, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.36.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{18}', '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: 76828203
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': True, 'core_order': 44, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.36.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{18}', '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: 76828205
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 22, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.36.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 76828206
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 61, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.36.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828207
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 62, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.36.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 76828208
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 22, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.36.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828209
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': True, 'core_order': 36, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.a1.a1', 'outer_equivalence': False, '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': '36.5', 'subgroup_hash': 5, 'subgroup_order': 36, 'subgroup_tex': 'C_2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 76828210
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': True, 'centralizer_order': 88, 'characteristic': True, 'core_order': 36, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.44.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '44.b1.a1', 'outer_equivalence': False, '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': '36.1', 'subgroup_hash': 1, 'subgroup_order': 36, 'subgroup_tex': 'C_9:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828211
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 36, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.44.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '44.c1.a1', 'outer_equivalence': False, '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': '36.1', 'subgroup_hash': 1, 'subgroup_order': 36, 'subgroup_tex': 'C_9:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828212
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 18, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.44.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.5', 'subgroup_hash': 5, 'subgroup_order': 36, 'subgroup_tex': 'C_2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 76828213
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 18, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.44.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.4', 'subgroup_hash': 4, 'subgroup_order': 36, 'subgroup_tex': 'D_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 76828214
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 18, 'counter': 69, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.44.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 76828216
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 18, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.44.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.1', 'subgroup_hash': 1, 'subgroup_order': 36, 'subgroup_tex': 'C_9:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828217
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': True, 'core_order': 33, 'counter': 71, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.122.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.39', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 39, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:S_3', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 76828218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 12, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.66.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 12, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.66.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828220
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 12, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.66.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 6, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.66.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828222
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.66.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828223
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.66.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 76828224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 6, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.66.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76828225
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 22, 'counter': 79, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.122.72.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.17', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{18}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 76828227
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': False, 'core_order': 11, 'counter': 80, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.72.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 76828228
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 11, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.72.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 76828229
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 11, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.72.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 76828230
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 18, 'counter': 83, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.122.88.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.a1.a1', 'outer_equivalence': False, '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': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 76828231
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': False, 'core_order': 9, 'counter': 84, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.88.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 76828232
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 9, 'counter': 85, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.88.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 76828233
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 9, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.88.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '18.1', 'subgroup_hash': 1, 'subgroup_order': 18, 'subgroup_tex': 'D_9', 'supersolvable': True, 'sylow': 0}
  • id: 76828234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1584.122.99.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '99.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 99, 'quotient_simple': 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': 2}
  • id: 76828235
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': True, 'core_order': 12, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.132.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '132.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '132.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 132, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 76828236
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 6, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.132.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '132.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 76828238
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.132.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 76828239
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 6, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.132.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828240
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 6, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.132.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828241
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 6, 'counter': 93, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.132.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '132.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 76828242
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.132.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76828243
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 11, 'counter': 95, 'cyclic': True, 'direct': False, 'hall': 11, 'label': '1584.122.144.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '144.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.42', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_9', 'simple': True, 'solvable': True, 'special_labels': ['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: 76828244
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 9, 'counter': 96, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '1584.122.176.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '176.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '176.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 176, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{44}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 3}
  • id: 76828245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 4, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.198.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '198.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 198, 'quotient_simple': 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: 76828246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.198.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '198.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 198, 'quotient_simple': 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: 76828247
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 4, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.198.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '198.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 198, 'quotient_simple': 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: 76828130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.198.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '198.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 198, 'quotient_simple': 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: 76828131
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.198.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '198.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 198, 'quotient_simple': 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: 76828132
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.198.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '198.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 198, 'quotient_simple': 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: 76828133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.198.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '198.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 198, 'quotient_simple': 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: 76828134
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 6, 'counter': 104, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.122.264.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '264.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '264.34', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 34, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 264, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{22}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 76828135
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 396, 'characteristic': False, 'core_order': 3, 'counter': 105, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.264.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '264.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 76828136
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 3, 'counter': 106, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.264.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '264.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 76828137
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 3, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.264.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 76828138
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 4, 'counter': 108, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.122.396.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '396.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '396.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 396, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_9\\times D_{11}', 'simple': False, 'solvable': True, 'special_labels': ['U0'], '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: 76828139
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 2, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.396.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '396.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 396, 'quotient_simple': 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: 76828141
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.122.396.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '396.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 396, 'quotient_simple': 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: 76828142
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 111, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.396.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '396.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 396, 'quotient_simple': 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: 76828143
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 2, 'counter': 112, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.396.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '396.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 396, 'quotient_simple': 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: 76828144
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 2, 'counter': 113, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.396.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '396.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 396, 'quotient_simple': 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: 76828145
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 114, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.396.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '396.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 396, 'quotient_simple': 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: 76828146
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 3, 'counter': 115, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.122.528.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '528.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '528.111', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 111, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 528, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}.D_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 76828147
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': True, 'central_factor': False, 'centralizer_order': 1584, 'characteristic': True, 'core_order': 2, 'counter': 116, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.122.792.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '792.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '792.40', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 792, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_9\\times D_{22}', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U1'], '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: 76828148
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': False, 'core_order': 1, 'counter': 117, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.792.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '792.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 792, '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: 76828149
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 1, 'counter': 118, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.792.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '792.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 792, '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: 76828150
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.122.792.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '792.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 792, '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: 76828152
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.122', 'ambient_counter': 122, 'ambient_order': 1584, 'ambient_tex': 'D_{22}.D_{18}', 'central': True, 'central_factor': False, 'centralizer_order': 1584, 'characteristic': True, 'core_order': 1, 'counter': 120, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1584.122.1584.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1584.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1584.122', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 122, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1584, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}.D_{18}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', '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: 76828164
    {'ambient': '1584.122', 'aut_centralizer_order': 6, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 18, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.f1.a1', '12.g1.a1', '18.g1.a1', '66.g1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8071, -1, 6280, -1, 6575, -1, 6808, -1], 'generators': [73, 4, 1056, 974, 144], 'label': '1584.122.6.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.g1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1.a1', 'subgroup_fusion': None, 'weyl_group': '264.34'}
  • id: 76828128
    {'ambient': '1584.122', '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': '792.a1.a1', 'complements': ['1584.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1', '3.a1.a1', '11.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2896, 4501, 3052, 5000, 2525, 4846, 2431, 3688], 'generators': [1, 144, 792, 4, 2, 1056, 1408], 'label': '1584.122.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '792.40'}
  • id: 76828129
    {'ambient': '1584.122', 'aut_centralizer_order': 396, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '120.47', 'aut_weyl_index': 396, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '12.a1.a1', '44.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1283, 4461, 3028, 5000, 623, 4846, 1062, 8240], 'generators': [4, 1408, 144, 792, 1056], 'label': '1584.122.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '12.a1.a1', '44.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828130
    {'ambient': '1584.122', 'aut_centralizer_order': 120, 'aut_label': '198.d1', 'aut_quo_index': None, 'aut_stab_index': 99, 'aut_weyl_group': '4.2', 'aut_weyl_index': 11880, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1.a1', '66.d1.a1', '99.a1.a1'], 'contains': ['396.b1.a1', '396.c1.a1', '396.e1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 99, 'diagramx': [6800, -1, 6985, -1, 6916, -1, 6178, -1], 'generators': [1, 974], 'label': '1584.122.198.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '99.a1.a1', 'old_label': '198.d1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '198.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828131
    {'ambient': '1584.122', 'aut_centralizer_order': 120, 'aut_label': '198.e1', 'aut_quo_index': None, 'aut_stab_index': 99, 'aut_weyl_group': '4.2', 'aut_weyl_index': 11880, 'centralizer': '198.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1.a1', '66.e1.a1', '99.a1.a1'], 'contains': ['396.b1.a1', '396.d1.a1', '396.g1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 99, 'diagramx': [8863, -1, 7659, -1, 7326, -1, 8617, -1], 'generators': [1, 2], 'label': '1584.122.198.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '99.a1.a1', 'old_label': '198.e1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '198.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828132
    {'ambient': '1584.122', 'aut_centralizer_order': 120, 'aut_label': '198.f1', 'aut_quo_index': None, 'aut_stab_index': 99, 'aut_weyl_group': '4.2', 'aut_weyl_index': 11880, 'centralizer': '198.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.f1.a1', '66.f1.a1', '99.a1.a1'], 'contains': ['396.c1.a1', '396.d1.a1', '396.f1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 99, 'diagramx': [9334, -1, 9137, -1, 8894, -1, 7857, -1], 'generators': [73, 2], 'label': '1584.122.198.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '99.a1.a1', 'old_label': '198.f1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '198.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828133
    {'ambient': '1584.122', 'aut_centralizer_order': 120, 'aut_label': '198.g1', 'aut_quo_index': None, 'aut_stab_index': 99, 'aut_weyl_group': '4.2', 'aut_weyl_index': 11880, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.g1.a1', '66.g1.a1', '99.a1.a1'], 'contains': ['396.e1.a1', '396.f1.a1', '396.g1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 99, 'diagramx': [9720, -1, 8176, -1, 7849, -1, 8376, -1], 'generators': [73, 974], 'label': '1584.122.198.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '99.a1.a1', 'old_label': '198.g1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '198.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828134
    {'ambient': '1584.122', 'aut_centralizer_order': 23760, 'aut_label': '264.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 23760, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '88.a1.a1', '132.a1.a1', '132.b1.a1', '132.c1.a1', '132.d1.a1', '132.e1.a1', '132.f1.a1', '132.g1.a1'], 'contains': ['528.a1.a1', '792.a1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4087, 5119, 4212, 5072, 4916, 5271, 4945, 5617], 'generators': [4, 1056], 'label': '1584.122.264.a1.a1', 'mobius_quo': 1, 'mobius_sub': -264, 'normal_closure': '264.a1.a1', 'normal_contained_in': ['24.a1.a1', '88.a1.a1', '132.a1.a1'], 'normal_contains': ['528.a1.a1', '792.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '264.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '132.7', 'quotient_action_kernel_order': 132, 'quotient_fusion': None, 'short_label': '264.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828135
    {'ambient': '1584.122', 'aut_centralizer_order': 11880, 'aut_label': '264.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 23760, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '88.b1.a1', '132.a1.a1'], 'contains': ['528.a1.a1', '792.b1.a1'], 'core': '528.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2000, -1, 3150, -1, 3628, -1, 4125, -1], 'generators': [792, 1056], 'label': '1584.122.264.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '132.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '264.b1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828136
    {'ambient': '1584.122', 'aut_centralizer_order': 1080, 'aut_label': '264.c1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 23760, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '88.c1.a1', '132.b1.a1'], 'contains': ['528.a1.a1', '792.c1.a1'], 'core': '528.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2196, -1, 2199, -1, 4001, -1, 3587, -1], 'generators': [1, 1056], 'label': '1584.122.264.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.e1.a1', 'old_label': '264.c1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828137
    {'ambient': '1584.122', 'aut_centralizer_order': 120, 'aut_label': '264.d1', 'aut_quo_index': None, 'aut_stab_index': 66, 'aut_weyl_group': '6.1', 'aut_weyl_index': 7920, 'centralizer': '396.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '88.d1.a1', '132.c1.a1'], 'contains': ['528.a1.a1', '792.d1.a1'], 'core': '528.a1.a1', 'coset_action_label': None, 'count': 66, 'diagramx': [1485, -1, 1600, -1, 3460, -1, 3754, -1], 'generators': [251, 1056], 'label': '1584.122.264.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '66.f1.a1', 'old_label': '264.d1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264.d1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 76828138
    {'ambient': '1584.122', 'aut_centralizer_order': 23760, 'aut_label': '396.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 23760, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '132.a1.a1', '198.a1.a1', '198.b1.a1', '198.c1.a1'], 'contains': ['792.a1.a1', '792.b1.a1'], 'core': '396.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7628, 6332, 7389, 6300, 6433, 6366, 6657, 6688], 'generators': [4, 792], 'label': '1584.122.396.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '396.a1.a1', 'normal_contained_in': ['36.a1.a1', '132.a1.a1'], 'normal_contains': ['792.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '396.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '198.1', 'quotient_action_kernel_order': 198, 'quotient_fusion': None, 'short_label': '396.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828139
    {'ambient': '1584.122', 'aut_centralizer_order': 2160, 'aut_label': '396.b1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '2.1', 'aut_weyl_index': 23760, 'centralizer': '22.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1.a1', '132.b1.a1', '198.a1.a1', '198.d1.a1', '198.e1.a1'], 'contains': ['792.a1.a1', '792.c1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7156, -1, 7175, -1, 6727, -1, 6178, -1], 'generators': [1, 4], 'label': '1584.122.396.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '396.b1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '396.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828140
    {'ambient': '1584.122', 'aut_centralizer_order': 36, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1320.144', 'aut_weyl_index': 36, 'centralizer': '88.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '12.b1.a1', '44.d1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2147, 8392, 1342, 8801, 1048, 6845, 200, 7058], 'generators': [1, 1408, 1056, 4, 144], 'label': '1584.122.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.a1.a1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 76828141
    {'ambient': '1584.122', 'aut_centralizer_order': 240, 'aut_label': '396.c1', 'aut_quo_index': None, 'aut_stab_index': 99, 'aut_weyl_group': '2.1', 'aut_weyl_index': 23760, 'centralizer': '198.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.a1', '132.c1.a1', '198.b1.a1', '198.d1.a1', '198.f1.a1'], 'contains': ['792.a1.a1', '792.d1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 99, 'diagramx': [6933, -1, 6392, -1, 6157, -1, 6368, -1], 'generators': [251, 4], 'label': '1584.122.396.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '99.a1.a1', 'old_label': '396.c1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '396.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828142
    {'ambient': '1584.122', 'aut_centralizer_order': 2640, 'aut_label': '396.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 23760, 'centralizer': '9.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.e1.a1', '132.d1.a1', '198.c1.a1', '198.e1.a1', '198.f1.a1'], 'contains': ['792.a1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8450, -1, 8814, -1, 8157, -1, 7734, -1], 'generators': [2], 'label': '1584.122.396.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '396.d1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '396.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76828143
    {'ambient': '1584.122', 'aut_centralizer_order': 2640, 'aut_label': '396.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 23760, 'centralizer': '18.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.f1.a1', '132.e1.a1', '198.c1.a1', '198.d1.a1', '198.g1.a1'], 'contains': ['792.a1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6665, -1, 7731, -1, 7380, -1, 6835, -1], 'generators': [974], 'label': '1584.122.396.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '396.e1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '396.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828144
    {'ambient': '1584.122', 'aut_centralizer_order': 2160, 'aut_label': '396.f1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '2.1', 'aut_weyl_index': 23760, 'centralizer': '22.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1.a1', '132.f1.a1', '198.a1.a1', '198.f1.a1', '198.g1.a1'], 'contains': ['792.a1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [9579, -1, 8122, -1, 7748, -1, 7327, -1], 'generators': [73], 'label': '1584.122.396.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '396.f1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '396.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828145
    {'ambient': '1584.122', 'aut_centralizer_order': 240, 'aut_label': '396.g1', 'aut_quo_index': None, 'aut_stab_index': 99, 'aut_weyl_group': '2.1', 'aut_weyl_index': 23760, 'centralizer': '198.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.a1', '132.g1.a1', '198.b1.a1', '198.e1.a1', '198.g1.a1'], 'contains': ['792.a1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 99, 'diagramx': [8805, -1, 6887, -1, 6906, -1, 8198, -1], 'generators': [3], 'label': '1584.122.396.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '99.a1.a1', 'old_label': '396.g1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '396.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828146
    {'ambient': '1584.122', 'aut_centralizer_order': 23760, 'aut_label': '528.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 23760, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '176.a1.a1', '264.a1.a1', '264.b1.a1', '264.c1.a1', '264.d1.a1'], 'contains': ['1584.a1.a1'], 'core': '528.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2000, 5341, 2341, 5296, 3815, 5536, 3940, 5097], 'generators': [1056], 'label': '1584.122.528.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '528.a1.a1', 'normal_contained_in': ['48.a1.a1', '176.a1.a1', '264.a1.a1'], 'normal_contains': ['1584.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '528.a1.a1', 'projective_image': '1584.122', 'quotient_action_image': '2.1', 'quotient_action_kernel': '264.17', 'quotient_action_kernel_order': 264, 'quotient_fusion': None, 'short_label': '528.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828147
    {'ambient': '1584.122', 'aut_centralizer_order': 47520, 'aut_label': '792.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 47520, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '264.a1.a1', '396.a1.a1', '396.b1.a1', '396.c1.a1', '396.d1.a1', '396.e1.a1', '396.f1.a1', '396.g1.a1'], 'contains': ['1584.a1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7414, 6332, 7282, 6300, 6815, 6187, 6745, 6136], 'generators': [4], 'label': '1584.122.792.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '792.a1.a1', 'normal_contained_in': ['72.a1.a1', '264.a1.a1', '396.a1.a1'], 'normal_contains': ['1584.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '792.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '1.1', 'quotient_action_kernel': '792.40', 'quotient_action_kernel_order': 792, 'quotient_fusion': None, 'short_label': '792.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76828148
    {'ambient': '1584.122', 'aut_centralizer_order': 23760, 'aut_label': '792.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 47520, 'centralizer': '2.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.b1.a1', '264.b1.a1', '396.a1.a1'], 'contains': ['1584.a1.a1'], 'core': '1584.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5099, -1, 5710, -1, 5429, -1, 5825, -1], 'generators': [792], 'label': '1584.122.792.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '396.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '792.b1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76828149
    {'ambient': '1584.122', 'aut_centralizer_order': 2160, 'aut_label': '792.c1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '1.1', 'aut_weyl_index': 47520, 'centralizer': '22.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1.a1', '264.c1.a1', '396.b1.a1'], 'contains': ['1584.a1.a1'], 'core': '1584.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4703, -1, 5080, -1, 5803, -1, 5288, -1], 'generators': [1], 'label': '1584.122.792.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.e1.a1', 'old_label': '792.c1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76828150
    {'ambient': '1584.122', 'aut_centralizer_order': 240, 'aut_label': '792.d1', 'aut_quo_index': None, 'aut_stab_index': 198, 'aut_weyl_group': '1.1', 'aut_weyl_index': 47520, 'centralizer': '198.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.d1.a1', '264.d1.a1', '396.c1.a1'], 'contains': ['1584.a1.a1'], 'core': '1584.a1.a1', 'coset_action_label': None, 'count': 198, 'diagramx': [4037, -1, 3291, -1, 5261, -1, 5455, -1], 'generators': [251], 'label': '1584.122.792.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '198.f1.a1', 'old_label': '792.d1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76828151
    {'ambient': '1584.122', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '792.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '12.d1.a1', '44.e1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1650, 3392, 866, 6082, 93, 3949, 749, 2519], 'generators': [251, 1408, 144, 4, 1056], 'label': '1584.122.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '792.40'}
  • id: 76828152
    {'ambient': '1584.122', 'aut_centralizer_order': None, 'aut_label': '1584.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['144.a1.a1', '528.a1.a1', '792.a1.a1', '792.b1.a1', '792.c1.a1', '792.d1.a1'], 'contains': [], 'core': '1584.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4806, 6332, 4946, 6300, 5523, 6187, 5547, 5617], 'generators': [], 'label': '1584.122.1584.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1584.a1.a1', 'normal_contained_in': ['144.a1.a1', '528.a1.a1', '792.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1584.a1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1584.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76828153
    {'ambient': '1584.122', 'aut_centralizer_order': 44, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1080.351', 'aut_weyl_index': 44, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '12.e1.a1', '44.b1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2979, 2234, 4405, 1015, 4531, 1690, 4224, 792], 'generators': [2, 4, 1408, 144, 1056], 'label': '1584.122.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1', '44.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 76828154
    {'ambient': '1584.122', 'aut_centralizer_order': 44, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1080.351', 'aut_weyl_index': 44, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '12.f1.a1', '44.c1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [787, 697, 2354, 2570, 2916, 2979, 2406, 3468], 'generators': [974, 4, 1408, 144, 1056], 'label': '1584.122.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '44.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 76828155
    {'ambient': '1584.122', 'aut_centralizer_order': 36, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1320.144', 'aut_weyl_index': 36, 'centralizer': '88.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '12.c1.a1', '44.f1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4347, 6862, 3800, 7253, 3756, 8127, 3175, 5805], 'generators': [73, 4, 1056, 1408, 144], 'label': '1584.122.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 76828156
    {'ambient': '1584.122', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '792.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '12.g1.a1', '44.g1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3715, 5619, 1847, 3829, 2336, 5815, 4588, 1812], 'generators': [3, 1408, 144, 4, 1056], 'label': '1584.122.4.g1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '792.40'}
  • id: 76828157
    {'ambient': '1584.122', 'aut_centralizer_order': 54, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '880.210', 'aut_weyl_index': 54, 'centralizer': '88.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '18.a1.a1', '66.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6624, 9303, 6756, 9499, 5541, 9416, 5228, 9429], 'generators': [1, 1056, 4, 792, 144], 'label': '1584.122.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '18.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 76828158
    {'ambient': '1584.122', 'aut_centralizer_order': 6, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 18, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.a1', '12.g1.a1', '18.b1.a1', '66.b1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6017, -1, 4284, -1, 4897, -1, 5591, -1], 'generators': [3, 4, 1056, 792, 144], 'label': '1584.122.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '264.34'}
  • id: 76828159
    {'ambient': '1584.122', 'aut_centralizer_order': 66, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '240.206', 'aut_weyl_index': 198, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.e1.a1', '12.f1.a1', '18.c1.a1', '66.c1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5288, -1, 7527, -1, 6941, -1, 6168, -1], 'generators': [2, 144, 4, 792, 1056], 'label': '1584.122.6.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 76828160
    {'ambient': '1584.122', 'aut_centralizer_order': 18, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 18, 'centralizer': '88.a1.a1', 'complements': ['792.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.f1.a1', '6.a1.a1', '22.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2581, 8226, 3366, 8857, 1822, 7974, 1458, 7058], 'generators': [1, 144, 1408, 4, 792, 1056], 'label': '1584.122.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.f1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 76828161
    {'ambient': '1584.122', 'aut_centralizer_order': 6, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 18, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.d1.a1', '12.f1.a1', '18.d1.a1', '66.d1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4356, -1, 4885, -1, 5175, -1, 4864, -1], 'generators': [1, 4, 1056, 974, 144], 'label': '1584.122.6.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': '264.34'}
  • id: 76828162
    {'ambient': '1584.122', 'aut_centralizer_order': 6, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 18, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.e1.a1', '12.g1.a1', '18.e1.a1', '66.e1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7151, -1, 5674, -1, 6209, -1, 7171, -1], 'generators': [1, 4, 1056, 2, 144], 'label': '1584.122.6.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': '264.34'}
  • id: 76828163
    {'ambient': '1584.122', 'aut_centralizer_order': 6, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 18, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.d1.a1', '12.e1.a1', '18.f1.a1', '66.f1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7747, -1, 7935, -1, 7307, -1, 6532, -1], 'generators': [73, 4, 1056, 2, 144], 'label': '1584.122.6.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.f1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1.a1', 'subgroup_fusion': None, 'weyl_group': '264.34'}
  • id: 76828165
    {'ambient': '1584.122', 'aut_centralizer_order': 792, 'aut_label': '8.a1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '60.13', 'aut_weyl_index': 792, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '24.a1.a1', '88.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2057, 4461, 2142, 4831, 2195, 4846, 2251, 3571], 'generators': [4, 144, 1056, 1408], 'label': '1584.122.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1', '88.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828166
    {'ambient': '1584.122', 'aut_centralizer_order': 396, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '60.13', 'aut_weyl_index': 792, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '24.b1.a1', '88.b1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [702, -1, 2901, -1, 399, -1, 849, -1], 'generators': [792, 144, 1056, 1408], 'label': '1584.122.8.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.b1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828167
    {'ambient': '1584.122', 'aut_centralizer_order': 36, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '660.17', 'aut_weyl_index': 72, 'centralizer': '88.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.a1.a1', '24.c1.a1', '88.c1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1310, -1, 1041, -1, 705, -1, 339, -1], 'generators': [1, 1056, 144, 1408], 'label': '1584.122.8.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '8.c1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828168
    {'ambient': '1584.122', 'aut_centralizer_order': 4, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '5940.d', 'aut_weyl_index': 8, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.a1.a1', '24.d1.a1', '88.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [966, -1, 500, -1, 182, -1, 634, -1], 'generators': [251, 144, 1056, 1408], 'label': '1584.122.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.d1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '396.5'}
  • id: 76828169
    {'ambient': '1584.122', 'aut_centralizer_order': 6, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '880.210', 'aut_weyl_index': 54, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['18.a1.a1', '18.b1.a1', '18.c1.a1', '18.d1.a1', '18.e1.a1', '18.f1.a1', '18.g1.a1', '99.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9223, -1, 9038, -1, 8488, -1, 8497, -1], 'generators': [1, 792, 4, 2, 144], 'label': '1584.122.9.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '9.a1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828170
    {'ambient': '1584.122', 'aut_centralizer_order': 10, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '432.559', 'aut_weyl_index': 110, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['22.a1.a1', '22.b1.a1', '22.c1.a1', '22.d1.a1', '22.e1.a1', '22.f1.a1', '22.g1.a1', '33.a1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2665, -1, 2417, -1, 2191, -1, 2100, -1], 'generators': [1, 1056, 1408, 2, 792, 4], 'label': '1584.122.11.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '11.a1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 76828171
    {'ambient': '1584.122', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '792.a1.a1', 'complements': ['792.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.g1.a1', '6.b1.a1', '22.c1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2155, 4501, 1132, 5000, 803, 4846, 1843, 2916], 'generators': [3, 1056, 4, 1408, 792, 144], 'label': '1584.122.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '792.40'}
  • id: 76828172
    {'ambient': '1584.122', 'aut_centralizer_order': 1188, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '40.14', 'aut_weyl_index': 1188, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '36.a1.a1', '132.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5639, 5713, 6275, 5818, 3560, 5848, 3984, 8409], 'generators': [4, 1056, 144, 792], 'label': '1584.122.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '36.a1.a1', '132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828173
    {'ambient': '1584.122', 'aut_centralizer_order': 108, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '440.42', 'aut_weyl_index': 108, 'centralizer': '88.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1', '6.d1.a1', '6.e1.a1'], 'contains': ['24.a1.a1', '24.c1.a1', '36.b1.a1', '132.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5194, 8551, 5047, 8689, 3943, 6938, 3184, 7344], 'generators': [1, 1056, 144, 4], 'label': '1584.122.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '36.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 76828174
    {'ambient': '1584.122', 'aut_centralizer_order': 108, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '440.42', 'aut_weyl_index': 108, 'centralizer': '88.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.a1.a1', '6.f1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '36.c1.a1', '132.f1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7802, 7132, 7037, 7253, 6619, 8127, 6080, 6182], 'generators': [73, 4, 144, 1056], 'label': '1584.122.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.f1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '36.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 76828175
    {'ambient': '1584.122', 'aut_centralizer_order': 12, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1320.142', 'aut_weyl_index': 36, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.b1.a1', '6.d1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.d1.a1', '36.d1.a1', '132.c1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4746, -1, 4290, -1, 3049, -1, 3692, -1], 'generators': [251, 1056, 144, 4], 'label': '1584.122.12.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '264.34'}
  • id: 76828176
    {'ambient': '1584.122', 'aut_centralizer_order': 132, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '120.45', 'aut_weyl_index': 396, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.c1.a1', '6.e1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '36.e1.a1', '132.d1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6537, -1, 7740, -1, 7389, -1, 7130, -1], 'generators': [2, 4, 1056, 144], 'label': '1584.122.12.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 76828177
    {'ambient': '1584.122', 'aut_centralizer_order': 132, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '120.45', 'aut_weyl_index': 396, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.c1.a1', '6.d1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '36.f1.a1', '132.e1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4361, -1, 5810, -1, 5779, -1, 5316, -1], 'generators': [974, 4, 1056, 144], 'label': '1584.122.12.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 76828178
    {'ambient': '1584.122', 'aut_centralizer_order': 12, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1320.142', 'aut_weyl_index': 36, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.b1.a1', '6.e1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '36.g1.a1', '132.g1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7169, -1, 4578, -1, 5198, -1, 7493, -1], 'generators': [3, 1056, 144, 4], 'label': '1584.122.12.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.g1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': '264.34'}
  • id: 76828179
    {'ambient': '1584.122', 'aut_centralizer_order': 792, 'aut_label': '16.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '60.13', 'aut_weyl_index': 792, 'centralizer': '4.a1.a1', 'complements': ['99.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1'], 'contains': ['48.a1.a1', '176.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1001, 4461, 606, 4502, 1486, 4567, 1602, 3812], 'generators': [1408, 1056, 144], 'label': '1584.122.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['48.a1.a1', '176.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '1584.122', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828180
    {'ambient': '1584.122', 'aut_centralizer_order': 108, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '440.42', 'aut_weyl_index': 108, 'centralizer': '44.b1.a1', 'complements': ['88.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.b1.a1', '36.c1.a1', '198.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8391, 8741, 9038, 8777, 8241, 9170, 7975, 9324], 'generators': [1, 4, 144, 792], 'label': '1584.122.18.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': ['6.a1.a1'], 'normal_contains': ['36.a1.a1', '36.b1.a1', '36.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.1', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828181
    {'ambient': '1584.122', 'aut_centralizer_order': 12, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '440.42', 'aut_weyl_index': 108, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.d1.a1', '36.g1.a1', '198.b1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8065, -1, 6847, -1, 7756, -1, 8251, -1], 'generators': [3, 4, 144, 792], 'label': '1584.122.18.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.b1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828182
    {'ambient': '1584.122', 'aut_centralizer_order': 22, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 22, 'centralizer': '36.a1.a1', 'complements': ['792.c1.a1', '792.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '4.e1.a1', '6.c1.a1', '22.a1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1728, 697, 3879, 1223, 3311, 1657, 2431, 5480], 'generators': [2, 1056, 144, 4, 792, 1408], 'label': '1584.122.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.d1.a1', '4.e1.a1', '22.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 76828183
    {'ambient': '1584.122', 'aut_centralizer_order': 132, 'aut_label': '18.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '40.14', 'aut_weyl_index': 1188, 'centralizer': '18.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.e1.a1', '36.f1.a1', '198.c1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7462, -1, 9404, -1, 9447, -1, 8793, -1], 'generators': [2, 144, 4, 792], 'label': '1584.122.18.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.c1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828184
    {'ambient': '1584.122', 'aut_centralizer_order': 12, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '440.42', 'aut_weyl_index': 108, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '9.a1.a1'], 'contains': ['36.b1.a1', '36.d1.a1', '36.f1.a1', '198.d1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6809, -1, 7347, -1, 7998, -1, 7734, -1], 'generators': [1, 4, 144, 974], 'label': '1584.122.18.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.d1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828185
    {'ambient': '1584.122', 'aut_centralizer_order': 12, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '440.42', 'aut_weyl_index': 108, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '9.a1.a1'], 'contains': ['36.b1.a1', '36.e1.a1', '36.g1.a1', '198.e1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9530, -1, 7961, -1, 8787, -1, 9831, -1], 'generators': [1, 4, 144, 2], 'label': '1584.122.18.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.e1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.e1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828186
    {'ambient': '1584.122', 'aut_centralizer_order': 12, 'aut_label': '18.f1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '440.42', 'aut_weyl_index': 108, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '9.a1.a1'], 'contains': ['36.c1.a1', '36.d1.a1', '36.e1.a1', '198.f1.a1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8982, -1, 9930, -1, 9830, -1, 9173, -1], 'generators': [73, 4, 144, 2], 'label': '1584.122.18.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.f1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.f1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828187
    {'ambient': '1584.122', 'aut_centralizer_order': 12, 'aut_label': '18.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '440.42', 'aut_weyl_index': 108, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.a1', '9.a1.a1'], 'contains': ['36.c1.a1', '36.f1.a1', '36.g1.a1', '198.g1.a1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9926, -1, 8385, -1, 9118, -1, 9502, -1], 'generators': [73, 4, 144, 974], 'label': '1584.122.18.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.g1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.g1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828188
    {'ambient': '1584.122', 'aut_centralizer_order': 220, 'aut_label': '22.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '216.111', 'aut_weyl_index': 220, 'centralizer': '36.a1.a1', 'complements': ['72.c1.a1', '72.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.b1.a1', '44.c1.a1', '66.c1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [914, 1378, 3567, 598, 3336, 495, 1989, 4636], 'generators': [2, 1056, 792, 4, 1408], 'label': '1584.122.22.a1.a1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '22.a1.a1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['44.a1.a1', '44.b1.a1', '44.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '22.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 76828189
    {'ambient': '1584.122', 'aut_centralizer_order': 180, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '24.15', 'aut_weyl_index': 1980, 'centralizer': '88.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.d1.a1', '44.f1.a1', '66.a1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2345, -1, 3072, -1, 1647, -1, 1421, -1], 'generators': [1, 1056, 792, 1408, 4], 'label': '1584.122.22.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.b1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 76828190
    {'ambient': '1584.122', 'aut_centralizer_order': 20, 'aut_label': '22.c1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '216.111', 'aut_weyl_index': 220, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.e1.a1', '44.g1.a1', '66.b1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2032, -1, 353, -1, 315, -1, 1688, -1], 'generators': [3, 1056, 792, 4, 1408], 'label': '1584.122.22.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.c1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.c1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 76828191
    {'ambient': '1584.122', 'aut_centralizer_order': 20, 'aut_label': '22.d1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '216.111', 'aut_weyl_index': 220, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '11.a1.a1'], 'contains': ['44.c1.a1', '44.d1.a1', '44.e1.a1', '66.d1.a1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [228, -1, 1373, -1, 1379, -1, 529, -1], 'generators': [1, 1056, 974, 4, 1408], 'label': '1584.122.22.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.d1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.d1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 76828192
    {'ambient': '1584.122', 'aut_centralizer_order': 20, 'aut_label': '22.e1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '216.111', 'aut_weyl_index': 220, 'centralizer': '396.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '11.a1.a1'], 'contains': ['44.b1.a1', '44.d1.a1', '44.g1.a1', '66.e1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3056, -1, 1923, -1, 2002, -1, 3807, -1], 'generators': [1, 1056, 2, 4, 1408], 'label': '1584.122.22.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.e1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.e1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 76828193
    {'ambient': '1584.122', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '792.a1.a1', 'complements': ['792.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.e1.a1', '6.d1.a1', '22.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1303, 3558, 1475, 7598, 1388, 4055, 919, 4461], 'generators': [1, 1056, 4, 1408, 974, 144], 'label': '1584.122.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.a1', '4.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '792.40'}
  • id: 76828194
    {'ambient': '1584.122', 'aut_centralizer_order': 20, 'aut_label': '22.f1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '216.111', 'aut_weyl_index': 220, 'centralizer': '396.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '11.a1.a1'], 'contains': ['44.b1.a1', '44.e1.a1', '44.f1.a1', '66.f1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3468, -1, 4160, -1, 4144, -1, 2790, -1], 'generators': [73, 1056, 2, 4, 1408], 'label': '1584.122.22.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.f1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.f1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 76828195
    {'ambient': '1584.122', 'aut_centralizer_order': 20, 'aut_label': '22.g1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '216.111', 'aut_weyl_index': 220, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '11.a1.a1'], 'contains': ['44.c1.a1', '44.f1.a1', '44.g1.a1', '66.g1.a1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4089, -1, 2427, -1, 2583, -1, 3506, -1], 'generators': [73, 1056, 974, 4, 1408], 'label': '1584.122.22.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.g1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.g1.a1', 'subgroup_fusion': None, 'weyl_group': '72.17'}
  • id: 76828196
    {'ambient': '1584.122', 'aut_centralizer_order': 2376, 'aut_label': '24.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2376, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1', '12.d1.a1', '12.e1.a1', '12.f1.a1', '12.g1.a1'], 'contains': ['48.a1.a1', '72.a1.a1', '264.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5400, 6110, 5575, 6074, 5126, 6055, 5154, 5357], 'generators': [4, 144, 1056], 'label': '1584.122.24.a1.a1', 'mobius_quo': -1, 'mobius_sub': 24, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '72.a1.a1', '264.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828197
    {'ambient': '1584.122', 'aut_centralizer_order': 1188, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2376, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1'], 'contains': ['48.a1.a1', '72.b1.a1', '264.b1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2345, -1, 4995, -1, 3521, -1, 3940, -1], 'generators': [792, 144, 1056], 'label': '1584.122.24.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '24.b1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828198
    {'ambient': '1584.122', 'aut_centralizer_order': 108, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 216, 'centralizer': '88.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.b1.a1'], 'contains': ['48.a1.a1', '72.c1.a1', '264.c1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2687, -1, 2493, -1, 3815, -1, 3439, -1], 'generators': [1, 144, 1056], 'label': '1584.122.24.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '24.c1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828199
    {'ambient': '1584.122', 'aut_centralizer_order': 12, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '660.15', 'aut_weyl_index': 72, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.d1.a1'], 'contains': ['48.a1.a1', '72.d1.a1', '264.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2103, -1, 778, -1, 3313, -1, 3733, -1], 'generators': [251, 144, 1056], 'label': '1584.122.24.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '24.d1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '132.5'}
  • id: 76828200
    {'ambient': '1584.122', 'aut_centralizer_order': 30, 'aut_label': '33.a1', 'aut_quo_index': None, 'aut_stab_index': 33, 'aut_weyl_group': '48.51', 'aut_weyl_index': 990, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.a1'], 'contains': ['66.a1.a1', '66.b1.a1', '66.c1.a1', '66.d1.a1', '66.e1.a1', '66.f1.a1', '66.g1.a1', '99.a1.a1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [5740, -1, 5661, -1, 5875, -1, 5837, -1], 'generators': [1, 1056, 2, 792, 4], 'label': '1584.122.33.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '33.a1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 76828201
    {'ambient': '1584.122', 'aut_centralizer_order': 2376, 'aut_label': '36.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2376, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '18.a1.a1', '18.b1.a1', '18.c1.a1'], 'contains': ['72.a1.a1', '72.b1.a1', '396.a1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8184, 7211, 8491, 7189, 6433, 6891, 6657, 8409], 'generators': [4, 144, 792], 'label': '1584.122.36.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.a1.a1', 'normal_contained_in': ['12.a1.a1', '18.a1.a1'], 'normal_contains': ['72.a1.a1', '396.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.1', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828202
    {'ambient': '1584.122', 'aut_centralizer_order': 216, 'aut_label': '36.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '220.7', 'aut_weyl_index': 216, 'centralizer': '44.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '18.a1.a1', '18.d1.a1', '18.e1.a1'], 'contains': ['72.a1.a1', '72.c1.a1', '396.b1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7691, 9153, 7833, 9154, 6727, 7728, 5990, 7591], 'generators': [1, 144, 4], 'label': '1584.122.36.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.b1.a1', 'normal_contained_in': ['12.b1.a1', '18.a1.a1'], 'normal_contains': ['72.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.b1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.b1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828203
    {'ambient': '1584.122', 'aut_centralizer_order': 216, 'aut_label': '36.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '220.7', 'aut_weyl_index': 216, 'centralizer': '44.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '18.a1.a1', '18.f1.a1', '18.g1.a1'], 'contains': ['72.a1.a1', '396.f1.a1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9397, 8329, 9522, 8320, 8595, 8419, 8154, 6916], 'generators': [73, 144, 4], 'label': '1584.122.36.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.c1.a1', 'normal_contained_in': ['12.c1.a1', '18.a1.a1'], 'normal_contains': ['72.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.c1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.c1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828204
    {'ambient': '1584.122', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '792.a1.a1', 'complements': ['792.b1.a1', '792.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.d1.a1', '4.g1.a1', '6.e1.a1', '22.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3227, 6688, 2154, 3741, 2525, 5888, 3863, 571], 'generators': [1, 1056, 4, 1408, 2, 144], 'label': '1584.122.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.d1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '792.40'}
  • id: 76828205
    {'ambient': '1584.122', 'aut_centralizer_order': 24, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '220.7', 'aut_weyl_index': 216, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '18.b1.a1', '18.d1.a1', '18.f1.a1'], 'contains': ['72.a1.a1', '72.d1.a1', '396.c1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7343, -1, 6777, -1, 5968, -1, 6365, -1], 'generators': [251, 144, 4], 'label': '1584.122.36.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.d1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.d1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828206
    {'ambient': '1584.122', 'aut_centralizer_order': 264, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2376, 'centralizer': '18.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '18.c1.a1', '18.e1.a1', '18.f1.a1'], 'contains': ['72.a1.a1', '396.d1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8767, -1, 9251, -1, 9155, -1, 8876, -1], 'generators': [2, 4, 144], 'label': '1584.122.36.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.e1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828207
    {'ambient': '1584.122', 'aut_centralizer_order': 264, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2376, 'centralizer': '18.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '18.c1.a1', '18.d1.a1', '18.g1.a1'], 'contains': ['72.a1.a1', '396.e1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7083, -1, 8065, -1, 8035, -1, 7598, -1], 'generators': [974, 4, 144], 'label': '1584.122.36.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.f1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828208
    {'ambient': '1584.122', 'aut_centralizer_order': 24, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '220.7', 'aut_weyl_index': 216, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '18.b1.a1', '18.e1.a1', '18.g1.a1'], 'contains': ['72.a1.a1', '396.g1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9894, -1, 7516, -1, 7625, -1, 9117, -1], 'generators': [3, 144, 4], 'label': '1584.122.36.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.g1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 76828209
    {'ambient': '1584.122', 'aut_centralizer_order': 3960, 'aut_label': '44.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 3960, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.a1.a1', '22.b1.a1', '22.c1.a1'], 'contains': ['88.a1.a1', '88.b1.a1', '132.a1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [972, 3162, 2953, 2770, 1295, 3982, 1734, 5019], 'generators': [4, 792, 1408, 1056], 'label': '1584.122.44.a1.a1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.a1.a1', 'normal_contained_in': ['4.a1.a1', '22.a1.a1'], 'normal_contains': ['88.a1.a1', '132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '44.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '4.2', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '44.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828210
    {'ambient': '1584.122', 'aut_centralizer_order': 440, 'aut_label': '44.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '108.26', 'aut_weyl_index': 440, 'centralizer': '18.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '22.a1.a1', '22.e1.a1', '22.f1.a1'], 'contains': ['88.a1.a1', '132.d1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3118, 2147, 4168, 1416, 2837, 1690, 2675, 2955], 'generators': [2, 4, 1408, 1056], 'label': '1584.122.44.b1.a1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.b1.a1', 'normal_contained_in': ['4.d1.a1', '22.a1.a1'], 'normal_contains': ['88.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '44.b1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.b1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 76828211
    {'ambient': '1584.122', 'aut_centralizer_order': 440, 'aut_label': '44.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '108.26', 'aut_weyl_index': 440, 'centralizer': '36.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '22.a1.a1', '22.d1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '132.e1.a1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [418, 1331, 1972, 501, 2417, 2979, 2031, 4188], 'generators': [974, 4, 1408, 1056], 'label': '1584.122.44.c1.a1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.c1.a1', 'normal_contained_in': ['4.e1.a1', '22.a1.a1'], 'normal_contains': ['88.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '44.c1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.c1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 76828212
    {'ambient': '1584.122', 'aut_centralizer_order': 360, 'aut_label': '44.d1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '12.5', 'aut_weyl_index': 3960, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '22.b1.a1', '22.d1.a1', '22.e1.a1'], 'contains': ['88.a1.a1', '88.c1.a1', '132.b1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [1413, -1, 1337, -1, 1675, -1, 1150, -1], 'generators': [1, 4, 1408, 1056], 'label': '1584.122.44.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.d1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828213
    {'ambient': '1584.122', 'aut_centralizer_order': 40, 'aut_label': '44.e1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '108.26', 'aut_weyl_index': 440, 'centralizer': '396.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '22.c1.a1', '22.d1.a1', '22.f1.a1'], 'contains': ['88.a1.a1', '88.d1.a1', '132.c1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [171, -1, 117, -1, 1001, -1, 1442, -1], 'generators': [251, 4, 1408, 1056], 'label': '1584.122.44.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.e1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.e1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 76828214
    {'ambient': '1584.122', 'aut_centralizer_order': 360, 'aut_label': '44.f1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '12.5', 'aut_weyl_index': 3960, 'centralizer': '44.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '22.b1.a1', '22.f1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '132.f1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4214, -1, 3835, -1, 2627, -1, 2466, -1], 'generators': [73, 1408, 4, 1056], 'label': '1584.122.44.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.f1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828215
    {'ambient': '1584.122', 'aut_centralizer_order': 2, 'aut_label': '2.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '792.a1.a1', 'complements': ['792.b1.a1', '792.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.d1.a1', '4.f1.a1', '6.f1.a1', '22.f1.a1'], 'core': '2.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3839, 2274, 4399, 6300, 3973, 2979, 2973, 1864], 'generators': [73, 1056, 4, 1408, 2, 144], 'label': '1584.122.2.f1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.d1.a1', '4.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.f1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.f1.a1', 'subgroup_fusion': None, 'weyl_group': '792.40'}
  • id: 76828216
    {'ambient': '1584.122', 'aut_centralizer_order': 40, 'aut_label': '44.g1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '108.26', 'aut_weyl_index': 440, 'centralizer': '396.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '22.c1.a1', '22.e1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '132.g1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3734, -1, 807, -1, 1974, -1, 2888, -1], 'generators': [3, 4, 1408, 1056], 'label': '1584.122.44.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.g1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.g1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
  • id: 76828217
    {'ambient': '1584.122', 'aut_centralizer_order': 2376, 'aut_label': '48.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 2376, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1', '24.d1.a1'], 'contains': ['144.a1.a1', '528.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2274, 6007, 2295, 5970, 3815, 5802, 3940, 5097], 'generators': [1056, 144], 'label': '1584.122.48.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1'], 'normal_contains': ['144.a1.a1', '528.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '1584.122', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828218
    {'ambient': '1584.122', 'aut_centralizer_order': 540, 'aut_label': '66.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '8.5', 'aut_weyl_index': 5940, 'centralizer': '88.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '22.b1.a1', '33.a1.a1'], 'contains': ['132.a1.a1', '132.b1.a1', '132.f1.a1', '198.a1.a1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5679, -1, 4927, -1, 4510, -1, 4331, -1], 'generators': [1, 792, 1056, 4], 'label': '1584.122.66.a1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '66.a1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 76828219
    {'ambient': '1584.122', 'aut_centralizer_order': 60, 'aut_label': '66.b1', 'aut_quo_index': None, 'aut_stab_index': 33, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1980, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '22.c1.a1', '33.a1.a1'], 'contains': ['132.a1.a1', '132.c1.a1', '132.g1.a1', '198.b1.a1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [4814, -1, 2883, -1, 3262, -1, 4597, -1], 'generators': [3, 792, 4, 1056], 'label': '1584.122.66.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '66.b1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 76828220
    {'ambient': '1584.122', 'aut_centralizer_order': 660, 'aut_label': '66.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1980, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '22.a1.a1', '33.a1.a1'], 'contains': ['132.a1.a1', '132.d1.a1', '132.e1.a1', '198.c1.a1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3612, -1, 6293, -1, 6199, -1, 4899, -1], 'generators': [2, 792, 4, 1056], 'label': '1584.122.66.c1.a1', 'mobius_quo': None, 'mobius_sub': -11, 'normal_closure': '22.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '66.c1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 76828221
    {'ambient': '1584.122', 'aut_centralizer_order': 60, 'aut_label': '66.d1', 'aut_quo_index': None, 'aut_stab_index': 33, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1980, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '22.d1.a1', '33.a1.a1'], 'contains': ['132.b1.a1', '132.c1.a1', '132.e1.a1', '198.d1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [2719, -1, 3811, -1, 4242, -1, 3481, -1], 'generators': [1, 974, 4, 1056], 'label': '1584.122.66.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '66.d1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 76828222
    {'ambient': '1584.122', 'aut_centralizer_order': 60, 'aut_label': '66.e1', 'aut_quo_index': None, 'aut_stab_index': 33, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1980, 'centralizer': '396.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '22.e1.a1', '33.a1.a1'], 'contains': ['132.b1.a1', '132.d1.a1', '132.g1.a1', '198.e1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [5267, -1, 5663, -1, 4865, -1, 6713, -1], 'generators': [1, 2, 4, 1056], 'label': '1584.122.66.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '66.e1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 76828223
    {'ambient': '1584.122', 'aut_centralizer_order': 60, 'aut_label': '66.f1', 'aut_quo_index': None, 'aut_stab_index': 33, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1980, 'centralizer': '396.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '22.f1.a1', '33.a1.a1'], 'contains': ['132.c1.a1', '132.d1.a1', '132.f1.a1', '198.f1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [6258, -1, 6884, -1, 7004, -1, 5698, -1], 'generators': [73, 2, 4, 1056], 'label': '1584.122.66.f1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '66.f1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 76828224
    {'ambient': '1584.122', 'aut_centralizer_order': 60, 'aut_label': '66.g1', 'aut_quo_index': None, 'aut_stab_index': 33, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1980, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.a1', '22.g1.a1', '33.a1.a1'], 'contains': ['132.e1.a1', '132.f1.a1', '132.g1.a1', '198.g1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [6876, -1, 5326, -1, 5446, -1, 6412, -1], 'generators': [73, 974, 4, 1056], 'label': '1584.122.66.g1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '66.g1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.g1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 76828225
    {'ambient': '1584.122', 'aut_centralizer_order': 4752, 'aut_label': '72.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 4752, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '36.a1.a1', '36.b1.a1', '36.c1.a1', '36.d1.a1', '36.e1.a1', '36.f1.a1', '36.g1.a1'], 'contains': ['144.a1.a1', '792.a1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8132, 7361, 8247, 7341, 7093, 6931, 7021, 6136], 'generators': [4, 144], 'label': '1584.122.72.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '72.a1.a1', 'normal_contained_in': ['24.a1.a1', '36.a1.a1', '36.b1.a1', '36.c1.a1'], 'normal_contains': ['144.a1.a1', '792.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.4', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828226
    {'ambient': '1584.122', 'aut_centralizer_order': 2, 'aut_label': '2.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '792.a1.a1', 'complements': ['792.b1.a1', '792.c1.a1', '792.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.e1.a1', '4.f1.a1', '4.g1.a1', '6.g1.a1', '22.g1.a1'], 'core': '2.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4318, 5444, 2752, 2482, 2907, 6931, 3448, 3688], 'generators': [73, 1056, 4, 1408, 974, 144], 'label': '1584.122.2.g1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.e1.a1', '4.f1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.g1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.g1.a1', 'subgroup_fusion': None, 'weyl_group': '792.40'}
  • id: 76828227
    {'ambient': '1584.122', 'aut_centralizer_order': 2376, 'aut_label': '72.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '10.2', 'aut_weyl_index': 4752, 'centralizer': '2.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '36.a1.a1'], 'contains': ['144.a1.a1', '792.b1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5232, -1, 7370, -1, 5548, -1, 5809, -1], 'generators': [792, 144], 'label': '1584.122.72.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '72.b1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76828228
    {'ambient': '1584.122', 'aut_centralizer_order': 216, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '110.1', 'aut_weyl_index': 432, 'centralizer': '44.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '36.b1.a1'], 'contains': ['144.a1.a1', '792.c1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4991, -1, 5063, -1, 5786, -1, 5304, -1], 'generators': [1, 144], 'label': '1584.122.72.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '72.c1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.c1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 76828229
    {'ambient': '1584.122', 'aut_centralizer_order': 24, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '110.1', 'aut_weyl_index': 432, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '36.d1.a1'], 'contains': ['144.a1.a1', '792.d1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4643, -1, 3346, -1, 5278, -1, 5573, -1], 'generators': [251, 144], 'label': '1584.122.72.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.f1.a1', 'old_label': '72.d1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.d1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 76828230
    {'ambient': '1584.122', 'aut_centralizer_order': 7920, 'aut_label': '88.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 7920, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.a1.a1', '44.b1.a1', '44.c1.a1', '44.d1.a1', '44.e1.a1', '44.f1.a1', '44.g1.a1'], 'contains': ['176.a1.a1', '264.a1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1417, 3439, 1587, 3075, 2084, 3982, 2142, 4383], 'generators': [4, 1408, 1056], 'label': '1584.122.88.a1.a1', 'mobius_quo': 0, 'mobius_sub': 88, 'normal_closure': '88.a1.a1', 'normal_contained_in': ['8.a1.a1', '44.a1.a1', '44.b1.a1', '44.c1.a1'], 'normal_contains': ['176.a1.a1', '264.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '88.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '2.1', 'quotient_action_kernel': '44.3', 'quotient_action_kernel_order': 44, 'quotient_fusion': None, 'short_label': '88.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828231
    {'ambient': '1584.122', 'aut_centralizer_order': 3960, 'aut_label': '88.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 7920, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '44.a1.a1'], 'contains': ['176.a1.a1', '264.b1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [616, -1, 2407, -1, 1281, -1, 1806, -1], 'generators': [792, 1408, 1056], 'label': '1584.122.88.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '88.b1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828232
    {'ambient': '1584.122', 'aut_centralizer_order': 360, 'aut_label': '88.c1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '6.2', 'aut_weyl_index': 7920, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '44.d1.a1'], 'contains': ['176.a1.a1', '264.c1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [925, -1, 952, -1, 1691, -1, 1178, -1], 'generators': [1, 1408, 1056], 'label': '1584.122.88.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.e1.a1', 'old_label': '88.c1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828233
    {'ambient': '1584.122', 'aut_centralizer_order': 40, 'aut_label': '88.d1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '54.6', 'aut_weyl_index': 880, 'centralizer': '396.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '44.e1.a1'], 'contains': ['176.a1.a1', '264.d1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [74, -1, 70, -1, 1041, -1, 1417, -1], 'generators': [251, 1408, 1056], 'label': '1584.122.88.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.f1.a1', 'old_label': '88.d1.a1', 'projective_image': '1584.122', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.d1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}
  • id: 76828234
    {'ambient': '1584.122', 'aut_centralizer_order': 60, 'aut_label': '99.a1', 'aut_quo_index': None, 'aut_stab_index': 99, 'aut_weyl_group': '8.5', 'aut_weyl_index': 5940, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.a1'], 'contains': ['198.a1.a1', '198.b1.a1', '198.c1.a1', '198.d1.a1', '198.e1.a1', '198.f1.a1', '198.g1.a1'], 'core': '396.a1.a1', 'coset_action_label': None, 'count': 99, 'diagramx': [8798, -1, 7930, -1, 8488, -1, 8497, -1], 'generators': [1, 2, 792], 'label': '1584.122.99.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '99.a1.a1', 'old_label': '99.a1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '99.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828235
    {'ambient': '1584.122', 'aut_centralizer_order': 11880, 'aut_label': '132.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 11880, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '44.a1.a1', '66.a1.a1', '66.b1.a1', '66.c1.a1'], 'contains': ['264.a1.a1', '264.b1.a1', '396.a1.a1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4087, 4960, 4537, 4887, 4333, 5310, 4681, 6084], 'generators': [4, 792, 1056], 'label': '1584.122.132.a1.a1', 'mobius_quo': 0, 'mobius_sub': 66, 'normal_closure': '132.a1.a1', 'normal_contained_in': ['12.a1.a1', '44.a1.a1'], 'normal_contains': ['264.a1.a1', '396.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '132.a1.a1', 'projective_image': '792.40', 'quotient_action_image': '4.2', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '132.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828236
    {'ambient': '1584.122', 'aut_centralizer_order': 1080, 'aut_label': '132.b1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '4.2', 'aut_weyl_index': 11880, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '44.d1.a1', '66.a1.a1', '66.d1.a1', '66.e1.a1'], 'contains': ['264.a1.a1', '264.c1.a1', '396.b1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3438, -1, 3676, -1, 4650, -1, 4199, -1], 'generators': [1, 4, 1056], 'label': '1584.122.132.b1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '132.b1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828237
    {'ambient': '1584.122', 'aut_centralizer_order': 3, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 9, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1', '6.e1.a1', '6.f1.a1', '6.g1.a1', '9.a1.a1', '33.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6757, -1, 6264, -1, 6041, -1, 6001, -1], 'generators': [1, 144, 792, 4, 2, 1056], 'label': '1584.122.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '264.34'}
  • id: 76828238
    {'ambient': '1584.122', 'aut_centralizer_order': 120, 'aut_label': '132.c1', 'aut_quo_index': None, 'aut_stab_index': 33, 'aut_weyl_group': '12.4', 'aut_weyl_index': 3960, 'centralizer': '396.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '44.e1.a1', '66.b1.a1', '66.d1.a1', '66.f1.a1'], 'contains': ['264.a1.a1', '264.d1.a1', '396.c1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [2844, -1, 2638, -1, 4090, -1, 4440, -1], 'generators': [251, 4, 1056], 'label': '1584.122.132.c1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '132.c1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 76828239
    {'ambient': '1584.122', 'aut_centralizer_order': 1320, 'aut_label': '132.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '12.4', 'aut_weyl_index': 3960, 'centralizer': '18.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '44.b1.a1', '66.c1.a1', '66.e1.a1', '66.f1.a1'], 'contains': ['264.a1.a1', '396.d1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5506, -1, 6744, -1, 5756, -1, 5566, -1], 'generators': [2, 4, 1056], 'label': '1584.122.132.d1.a1', 'mobius_quo': None, 'mobius_sub': 22, 'normal_closure': '44.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '132.d1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.d1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 76828240
    {'ambient': '1584.122', 'aut_centralizer_order': 1320, 'aut_label': '132.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '12.4', 'aut_weyl_index': 3960, 'centralizer': '36.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '44.c1.a1', '66.c1.a1', '66.d1.a1', '66.g1.a1'], 'contains': ['264.a1.a1', '396.e1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2511, -1, 5554, -1, 5336, -1, 4945, -1], 'generators': [974, 4, 1056], 'label': '1584.122.132.e1.a1', 'mobius_quo': None, 'mobius_sub': 22, 'normal_closure': '44.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '132.e1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 76828241
    {'ambient': '1584.122', 'aut_centralizer_order': 1080, 'aut_label': '132.f1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '4.2', 'aut_weyl_index': 11880, 'centralizer': '44.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '44.f1.a1', '66.a1.a1', '66.f1.a1', '66.g1.a1'], 'contains': ['264.a1.a1', '396.f1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6847, -1, 6049, -1, 5546, -1, 5357, -1], 'generators': [73, 1056, 4], 'label': '1584.122.132.f1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '132.f1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828242
    {'ambient': '1584.122', 'aut_centralizer_order': 120, 'aut_label': '132.g1', 'aut_quo_index': None, 'aut_stab_index': 33, 'aut_weyl_group': '12.4', 'aut_weyl_index': 3960, 'centralizer': '396.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '44.g1.a1', '66.b1.a1', '66.e1.a1', '66.g1.a1'], 'contains': ['264.a1.a1', '396.g1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [6228, -1, 3379, -1, 4916, -1, 5779, -1], 'generators': [3, 4, 1056], 'label': '1584.122.132.g1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '132.g1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.g1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 76828243
    {'ambient': '1584.122', 'aut_centralizer_order': 4752, 'aut_label': '144.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 4752, 'centralizer': '2.c1.a1', 'complements': ['11.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '72.a1.a1', '72.b1.a1', '72.c1.a1', '72.d1.a1'], 'contains': ['1584.a1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4985, 7306, 4813, 7285, 5616, 6719, 5640, 5617], 'generators': [144], 'label': '1584.122.144.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '144.a1.a1', 'normal_contained_in': ['48.a1.a1', '72.a1.a1'], 'normal_contains': ['1584.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.a1.a1', 'projective_image': '1584.122', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.7', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828244
    {'ambient': '1584.122', 'aut_centralizer_order': 7920, 'aut_label': '176.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 7920, 'centralizer': '2.a1.a1', 'complements': ['9.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '88.a1.a1', '88.b1.a1', '88.c1.a1', '88.d1.a1'], 'contains': ['528.a1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [401, 4136, 1397, 4054, 1589, 4567, 1704, 4383], 'generators': [1408], 'label': '1584.122.176.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '176.a1.a1', 'normal_contained_in': ['16.a1.a1', '88.a1.a1'], 'normal_contains': ['528.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '176.a1.a1', 'projective_image': '1584.122', 'quotient_action_image': '2.1', 'quotient_action_kernel': '88.7', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '176.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76828245
    {'ambient': '1584.122', 'aut_centralizer_order': 1080, 'aut_label': '198.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '4.2', 'aut_weyl_index': 11880, 'centralizer': '44.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '66.a1.a1', '99.a1.a1'], 'contains': ['396.a1.a1', '396.b1.a1', '396.f1.a1'], 'core': '396.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8580, -1, 7930, -1, 7084, -1, 6930, -1], 'generators': [1, 792], 'label': '1584.122.198.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '198.a1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '198.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828246
    {'ambient': '1584.122', 'aut_centralizer_order': 120, 'aut_label': '198.b1', 'aut_quo_index': None, 'aut_stab_index': 99, 'aut_weyl_group': '4.2', 'aut_weyl_index': 11880, 'centralizer': '396.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.a1', '66.b1.a1', '99.a1.a1'], 'contains': ['396.a1.a1', '396.c1.a1', '396.g1.a1'], 'core': '396.a1.a1', 'coset_action_label': None, 'count': 99, 'diagramx': [8233, -1, 6477, -1, 6157, -1, 7097, -1], 'generators': [3, 792], 'label': '1584.122.198.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '99.a1.a1', 'old_label': '198.b1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '198.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76828247
    {'ambient': '1584.122', 'aut_centralizer_order': 1320, 'aut_label': '198.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 11880, 'centralizer': '18.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.c1.a1', '66.c1.a1', '99.a1.a1'], 'contains': ['396.a1.a1', '396.d1.a1', '396.e1.a1'], 'core': '396.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7289, -1, 8663, -1, 8297, -1, 7338, -1], 'generators': [2, 792], 'label': '1584.122.198.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '198.c1.a1', 'projective_image': '792.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '198.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}