Abstract group data - 1248.1435

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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': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '96.220', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 1092, 'aut_gen_orders': [13, 12, 2, 2, 2, 2], 'aut_gens': [[1, 2, 4, 48], [1, 2, 1156, 48], [1, 2, 4, 528], [625, 626, 631, 1200], [627, 2, 628, 1200], [2, 1, 629, 1203], [1, 2, 7, 1200]], 'aut_group': '209664.a', 'aut_hash': 6134605357576275286, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 209664, 'aut_permdeg': 117, 'aut_perms': [3388402012685749573674661001637044634840092080599305908367206611575422424853227434594894304153174171788650876658218446365770517368840876618588016381919121236185162964763011210502749509266293760, 548135081950646903234316720846790204069965288099802750899939542612433693133554218327250585452793651458808854528610787923788313832410169051145307971582442311088369640910215457425784329789574704, 3668702023879932917845845222307882438001400944079159918011854145646824947403464227216450578739075912549047619288572460818851485298587408404360001218319647635644645958249523019801293041615320524, 913558572309957616722872952351477153710672901430132237590315540618100230098416215529007454123729866532377859146646303205628496632756711640969870069796259648978690055151680212929751838658926682, 920576454115361560963263241155810005734572288713508779694201730618898400247220080870743155888944765712299373135514794680346434113295460238075518244952569300545237719335820524611493349218852550, 3695909076899843819725498970870368241171169451196713126483576747382481128603103357826931720338810124048829722159218726325571667025662525355152497111624894544396839165047960622004368595342866911], 'aut_phi_ratio': 546.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 7, 1], [2, 13, 1, 1], [2, 13, 7, 1], [3, 13, 1, 2], [4, 13, 8, 2], [6, 13, 1, 2], [6, 13, 7, 4], [12, 13, 8, 4], [13, 12, 1, 1], [26, 12, 7, 1]], 'aut_supersolvable': False, 'aut_tex': 'F_{13}\\times C_2^3:\\GL(3,2)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 84, 'autcent_group': '1344.11686', 'autcent_hash': 11686, 'autcent_nilpotent': False, 'autcent_order': 1344, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^3:\\GL(3,2)', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 156, 'autcentquo_group': '156.7', 'autcentquo_hash': 7, 'autcentquo_nilpotent': False, 'autcentquo_order': 156, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{13}', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 13, 8], [3, 13, 2], [4, 13, 16], [6, 13, 30], [12, 13, 32], [13, 12, 1], [26, 12, 7]], 'center_label': '8.5', 'center_order': 8, 'central_product': True, 'central_quotient': '156.7', 'commutator_count': 1, 'commutator_label': '13.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '13.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1435, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['156.7', 1], ['2.1', 3]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 13, 1, 8], [3, 13, 2, 1], [4, 13, 2, 8], [6, 13, 2, 15], [12, 13, 4, 8], [13, 12, 1, 1], [26, 12, 1, 7]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3513600, 'exponent': 156, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 3, 7, 13], 'factors_of_order': [2, 3, 13], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1248.1435', 'hash': 1435, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 156, 'inner_gen_orders': [1, 1, 12, 13], 'inner_gens': [[1, 2, 4, 48], [1, 2, 4, 48], [1, 2, 4, 912], [1, 2, 388, 48]], 'inner_hash': 7, 'inner_nilpotent': False, 'inner_order': 156, 'inner_split': True, 'inner_tex': 'F_{13}', 'inner_used': [3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 96], [12, 8]], 'label': '1248.1435', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C2^3*F13', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 20, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 104, 'number_divisions': 56, 'number_normal_subgroups': 252, 'number_subgroup_autclasses': 60, 'number_subgroup_classes': 472, 'number_subgroups': 3112, 'old_label': None, 'order': 1248, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 111], [3, 26], [4, 208], [6, 390], [12, 416], [13, 12], [26, 84]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 84, 'outer_gen_orders': [4, 4], 'outer_gen_pows': [0, 0], 'outer_gens': [[627, 626, 631, 1200], [625, 626, 628, 51]], 'outer_group': '1344.11686', 'outer_hash': 11686, 'outer_nilpotent': False, 'outer_order': 1344, 'outer_permdeg': 8, 'outer_perms': [27437, 2042], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_2^3:\\GL(3,2)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 19, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 4, 3], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 24], [4, 8], [12, 8]], 'representations': {'PC': {'code': 226495485577522386618808078853145150161051, 'gens': [1, 2, 3, 6], 'pres': [7, -2, -2, -2, -2, -3, -2, -13, 58, 80, 9595, 5822, 1167, 124, 7076, 5907, 2680]}, 'GLZN': {'d': 2, 'p': 39, 'gens': [1483000, 59344, 59437, 59327, 59335, 2254147, 830480]}, 'Perm': {'d': 19, 'gens': [401725244471167, 1, 288, 126, 802080636058800, 1179541926264240, 7959820755000240]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 12], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^3\\times F_{13}', 'transitive_degree': 104, '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: 113989859
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 1435, 'group_order': 1248, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 113989875
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 1435, 'group_order': 1248, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 624, 'size': 1}
  • id: 113989886
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 1435, 'group_order': 1248, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 2, 'size': 1}
  • id: 113989897
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 1435, 'group_order': 1248, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 1, 'size': 1}
  • id: 113989908
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 1435, 'group_order': 1248, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 626, 'size': 1}
  • id: 113989919
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 1435, 'group_order': 1248, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 625, 'size': 1}
  • id: 113989930
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 1435, 'group_order': 1248, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 3, 'size': 1}
  • id: 113989941
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 1435, 'group_order': 1248, 'label': '2G', 'order': 2, 'powers': [1, 8, 8], 'representative': 627, 'size': 1}
  • id: 113989952
    {'aut_label': '2H', 'centralizer': '13.a1', 'counter': 9, 'group_counter': 1435, 'group_order': 1248, 'label': '2H', 'order': 2, 'powers': [1, 9, 9], 'representative': 360, 'size': 13}
  • id: 113989860
    {'aut_label': '2H', 'centralizer': '13.a1', 'counter': 10, 'group_counter': 1435, 'group_order': 1248, 'label': '2I', 'order': 2, 'powers': [1, 10, 10], 'representative': 26, 'size': 13}
  • id: 113989866
    {'aut_label': '2H', 'centralizer': '13.a1', 'counter': 11, 'group_counter': 1435, 'group_order': 1248, 'label': '2J', 'order': 2, 'powers': [1, 11, 11], 'representative': 25, 'size': 13}
  • id: 113989867
    {'aut_label': '2H', 'centralizer': '13.a1', 'counter': 12, 'group_counter': 1435, 'group_order': 1248, 'label': '2K', 'order': 2, 'powers': [1, 12, 12], 'representative': 362, 'size': 13}
  • id: 113989868
    {'aut_label': '2H', 'centralizer': '13.a1', 'counter': 13, 'group_counter': 1435, 'group_order': 1248, 'label': '2L', 'order': 2, 'powers': [1, 13, 13], 'representative': 361, 'size': 13}
  • id: 113989869
    {'aut_label': '2H', 'centralizer': '13.a1', 'counter': 14, 'group_counter': 1435, 'group_order': 1248, 'label': '2M', 'order': 2, 'powers': [1, 14, 14], 'representative': 27, 'size': 13}
  • id: 113989870
    {'aut_label': '2H', 'centralizer': '13.a1', 'counter': 15, 'group_counter': 1435, 'group_order': 1248, 'label': '2N', 'order': 2, 'powers': [1, 15, 15], 'representative': 363, 'size': 13}
  • id: 113989871
    {'aut_label': '2O', 'centralizer': '13.a1', 'counter': 16, 'group_counter': 1435, 'group_order': 1248, 'label': '2O', 'order': 2, 'powers': [1, 16, 16], 'representative': 24, 'size': 13}
  • id: 113989872
    {'aut_label': '3A1', 'centralizer': '13.a1', 'counter': 17, 'group_counter': 1435, 'group_order': 1248, 'label': '3A1', 'order': 3, 'powers': [18, 1, 17], 'representative': 512, 'size': 13}
  • id: 113989873
    {'aut_label': '3A-1', 'centralizer': '13.a1', 'counter': 18, 'group_counter': 1435, 'group_order': 1248, 'label': '3A-1', 'order': 3, 'powers': [17, 1, 18], 'representative': 688, 'size': 13}
  • id: 113989874
    {'aut_label': '4A1', 'centralizer': '13.a1', 'counter': 19, 'group_counter': 1435, 'group_order': 1248, 'label': '4A1', 'order': 4, 'powers': [16, 20, 19], 'representative': 12, 'size': 13}
  • id: 113989876
    {'aut_label': '4A-1', 'centralizer': '13.a1', 'counter': 20, 'group_counter': 1435, 'group_order': 1248, 'label': '4A-1', 'order': 4, 'powers': [16, 19, 20], 'representative': 36, 'size': 13}
  • id: 113989877
    {'aut_label': '4A1', 'centralizer': '13.a1', 'counter': 21, 'group_counter': 1435, 'group_order': 1248, 'label': '4B1', 'order': 4, 'powers': [16, 22, 21], 'representative': 828, 'size': 13}
  • id: 113989878
    {'aut_label': '4A-1', 'centralizer': '13.a1', 'counter': 22, 'group_counter': 1435, 'group_order': 1248, 'label': '4B-1', 'order': 4, 'powers': [16, 21, 22], 'representative': 948, 'size': 13}
  • id: 113989879
    {'aut_label': '4A1', 'centralizer': '13.a1', 'counter': 23, 'group_counter': 1435, 'group_order': 1248, 'label': '4C1', 'order': 4, 'powers': [16, 24, 23], 'representative': 14, 'size': 13}
  • id: 113989880
    {'aut_label': '4A-1', 'centralizer': '13.a1', 'counter': 24, 'group_counter': 1435, 'group_order': 1248, 'label': '4C-1', 'order': 4, 'powers': [16, 23, 24], 'representative': 38, 'size': 13}
  • id: 113989881
    {'aut_label': '4A1', 'centralizer': '13.a1', 'counter': 25, 'group_counter': 1435, 'group_order': 1248, 'label': '4D1', 'order': 4, 'powers': [16, 26, 25], 'representative': 13, 'size': 13}
  • id: 113989882
    {'aut_label': '4A-1', 'centralizer': '13.a1', 'counter': 26, 'group_counter': 1435, 'group_order': 1248, 'label': '4D-1', 'order': 4, 'powers': [16, 25, 26], 'representative': 37, 'size': 13}
  • id: 113989883
    {'aut_label': '4A1', 'centralizer': '13.a1', 'counter': 27, 'group_counter': 1435, 'group_order': 1248, 'label': '4E1', 'order': 4, 'powers': [16, 28, 27], 'representative': 830, 'size': 13}
  • id: 113989884
    {'aut_label': '4A-1', 'centralizer': '13.a1', 'counter': 28, 'group_counter': 1435, 'group_order': 1248, 'label': '4E-1', 'order': 4, 'powers': [16, 27, 28], 'representative': 950, 'size': 13}
  • id: 113989885
    {'aut_label': '4A1', 'centralizer': '13.a1', 'counter': 29, 'group_counter': 1435, 'group_order': 1248, 'label': '4F1', 'order': 4, 'powers': [16, 30, 29], 'representative': 829, 'size': 13}
  • id: 113989887
    {'aut_label': '4A-1', 'centralizer': '13.a1', 'counter': 30, 'group_counter': 1435, 'group_order': 1248, 'label': '4F-1', 'order': 4, 'powers': [16, 29, 30], 'representative': 949, 'size': 13}
  • id: 113989888
    {'aut_label': '4A1', 'centralizer': '13.a1', 'counter': 31, 'group_counter': 1435, 'group_order': 1248, 'label': '4G1', 'order': 4, 'powers': [16, 32, 31], 'representative': 15, 'size': 13}
  • id: 113989889
    {'aut_label': '4A-1', 'centralizer': '13.a1', 'counter': 32, 'group_counter': 1435, 'group_order': 1248, 'label': '4G-1', 'order': 4, 'powers': [16, 31, 32], 'representative': 39, 'size': 13}
  • id: 113989890
    {'aut_label': '4A1', 'centralizer': '13.a1', 'counter': 33, 'group_counter': 1435, 'group_order': 1248, 'label': '4H1', 'order': 4, 'powers': [16, 34, 33], 'representative': 831, 'size': 13}
  • id: 113989891
    {'aut_label': '4A-1', 'centralizer': '13.a1', 'counter': 34, 'group_counter': 1435, 'group_order': 1248, 'label': '4H-1', 'order': 4, 'powers': [16, 33, 34], 'representative': 951, 'size': 13}
  • id: 113989892
    {'aut_label': '6A1', 'centralizer': '13.a1', 'counter': 35, 'group_counter': 1435, 'group_order': 1248, 'label': '6A1', 'order': 6, 'powers': [17, 2, 35], 'representative': 64, 'size': 13}
  • id: 113989893
    {'aut_label': '6A-1', 'centralizer': '13.a1', 'counter': 36, 'group_counter': 1435, 'group_order': 1248, 'label': '6A-1', 'order': 6, 'powers': [18, 2, 36], 'representative': 80, 'size': 13}
  • id: 113989894
    {'aut_label': '6B1', 'centralizer': '13.a1', 'counter': 37, 'group_counter': 1435, 'group_order': 1248, 'label': '6B1', 'order': 6, 'powers': [18, 9, 37], 'representative': 56, 'size': 13}
  • id: 113989895
    {'aut_label': '6B-1', 'centralizer': '13.a1', 'counter': 38, 'group_counter': 1435, 'group_order': 1248, 'label': '6B-1', 'order': 6, 'powers': [17, 9, 38], 'representative': 88, 'size': 13}
  • id: 113989896
    {'aut_label': '6A1', 'centralizer': '13.a1', 'counter': 39, 'group_counter': 1435, 'group_order': 1248, 'label': '6C1', 'order': 6, 'powers': [17, 3, 39], 'representative': 18, 'size': 13}
  • id: 113989898
    {'aut_label': '6A-1', 'centralizer': '13.a1', 'counter': 40, 'group_counter': 1435, 'group_order': 1248, 'label': '6C-1', 'order': 6, 'powers': [18, 3, 40], 'representative': 34, 'size': 13}
  • id: 113989899
    {'aut_label': '6B1', 'centralizer': '13.a1', 'counter': 41, 'group_counter': 1435, 'group_order': 1248, 'label': '6D1', 'order': 6, 'powers': [18, 10, 41], 'representative': 10, 'size': 13}
  • id: 113989900
    {'aut_label': '6B-1', 'centralizer': '13.a1', 'counter': 42, 'group_counter': 1435, 'group_order': 1248, 'label': '6D-1', 'order': 6, 'powers': [17, 10, 42], 'representative': 42, 'size': 13}
  • id: 113989901
    {'aut_label': '6A1', 'centralizer': '13.a1', 'counter': 43, 'group_counter': 1435, 'group_order': 1248, 'label': '6E1', 'order': 6, 'powers': [17, 4, 43], 'representative': 17, 'size': 13}
  • id: 113989902
    {'aut_label': '6A-1', 'centralizer': '13.a1', 'counter': 44, 'group_counter': 1435, 'group_order': 1248, 'label': '6E-1', 'order': 6, 'powers': [18, 4, 44], 'representative': 33, 'size': 13}
  • id: 113989903
    {'aut_label': '6B1', 'centralizer': '13.a1', 'counter': 45, 'group_counter': 1435, 'group_order': 1248, 'label': '6F1', 'order': 6, 'powers': [18, 11, 45], 'representative': 9, 'size': 13}
  • id: 113989904
    {'aut_label': '6B-1', 'centralizer': '13.a1', 'counter': 46, 'group_counter': 1435, 'group_order': 1248, 'label': '6F-1', 'order': 6, 'powers': [17, 11, 46], 'representative': 41, 'size': 13}
  • id: 113989905
    {'aut_label': '6A1', 'centralizer': '13.a1', 'counter': 47, 'group_counter': 1435, 'group_order': 1248, 'label': '6G1', 'order': 6, 'powers': [17, 5, 47], 'representative': 66, 'size': 13}
  • id: 113989906
    {'aut_label': '6A-1', 'centralizer': '13.a1', 'counter': 48, 'group_counter': 1435, 'group_order': 1248, 'label': '6G-1', 'order': 6, 'powers': [18, 5, 48], 'representative': 82, 'size': 13}
  • id: 113989907
    {'aut_label': '6B1', 'centralizer': '13.a1', 'counter': 49, 'group_counter': 1435, 'group_order': 1248, 'label': '6H1', 'order': 6, 'powers': [18, 12, 49], 'representative': 58, 'size': 13}
  • id: 113989909
    {'aut_label': '6B-1', 'centralizer': '13.a1', 'counter': 50, 'group_counter': 1435, 'group_order': 1248, 'label': '6H-1', 'order': 6, 'powers': [17, 12, 50], 'representative': 90, 'size': 13}
  • id: 113989910
    {'aut_label': '6A1', 'centralizer': '13.a1', 'counter': 51, 'group_counter': 1435, 'group_order': 1248, 'label': '6I1', 'order': 6, 'powers': [17, 6, 51], 'representative': 65, 'size': 13}
  • id: 113989911
    {'aut_label': '6A-1', 'centralizer': '13.a1', 'counter': 52, 'group_counter': 1435, 'group_order': 1248, 'label': '6I-1', 'order': 6, 'powers': [18, 6, 52], 'representative': 81, 'size': 13}
  • id: 113989912
    {'aut_label': '6B1', 'centralizer': '13.a1', 'counter': 53, 'group_counter': 1435, 'group_order': 1248, 'label': '6J1', 'order': 6, 'powers': [18, 13, 53], 'representative': 57, 'size': 13}
  • id: 113989913
    {'aut_label': '6B-1', 'centralizer': '13.a1', 'counter': 54, 'group_counter': 1435, 'group_order': 1248, 'label': '6J-1', 'order': 6, 'powers': [17, 13, 54], 'representative': 89, 'size': 13}
  • id: 113989914
    {'aut_label': '6A1', 'centralizer': '13.a1', 'counter': 55, 'group_counter': 1435, 'group_order': 1248, 'label': '6K1', 'order': 6, 'powers': [17, 7, 55], 'representative': 19, 'size': 13}
  • id: 113989915
    {'aut_label': '6A-1', 'centralizer': '13.a1', 'counter': 56, 'group_counter': 1435, 'group_order': 1248, 'label': '6K-1', 'order': 6, 'powers': [18, 7, 56], 'representative': 35, 'size': 13}
  • id: 113989916
    {'aut_label': '6B1', 'centralizer': '13.a1', 'counter': 57, 'group_counter': 1435, 'group_order': 1248, 'label': '6L1', 'order': 6, 'powers': [18, 14, 57], 'representative': 11, 'size': 13}
  • id: 113989917
    {'aut_label': '6B-1', 'centralizer': '13.a1', 'counter': 58, 'group_counter': 1435, 'group_order': 1248, 'label': '6L-1', 'order': 6, 'powers': [17, 14, 58], 'representative': 43, 'size': 13}
  • id: 113989918
    {'aut_label': '6A1', 'centralizer': '13.a1', 'counter': 59, 'group_counter': 1435, 'group_order': 1248, 'label': '6M1', 'order': 6, 'powers': [17, 8, 59], 'representative': 67, 'size': 13}
  • id: 113989920
    {'aut_label': '6A-1', 'centralizer': '13.a1', 'counter': 60, 'group_counter': 1435, 'group_order': 1248, 'label': '6M-1', 'order': 6, 'powers': [18, 8, 60], 'representative': 83, 'size': 13}
  • id: 113989921
    {'aut_label': '6B1', 'centralizer': '13.a1', 'counter': 61, 'group_counter': 1435, 'group_order': 1248, 'label': '6N1', 'order': 6, 'powers': [18, 15, 61], 'representative': 59, 'size': 13}
  • id: 113989922
    {'aut_label': '6B-1', 'centralizer': '13.a1', 'counter': 62, 'group_counter': 1435, 'group_order': 1248, 'label': '6N-1', 'order': 6, 'powers': [17, 15, 62], 'representative': 91, 'size': 13}
  • id: 113989923
    {'aut_label': '6O1', 'centralizer': '13.a1', 'counter': 63, 'group_counter': 1435, 'group_order': 1248, 'label': '6O1', 'order': 6, 'powers': [18, 16, 63], 'representative': 8, 'size': 13}
  • id: 113989924
    {'aut_label': '6O-1', 'centralizer': '13.a1', 'counter': 64, 'group_counter': 1435, 'group_order': 1248, 'label': '6O-1', 'order': 6, 'powers': [17, 16, 64], 'representative': 40, 'size': 13}
  • id: 113989925
    {'aut_label': '12A1', 'centralizer': '13.a1', 'counter': 65, 'group_counter': 1435, 'group_order': 1248, 'label': '12A1', 'order': 12, 'powers': [63, 19, 65], 'representative': 4, 'size': 13}
  • id: 113989926
    {'aut_label': '12A-1', 'centralizer': '13.a1', 'counter': 66, 'group_counter': 1435, 'group_order': 1248, 'label': '12A-1', 'order': 12, 'powers': [64, 20, 66], 'representative': 44, 'size': 13}
  • id: 113989927
    {'aut_label': '12A5', 'centralizer': '13.a1', 'counter': 67, 'group_counter': 1435, 'group_order': 1248, 'label': '12A5', 'order': 12, 'powers': [64, 19, 67], 'representative': 20, 'size': 13}
  • id: 113989928
    {'aut_label': '12A-5', 'centralizer': '13.a1', 'counter': 68, 'group_counter': 1435, 'group_order': 1248, 'label': '12A-5', 'order': 12, 'powers': [63, 20, 68], 'representative': 28, 'size': 13}
  • id: 113989929
    {'aut_label': '12A1', 'centralizer': '13.a1', 'counter': 69, 'group_counter': 1435, 'group_order': 1248, 'label': '12B1', 'order': 12, 'powers': [63, 21, 69], 'representative': 52, 'size': 13}
  • id: 113989931
    {'aut_label': '12A-1', 'centralizer': '13.a1', 'counter': 70, 'group_counter': 1435, 'group_order': 1248, 'label': '12B-1', 'order': 12, 'powers': [64, 22, 70], 'representative': 92, 'size': 13}
  • id: 113989932
    {'aut_label': '12A5', 'centralizer': '13.a1', 'counter': 71, 'group_counter': 1435, 'group_order': 1248, 'label': '12B5', 'order': 12, 'powers': [64, 21, 71], 'representative': 68, 'size': 13}
  • id: 113989933
    {'aut_label': '12A-5', 'centralizer': '13.a1', 'counter': 72, 'group_counter': 1435, 'group_order': 1248, 'label': '12B-5', 'order': 12, 'powers': [63, 22, 72], 'representative': 76, 'size': 13}
  • id: 113989934
    {'aut_label': '12A1', 'centralizer': '13.a1', 'counter': 73, 'group_counter': 1435, 'group_order': 1248, 'label': '12C1', 'order': 12, 'powers': [63, 23, 73], 'representative': 6, 'size': 13}
  • id: 113989935
    {'aut_label': '12A-1', 'centralizer': '13.a1', 'counter': 74, 'group_counter': 1435, 'group_order': 1248, 'label': '12C-1', 'order': 12, 'powers': [64, 24, 74], 'representative': 46, 'size': 13}
  • id: 113989936
    {'aut_label': '12A5', 'centralizer': '13.a1', 'counter': 75, 'group_counter': 1435, 'group_order': 1248, 'label': '12C5', 'order': 12, 'powers': [64, 23, 75], 'representative': 22, 'size': 13}
  • id: 113989937
    {'aut_label': '12A-5', 'centralizer': '13.a1', 'counter': 76, 'group_counter': 1435, 'group_order': 1248, 'label': '12C-5', 'order': 12, 'powers': [63, 24, 76], 'representative': 30, 'size': 13}
  • id: 113989938
    {'aut_label': '12A1', 'centralizer': '13.a1', 'counter': 77, 'group_counter': 1435, 'group_order': 1248, 'label': '12D1', 'order': 12, 'powers': [63, 25, 77], 'representative': 5, 'size': 13}
  • id: 113989939
    {'aut_label': '12A-1', 'centralizer': '13.a1', 'counter': 78, 'group_counter': 1435, 'group_order': 1248, 'label': '12D-1', 'order': 12, 'powers': [64, 26, 78], 'representative': 45, 'size': 13}
  • id: 113989940
    {'aut_label': '12A5', 'centralizer': '13.a1', 'counter': 79, 'group_counter': 1435, 'group_order': 1248, 'label': '12D5', 'order': 12, 'powers': [64, 25, 79], 'representative': 21, 'size': 13}
  • id: 113989942
    {'aut_label': '12A-5', 'centralizer': '13.a1', 'counter': 80, 'group_counter': 1435, 'group_order': 1248, 'label': '12D-5', 'order': 12, 'powers': [63, 26, 80], 'representative': 29, 'size': 13}
  • id: 113989943
    {'aut_label': '12A1', 'centralizer': '13.a1', 'counter': 81, 'group_counter': 1435, 'group_order': 1248, 'label': '12E1', 'order': 12, 'powers': [63, 27, 81], 'representative': 54, 'size': 13}
  • id: 113989944
    {'aut_label': '12A-1', 'centralizer': '13.a1', 'counter': 82, 'group_counter': 1435, 'group_order': 1248, 'label': '12E-1', 'order': 12, 'powers': [64, 28, 82], 'representative': 94, 'size': 13}
  • id: 113989945
    {'aut_label': '12A5', 'centralizer': '13.a1', 'counter': 83, 'group_counter': 1435, 'group_order': 1248, 'label': '12E5', 'order': 12, 'powers': [64, 27, 83], 'representative': 70, 'size': 13}
  • id: 113989946
    {'aut_label': '12A-5', 'centralizer': '13.a1', 'counter': 84, 'group_counter': 1435, 'group_order': 1248, 'label': '12E-5', 'order': 12, 'powers': [63, 28, 84], 'representative': 78, 'size': 13}
  • id: 113989947
    {'aut_label': '12A1', 'centralizer': '13.a1', 'counter': 85, 'group_counter': 1435, 'group_order': 1248, 'label': '12F1', 'order': 12, 'powers': [63, 29, 85], 'representative': 53, 'size': 13}
  • id: 113989948
    {'aut_label': '12A-1', 'centralizer': '13.a1', 'counter': 86, 'group_counter': 1435, 'group_order': 1248, 'label': '12F-1', 'order': 12, 'powers': [64, 30, 86], 'representative': 93, 'size': 13}
  • id: 113989949
    {'aut_label': '12A5', 'centralizer': '13.a1', 'counter': 87, 'group_counter': 1435, 'group_order': 1248, 'label': '12F5', 'order': 12, 'powers': [64, 29, 87], 'representative': 69, 'size': 13}
  • id: 113989950
    {'aut_label': '12A-5', 'centralizer': '13.a1', 'counter': 88, 'group_counter': 1435, 'group_order': 1248, 'label': '12F-5', 'order': 12, 'powers': [63, 30, 88], 'representative': 77, 'size': 13}
  • id: 113989951
    {'aut_label': '12A1', 'centralizer': '13.a1', 'counter': 89, 'group_counter': 1435, 'group_order': 1248, 'label': '12G1', 'order': 12, 'powers': [63, 31, 89], 'representative': 7, 'size': 13}
  • id: 113989953
    {'aut_label': '12A-1', 'centralizer': '13.a1', 'counter': 90, 'group_counter': 1435, 'group_order': 1248, 'label': '12G-1', 'order': 12, 'powers': [64, 32, 90], 'representative': 47, 'size': 13}
  • id: 113989954
    {'aut_label': '12A5', 'centralizer': '13.a1', 'counter': 91, 'group_counter': 1435, 'group_order': 1248, 'label': '12G5', 'order': 12, 'powers': [64, 31, 91], 'representative': 23, 'size': 13}
  • id: 113989955
    {'aut_label': '12A-5', 'centralizer': '13.a1', 'counter': 92, 'group_counter': 1435, 'group_order': 1248, 'label': '12G-5', 'order': 12, 'powers': [63, 32, 92], 'representative': 31, 'size': 13}
  • id: 113989956
    {'aut_label': '12A1', 'centralizer': '13.a1', 'counter': 93, 'group_counter': 1435, 'group_order': 1248, 'label': '12H1', 'order': 12, 'powers': [63, 33, 93], 'representative': 55, 'size': 13}
  • id: 113989957
    {'aut_label': '12A-1', 'centralizer': '13.a1', 'counter': 94, 'group_counter': 1435, 'group_order': 1248, 'label': '12H-1', 'order': 12, 'powers': [64, 34, 94], 'representative': 95, 'size': 13}
  • id: 113989958
    {'aut_label': '12A5', 'centralizer': '13.a1', 'counter': 95, 'group_counter': 1435, 'group_order': 1248, 'label': '12H5', 'order': 12, 'powers': [64, 33, 95], 'representative': 71, 'size': 13}
  • id: 113989959
    {'aut_label': '12A-5', 'centralizer': '13.a1', 'counter': 96, 'group_counter': 1435, 'group_order': 1248, 'label': '12H-5', 'order': 12, 'powers': [63, 34, 96], 'representative': 79, 'size': 13}
  • id: 113989960
    {'aut_label': '13A', 'centralizer': '12.d1', 'counter': 97, 'group_counter': 1435, 'group_order': 1248, 'label': '13A', 'order': 13, 'powers': [97, 97, 1], 'representative': 96, 'size': 12}
  • id: 113989961
    {'aut_label': '26A', 'centralizer': '12.d1', 'counter': 98, 'group_counter': 1435, 'group_order': 1248, 'label': '26A', 'order': 26, 'powers': [97, 98, 2], 'representative': 48, 'size': 12}
  • id: 113989962
    {'aut_label': '26A', 'centralizer': '12.d1', 'counter': 99, 'group_counter': 1435, 'group_order': 1248, 'label': '26B', 'order': 26, 'powers': [97, 99, 3], 'representative': 98, 'size': 12}
  • id: 113989861
    {'aut_label': '26A', 'centralizer': '12.d1', 'counter': 100, 'group_counter': 1435, 'group_order': 1248, 'label': '26C', 'order': 26, 'powers': [97, 100, 5], 'representative': 50, 'size': 12}
  • id: 113989862
    {'aut_label': '26A', 'centralizer': '12.d1', 'counter': 101, 'group_counter': 1435, 'group_order': 1248, 'label': '26D', 'order': 26, 'powers': [97, 101, 4], 'representative': 97, 'size': 12}
  • id: 113989863
    {'aut_label': '26A', 'centralizer': '12.d1', 'counter': 102, 'group_counter': 1435, 'group_order': 1248, 'label': '26E', 'order': 26, 'powers': [97, 102, 6], 'representative': 49, 'size': 12}
  • id: 113989864
    {'aut_label': '26A', 'centralizer': '12.d1', 'counter': 103, 'group_counter': 1435, 'group_order': 1248, 'label': '26F', 'order': 26, 'powers': [97, 103, 7], 'representative': 99, 'size': 12}
  • id: 113989865
    {'aut_label': '26A', 'centralizer': '12.d1', 'counter': 104, 'group_counter': 1435, 'group_order': 1248, 'label': '26G', 'order': 26, 'powers': [97, 104, 8], 'representative': 51, 'size': 12}
• 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: 5268143
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1a', '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], 'schur_index': 1}
  • id: 5268154
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1b', '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], 'schur_index': 1}
  • id: 5268165
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1c', '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], 'schur_index': 1}
  • id: 5268176
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1d', '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], 'schur_index': 1}
  • id: 5268187
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1e', '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], 'schur_index': 1}
  • id: 5268195
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1f', '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], 'schur_index': 1}
  • id: 5268196
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1g', '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], 'schur_index': 1}
  • id: 5268197
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1h', '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], 'schur_index': 1}
  • id: 5268198
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1i', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5268144
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1j', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 5268145
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1k', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 5268146
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1l', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 5268147
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1m', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 5268148
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1n', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 5268149
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1o', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 5268150
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1p', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5268151
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1q', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 5268152
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1r', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, 2, -2, -2], 'schur_index': 1}
  • id: 5268153
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1s', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, -2, 2, -2], 'schur_index': 1}
  • id: 5268155
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1t', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, 2, -2, -2], 'schur_index': 1}
  • id: 5268156
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1u', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, -2, 2, -2], 'schur_index': 1}
  • id: 5268157
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1v', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, -2, -2, 2], 'schur_index': 1}
  • id: 5268158
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1w', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, 2, 2], 'schur_index': 1}
  • id: 5268159
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1x', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, -2, -2, 2], 'schur_index': 1}
  • id: 5268160
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1y', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 5268161
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1z', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -1, -1, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 2, 2, 2, -2, -2, 2, -2, -2], 'schur_index': 1}
  • id: 5268162
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1aa', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -1, -1, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 2, 2, 2, -2, -2, 2, -2, -2], 'schur_index': 1}
  • id: 5268163
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1ab', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -1, -1, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 2, 2, -2, 2, -2, -2, 2, -2], 'schur_index': 1}
  • id: 5268164
    {'cdim': 1, 'counter': 29, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1ac', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -1, -1, 2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 2, 2, -2, 2, -2, -2, 2, -2], 'schur_index': 1}
  • id: 5268166
    {'cdim': 1, 'counter': 30, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1ad', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -1, -1, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 2, -2, -2, 2, 2, 2, -2, -2], 'schur_index': 1}
  • id: 5268167
    {'cdim': 1, 'counter': 31, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1ae', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -1, -1, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 2, -2, -2, 2, 2, 2, -2, -2], 'schur_index': 1}
  • id: 5268168
    {'cdim': 1, 'counter': 32, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1af', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -1, -1, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 2, -2, 2, -2, 2, -2, 2, -2], 'schur_index': 1}
  • id: 5268169
    {'cdim': 1, 'counter': 33, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1ag', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -1, -1, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 2, -2, 2, -2, 2, -2, 2, -2], 'schur_index': 1}
  • id: 5268170
    {'cdim': 1, 'counter': 34, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1ah', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -1, -1, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 2, -2, 2, 2, -2, -2, -2, 2], 'schur_index': 1}
  • id: 5268171
    {'cdim': 1, 'counter': 35, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1ai', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -1, -1, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 2, -2, 2, 2, -2, -2, -2, 2], 'schur_index': 1}
  • id: 5268172
    {'cdim': 1, 'counter': 36, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1aj', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -1, -1, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 2, -2, -2, -2, -2, 2, 2, 2], 'schur_index': 1}
  • id: 5268173
    {'cdim': 1, 'counter': 37, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1ak', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -1, -1, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 2, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 2, -2, -2, -2, -2, 2, 2, 2], 'schur_index': 1}
  • id: 5268174
    {'cdim': 1, 'counter': 38, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1al', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -1, -1, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 2, 2, -2, -2, 2, -2, -2, 2], 'schur_index': 1}
  • id: 5268175
    {'cdim': 1, 'counter': 39, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1am', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -1, -1, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 2, 2, -2, -2, 2, -2, -2, 2], 'schur_index': 1}
  • id: 5268177
    {'cdim': 1, 'counter': 40, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1an', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 5268178
    {'cdim': 1, 'counter': 41, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1ao', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, -4, 4, 4, 4, -4, -4, -4, 4, -4, 4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, 4, -4, -4], 'schur_index': 1}
  • id: 5268179
    {'cdim': 1, 'counter': 42, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1ap', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, -4, -4, -4, 4, 4, -4, 4, -4, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, -4, -4, 4, -4], 'schur_index': 1}
  • id: 5268180
    {'cdim': 1, 'counter': 43, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1aq', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, 4, -4, 4, -4, 4, -4, -4, -4, 4, 4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, 4, 4, -4, -4], 'schur_index': 1}
  • id: 5268181
    {'cdim': 1, 'counter': 44, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1ar', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, -4, 4, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, -4, 4, -4], 'schur_index': 1}
  • id: 5268182
    {'cdim': 1, 'counter': 45, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1as', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 4, -4, -4, -4, 4, -4, 4, 4, -4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, -4, -4, -4, 4], 'schur_index': 1}
  • id: 5268183
    {'cdim': 1, 'counter': 46, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1at', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, -4, 4, 4, 4, -4, -4, 4, 4, -4, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, -4, 4, 4, 4], 'schur_index': 1}
  • id: 5268184
    {'cdim': 1, 'counter': 47, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1au', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -4, -4, -4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, 4, -4, -4, 4], 'schur_index': 1}
  • id: 5268185
    {'cdim': 1, 'counter': 48, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.1av', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], 'schur_index': 1}
  • id: 5268186
    {'cdim': 12, 'counter': 49, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.12a', 'multiplicity': 1, 'nt': [13, 6], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5268188
    {'cdim': 12, 'counter': 50, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.12b', 'multiplicity': 1, 'nt': [26, 10], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -12, -12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 5268189
    {'cdim': 12, 'counter': 51, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.12c', 'multiplicity': 1, 'nt': [26, 10], 'qdim': 12, 'qvalues': [12, -12, -12, 12, 12, 12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 1, 1, -1, 1], 'schur_index': 1}
  • id: 5268190
    {'cdim': 12, 'counter': 52, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.12d', 'multiplicity': 1, 'nt': [26, 10], 'qdim': 12, 'qvalues': [12, -12, 12, -12, -12, 12, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 5268191
    {'cdim': 12, 'counter': 53, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.12e', 'multiplicity': 1, 'nt': [26, 10], 'qdim': 12, 'qvalues': [12, -12, 12, -12, 12, -12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5268192
    {'cdim': 12, 'counter': 54, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.12f', 'multiplicity': 1, 'nt': [26, 10], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -12, 12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, -1], 'schur_index': 1}
  • id: 5268193
    {'cdim': 12, 'counter': 55, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.12g', 'multiplicity': 1, 'nt': [26, 10], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, -12, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 5268194
    {'cdim': 12, 'counter': 56, 'faithful': False, 'group': '1248.1435', 'group_order': 1248, 'image': None, 'label': '1248.1435.12h', 'multiplicity': 1, 'nt': [26, 10], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, -1], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 10070288
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 1248, 'label': '1248.1435.1a', '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]]]}
  • id: 10070323
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 37, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 208, 'label': '1248.1435.1aa1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 10070324
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 38, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 208, 'label': '1248.1435.1aa2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 10070325
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 39, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 208, 'label': '1248.1435.1ab1', 'nt': [6, 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, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 10070327
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 40, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 208, 'label': '1248.1435.1ab2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 10070328
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 41, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 208, 'label': '1248.1435.1ac1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 10070329
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 42, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 208, 'label': '1248.1435.1ac2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 10070330
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  • id: 10070331
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  • id: 10070332
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  • id: 10070333
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  • id: 10070334
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  • id: 10070335
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  • id: 10070336
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  • id: 10070338
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  • id: 10070339
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  • id: 10070340
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  • id: 10070341
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  • id: 10070342
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  • id: 10070343
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  • id: 10070344
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  • id: 10070345
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  • id: 10070346
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  • id: 10070347
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  • id: 10070349
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  • id: 10070350
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  • id: 10070351
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  • id: 10070352
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  • id: 10070353
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  • id: 10070354
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  • id: 10070355
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  • id: 10070356
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  • id: 10070357
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  • id: 10070358
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  • id: 10070360
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  • id: 10070361
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  • id: 10070362
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  • id: 10070363
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  • id: 10070364
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  • id: 10070365
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  • id: 10070366
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  • id: 10070367
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  • id: 10070368
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  • id: 10070369
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 79, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1ar3', 'nt': [12, 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, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 10070371
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 80, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1ar4', 'nt': [12, 4], '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, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 10070372
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 81, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1as1', 'nt': [12, 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, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070373
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 82, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1as2', 'nt': [12, 4], '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, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070374
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 83, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1as3', 'nt': [12, 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, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070375
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 84, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1as4', 'nt': [12, 4], '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, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070376
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 85, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1at1', 'nt': [12, 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, 2]], [[1, 4]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070377
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 86, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1at2', 'nt': [12, 4], '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, 4]], [[-1, 2]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070378
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 87, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1at3', 'nt': [12, 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, 2]], [[1, 4]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070379
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 88, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1at4', 'nt': [12, 4], '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, 4]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070380
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 89, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1au1', 'nt': [12, 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, 2]], [[1, 4]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070382
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 90, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1au2', 'nt': [12, 4], '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, 4]], [[-1, 2]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070383
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 91, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1au3', 'nt': [12, 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, 2]], [[1, 4]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070384
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 92, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1', 'kernel_order': 104, 'label': '1248.1435.1au4', 'nt': [12, 4], '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, 4]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070385
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 93, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1', 'kernel_order': 104, 'label': '1248.1435.1av1', 'nt': [12, 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, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070386
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 94, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1', 'kernel_order': 104, 'label': '1248.1435.1av2', 'nt': [12, 4], '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, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070387
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 95, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1', 'kernel_order': 104, 'label': '1248.1435.1av3', 'nt': [12, 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, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070388
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 96, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.d1', 'kernel_order': 104, 'label': '1248.1435.1av4', 'nt': [12, 4], '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, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070304
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  • id: 10070315
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 624, 'label': '1248.1435.1c', '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]]]}
  • id: 10070326
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 624, 'label': '1248.1435.1d', '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]]]}
  • id: 10070337
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 624, 'label': '1248.1435.1e', '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]]]}
  • id: 10070348
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 624, 'label': '1248.1435.1f', '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]]]}
  • id: 10070359
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 624, 'label': '1248.1435.1g', '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]]]}
  • id: 10070370
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 624, 'label': '1248.1435.1h', '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]]]}
  • id: 10070381
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 9, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 624, 'label': '1248.1435.1i', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[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: 10070289
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  • id: 10070295
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  • id: 10070296
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 12, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 624, 'label': '1248.1435.1l', '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]]]}
  • id: 10070297
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 13, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 624, 'label': '1248.1435.1m', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[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: 10070298
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 14, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 624, 'label': '1248.1435.1n', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[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: 10070299
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 624, 'label': '1248.1435.1o', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-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: 10070300
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 624, 'label': '1248.1435.1p', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 10070301
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 17, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 416, 'label': '1248.1435.1q1', 'nt': [3, 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, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070302
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 18, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 416, 'label': '1248.1435.1q2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070303
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 19, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 312, 'label': '1248.1435.1r1', 'nt': [4, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 10070305
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  • id: 10070306
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  • id: 10070307
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 22, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 312, 'label': '1248.1435.1s2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 10070308
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 23, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 312, 'label': '1248.1435.1t1', 'nt': [4, 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, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 10070309
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 24, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 312, 'label': '1248.1435.1t2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 10070310
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 25, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 312, 'label': '1248.1435.1u1', 'nt': [4, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 10070311
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 26, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 312, 'label': '1248.1435.1u2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 10070312
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 27, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 312, 'label': '1248.1435.1v1', 'nt': [4, 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, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070313
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 28, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 312, 'label': '1248.1435.1v2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070314
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  • id: 10070316
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 30, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 312, 'label': '1248.1435.1w2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070317
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 31, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 312, 'label': '1248.1435.1x1', 'nt': [4, 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, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070318
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 32, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 312, 'label': '1248.1435.1x2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 10070319
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 33, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1', 'kernel_order': 312, 'label': '1248.1435.1y1', 'nt': [4, 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, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070320
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 34, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1', 'kernel_order': 312, 'label': '1248.1435.1y2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10070321
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 35, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 208, 'label': '1248.1435.1z1', 'nt': [6, 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, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 10070322
    {'center': '1.a1', 'center_index': 1, 'center_order': 1248, 'counter': 36, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 208, 'label': '1248.1435.1z2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 10070389
    {'center': '156.a1', 'center_index': 156, 'center_order': 8, 'counter': 97, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '156.7', 'image_order': 156, 'indicator': 1, 'kernel': '156.a1', 'kernel_order': 8, 'label': '1248.1435.12a', 'nt': [13, 6], 'q_character': None, 'values': [[[12, 0]], [[12, 0]], [[12, 0]], [[12, 0]], [[12, 0]], [[12, 0]], [[12, 0]], [[12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 10070390
    {'center': '156.a1', 'center_index': 156, 'center_order': 8, 'counter': 98, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '312.45', 'image_order': 312, 'indicator': 1, 'kernel': '312.a1', 'kernel_order': 4, 'label': '1248.1435.12b', 'nt': [26, 10], 'q_character': None, 'values': [[[12, 0]], [[-12, 0]], [[-12, 0]], [[12, 0]], [[-12, 0]], [[-12, 0]], [[12, 0]], [[12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 10070391
    {'center': '156.a1', 'center_index': 156, 'center_order': 8, 'counter': 99, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '312.45', 'image_order': 312, 'indicator': 1, 'kernel': '312.a1', 'kernel_order': 4, 'label': '1248.1435.12c', 'nt': [26, 10], 'q_character': None, 'values': [[[12, 0]], [[-12, 0]], [[-12, 0]], [[12, 0]], [[12, 0]], [[12, 0]], [[-12, 0]], [[-12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 10070290
    {'center': '156.a1', 'center_index': 156, 'center_order': 8, 'counter': 100, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '312.45', 'image_order': 312, 'indicator': 1, 'kernel': '312.a1', 'kernel_order': 4, 'label': '1248.1435.12d', 'nt': [26, 10], 'q_character': None, 'values': [[[12, 0]], [[-12, 0]], [[12, 0]], [[-12, 0]], [[-12, 0]], [[12, 0]], [[-12, 0]], [[12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 10070291
    {'center': '156.a1', 'center_index': 156, 'center_order': 8, 'counter': 101, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '312.45', 'image_order': 312, 'indicator': 1, 'kernel': '312.a1', 'kernel_order': 4, 'label': '1248.1435.12e', 'nt': [26, 10], 'q_character': None, 'values': [[[12, 0]], [[-12, 0]], [[12, 0]], [[-12, 0]], [[12, 0]], [[-12, 0]], [[12, 0]], [[-12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 10070292
    {'center': '156.a1', 'center_index': 156, 'center_order': 8, 'counter': 102, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '312.45', 'image_order': 312, 'indicator': 1, 'kernel': '312.a1', 'kernel_order': 4, 'label': '1248.1435.12f', 'nt': [26, 10], 'q_character': None, 'values': [[[12, 0]], [[12, 0]], [[-12, 0]], [[-12, 0]], [[-12, 0]], [[12, 0]], [[12, 0]], [[-12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 10070293
    {'center': '156.a1', 'center_index': 156, 'center_order': 8, 'counter': 103, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '312.45', 'image_order': 312, 'indicator': 1, 'kernel': '312.a1', 'kernel_order': 4, 'label': '1248.1435.12g', 'nt': [26, 10], 'q_character': None, 'values': [[[12, 0]], [[12, 0]], [[-12, 0]], [[-12, 0]], [[12, 0]], [[-12, 0]], [[-12, 0]], [[12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 10070294
    {'center': '156.a1', 'center_index': 156, 'center_order': 8, 'counter': 104, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1248.1435', 'group_counter': 1435, 'group_order': 1248, 'image': None, 'image_isoclass': '312.45', 'image_order': 312, 'indicator': 1, 'kernel': '312.a1', 'kernel_order': 4, 'label': '1248.1435.12h', 'nt': [26, 10], 'q_character': None, 'values': [[[12, 0]], [[12, 0]], [[12, 0]], [[12, 0]], [[-12, 0]], [[-12, 0]], [[-12, 0]], [[-12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
• 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: 70471437
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1248, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 78, 'label': '1248.1435.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1248.1435', 'subgroup_hash': 1435, 'subgroup_order': 1248, 'subgroup_tex': 'C_2^3\\times F_{13}', 'supersolvable': True, 'sylow': 0}
  • id: 70471448
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': False, 'core_order': 624, 'counter': 2, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1248.1435.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '624.239', 'subgroup_hash': 239, 'subgroup_order': 624, 'subgroup_tex': 'C_2^2\\times F_{13}', 'supersolvable': True, 'sylow': 0}
  • id: 70471459
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 624, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '624.246', 'subgroup_hash': 246, 'subgroup_order': 624, 'subgroup_tex': 'C_2\\times D_{26}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471470
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 416, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 26, 'label': '1248.1435.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '416.233', 'subgroup_hash': 233, 'subgroup_order': 416, 'subgroup_tex': 'D_{26}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 70471481
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': False, 'core_order': 312, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1248.1435.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '312.45', 'subgroup_hash': 45, 'subgroup_order': 312, 'subgroup_tex': 'C_2\\times F_{13}', 'supersolvable': True, 'sylow': 0}
  • id: 70471492
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 312, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '312.49', 'subgroup_hash': 49, 'subgroup_order': 312, 'subgroup_tex': 'D_{26}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471494
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 312, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '312.49', 'subgroup_hash': 49, 'subgroup_order': 312, 'subgroup_tex': 'D_{26}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471495
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 312, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '312.55', 'subgroup_hash': 55, 'subgroup_order': 312, 'subgroup_tex': 'C_2\\times C_{26}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471496
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 208, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '208.49', 'subgroup_hash': 49, 'subgroup_order': 208, 'subgroup_tex': 'D_{26}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70471438
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 208, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '208.50', 'subgroup_hash': 50, 'subgroup_order': 208, 'subgroup_tex': 'C_2^2\\times D_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 70471439
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 156, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '156.8', 'subgroup_hash': 8, 'subgroup_order': 156, 'subgroup_tex': 'C_{26}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471440
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 156, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '156.8', 'subgroup_hash': 8, 'subgroup_order': 156, 'subgroup_tex': 'C_{26}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471441
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 156, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '156.12', 'subgroup_hash': 12, 'subgroup_order': 156, 'subgroup_tex': 'C_{26}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471442
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': False, 'core_order': 156, 'counter': 14, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1248.1435.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '156.7', 'subgroup_hash': 7, 'subgroup_order': 156, 'subgroup_tex': 'F_{13}', 'supersolvable': True, 'sylow': 0}
  • id: 70471443
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 104, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '104.12', 'subgroup_hash': 12, 'subgroup_order': 104, 'subgroup_tex': 'C_{26}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70471444
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 104, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '104.13', 'subgroup_hash': 13, 'subgroup_order': 104, 'subgroup_tex': 'C_2\\times D_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 70471445
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 104, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '104.13', 'subgroup_hash': 13, 'subgroup_order': 104, 'subgroup_tex': 'C_2\\times D_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 70471446
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 104, 'characteristic': True, 'core_order': 104, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '104.14', 'subgroup_hash': 14, 'subgroup_order': 104, 'subgroup_tex': 'C_2^2\\times C_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 70471447
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1248.1435.13.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.220', 'subgroup_hash': 220, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 70471449
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 78, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '78.2', 'subgroup_hash': 2, 'subgroup_order': 78, 'subgroup_tex': 'C_{13}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471450
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 78, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '78.1', 'subgroup_hash': 1, 'subgroup_order': 78, 'subgroup_tex': 'C_{13}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471451
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 78, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '78.1', 'subgroup_hash': 1, 'subgroup_order': 78, 'subgroup_tex': 'C_{13}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471452
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 52, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '52.4', 'subgroup_hash': 4, 'subgroup_order': 52, 'subgroup_tex': 'D_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 70471453
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 52, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '52.4', 'subgroup_hash': 4, 'subgroup_order': 52, 'subgroup_tex': 'D_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 70471454
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 104, 'characteristic': False, 'core_order': 52, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '52.5', 'subgroup_hash': 5, 'subgroup_order': 52, 'subgroup_tex': 'C_2\\times C_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 70471455
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 52, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '52.3', 'subgroup_hash': 3, 'subgroup_order': 52, 'subgroup_tex': 'C_{13}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70471456
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.26.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '26.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 26, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 70471457
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.26.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '26.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 26, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471458
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 39, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 39, 'label': '1248.1435.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '39.1', 'subgroup_hash': 1, 'subgroup_order': 39, 'subgroup_tex': 'C_{13}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 70471460
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1248.1435.39.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '39.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 39, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 2}
  • id: 70471461
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 104, 'characteristic': False, 'core_order': 26, 'counter': 31, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1248.1435.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '26.2', 'subgroup_hash': 2, 'subgroup_order': 26, 'subgroup_tex': 'C_{26}', 'supersolvable': True, 'sylow': 0}
  • id: 70471462
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 26, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '26.1', 'subgroup_hash': 1, 'subgroup_order': 26, 'subgroup_tex': 'D_{13}', 'supersolvable': True, 'sylow': 0}
  • id: 70471463
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 26, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1248.1435.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.52', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '26.1', 'subgroup_hash': 1, 'subgroup_order': 26, 'subgroup_tex': 'D_{13}', 'supersolvable': True, 'sylow': 0}
  • id: 70471464
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.52.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 52, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 70471465
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.52.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 52, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471466
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.52.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 52, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471467
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.52.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 52, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 70471468
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.78.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '78.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 78, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70471469
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.78.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '78.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 78, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 70471471
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 104, 'characteristic': True, 'core_order': 13, 'counter': 40, 'cyclic': True, 'direct': False, 'hall': 13, 'label': '1248.1435.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.220', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 220, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_{12}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '13.1', 'subgroup_hash': 1, 'subgroup_order': 13, 'subgroup_tex': 'C_{13}', 'supersolvable': True, 'sylow': 13}
  • id: 70471472
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.104.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '104.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 104, 'quotient_simple': 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: 70471473
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.104.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '104.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 104, 'quotient_simple': 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: 70471474
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.104.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '104.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 104, 'quotient_simple': 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: 70471475
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 44, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1248.1435.104.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '104.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 104, 'quotient_simple': 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: 70471476
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': True, 'central_factor': False, 'centralizer_order': 1248, 'characteristic': True, 'core_order': 8, 'counter': 45, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1248.1435.156.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '156.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '156.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 156, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_{13}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 70471477
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.156.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '156.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 156, 'quotient_simple': 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: 70471478
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.156.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '156.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 156, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 70471479
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.156.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '156.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 156, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 70471480
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 49, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1248.1435.208.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '208.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 208, 'quotient_simple': 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: 70471482
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 50, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1248.1435.208.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '208.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 208, 'quotient_simple': 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: 70471483
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 51, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1248.1435.208.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '208.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 208, 'quotient_simple': 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: 70471484
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': True, 'central_factor': False, 'centralizer_order': 1248, 'characteristic': False, 'core_order': 4, 'counter': 52, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1248.1435.312.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '312.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '312.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 312, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{13}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 70471485
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.312.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '312.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 312, 'quotient_simple': 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: 70471486
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1248.1435.312.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '312.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 312, 'quotient_simple': 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: 70471487
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1248.1435.312.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '312.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 312, 'quotient_simple': 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: 70471488
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 56, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '1248.1435.416.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '416.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 416, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 70471489
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': True, 'central_factor': False, 'centralizer_order': 1248, 'characteristic': False, 'core_order': 2, 'counter': 57, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1248.1435.624.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '624.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '624.239', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 239, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 624, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times F_{13}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 70471490
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 58, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1248.1435.624.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '624.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 624, '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: 70471491
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 59, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1248.1435.624.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '624.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 624, '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: 70471493
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1248.1435', 'ambient_counter': 1435, 'ambient_order': 1248, 'ambient_tex': 'C_2^3\\times F_{13}', 'central': True, 'central_factor': False, 'centralizer_order': 1248, 'characteristic': True, 'core_order': 1, 'counter': 60, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1248.1435.1248.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1248.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1248.1435', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1435, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1248, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times F_{13}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'PC', 'U1', '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: 70471437
    {'ambient': '1248.1435', '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': '156.a1', 'complements': ['1248.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '3.a1', '13.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7136, 4930, 5486, 5025], 'generators': [1, 24, 12, 624, 2, 96, 16], 'label': '1248.1435.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '156.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471438
    {'ambient': '1248.1435', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '156.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.b1', '12.c1', '12.d1', '78.b1'], 'core': '6.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9483, 8742, 7171, 2079], 'generators': [1, 24, 624, 2, 96], 'label': '1248.1435.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.b1', '12.c1', '12.d1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '156.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471439
    {'ambient': '1248.1435', 'aut_centralizer_order': 192, 'aut_label': '8.a1', 'aut_quo_index': 7, 'aut_stab_index': 7, 'aut_weyl_group': '156.7', 'aut_weyl_index': 1344, 'centralizer': '156.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['4.a1', '4.b1'], 'contains': ['16.a1', '16.b1', '16.c1', '24.a1', '104.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2803, 2715, 2324, 7427], 'generators': [24, 16, 96, 624], 'label': '1248.1435.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1'], 'normal_contains': ['16.a1', '16.b1', '16.c1', '24.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '624.239', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471440
    {'ambient': '1248.1435', 'aut_centralizer_order': 32, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 21, 'aut_weyl_group': '312.45', 'aut_weyl_index': 672, 'centralizer': '156.a1', 'complements': ['156.b1'], 'conjugacy_class_count': 21, 'contained_in': ['4.b1', '4.c1'], 'contains': ['16.a1', '16.b1', '24.b1', '104.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 21, 'diagramx': [4950, 4329, 3857, 6076], 'generators': [1, 16, 96, 1224], 'label': '1248.1435.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.b1', '4.c1'], 'normal_contains': ['16.a1', '16.b1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '624.239', 'quotient_action_image': '4.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471441
    {'ambient': '1248.1435', 'aut_centralizer_order': 32, 'aut_label': '8.c1', 'aut_quo_index': 4, 'aut_stab_index': 7, 'aut_weyl_group': '936.167', 'aut_weyl_index': 224, 'centralizer': '156.a1', 'complements': ['156.b1'], 'conjugacy_class_count': 7, 'contained_in': ['4.b1', '4.c1', '4.d1'], 'contains': ['16.a1', '24.c1', '104.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 7, 'diagramx': [8145, 6669, 6235, 3367], 'generators': [1, 16, 96, 624], 'label': '1248.1435.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1', '4.c1', '4.d1'], 'normal_contains': ['16.a1', '24.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '312.45', 'quotient_action_image': '4.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471442
    {'ambient': '1248.1435', 'aut_centralizer_order': 168, 'aut_label': '8.d1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '156.7', 'aut_weyl_index': 1344, 'centralizer': '156.a1', 'complements': ['156.a1', '156.d1'], 'conjugacy_class_count': 8, 'contained_in': ['4.a1'], 'contains': ['16.c1', '24.d1', '104.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [364, 1224, 150, 9760], 'generators': [540, 408, 96, 16], 'label': '1248.1435.8.d1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.c1', '24.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '1248.1435', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471443
    {'ambient': '1248.1435', 'aut_centralizer_order': 24, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 28, 'aut_weyl_group': '312.45', 'aut_weyl_index': 672, 'centralizer': '156.a1', 'complements': ['104.c1', '104.b1'], 'conjugacy_class_count': 28, 'contained_in': ['4.a1', '6.a1'], 'contains': ['24.a1', '24.d1', '156.b1'], 'core': '12.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [1222, 732, 764, 8778], 'generators': [1, 216, 96, 276], 'label': '1248.1435.12.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['24.a1', '24.d1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '624.239', 'quotient_action_image': '3.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471444
    {'ambient': '1248.1435', 'aut_centralizer_order': 32, 'aut_label': '12.b1', 'aut_quo_index': 6, 'aut_stab_index': 7, 'aut_weyl_group': '936.167', 'aut_weyl_index': 224, 'centralizer': '156.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['4.b1', '6.a1', '6.b1'], 'contains': ['24.a1', '24.b1', '24.c1', '156.c1'], 'core': '12.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [6349, 5904, 4680, 4760], 'generators': [1, 624, 96, 24], 'label': '1248.1435.12.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1', '6.b1'], 'normal_contains': ['24.a1', '24.b1', '24.c1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '312.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471445
    {'ambient': '1248.1435', 'aut_centralizer_order': 8, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 7, 'aut_weyl_group': '3744.q', 'aut_weyl_index': 56, 'centralizer': '156.a1', 'complements': ['104.d1'], 'conjugacy_class_count': 7, 'contained_in': ['4.c1', '6.b1'], 'contains': ['24.b1', '24.c1', '156.d1'], 'core': '12.c1', 'coset_action_label': None, 'count': 7, 'diagramx': [7990, 7752, 7106, 1974], 'generators': [1, 1224, 96, 2], 'label': '1248.1435.12.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': ['4.c1', '6.b1'], 'normal_contains': ['24.b1', '24.c1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '312.45', 'quotient_action_image': '12.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471446
    {'ambient': '1248.1435', 'aut_centralizer_order': 104, 'aut_label': '12.d1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2016.du', 'aut_weyl_index': 104, 'centralizer': '12.d1', 'complements': ['104.d1'], 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '6.b1'], 'contains': ['24.c1', '156.a1'], 'core': '12.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9664, 9292, 8953, 686], 'generators': [1, 624, 96, 2], 'label': '1248.1435.12.d1', 'mobius_quo': 8, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': ['4.d1', '6.b1'], 'normal_contains': ['24.c1', '156.a1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '156.7', 'quotient_action_image': '12.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '12.2'}
  • id: 70471447
    {'ambient': '1248.1435', 'aut_centralizer_order': 12, 'aut_label': '13.a1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '1344.11686', 'aut_weyl_index': 156, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['26.a1', '26.b1', '39.a1'], 'core': '156.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [6976, -1, 5921, -1], 'generators': [1, 24, 16, 2, 12, 624], 'label': '1248.1435.13.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '13.a1', 'projective_image': '156.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471448
    {'ambient': '1248.1435', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 14, 'aut_weyl_group': '3744.q', 'aut_weyl_index': 56, 'centralizer': '156.a1', 'complements': ['624.a1', '624.b1'], 'conjugacy_class_count': 14, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '6.a1', '26.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4472, 3322, 3809, 6438], 'generators': [1, 96, 540, 16, 2, 408], 'label': '1248.1435.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '312.45', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471449
    {'ambient': '1248.1435', 'aut_centralizer_order': 192, 'aut_label': '16.a1', 'aut_quo_index': 8, 'aut_stab_index': 7, 'aut_weyl_group': '156.7', 'aut_weyl_index': 1344, 'centralizer': '156.a1', 'complements': ['78.a1'], 'conjugacy_class_count': 7, 'contained_in': ['8.a1', '8.b1', '8.c1'], 'contains': ['32.a1', '48.a1', '208.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4901, 4305, 4057, 5610], 'generators': [624, 96, 16], 'label': '1248.1435.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1'], 'normal_contains': ['32.a1', '48.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '624.239', 'quotient_action_image': '4.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471450
    {'ambient': '1248.1435', 'aut_centralizer_order': 192, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 7, 'aut_weyl_group': '156.7', 'aut_weyl_index': 1344, 'centralizer': '156.a1', 'complements': ['78.a1'], 'conjugacy_class_count': 7, 'contained_in': ['8.a1', '8.b1'], 'contains': ['32.a1', '48.b1', '208.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [3238, 2997, 2781, 6703], 'generators': [1224, 96, 16], 'label': '1248.1435.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['32.a1', '48.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '1248.1435', 'quotient_action_image': '4.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471451
    {'ambient': '1248.1435', 'aut_centralizer_order': 1344, 'aut_label': '16.c1', 'aut_quo_index': 15, 'aut_stab_index': 1, 'aut_weyl_group': '156.7', 'aut_weyl_index': 1344, 'centralizer': '156.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.d1'], 'contains': ['32.a1', '48.c1', '208.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [1217, 1682, 1278, 8151], 'generators': [24, 96, 16], 'label': '1248.1435.16.c1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.c1', 'normal_contained_in': ['8.a1', '8.d1'], 'normal_contains': ['32.a1', '48.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '1248.1435', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471452
    {'ambient': '1248.1435', 'aut_centralizer_order': 192, 'aut_label': '24.a1', 'aut_quo_index': 14, 'aut_stab_index': 7, 'aut_weyl_group': '156.7', 'aut_weyl_index': 1344, 'centralizer': '156.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['8.a1', '12.a1', '12.b1'], 'contains': ['48.a1', '48.b1', '48.c1', '312.b1'], 'core': '24.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2841, 2324, 2328, 7427], 'generators': [24, 96, 624], 'label': '1248.1435.24.a1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1', '12.b1'], 'normal_contains': ['48.a1', '48.b1', '48.c1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '624.239', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471453
    {'ambient': '1248.1435', 'aut_centralizer_order': 32, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 21, 'aut_weyl_group': '312.45', 'aut_weyl_index': 672, 'centralizer': '156.a1', 'complements': ['52.a1'], 'conjugacy_class_count': 21, 'contained_in': ['8.b1', '12.b1', '12.c1'], 'contains': ['48.a1', '48.b1', '312.c1'], 'core': '24.b1', 'coset_action_label': None, 'count': 21, 'diagramx': [6443, 5271, 4676, 4621], 'generators': [1, 96, 1224], 'label': '1248.1435.24.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.b1', '12.c1'], 'normal_contains': ['48.a1', '48.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '624.239', 'quotient_action_image': '12.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471454
    {'ambient': '1248.1435', 'aut_centralizer_order': 416, 'aut_label': '24.c1', 'aut_quo_index': 8, 'aut_stab_index': 7, 'aut_weyl_group': '72.27', 'aut_weyl_index': 2912, 'centralizer': '12.d1', 'complements': ['52.a1'], 'conjugacy_class_count': 7, 'contained_in': ['8.c1', '12.b1', '12.c1', '12.d1'], 'contains': ['48.a1', '312.a1'], 'core': '24.c1', 'coset_action_label': None, 'count': 7, 'diagramx': [8277, 6853, 6178, 3367], 'generators': [1, 96, 624], 'label': '1248.1435.24.c1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.b1', '12.c1', '12.d1'], 'normal_contains': ['48.a1', '312.a1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '312.45', 'quotient_action_image': '12.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '12.2'}
  • id: 70471455
    {'ambient': '1248.1435', 'aut_centralizer_order': 168, 'aut_label': '24.d1', 'aut_quo_index': 2, 'aut_stab_index': 8, 'aut_weyl_group': '156.7', 'aut_weyl_index': 1344, 'centralizer': '156.a1', 'complements': ['52.d1', '52.c1'], 'conjugacy_class_count': 8, 'contained_in': ['8.d1', '12.a1'], 'contains': ['48.c1', '312.d1'], 'core': '24.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [347, 708, 372, 8980], 'generators': [276, 96, 216], 'label': '1248.1435.24.d1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.d1', 'normal_contained_in': ['8.d1', '12.a1'], 'normal_contains': ['48.c1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '1248.1435', 'quotient_action_image': '3.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471456
    {'ambient': '1248.1435', 'aut_centralizer_order': 48, 'aut_label': '26.a1', 'aut_quo_index': None, 'aut_stab_index': 182, 'aut_weyl_group': '24.12', 'aut_weyl_index': 8736, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 14, 'contained_in': ['2.a1', '13.a1'], 'contains': ['52.a1', '52.b1', '78.a1'], 'core': '312.a1', 'coset_action_label': None, 'count': 182, 'diagramx': [4433, -1, 3809, -1], 'generators': [1, 408, 2, 540, 976], 'label': '1248.1435.26.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '26.a1', 'projective_image': '312.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471457
    {'ambient': '1248.1435', 'aut_centralizer_order': 96, 'aut_label': '26.b1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '168.42', 'aut_weyl_index': 1248, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '13.a1'], 'contains': ['52.b1', '52.c1', '52.d1', '78.b1'], 'core': '156.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [9107, -1, 7916, -1], 'generators': [1, 16, 2, 24, 624], 'label': '1248.1435.26.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '26.b1', 'projective_image': '156.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471458
    {'ambient': '1248.1435', 'aut_centralizer_order': 1344, 'aut_label': '32.a1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '156.7', 'aut_weyl_index': 1344, 'centralizer': '156.a1', 'complements': ['39.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1'], 'contains': ['96.a1', '416.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2164, 3830, 2541, 6828], 'generators': [16, 96], 'label': '1248.1435.32.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1'], 'normal_contains': ['96.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '1248.1435', 'quotient_action_image': '4.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471459
    {'ambient': '1248.1435', 'aut_centralizer_order': 8, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '156.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.d1', '6.b1', '26.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8959, 6437, 6980, 3472], 'generators': [1, 96, 24, 624, 2, 16], 'label': '1248.1435.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.d1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '156.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471460
    {'ambient': '1248.1435', 'aut_centralizer_order': 12, 'aut_label': '39.a1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '1344.11686', 'aut_weyl_index': 156, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '13.a1'], 'contains': ['78.a1', '78.b1'], 'core': '156.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [7401, -1, 5490, -1], 'generators': [1, 2, 36, 624], 'label': '1248.1435.39.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '39.a1', 'projective_image': '156.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471461
    {'ambient': '1248.1435', 'aut_centralizer_order': 2496, 'aut_label': '48.a1', 'aut_quo_index': 16, 'aut_stab_index': 7, 'aut_weyl_group': '12.2', 'aut_weyl_index': 17472, 'centralizer': '12.d1', 'complements': ['26.a1'], 'conjugacy_class_count': 7, 'contained_in': ['16.a1', '24.a1', '24.b1', '24.c1'], 'contains': ['96.a1', '624.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5518, 4488, 4057, 5484], 'generators': [624, 96], 'label': '1248.1435.48.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1', '24.c1'], 'normal_contains': ['96.a1', '624.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '624.239', 'quotient_action_image': '12.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '12.2'}
  • id: 70471462
    {'ambient': '1248.1435', 'aut_centralizer_order': 192, 'aut_label': '48.b1', 'aut_quo_index': 2, 'aut_stab_index': 7, 'aut_weyl_group': '156.7', 'aut_weyl_index': 1344, 'centralizer': '156.a1', 'complements': ['26.a1'], 'conjugacy_class_count': 7, 'contained_in': ['16.b1', '24.a1', '24.b1'], 'contains': ['96.a1', '624.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [3227, 3231, 3356, 6104], 'generators': [1224, 96], 'label': '1248.1435.48.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.b1'], 'normal_contains': ['96.a1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '1248.1435', 'quotient_action_image': '12.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471463
    {'ambient': '1248.1435', 'aut_centralizer_order': 1344, 'aut_label': '48.c1', 'aut_quo_index': 30, 'aut_stab_index': 1, 'aut_weyl_group': '156.7', 'aut_weyl_index': 1344, 'centralizer': '156.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '24.a1', '24.d1'], 'contains': ['96.a1', '624.c1'], 'core': '48.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [1167, 1848, 1770, 7915], 'generators': [24, 96], 'label': '1248.1435.48.c1', 'mobius_quo': 0, 'mobius_sub': -64, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.a1', '24.d1'], 'normal_contains': ['96.a1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': '1248.1435', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471464
    {'ambient': '1248.1435', 'aut_centralizer_order': 288, 'aut_label': '52.a1', 'aut_quo_index': None, 'aut_stab_index': 364, 'aut_weyl_group': '2.1', 'aut_weyl_index': 104832, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 28, 'contained_in': ['4.a1', '26.a1'], 'contains': ['104.a1', '104.d1', '156.b1'], 'core': '624.a1', 'coset_action_label': None, 'count': 364, 'diagramx': [1415, -1, 1544, -1], 'generators': [1, 540, 976, 408], 'label': '1248.1435.52.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '52.a1', 'projective_image': '624.239', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471465
    {'ambient': '1248.1435', 'aut_centralizer_order': 384, 'aut_label': '52.b1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '6.1', 'aut_weyl_index': 34944, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 7, 'contained_in': ['4.b1', '26.a1', '26.b1'], 'contains': ['104.a1', '104.b1', '104.c1', '156.c1'], 'core': '312.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [6333, -1, 5425, -1], 'generators': [1, 24, 624, 16], 'label': '1248.1435.52.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '52.b1', 'projective_image': '312.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471466
    {'ambient': '1248.1435', 'aut_centralizer_order': 96, 'aut_label': '52.c1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '24.12', 'aut_weyl_index': 8736, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 7, 'contained_in': ['4.c1', '26.b1'], 'contains': ['104.b1', '104.c1', '156.d1'], 'core': '312.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [7819, -1, 7851, -1], 'generators': [1, 2, 1224, 208], 'label': '1248.1435.52.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '52.c1', 'projective_image': '312.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471467
    {'ambient': '1248.1435', 'aut_centralizer_order': 96, 'aut_label': '52.d1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '168.42', 'aut_weyl_index': 1248, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '26.b1'], 'contains': ['104.c1', '156.a1'], 'core': '156.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [9317, -1, 9697, -1], 'generators': [1, 2, 624, 16], 'label': '1248.1435.52.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '52.d1', 'projective_image': '156.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471468
    {'ambient': '1248.1435', 'aut_centralizer_order': 48, 'aut_label': '78.a1', 'aut_quo_index': None, 'aut_stab_index': 182, 'aut_weyl_group': '24.12', 'aut_weyl_index': 8736, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 14, 'contained_in': ['6.a1', '26.a1', '39.a1'], 'contains': ['156.b1', '156.c1'], 'core': '312.a1', 'coset_action_label': None, 'count': 182, 'diagramx': [4625, -1, 3090, -1], 'generators': [1, 2, 276], 'label': '1248.1435.78.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '78.a1', 'projective_image': '312.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '78.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471469
    {'ambient': '1248.1435', 'aut_centralizer_order': 96, 'aut_label': '78.b1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '168.42', 'aut_weyl_index': 1248, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '26.b1', '39.a1'], 'contains': ['156.a1', '156.c1', '156.d1'], 'core': '156.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [8822, -1, 8373, -1], 'generators': [1, 2, 24, 624], 'label': '1248.1435.78.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '78.b1', 'projective_image': '156.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '78.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471470
    {'ambient': '1248.1435', 'aut_centralizer_order': 1, 'aut_label': '3.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '209664.a', 'aut_weyl_index': 1, 'centralizer': '156.a1', 'complements': ['416.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '39.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7659, 4930, 5050, 5025], 'generators': [1, 96, 36, 624, 2, 24], 'label': '1248.1435.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '156.7', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471471
    {'ambient': '1248.1435', 'aut_centralizer_order': 17472, 'aut_label': '96.a1', 'aut_quo_index': 32, 'aut_stab_index': 1, 'aut_weyl_group': '12.2', 'aut_weyl_index': 17472, 'centralizer': '12.d1', 'complements': ['13.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1', '48.c1'], 'contains': ['1248.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1845, 3830, 2868, 6104], 'generators': [96], 'label': '1248.1435.96.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1', '48.c1'], 'normal_contains': ['1248.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '1248.1435', 'quotient_action_image': '12.2', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '12.2'}
  • id: 70471472
    {'ambient': '1248.1435', 'aut_centralizer_order': 2304, 'aut_label': '104.a1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '1.1', 'aut_weyl_index': 209664, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 7, 'contained_in': ['8.a1', '52.a1', '52.b1'], 'contains': ['208.a1', '208.b1', '208.c1', '312.b1'], 'core': '624.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [2880, -1, 3338, -1], 'generators': [24, 624, 16], 'label': '1248.1435.104.a1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '104.a1', 'projective_image': '624.239', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '104.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471473
    {'ambient': '1248.1435', 'aut_centralizer_order': 384, 'aut_label': '104.b1', 'aut_quo_index': None, 'aut_stab_index': 273, 'aut_weyl_group': '2.1', 'aut_weyl_index': 104832, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 21, 'contained_in': ['8.b1', '52.b1', '52.c1'], 'contains': ['208.a1', '208.b1', '312.c1'], 'core': '624.a1', 'coset_action_label': None, 'count': 273, 'diagramx': [5853, -1, 5168, -1], 'generators': [1, 1224, 208], 'label': '1248.1435.104.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '104.b1', 'projective_image': '624.239', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '104.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471474
    {'ambient': '1248.1435', 'aut_centralizer_order': 384, 'aut_label': '104.c1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '6.1', 'aut_weyl_index': 34944, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 7, 'contained_in': ['8.c1', '52.b1', '52.c1', '52.d1'], 'contains': ['208.a1', '312.a1'], 'core': '312.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [7891, -1, 6832, -1], 'generators': [1, 624, 16], 'label': '1248.1435.104.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '104.c1', 'projective_image': '312.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '104.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471475
    {'ambient': '1248.1435', 'aut_centralizer_order': 2016, 'aut_label': '104.d1', 'aut_quo_index': None, 'aut_stab_index': 104, 'aut_weyl_group': '1.1', 'aut_weyl_index': 209664, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.d1', '52.a1'], 'contains': ['208.c1', '312.d1'], 'core': '1248.a1', 'coset_action_label': None, 'count': 104, 'diagramx': [193, -1, 825, -1], 'generators': [540, 976, 408], 'label': '1248.1435.104.d1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '104.d1', 'projective_image': '1248.1435', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '104.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471476
    {'ambient': '1248.1435', 'aut_centralizer_order': 1248, 'aut_label': '156.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '168.42', 'aut_weyl_index': 1248, 'centralizer': '1.a1', 'complements': ['8.d1'], 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '52.d1', '78.b1'], 'contains': ['312.a1'], 'core': '156.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9388, 8027, 8661, 1598], 'generators': [1, 2, 624], 'label': '1248.1435.156.a1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '156.a1', 'normal_contained_in': ['12.d1'], 'normal_contains': ['312.a1'], 'normalizer': '1.a1', 'old_label': '156.a1', 'projective_image': '156.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '156.7', 'quotient_action_kernel_order': 156, 'quotient_fusion': None, 'short_label': '156.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471477
    {'ambient': '1248.1435', 'aut_centralizer_order': 288, 'aut_label': '156.b1', 'aut_quo_index': None, 'aut_stab_index': 364, 'aut_weyl_group': '2.1', 'aut_weyl_index': 104832, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 28, 'contained_in': ['12.a1', '52.a1', '78.a1'], 'contains': ['312.b1', '312.d1'], 'core': '624.a1', 'coset_action_label': None, 'count': 364, 'diagramx': [1503, -1, 1836, -1], 'generators': [1, 276], 'label': '1248.1435.156.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '156.b1', 'projective_image': '624.239', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '156.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471478
    {'ambient': '1248.1435', 'aut_centralizer_order': 384, 'aut_label': '156.c1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '6.1', 'aut_weyl_index': 34944, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 7, 'contained_in': ['12.b1', '52.b1', '78.a1', '78.b1'], 'contains': ['312.a1', '312.b1', '312.c1'], 'core': '312.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [6420, -1, 5642, -1], 'generators': [1, 24, 624], 'label': '1248.1435.156.c1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '156.c1', 'projective_image': '312.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '156.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471479
    {'ambient': '1248.1435', 'aut_centralizer_order': 96, 'aut_label': '156.d1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '24.12', 'aut_weyl_index': 8736, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 7, 'contained_in': ['12.c1', '52.c1', '78.b1'], 'contains': ['312.a1', '312.c1'], 'core': '312.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [8448, -1, 7306, -1], 'generators': [1, 2, 1224], 'label': '1248.1435.156.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '156.d1', 'projective_image': '312.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '156.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471480
    {'ambient': '1248.1435', 'aut_centralizer_order': 2304, 'aut_label': '208.a1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '1.1', 'aut_weyl_index': 209664, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 7, 'contained_in': ['16.a1', '104.a1', '104.b1', '104.c1'], 'contains': ['416.a1', '624.a1'], 'core': '624.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [4802, -1, 4406, -1], 'generators': [624, 16], 'label': '1248.1435.208.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '208.a1', 'projective_image': '624.239', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '208.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471481
    {'ambient': '1248.1435', 'aut_centralizer_order': 24, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 28, 'aut_weyl_group': '312.45', 'aut_weyl_index': 672, 'centralizer': '156.a1', 'complements': ['312.a1', '312.c1'], 'conjugacy_class_count': 28, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.d1', '12.a1', '52.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [1861, 1407, 1544, 8277], 'generators': [1, 16, 408, 540, 96], 'label': '1248.1435.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.d1', '12.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '624.239', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471482
    {'ambient': '1248.1435', 'aut_centralizer_order': 2304, 'aut_label': '208.b1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '1.1', 'aut_weyl_index': 209664, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 7, 'contained_in': ['16.b1', '104.a1', '104.b1'], 'contains': ['416.a1', '624.b1'], 'core': '1248.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [3987, -1, 3708, -1], 'generators': [1224, 208], 'label': '1248.1435.208.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '208.b1', 'projective_image': '1248.1435', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '208.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471483
    {'ambient': '1248.1435', 'aut_centralizer_order': 16128, 'aut_label': '208.c1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '1.1', 'aut_weyl_index': 209664, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '104.a1', '104.d1'], 'contains': ['416.a1', '624.c1'], 'core': '1248.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [1355, -1, 2123, -1], 'generators': [24, 16], 'label': '1248.1435.208.c1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '208.c1', 'projective_image': '1248.1435', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '208.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471484
    {'ambient': '1248.1435', 'aut_centralizer_order': 4992, 'aut_label': '312.a1', 'aut_quo_index': 1, 'aut_stab_index': 7, 'aut_weyl_group': '6.1', 'aut_weyl_index': 34944, 'centralizer': '1.a1', 'complements': ['4.a1'], 'conjugacy_class_count': 7, 'contained_in': ['24.c1', '104.c1', '156.a1', '156.c1', '156.d1'], 'contains': ['624.a1'], 'core': '312.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8149, 6853, 6505, 3367], 'generators': [1, 624], 'label': '1248.1435.312.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '312.a1', 'normal_contained_in': ['24.c1', '156.a1'], 'normal_contains': ['624.a1'], 'normalizer': '1.a1', 'old_label': '312.a1', 'projective_image': '312.45', 'quotient_action_image': '1.1', 'quotient_action_kernel': '312.45', 'quotient_action_kernel_order': 312, 'quotient_fusion': None, 'short_label': '312.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471485
    {'ambient': '1248.1435', 'aut_centralizer_order': 2304, 'aut_label': '312.b1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '1.1', 'aut_weyl_index': 209664, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 7, 'contained_in': ['24.a1', '104.a1', '156.b1', '156.c1'], 'contains': ['624.a1', '624.b1', '624.c1'], 'core': '624.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [3150, -1, 2981, -1], 'generators': [24, 624], 'label': '1248.1435.312.b1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '312.b1', 'projective_image': '624.239', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '312.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471486
    {'ambient': '1248.1435', 'aut_centralizer_order': 384, 'aut_label': '312.c1', 'aut_quo_index': None, 'aut_stab_index': 273, 'aut_weyl_group': '2.1', 'aut_weyl_index': 104832, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 21, 'contained_in': ['24.b1', '104.b1', '156.c1', '156.d1'], 'contains': ['624.a1', '624.b1'], 'core': '624.a1', 'coset_action_label': None, 'count': 273, 'diagramx': [6211, -1, 4954, -1], 'generators': [1, 1224], 'label': '1248.1435.312.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '312.c1', 'projective_image': '624.239', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '312.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471487
    {'ambient': '1248.1435', 'aut_centralizer_order': 2016, 'aut_label': '312.d1', 'aut_quo_index': None, 'aut_stab_index': 104, 'aut_weyl_group': '1.1', 'aut_weyl_index': 209664, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.d1', '104.d1', '156.b1'], 'contains': ['624.c1'], 'core': '1248.a1', 'coset_action_label': None, 'count': 104, 'diagramx': [242, -1, 1122, -1], 'generators': [276], 'label': '1248.1435.312.d1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '312.d1', 'projective_image': '1248.1435', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '312.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471488
    {'ambient': '1248.1435', 'aut_centralizer_order': 16128, 'aut_label': '416.a1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '1.1', 'aut_weyl_index': 209664, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '208.a1', '208.b1', '208.c1'], 'contains': ['1248.a1'], 'core': '1248.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [2505, -1, 3216, -1], 'generators': [16], 'label': '1248.1435.416.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '416.a1', 'projective_image': '1248.1435', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '416.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471489
    {'ambient': '1248.1435', 'aut_centralizer_order': 29952, 'aut_label': '624.a1', 'aut_quo_index': 1, 'aut_stab_index': 7, 'aut_weyl_group': '1.1', 'aut_weyl_index': 209664, 'centralizer': '1.a1', 'complements': ['2.a1'], 'conjugacy_class_count': 7, 'contained_in': ['48.a1', '208.a1', '312.a1', '312.b1', '312.c1'], 'contains': ['1248.a1'], 'core': '624.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4956, 4488, 4231, 5484], 'generators': [624], 'label': '1248.1435.624.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '624.a1', 'normal_contained_in': ['48.a1', '312.a1'], 'normal_contains': ['1248.a1'], 'normalizer': '1.a1', 'old_label': '624.a1', 'projective_image': '624.239', 'quotient_action_image': '1.1', 'quotient_action_kernel': '624.239', 'quotient_action_kernel_order': 624, 'quotient_fusion': None, 'short_label': '624.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471490
    {'ambient': '1248.1435', 'aut_centralizer_order': 2304, 'aut_label': '624.b1', 'aut_quo_index': None, 'aut_stab_index': 91, 'aut_weyl_group': '1.1', 'aut_weyl_index': 209664, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 7, 'contained_in': ['48.b1', '208.b1', '312.b1', '312.c1'], 'contains': ['1248.a1'], 'core': '1248.a1', 'coset_action_label': None, 'count': 91, 'diagramx': [3569, -1, 3530, -1], 'generators': [1224], 'label': '1248.1435.624.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '624.b1', 'projective_image': '1248.1435', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '624.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471491
    {'ambient': '1248.1435', 'aut_centralizer_order': 16128, 'aut_label': '624.c1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '1.1', 'aut_weyl_index': 209664, 'centralizer': '13.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '208.c1', '312.b1', '312.d1'], 'contains': ['1248.a1'], 'core': '1248.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [1355, -1, 2123, -1], 'generators': [24], 'label': '1248.1435.624.c1', 'mobius_quo': None, 'mobius_sub': 64, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1', 'old_label': '624.c1', 'projective_image': '1248.1435', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '624.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471492
    {'ambient': '1248.1435', 'aut_centralizer_order': 32, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 7, 'aut_weyl_group': '936.167', 'aut_weyl_index': 224, 'centralizer': '156.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.b1', '8.c1', '12.b1', '52.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [5589, 4646, 4680, 4969], 'generators': [1, 624, 16, 24, 96], 'label': '1248.1435.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.b1', '8.c1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '312.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471493
    {'ambient': '1248.1435', 'aut_centralizer_order': None, 'aut_label': '1248.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '416.a1', '624.a1', '624.b1', '624.c1'], 'contains': [], 'core': '1248.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2505, 4213, 3216, 5791], 'generators': [], 'label': '1248.1435.1248.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1248.a1', 'normal_contained_in': ['96.a1', '624.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1248.a1', 'projective_image': '1248.1435', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1248.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70471494
    {'ambient': '1248.1435', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 7, 'aut_weyl_group': '3744.q', 'aut_weyl_index': 56, 'centralizer': '156.a1', 'complements': ['312.d1'], 'conjugacy_class_count': 7, 'contained_in': ['2.b1'], 'contains': ['8.b1', '8.c1', '12.c1', '52.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 7, 'diagramx': [8145, 6437, 6300, 3472], 'generators': [1, 1224, 16, 2, 96], 'label': '1248.1435.4.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.b1', '8.c1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '312.45', 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471495
    {'ambient': '1248.1435', 'aut_centralizer_order': 8, 'aut_label': '4.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '156.a1', 'complements': ['312.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1'], 'contains': ['8.c1', '12.d1', '52.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9807, 8551, 8839, 686], 'generators': [1, 624, 16, 2, 96], 'label': '1248.1435.4.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.c1', '12.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '156.7', 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '156.7'}
  • id: 70471496
    {'ambient': '1248.1435', 'aut_centralizer_order': 4, 'aut_label': '6.a1', 'aut_quo_index': 2, 'aut_stab_index': 14, 'aut_weyl_group': '3744.q', 'aut_weyl_index': 56, 'centralizer': '156.a1', 'complements': ['208.a1', '208.b1'], 'conjugacy_class_count': 14, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '78.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4472, 3272, 2938, 6466], 'generators': [1, 276, 216, 2, 96], 'label': '1248.1435.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.b1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '312.45', 'quotient_action_image': '3.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '156.7'}