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  • gps_groups • Show schema
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '12.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [12, 6, 24, 6, 6], 'aut_gens': [[1, 6, 48, 144, 432, 1296, 3888, 11664], [29281, 28578, 20304, 23760, 12576, 20640, 27168, 17136], [20681, 25458, 22512, 7488, 14208, 23328, 10752, 2592], [26149, 19398, 23472, 27168, 19488, 5472, 14448, 21936], [15701, 18966, 11520, 13632, 32496, 22176, 34752, 29184], [8449, 14790, 29472, 28272, 34272, 22176, 1440, 29184]], 'aut_group': None, 'aut_hash': 7171893539774729110, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 139968, 'aut_permdeg': 1584, 'aut_perms': 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11664], [22753, 27846, 48, 144, 432, 1296, 3888, 11664], [6769, 6774, 48, 144, 432, 1296, 3888, 11664], [34849, 27654, 48, 144, 432, 1296, 3888, 11664], [7153, 33606, 48, 144, 432, 1296, 3888, 11664]], 'inner_hash': 3199165019903183064, 'inner_nilpotent': False, 'inner_order': 34992, 'inner_split': True, 'inner_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'inner_used': [1, 2], 'irrC_degree': 24, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': 24, 'irrep_stats': [[1, 12], [2, 9], [8, 24], [16, 9], [24, 6], [48, 12]], 'label': '34992.hj', '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': False, 'metacyclic': False, 'monomial': None, 'name': 'C3^6.(C3*SD16)', 'ngens': 11, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 40, 'number_characteristic_subgroups': 22, 'number_conjugacy_classes': 72, 'number_divisions': 52, 'number_normal_subgroups': 22, 'number_subgroup_autclasses': 3027, 'number_subgroup_classes': 7279, 'number_subgroups': 2309394, 'old_label': None, 'order': 34992, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 837], [3, 2186], [4, 4374], [6, 10098], [8, 2916], [12, 8748], [24, 5832]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [0, 25262], 'outer_gens': [[10181, 23718, 32256, 27744, 12288, 1296, 31920, 11664], [26365, 32598, 31968, 2016, 8448, 30480, 28848, 5472]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': None, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 5], [4, 2], [8, 9], [16, 11], [24, 6], [32, 3], [48, 12]], 'representations': {'PC': {'code': '123907834742372531956375167556265645925237397897226515377710171758010241326660353451705691586475804800800339388030239831291997007526620842186719952486464565077199626405985657275994799909288043954076223', 'gens': [1, 3, 6, 7, 8, 9, 10, 11], 'pres': [11, -2, -3, -2, -2, -2, -3, 3, 3, 3, 3, 3, 22, 204612, 624692, 84064, 90, 90291, 309686, 124, 315484, 388755, 1641029, 627280, 191163, 27494, 313, 1452534, 439841, 4956, 223339, 974, 2521735, 587154, 290781, 15176, 3219, 1040696, 128323, 173478, 240809, 10744, 2344329, 422420, 229711, 208602, 35693, 2654266, 1411365, 614712, 290443, 117666]}, 'Perm': {'d': 36, 'gens': [191468231656104777533839789507832925433080, 52878959517909962023788412501587776667573]}}, 'schur_multiplier': [3], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^6.(C_3\\times \\SD_{16})', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}
  • gps_conj_classes • Show schema
    • id: 160483212
      {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 192, 'group_order': 34992, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
    • id: 160483223
      {'aut_label': '2A', 'centralizer': '108.BE', 'counter': 2, 'group_counter': 192, 'group_order': 34992, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 23865, 'size': 108}
    • id: 160483234
      {'aut_label': '2B', 'centralizer': '729.a1', 'counter': 3, 'group_counter': 192, 'group_order': 34992, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 18504, 'size': 729}
    • id: 160483245
      {'aut_label': '3A', 'centralizer': '8.B', 'counter': 4, 'group_counter': 192, 'group_order': 34992, 'label': '3A', 'order': 3, 'powers': [4, 1], 'representative': 22176, 'size': 8}
    • id: 160483256
      {'aut_label': '3A', 'centralizer': '8.B', 'counter': 5, 'group_counter': 192, 'group_order': 34992, 'label': '3B', 'order': 3, 'powers': [5, 1], 'representative': 5472, 'size': 8}
    • id: 160483267
      {'aut_label': '3C', 'centralizer': '8.B', 'counter': 6, 'group_counter': 192, 'group_order': 34992, 'label': '3C', 'order': 3, 'powers': [6, 1], 'representative': 20880, 'size': 8}
    • id: 160483278
      {'aut_label': '3D', 'centralizer': '8.B', 'counter': 7, 'group_counter': 192, 'group_order': 34992, 'label': '3D', 'order': 3, 'powers': [7, 1], 'representative': 13776, 'size': 8}
    • id: 160483282
      {'aut_label': '3E1', 'centralizer': '9.A', 'counter': 8, 'group_counter': 192, 'group_order': 34992, 'label': '3E1', 'order': 3, 'powers': [9, 1], 'representative': 11572, 'size': 9}
    • id: 160483283
      {'aut_label': '3E1', 'centralizer': '9.A', 'counter': 9, 'group_counter': 192, 'group_order': 34992, 'label': '3E-1', 'order': 3, 'powers': [8, 1], 'representative': 20570, 'size': 9}
    • id: 160483213
      {'aut_label': '3F', 'centralizer': '16.a1', 'counter': 10, 'group_counter': 192, 'group_order': 34992, 'label': '3F', 'order': 3, 'powers': [10, 1], 'representative': 12960, 'size': 16}
    • id: 160483214
      {'aut_label': '3G', 'centralizer': '16.a1', 'counter': 11, 'group_counter': 192, 'group_order': 34992, 'label': '3G', 'order': 3, 'powers': [11, 1], 'representative': 7920, 'size': 16}
    • id: 160483215
      {'aut_label': '3G', 'centralizer': '16.a1', 'counter': 12, 'group_counter': 192, 'group_order': 34992, 'label': '3H', 'order': 3, 'powers': [12, 1], 'representative': 2352, 'size': 16}
    • id: 160483216
      {'aut_label': '3I', 'centralizer': '24.K', 'counter': 13, 'group_counter': 192, 'group_order': 34992, 'label': '3I', 'order': 3, 'powers': [13, 1], 'representative': 9504, 'size': 24}
    • id: 160483217
      {'aut_label': '3I', 'centralizer': '24.K', 'counter': 14, 'group_counter': 192, 'group_order': 34992, 'label': '3J', 'order': 3, 'powers': [14, 1], 'representative': 14832, 'size': 24}
    • id: 160483218
      {'aut_label': '3K', 'centralizer': '24.K', 'counter': 15, 'group_counter': 192, 'group_order': 34992, 'label': '3K', 'order': 3, 'powers': [15, 1], 'representative': 13248, 'size': 24}
    • id: 160483219
      {'aut_label': '3L', 'centralizer': '48.A', 'counter': 16, 'group_counter': 192, 'group_order': 34992, 'label': '3L', 'order': 3, 'powers': [16, 1], 'representative': 3888, 'size': 48}
    • id: 160483220
      {'aut_label': '3M', 'centralizer': '48.A', 'counter': 17, 'group_counter': 192, 'group_order': 34992, 'label': '3M', 'order': 3, 'powers': [17, 1], 'representative': 432, 'size': 48}
    • id: 160483221
      {'aut_label': '3L', 'centralizer': '48.A', 'counter': 18, 'group_counter': 192, 'group_order': 34992, 'label': '3N', 'order': 3, 'powers': [18, 1], 'representative': 144, 'size': 48}
    • id: 160483222
      {'aut_label': '3O', 'centralizer': '48.A', 'counter': 19, 'group_counter': 192, 'group_order': 34992, 'label': '3O', 'order': 3, 'powers': [19, 1], 'representative': 48, 'size': 48}
    • id: 160483224
      {'aut_label': '3O', 'centralizer': '48.A', 'counter': 20, 'group_counter': 192, 'group_order': 34992, 'label': '3P', 'order': 3, 'powers': [20, 1], 'representative': 15552, 'size': 48}
    • id: 160483225
      {'aut_label': '3Q', 'centralizer': '48.A', 'counter': 21, 'group_counter': 192, 'group_order': 34992, 'label': '3Q', 'order': 3, 'powers': [21, 1], 'representative': 5184, 'size': 48}
    • id: 160483226
      {'aut_label': '3R', 'centralizer': '48.A', 'counter': 22, 'group_counter': 192, 'group_order': 34992, 'label': '3R', 'order': 3, 'powers': [22, 1], 'representative': 12096, 'size': 48}
    • id: 160483227
      {'aut_label': '3L', 'centralizer': '48.A', 'counter': 23, 'group_counter': 192, 'group_order': 34992, 'label': '3S', 'order': 3, 'powers': [23, 1], 'representative': 1728, 'size': 48}
    • id: 160483228
      {'aut_label': '3T', 'centralizer': '48.A', 'counter': 24, 'group_counter': 192, 'group_order': 34992, 'label': '3T', 'order': 3, 'powers': [24, 1], 'representative': 3936, 'size': 48}
    • id: 160483229
      {'aut_label': '3Q', 'centralizer': '48.A', 'counter': 25, 'group_counter': 192, 'group_order': 34992, 'label': '3U', 'order': 3, 'powers': [25, 1], 'representative': 1344, 'size': 48}
    • id: 160483230
      {'aut_label': '3L', 'centralizer': '48.A', 'counter': 26, 'group_counter': 192, 'group_order': 34992, 'label': '3V', 'order': 3, 'powers': [26, 1], 'representative': 27216, 'size': 48}
    • id: 160483231
      {'aut_label': '3M', 'centralizer': '48.A', 'counter': 27, 'group_counter': 192, 'group_order': 34992, 'label': '3W', 'order': 3, 'powers': [27, 1], 'representative': 9072, 'size': 48}
    • id: 160483232
      {'aut_label': '3X1', 'centralizer': '72.R', 'counter': 28, 'group_counter': 192, 'group_order': 34992, 'label': '3X1', 'order': 3, 'powers': [29, 1], 'representative': 7204, 'size': 72}
    • id: 160483233
      {'aut_label': '3X1', 'centralizer': '72.R', 'counter': 29, 'group_counter': 192, 'group_order': 34992, 'label': '3X-1', 'order': 3, 'powers': [28, 1], 'representative': 25178, 'size': 72}
    • id: 160483235
      {'aut_label': '3Y1', 'centralizer': '72.R', 'counter': 30, 'group_counter': 192, 'group_order': 34992, 'label': '3Y1', 'order': 3, 'powers': [31, 1], 'representative': 13706, 'size': 72}
    • id: 160483236
      {'aut_label': '3Y1', 'centralizer': '72.R', 'counter': 31, 'group_counter': 192, 'group_order': 34992, 'label': '3Y-1', 'order': 3, 'powers': [30, 1], 'representative': 11188, 'size': 72}
    • id: 160483237
      {'aut_label': '3Z1', 'centralizer': '72.P', 'counter': 32, 'group_counter': 192, 'group_order': 34992, 'label': '3Z1', 'order': 3, 'powers': [33, 1], 'representative': 20810, 'size': 72}
    • id: 160483238
      {'aut_label': '3Z1', 'centralizer': '72.P', 'counter': 33, 'group_counter': 192, 'group_order': 34992, 'label': '3Z-1', 'order': 3, 'powers': [32, 1], 'representative': 9604, 'size': 72}
    • id: 160483239
      {'aut_label': '3X1', 'centralizer': '72.R', 'counter': 34, 'group_counter': 192, 'group_order': 34992, 'label': '3AA1', 'order': 3, 'powers': [35, 1], 'representative': 21220, 'size': 72}
    • id: 160483240
      {'aut_label': '3X1', 'centralizer': '72.R', 'counter': 35, 'group_counter': 192, 'group_order': 34992, 'label': '3AA-1', 'order': 3, 'powers': [34, 1], 'representative': 30314, 'size': 72}
    • id: 160483241
      {'aut_label': '3AB1', 'centralizer': '144.CE', 'counter': 36, 'group_counter': 192, 'group_order': 34992, 'label': '3AB1', 'order': 3, 'powers': [37, 1], 'representative': 26, 'size': 144}
    • id: 160483242
      {'aut_label': '3AB1', 'centralizer': '144.CE', 'counter': 37, 'group_counter': 192, 'group_order': 34992, 'label': '3AB-1', 'order': 3, 'powers': [36, 1], 'representative': 3892, 'size': 144}
    • id: 160483243
      {'aut_label': '3AB1', 'centralizer': '144.CE', 'counter': 38, 'group_counter': 192, 'group_order': 34992, 'label': '3AC1', 'order': 3, 'powers': [39, 1], 'representative': 148, 'size': 144}
    • id: 160483244
      {'aut_label': '3AB1', 'centralizer': '144.CE', 'counter': 39, 'group_counter': 192, 'group_order': 34992, 'label': '3AC-1', 'order': 3, 'powers': [38, 1], 'representative': 1322, 'size': 144}
    • id: 160483246
      {'aut_label': '3AD1', 'centralizer': '144.CE', 'counter': 40, 'group_counter': 192, 'group_order': 34992, 'label': '3AD1', 'order': 3, 'powers': [41, 1], 'representative': 52, 'size': 144}
    • id: 160483247
      {'aut_label': '3AD1', 'centralizer': '144.CE', 'counter': 41, 'group_counter': 192, 'group_order': 34992, 'label': '3AD-1', 'order': 3, 'powers': [40, 1], 'representative': 2618, 'size': 144}
    • id: 160483248
      {'aut_label': '4A', 'centralizer': '1458.C', 'counter': 42, 'group_counter': 192, 'group_order': 34992, 'label': '4A', 'order': 4, 'powers': [3, 42], 'representative': 5412, 'size': 1458}
    • id: 160483249
      {'aut_label': '4B', 'centralizer': '2916.H', 'counter': 43, 'group_counter': 192, 'group_order': 34992, 'label': '4B', 'order': 4, 'powers': [3, 43], 'representative': 13155, 'size': 2916}
    • id: 160483250
      {'aut_label': '6A', 'centralizer': '216.A', 'counter': 44, 'group_counter': 192, 'group_order': 34992, 'label': '6A', 'order': 6, 'powers': [4, 2], 'representative': 9381, 'size': 216}
    • id: 160483251
      {'aut_label': '6A', 'centralizer': '216.A', 'counter': 45, 'group_counter': 192, 'group_order': 34992, 'label': '6B', 'order': 6, 'powers': [5, 2], 'representative': 19017, 'size': 216}
    • id: 160483252
      {'aut_label': '6C', 'centralizer': '216.A', 'counter': 46, 'group_counter': 192, 'group_order': 34992, 'label': '6C', 'order': 6, 'powers': [6, 2], 'representative': 34005, 'size': 216}
    • id: 160483253
      {'aut_label': '6D', 'centralizer': '216.A', 'counter': 47, 'group_counter': 192, 'group_order': 34992, 'label': '6D', 'order': 6, 'powers': [7, 2], 'representative': 25905, 'size': 216}
    • id: 160483254
      {'aut_label': '6E1', 'centralizer': '324.H', 'counter': 48, 'group_counter': 192, 'group_order': 34992, 'label': '6E1', 'order': 6, 'powers': [9, 2], 'representative': 4903, 'size': 324}
    • id: 160483255
      {'aut_label': '6E1', 'centralizer': '324.H', 'counter': 49, 'group_counter': 192, 'group_order': 34992, 'label': '6E-1', 'order': 6, 'powers': [8, 2], 'representative': 9467, 'size': 324}
    • id: 160483257
      {'aut_label': '6F', 'centralizer': '648.B', 'counter': 50, 'group_counter': 192, 'group_order': 34992, 'label': '6F', 'order': 6, 'powers': [13, 2], 'representative': 29913, 'size': 648}
    • id: 160483258
      {'aut_label': '6F', 'centralizer': '648.B', 'counter': 51, 'group_counter': 192, 'group_order': 34992, 'label': '6G', 'order': 6, 'powers': [14, 2], 'representative': 26709, 'size': 648}
    • id: 160483259
      {'aut_label': '6H', 'centralizer': '648.B', 'counter': 52, 'group_counter': 192, 'group_order': 34992, 'label': '6H', 'order': 6, 'powers': [15, 2], 'representative': 17037, 'size': 648}
    • id: 160483260
      {'aut_label': '6I1', 'centralizer': '648.C', 'counter': 53, 'group_counter': 192, 'group_order': 34992, 'label': '6I1', 'order': 6, 'powers': [28, 2], 'representative': 107, 'size': 648}
    • id: 160483261
      {'aut_label': '6I1', 'centralizer': '648.C', 'counter': 54, 'group_counter': 192, 'group_order': 34992, 'label': '6I-1', 'order': 6, 'powers': [29, 2], 'representative': 31831, 'size': 648}
    • id: 160483262
      {'aut_label': '6J1', 'centralizer': '648.C', 'counter': 55, 'group_counter': 192, 'group_order': 34992, 'label': '6J1', 'order': 6, 'powers': [30, 2], 'representative': 18403, 'size': 648}
    • id: 160483263
      {'aut_label': '6J1', 'centralizer': '648.C', 'counter': 56, 'group_counter': 192, 'group_order': 34992, 'label': '6J-1', 'order': 6, 'powers': [31, 2], 'representative': 11255, 'size': 648}
    • id: 160483264
      {'aut_label': '6K1', 'centralizer': '648.A', 'counter': 57, 'group_counter': 192, 'group_order': 34992, 'label': '6K1', 'order': 6, 'powers': [32, 2], 'representative': 15955, 'size': 648}
    • id: 160483265
      {'aut_label': '6K1', 'centralizer': '648.A', 'counter': 58, 'group_counter': 192, 'group_order': 34992, 'label': '6K-1', 'order': 6, 'powers': [33, 2], 'representative': 5831, 'size': 648}
    • id: 160483266
      {'aut_label': '6I1', 'centralizer': '648.C', 'counter': 59, 'group_counter': 192, 'group_order': 34992, 'label': '6L1', 'order': 6, 'powers': [34, 2], 'representative': 12851, 'size': 648}
    • id: 160483268
      {'aut_label': '6I1', 'centralizer': '648.C', 'counter': 60, 'group_counter': 192, 'group_order': 34992, 'label': '6L-1', 'order': 6, 'powers': [35, 2], 'representative': 21055, 'size': 648}
    • id: 160483269
      {'aut_label': '6M1', 'centralizer': '729.a1', 'counter': 61, 'group_counter': 192, 'group_order': 34992, 'label': '6M1', 'order': 6, 'powers': [8, 3], 'representative': 11042, 'size': 729}
    • id: 160483270
      {'aut_label': '6M1', 'centralizer': '729.a1', 'counter': 62, 'group_counter': 192, 'group_order': 34992, 'label': '6M-1', 'order': 6, 'powers': [9, 3], 'representative': 19900, 'size': 729}
    • id: 160483271
      {'aut_label': '8A1', 'centralizer': '1458.C', 'counter': 63, 'group_counter': 192, 'group_order': 34992, 'label': '8A1', 'order': 8, 'powers': [42, 63], 'representative': 32082, 'size': 1458}
    • id: 160483272
      {'aut_label': '8A-1', 'centralizer': '1458.C', 'counter': 64, 'group_counter': 192, 'group_order': 34992, 'label': '8A-1', 'order': 8, 'powers': [42, 64], 'representative': 20334, 'size': 1458}
    • id: 160483273
      {'aut_label': '12A1', 'centralizer': '1458.C', 'counter': 65, 'group_counter': 192, 'group_order': 34992, 'label': '12A1', 'order': 12, 'powers': [61, 42], 'representative': 32704, 'size': 1458}
    • id: 160483274
      {'aut_label': '12A1', 'centralizer': '1458.C', 'counter': 66, 'group_counter': 192, 'group_order': 34992, 'label': '12A-1', 'order': 12, 'powers': [62, 42], 'representative': 6158, 'size': 1458}
    • id: 160483275
      {'aut_label': '12B1', 'centralizer': '2916.H', 'counter': 67, 'group_counter': 192, 'group_order': 34992, 'label': '12B1', 'order': 12, 'powers': [61, 43], 'representative': 145, 'size': 2916}
    • id: 160483276
      {'aut_label': '12B1', 'centralizer': '2916.H', 'counter': 68, 'group_counter': 192, 'group_order': 34992, 'label': '12B-1', 'order': 12, 'powers': [62, 43], 'representative': 10637, 'size': 2916}
    • id: 160483277
      {'aut_label': '24A1', 'centralizer': '1458.C', 'counter': 69, 'group_counter': 192, 'group_order': 34992, 'label': '24A1', 'order': 24, 'powers': [65, 63], 'representative': 24272, 'size': 1458}
    • id: 160483279
      {'aut_label': '24A-1', 'centralizer': '1458.C', 'counter': 70, 'group_counter': 192, 'group_order': 34992, 'label': '24A-1', 'order': 24, 'powers': [66, 64], 'representative': 16798, 'size': 1458}
    • id: 160483280
      {'aut_label': '24A-1', 'centralizer': '1458.C', 'counter': 71, 'group_counter': 192, 'group_order': 34992, 'label': '24A7', 'order': 24, 'powers': [65, 64], 'representative': 28244, 'size': 1458}
    • id: 160483281
      {'aut_label': '24A1', 'centralizer': '1458.C', 'counter': 72, 'group_counter': 192, 'group_order': 34992, 'label': '24A-7', 'order': 24, 'powers': [66, 63], 'representative': 32506, 'size': 1458}
  • gps_qchar • Show schema
    • id: 15774885
      {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.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], 'schur_index': 1}
    • id: 15774896
      {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.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], 'schur_index': 1}
    • id: 15774907
      {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.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], 'schur_index': 1}
    • id: 15774918
      {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.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], 'schur_index': 1}
    • id: 15774929
      {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [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, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
    • id: 15774933
      {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.1f', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [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, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -2, -2, -2, -2, -2, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 2, 2, -1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
    • id: 15774934
      {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.1g', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [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, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -2, -2, -2, -2, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -2, -2, -1, -1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
    • id: 15774935
      {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.1h', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [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, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -2, 2, 2, 2, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -1, -1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
    • id: 15774936
      {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774886
      {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.2b', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, 0, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774887
      {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.2c', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 0, 4, 4, 4, 4, 4, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774888
      {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.2d', 'multiplicity': 4, 'nt': [24, 41], 'qdim': 8, 'qvalues': [8, 0, -8, 8, 8, 8, 8, -4, -4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774889
      {'cdim': 8, 'counter': 13, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8a', 'multiplicity': 1, 'nt': [9, 19], 'qdim': 8, 'qvalues': [8, 2, 0, -1, -1, -1, 8, 8, 8, -1, -1, -1, -1, -1, 8, -1, -1, -1, -1, -1, -1, -1, -1, 8, -1, -1, -1, -1, -1, 8, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774890
      {'cdim': 8, 'counter': 14, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8b', 'multiplicity': 1, 'nt': [9, 19], 'qdim': 8, 'qvalues': [8, 2, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 8, 8, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774891
      {'cdim': 8, 'counter': 15, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8c', 'multiplicity': 1, 'nt': [12, 212], 'qdim': 8, 'qvalues': [8, 2, 0, -1, -1, -1, 8, 8, 8, -1, -1, -1, 2, 5, -1, -4, 2, 2, -1, -1, -4, -1, -4, -1, 2, 2, 5, 5, 5, -1, -1, -1, -1, 2, 2, -4, -4, 2, 2, -1, -1, 0, 0, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774892
      {'cdim': 8, 'counter': 16, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8d', 'multiplicity': 1, 'nt': [12, 212], 'qdim': 8, 'qvalues': [8, 2, 0, -1, -1, -1, 8, 8, 8, -1, -1, -1, 5, 2, -1, 2, 5, -4, -1, -1, 2, -1, 2, -1, -4, -4, 2, 2, 2, -1, -1, -1, -1, 5, 5, 2, 2, -4, -4, -1, -1, 0, 0, -1, -1, -1, 2, 2, 2, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774893
      {'cdim': 8, 'counter': 17, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8e', 'multiplicity': 1, 'nt': [18, 68], 'qdim': 8, 'qvalues': [8, -2, 0, -1, -1, -1, 8, 8, 8, -1, -1, -1, -1, -1, 8, -1, -1, -1, -1, -1, -1, -1, -1, 8, -1, -1, -1, -1, -1, 8, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 1, 1, 1, -2, -2, -2, 1, 1, -2, 1, 1, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774894
      {'cdim': 8, 'counter': 18, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8f', 'multiplicity': 1, 'nt': [18, 68], 'qdim': 8, 'qvalues': [8, -2, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 8, 8, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774895
      {'cdim': 8, 'counter': 19, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8g', 'multiplicity': 1, 'nt': [24, 2890], 'qdim': 8, 'qvalues': [8, -2, 0, -1, -1, -1, 8, 8, 8, -1, -1, -1, 2, 5, -1, -4, 2, 2, -1, -1, -4, -1, -4, -1, 2, 2, 5, 5, 5, -1, -1, -1, -1, 2, 2, -4, -4, 2, 2, -1, -1, 0, 0, 1, 1, 1, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774897
      {'cdim': 8, 'counter': 20, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8h', 'multiplicity': 1, 'nt': [24, 2890], 'qdim': 8, 'qvalues': [8, -2, 0, -1, -1, -1, 8, 8, 8, -1, -1, -1, 5, 2, -1, 2, 5, -4, -1, -1, 2, -1, 2, -1, -4, -4, 2, 2, 2, -1, -1, -1, -1, 5, 5, 2, 2, -4, -4, -1, -1, 0, 0, 1, 1, 1, -2, -2, -2, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774898
      {'cdim': 8, 'counter': 21, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8i', 'multiplicity': 2, 'nt': [24, 1330], 'qdim': 16, 'qvalues': [16, 4, 0, -2, -2, -2, 16, -8, -8, -2, -2, -2, -2, -2, 16, -2, -2, -2, -2, -2, -2, -2, -2, 16, -2, -2, -2, 1, 1, -8, -8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, -2, -2, -2, 4, -2, -2, -2, -2, 4, 1, 1, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774899
      {'cdim': 8, 'counter': 22, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8j', 'multiplicity': 2, 'nt': [24, 1330], 'qdim': 16, 'qvalues': [16, 4, 0, 16, 16, 16, 16, -8, -8, 16, 16, 16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, -8, -8, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 4, -2, -2, -2, -2, -2, 1, 1, 1, 1, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774900
      {'cdim': 8, 'counter': 23, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8k', 'multiplicity': 2, 'nt': [24, 7279], 'qdim': 16, 'qvalues': [16, 4, 0, -2, -2, -2, 16, -8, -8, -2, -2, -2, 4, 10, -2, -8, 4, 4, -2, -2, -8, -2, -8, -2, 4, 4, 10, -5, -5, 1, 1, 1, 1, -2, -2, 4, 4, -2, -2, 1, 1, 0, 0, -2, -2, -2, 4, -2, -2, 4, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774901
      {'cdim': 8, 'counter': 24, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8l', 'multiplicity': 2, 'nt': [24, 7279], 'qdim': 16, 'qvalues': [16, 4, 0, -2, -2, -2, 16, -8, -8, -2, -2, -2, 10, 4, -2, 4, 10, -8, -2, -2, 4, -2, 4, -2, -8, -8, 4, -2, -2, 1, 1, 1, 1, -5, -5, -2, -2, 4, 4, 1, 1, 0, 0, -2, -2, -2, 4, -2, -2, -2, 4, -2, -2, -2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774902
      {'cdim': 8, 'counter': 25, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8m', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -4, 0, -2, -2, -2, 16, -8, -8, -2, -2, -2, -2, -2, 16, -2, -2, -2, -2, -2, -2, -2, -2, 16, -2, -2, -2, 1, 1, -8, -8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, -4, 2, 2, 2, 2, -4, -1, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774903
      {'cdim': 8, 'counter': 26, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8n', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -4, 0, -2, -2, -2, 16, -8, -8, -2, -2, -2, 4, 10, -2, -8, 4, 4, -2, -2, -8, -2, -8, -2, 4, 4, 10, -5, -5, 1, 1, 1, 1, -2, -2, 4, 4, -2, -2, 1, 1, 0, 0, 2, 2, 2, -4, 2, 2, -4, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774904
      {'cdim': 8, 'counter': 27, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8o', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -4, 0, -2, -2, -2, 16, -8, -8, -2, -2, -2, 10, 4, -2, 4, 10, -8, -2, -2, 4, -2, 4, -2, -8, -8, 4, -2, -2, 1, 1, 1, 1, -5, -5, -2, -2, 4, 4, 1, 1, 0, 0, 2, 2, 2, -4, 2, 2, 2, -4, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774905
      {'cdim': 8, 'counter': 28, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.8p', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -4, 0, 16, 16, 16, 16, -8, -8, 16, 16, 16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, -8, -8, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, -4, -4, -4, -4, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774906
      {'cdim': 16, 'counter': 29, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.16a', 'multiplicity': 1, 'nt': [18, 318], 'qdim': 16, 'qvalues': [16, 0, 0, -2, -2, -2, 16, 16, 16, -2, -2, -2, -2, -2, -2, -2, -2, -2, 7, 7, -2, 7, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774908
      {'cdim': 16, 'counter': 30, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.16b', 'multiplicity': 1, 'nt': [24, 2932], 'qdim': 16, 'qvalues': [16, 0, 0, -2, -2, -2, 16, 16, 16, -2, -2, -2, -8, 4, -2, 4, -8, 1, -2, -2, 4, -2, 4, -2, 1, 1, 4, 4, 4, -2, -2, -2, -2, -8, -8, 4, 4, 1, 1, -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], 'schur_index': 1}
    • id: 15774909
      {'cdim': 16, 'counter': 31, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.16c', 'multiplicity': 1, 'nt': [24, 2932], 'qdim': 16, 'qvalues': [16, 0, 0, -2, -2, -2, 16, 16, 16, -2, -2, -2, 4, -8, -2, 1, 4, 4, -2, -2, 1, -2, 1, -2, 4, 4, -8, -8, -8, -2, -2, -2, -2, 4, 4, 1, 1, 4, 4, -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], 'schur_index': 1}
    • id: 15774913
      {'cdim': 24, 'counter': 35, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.24a', 'multiplicity': 1, 'nt': [27, 542], 'qdim': 24, 'qvalues': [24, 6, 0, -3, -3, 24, -3, 0, 0, -3, -3, -3, 6, 6, 6, -3, -3, -3, -3, -3, 6, 6, -3, -3, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774914
      {'cdim': 24, 'counter': 36, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.24b', 'multiplicity': 1, 'nt': [36, 13980], 'qdim': 24, 'qvalues': [24, 6, 0, 6, 15, -3, -3, 0, 0, -3, 6, -12, 6, 6, 6, 6, -3, -3, -3, 6, -3, -3, -3, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774915
      {'cdim': 24, 'counter': 37, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.24c', 'multiplicity': 1, 'nt': [36, 13980], 'qdim': 24, 'qvalues': [24, 6, 0, 15, 6, -3, -3, 0, 0, -3, -12, 6, 6, 6, 6, -3, -3, 6, 6, -3, -3, -3, 6, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774916
      {'cdim': 24, 'counter': 38, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.24d', 'multiplicity': 1, 'nt': [54, 0], 'qdim': 24, 'qvalues': [24, -6, 0, -3, -3, 24, -3, 0, 0, -3, -3, -3, 6, 6, 6, -3, -3, -3, -3, -3, 6, 6, -3, -3, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774917
      {'cdim': 24, 'counter': 39, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.24e', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 24, 'qvalues': [24, -6, 0, 6, 15, -3, -3, 0, 0, -3, 6, -12, 6, 6, 6, 6, -3, -3, -3, 6, -3, -3, -3, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774919
      {'cdim': 24, 'counter': 40, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.24f', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 24, 'qvalues': [24, -6, 0, 15, 6, -3, -3, 0, 0, -3, -12, 6, 6, 6, 6, -3, -3, 6, 6, -3, -3, -3, 6, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774910
      {'cdim': 16, 'counter': 32, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.16d', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 32, 'qvalues': [32, 0, 0, -4, -4, -4, 32, -16, -16, -4, -4, -4, -16, 8, -4, 8, -16, 2, -4, -4, 8, -4, 8, -4, 2, 2, 8, -4, -4, 2, 2, 2, 2, 8, 8, -4, -4, -1, -1, 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], 'schur_index': 1}
    • id: 15774911
      {'cdim': 16, 'counter': 33, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.16e', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 32, 'qvalues': [32, 0, 0, -4, -4, -4, 32, -16, -16, -4, -4, -4, -4, -4, -4, -4, -4, -4, 14, 14, -4, 14, -4, -4, -4, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -7, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774912
      {'cdim': 16, 'counter': 34, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.16f', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 32, 'qvalues': [32, 0, 0, -4, -4, -4, 32, -16, -16, -4, -4, -4, 8, -16, -4, 2, 8, 8, -4, -4, 2, -4, 2, -4, 8, 8, -16, 8, 8, 2, 2, 2, 2, -4, -4, -1, -1, -4, -4, 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], 'schur_index': 1}
    • id: 15774920
      {'cdim': 48, 'counter': 41, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48a', 'multiplicity': 1, 'nt': [54, 0], 'qdim': 48, 'qvalues': [48, 0, 0, -6, -6, -6, -6, 0, 0, 21, -6, -6, -6, -6, 12, 3, 3, 3, -6, -6, -6, 12, 3, -6, -6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774921
      {'cdim': 48, 'counter': 42, 'faithful': False, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48b', 'multiplicity': 1, 'nt': [54, 0], 'qdim': 48, 'qvalues': [48, 0, 0, -6, -6, 48, -6, 0, 0, -6, -6, -6, -6, -6, -6, 3, 3, 3, 3, 3, -6, -6, 3, 3, -6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774922
      {'cdim': 48, 'counter': 43, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48c', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, -24, 12, -6, -6, 0, 0, -6, 3, 12, -6, -6, 12, 3, 3, -6, 12, -6, 3, -6, -6, -6, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774923
      {'cdim': 48, 'counter': 44, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48d', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, -24, 12, -6, -6, 0, 0, -6, 3, 12, -6, 12, -6, -6, 3, -6, -6, 3, -6, 3, 12, 3, 3, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774924
      {'cdim': 48, 'counter': 45, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48e', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, -24, 12, -6, -6, 0, 0, -6, 3, 12, 12, -6, -6, 3, -6, 12, -6, 3, 3, 3, -6, 3, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774925
      {'cdim': 48, 'counter': 46, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48f', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, -6, -6, -6, -6, 0, 0, 21, -6, -6, -6, 12, -6, -6, 3, 3, 3, 3, 12, -6, -6, 3, -6, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774926
      {'cdim': 48, 'counter': 47, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48g', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, -6, -6, -6, -6, 0, 0, 21, -6, -6, 12, -6, -6, 3, -6, -6, 3, 3, -6, -6, 3, 3, 12, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774927
      {'cdim': 48, 'counter': 48, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48h', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, 12, -24, -6, -6, 0, 0, -6, 12, 3, -6, -6, 12, -6, 3, 3, -6, 12, 3, -6, 3, -6, 3, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774928
      {'cdim': 48, 'counter': 49, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48i', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, 12, -24, -6, -6, 0, 0, -6, 12, 3, -6, 12, -6, 12, 3, 3, 3, -6, -6, 3, -6, 3, 3, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774930
      {'cdim': 48, 'counter': 50, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48j', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, 12, -24, -6, -6, 0, 0, -6, 12, 3, 12, -6, -6, -6, -6, -6, 3, -6, 3, 3, 3, 3, -6, 12, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774931
      {'cdim': 48, 'counter': 51, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48k', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, 12, 30, -6, -6, 0, 0, -6, 12, -24, -6, -6, -6, -6, 3, 3, 3, -6, 3, 3, 3, 3, 3, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
    • id: 15774932
      {'cdim': 48, 'counter': 52, 'faithful': True, 'group': '34992.hj', 'group_order': 34992, 'image': None, 'label': '34992.hj.48l', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 48, 'qvalues': [48, 0, 0, 30, 12, -6, -6, 0, 0, -6, -24, 12, -6, -6, -6, 3, 3, -6, -6, 3, 3, 3, -6, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • gps_char • Show schema
    • id: 35747089
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': None, 'kernel_order': 34992, 'label': '34992.hj.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]]]}
    • id: 35747100
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 17496, 'label': '34992.hj.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
    • id: 35747111
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 17496, 'label': '34992.hj.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]]]}
    • id: 35747122
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 17496, 'label': '34992.hj.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]]]}
    • id: 35747133
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': None, 'kernel_order': 11664, 'label': '34992.hj.1e1', 'nt': [3, 1], 'q_character': None, 'values': [[[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, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[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, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]]]}
    • id: 35747144
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': None, 'kernel_order': 11664, 'label': '34992.hj.1e2', 'nt': [3, 2], 'q_character': None, 'values': [[[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, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[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, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]]]}
    • id: 35747155
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 7, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': None, 'kernel_order': 5832, 'label': '34992.hj.1f1', 'nt': [6, 1], 'q_character': None, 'values': [[[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, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-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, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]]]}
    • id: 35747159
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 8, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': None, 'kernel_order': 5832, 'label': '34992.hj.1f2', 'nt': [6, 2], 'q_character': None, 'values': [[[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, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-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, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]]]}
    • id: 35747160
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 9, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': None, 'kernel_order': 5832, 'label': '34992.hj.1g1', 'nt': [6, 1], 'q_character': None, 'values': [[[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, 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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-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, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
    • id: 35747090
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 10, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': None, 'kernel_order': 5832, 'label': '34992.hj.1g2', 'nt': [6, 2], 'q_character': None, 'values': [[[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, 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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-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, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
    • id: 35747091
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 11, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': None, 'kernel_order': 5832, 'label': '34992.hj.1h1', 'nt': [6, 1], 'q_character': None, 'values': [[[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, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[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, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
    • id: 35747092
      {'center': None, 'center_index': 1, 'center_order': 34992, 'counter': 12, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': None, 'kernel_order': 5832, 'label': '34992.hj.1h2', 'nt': [6, 2], 'q_character': None, 'values': [[[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, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[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, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
    • id: 35747093
      {'center': None, 'center_index': 4, 'center_order': 8748, 'counter': 13, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': None, 'kernel_order': 4374, 'label': '34992.hj.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747094
      {'center': None, 'center_index': 8, 'center_order': 4374, 'counter': 14, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': None, 'kernel_order': 2187, 'label': '34992.hj.2b1', 'nt': [8, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]]]}
    • id: 35747095
      {'center': None, 'center_index': 8, 'center_order': 4374, 'counter': 15, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': None, 'kernel_order': 2187, 'label': '34992.hj.2b2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]]]}
    • id: 35747096
      {'center': None, 'center_index': 4, 'center_order': 8748, 'counter': 16, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': None, 'kernel_order': 1458, 'label': '34992.hj.2c1', 'nt': [12, 14], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747097
      {'center': None, 'center_index': 4, 'center_order': 8748, 'counter': 17, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': None, 'kernel_order': 1458, 'label': '34992.hj.2c2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747098
      {'center': None, 'center_index': 8, 'center_order': 4374, 'counter': 18, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, -2, 0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '48.26', 'image_order': 48, 'indicator': 0, 'kernel': None, 'kernel_order': 729, 'label': '34992.hj.2d1', 'nt': [24, 41], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, 5], [-1, 7]], [[1, 1], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 1], [1, 7]]]}
    • id: 35747099
      {'center': None, 'center_index': 8, 'center_order': 4374, 'counter': 19, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, -2, 0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '48.26', 'image_order': 48, 'indicator': 0, 'kernel': None, 'kernel_order': 729, 'label': '34992.hj.2d2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 1], [1, 7]], [[-1, 3], [-1, 5], [1, 7]]]}
    • id: 35747101
      {'center': None, 'center_index': 8, 'center_order': 4374, 'counter': 20, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, -2, 0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '48.26', 'image_order': 48, 'indicator': 0, 'kernel': None, 'kernel_order': 729, 'label': '34992.hj.2d3', 'nt': [24, 41], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 1], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 1], [-1, 7]]]}
    • id: 35747102
      {'center': None, 'center_index': 8, 'center_order': 4374, 'counter': 21, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, -2, 0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '48.26', 'image_order': 48, 'indicator': 0, 'kernel': None, 'kernel_order': 729, 'label': '34992.hj.2d4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 1], [-1, 7]], [[1, 3], [1, 5], [-1, 7]]]}
    • id: 35747103
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 22, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '144.182', 'image_order': 144, 'indicator': 1, 'kernel': None, 'kernel_order': 243, 'label': '34992.hj.8a', 'nt': [9, 19], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747104
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 23, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '144.182', 'image_order': 144, 'indicator': 1, 'kernel': None, 'kernel_order': 243, 'label': '34992.hj.8b', 'nt': [9, 19], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747105
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 24, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '1296.3522', 'image_order': 1296, 'indicator': 1, 'kernel': None, 'kernel_order': 27, 'label': '34992.hj.8c', 'nt': [12, 212], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-1, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747106
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 25, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '1296.3522', 'image_order': 1296, 'indicator': 1, 'kernel': None, 'kernel_order': 27, 'label': '34992.hj.8d', 'nt': [12, 212], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[5, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747107
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 26, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '144.182', 'image_order': 144, 'indicator': 1, 'kernel': None, 'kernel_order': 243, 'label': '34992.hj.8e', 'nt': [18, 68], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747108
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 27, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '144.182', 'image_order': 144, 'indicator': 1, 'kernel': None, 'kernel_order': 243, 'label': '34992.hj.8f', 'nt': [18, 68], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747109
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 28, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '1296.3522', 'image_order': 1296, 'indicator': 1, 'kernel': None, 'kernel_order': 27, 'label': '34992.hj.8g', 'nt': [24, 2890], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-1, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747110
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 29, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '1296.3522', 'image_order': 1296, 'indicator': 1, 'kernel': None, 'kernel_order': 27, 'label': '34992.hj.8h', 'nt': [24, 2890], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[5, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747112
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 30, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '432.737', 'image_order': 432, 'indicator': 0, 'kernel': None, 'kernel_order': 81, 'label': '34992.hj.8i1', 'nt': [24, 1330], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, -1]], [[8, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[8, 1]], [[8, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747113
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 31, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '432.737', 'image_order': 432, 'indicator': 0, 'kernel': None, 'kernel_order': 81, 'label': '34992.hj.8i2', 'nt': [24, 2], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 1]], [[8, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[8, -1]], [[8, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747114
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 32, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '432.737', 'image_order': 432, 'indicator': 0, 'kernel': None, 'kernel_order': 81, 'label': '34992.hj.8j1', 'nt': [24, 1330], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, -1]], [[8, 1]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[8, 1]], [[8, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747115
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 33, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '432.737', 'image_order': 432, 'indicator': 0, 'kernel': None, 'kernel_order': 81, 'label': '34992.hj.8j2', 'nt': [24, 2], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 1]], [[8, -1]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[8, -1]], [[8, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747116
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 34, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.8k1', 'nt': [24, 7279], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, -1]], [[8, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-1, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[5, 0]], [[5, -1]], [[5, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[-4, 1]], [[-4, -1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747117
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 35, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.8k2', 'nt': [24, 2], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 1]], [[8, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-1, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[5, 0]], [[5, 1]], [[5, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[-4, -1]], [[-4, 1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747118
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 36, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.8l1', 'nt': [24, 7279], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, -1]], [[8, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[5, -1]], [[5, 1]], [[2, 1]], [[2, -1]], [[-4, -1]], [[-4, 1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747119
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 37, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.8l2', 'nt': [24, 2], 'q_character': None, 'values': [[[8, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 1]], [[8, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[5, 1]], [[5, -1]], [[2, -1]], [[2, 1]], [[-4, 1]], [[-4, -1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747120
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 38, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '432.737', 'image_order': 432, 'indicator': 0, 'kernel': None, 'kernel_order': 81, 'label': '34992.hj.8m1', 'nt': [48, 0], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, -1]], [[8, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[8, 1]], [[8, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 1]], [[1, -1]], [[-2, -1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747121
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 39, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '432.737', 'image_order': 432, 'indicator': 0, 'kernel': None, 'kernel_order': 81, 'label': '34992.hj.8m2', 'nt': [48, 2], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 1]], [[8, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[8, -1]], [[8, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, -1]], [[1, 1]], [[-2, 1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747123
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 40, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.8n1', 'nt': [48, 0], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, -1]], [[8, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-1, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[5, 0]], [[5, -1]], [[5, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[-4, 1]], [[-4, -1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747124
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 41, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.8n2', 'nt': [48, 2], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 1]], [[8, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-1, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[5, 0]], [[5, 1]], [[5, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[-4, -1]], [[-4, 1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747125
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 42, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.8o1', 'nt': [48, 0], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, -1]], [[8, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[5, -1]], [[5, 1]], [[2, 1]], [[2, -1]], [[-4, -1]], [[-4, 1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 1]], [[-2, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747126
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 43, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.8o2', 'nt': [48, 2], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[8, 1]], [[8, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[5, 1]], [[5, -1]], [[2, -1]], [[2, 1]], [[-4, 1]], [[-4, -1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, -1]], [[-2, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747127
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 44, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '432.737', 'image_order': 432, 'indicator': 0, 'kernel': None, 'kernel_order': 81, 'label': '34992.hj.8p1', 'nt': [48, 0], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, -1]], [[8, 1]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[8, 1]], [[8, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[-2, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747128
      {'center': None, 'center_index': 144, 'center_order': 243, 'counter': 45, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '432.737', 'image_order': 432, 'indicator': 0, 'kernel': None, 'kernel_order': 81, 'label': '34992.hj.8p2', 'nt': [48, 2], 'q_character': None, 'values': [[[8, 0]], [[-2, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 1]], [[8, -1]], [[8, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[8, -1]], [[8, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[-2, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747129
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 46, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '1296.3522', 'image_order': 1296, 'indicator': 1, 'kernel': None, 'kernel_order': 27, 'label': '34992.hj.16a', 'nt': [18, 318], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[16, 0]], [[16, 0]], [[16, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[7, 0]], [[7, 0]], [[-2, 0]], [[7, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[7, 0]], [[7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747130
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 47, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '1296.3522', 'image_order': 1296, 'indicator': 1, 'kernel': None, 'kernel_order': 27, 'label': '34992.hj.16b', 'nt': [24, 2932], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[16, 0]], [[16, 0]], [[16, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-8, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-8, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-8, 0]], [[-8, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747131
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 48, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '1296.3522', 'image_order': 1296, 'indicator': 1, 'kernel': None, 'kernel_order': 27, 'label': '34992.hj.16c', 'nt': [24, 2932], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[16, 0]], [[16, 0]], [[16, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-8, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747132
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 49, 'cyclotomic_n': 3, 'dim': 16, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.16d1', 'nt': [48, 0], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[16, 0]], [[16, -1]], [[16, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-8, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-8, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[4, -1]], [[4, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-8, -1]], [[-8, 1]], [[4, 1]], [[4, -1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747134
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 50, 'cyclotomic_n': 3, 'dim': 16, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.16d2', 'nt': [48, 2], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[16, 0]], [[16, 1]], [[16, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-8, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-8, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[4, 1]], [[4, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-8, 1]], [[-8, -1]], [[4, -1]], [[4, 1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747135
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 51, 'cyclotomic_n': 3, 'dim': 16, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.16e1', 'nt': [48, 0], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[16, 0]], [[16, -1]], [[16, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[7, 0]], [[7, 0]], [[-2, 0]], [[7, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[7, -1]], [[7, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747136
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 52, 'cyclotomic_n': 3, 'dim': 16, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.16e2', 'nt': [48, 2], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[16, 0]], [[16, 1]], [[16, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[7, 0]], [[7, 0]], [[-2, 0]], [[7, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[7, 1]], [[7, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747137
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 53, 'cyclotomic_n': 3, 'dim': 16, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.16f1', 'nt': [48, 0], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[16, 0]], [[16, -1]], [[16, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-8, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-8, 0]], [[-8, -1]], [[-8, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[4, -1]], [[4, 1]], [[1, 1]], [[1, -1]], [[4, -1]], [[4, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747138
      {'center': None, 'center_index': 1296, 'center_order': 27, 'counter': 54, 'cyclotomic_n': 3, 'dim': 16, 'faithful': False, 'field': [1, -1, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 0, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.16f2', 'nt': [48, 2], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[16, 0]], [[16, 1]], [[16, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-8, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-8, 0]], [[-8, 1]], [[-8, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[4, 1]], [[4, -1]], [[1, -1]], [[1, 1]], [[4, 1]], [[4, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747139
      {'center': None, 'center_index': 3888, 'center_order': 9, 'counter': 55, 'cyclotomic_n': 1, 'dim': 24, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 1, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.24a', 'nt': [27, 542], 'q_character': None, 'values': [[[24, 0]], [[6, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[24, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747140
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 56, 'cyclotomic_n': 1, 'dim': 24, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.24b', 'nt': [36, 13980], 'q_character': None, 'values': [[[24, 0]], [[6, 0]], [[0, 0]], [[6, 0]], [[15, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[6, 0]], [[-12, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747141
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 57, 'cyclotomic_n': 1, 'dim': 24, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.24c', 'nt': [36, 13980], 'q_character': None, 'values': [[[24, 0]], [[6, 0]], [[0, 0]], [[15, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-12, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747142
      {'center': None, 'center_index': 3888, 'center_order': 9, 'counter': 58, 'cyclotomic_n': 1, 'dim': 24, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 1, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.24d', 'nt': [54, 0], 'q_character': None, 'values': [[[24, 0]], [[-6, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[24, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747143
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 59, 'cyclotomic_n': 1, 'dim': 24, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.24e', 'nt': [72, 0], 'q_character': None, 'values': [[[24, 0]], [[-6, 0]], [[0, 0]], [[6, 0]], [[15, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[6, 0]], [[-12, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747145
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 60, 'cyclotomic_n': 1, 'dim': 24, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.24f', 'nt': [72, 0], 'q_character': None, 'values': [[[24, 0]], [[-6, 0]], [[0, 0]], [[15, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-12, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747146
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 61, 'cyclotomic_n': 1, 'dim': 48, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.48a', 'nt': [54, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[21, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[12, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[12, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747147
      {'center': None, 'center_index': 3888, 'center_order': 9, 'counter': 62, 'cyclotomic_n': 1, 'dim': 48, 'faithful': False, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': None, 'image_order': 3888, 'indicator': 1, 'kernel': None, 'kernel_order': 9, 'label': '34992.hj.48b', 'nt': [54, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[48, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747148
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 63, 'cyclotomic_n': 1, 'dim': 48, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.48c', 'nt': [72, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[-24, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[3, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[12, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[12, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747149
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 64, 'cyclotomic_n': 1, 'dim': 48, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.48d', 'nt': [72, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[-24, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[3, 0]], [[12, 0]], [[-6, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[12, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747150
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 65, 'cyclotomic_n': 1, 'dim': 48, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.48e', 'nt': [72, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[-24, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[3, 0]], [[12, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[12, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747151
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 66, 'cyclotomic_n': 1, 'dim': 48, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.48f', 'nt': [72, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[21, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747152
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 67, 'cyclotomic_n': 1, 'dim': 48, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.48g', 'nt': [72, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[21, 0]], [[-6, 0]], [[-6, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[12, 0]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747153
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 68, 'cyclotomic_n': 1, 'dim': 48, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.48h', 'nt': [72, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[12, 0]], [[-24, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[12, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[12, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[12, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747154
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 69, 'cyclotomic_n': 1, 'dim': 48, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.48i', 'nt': [72, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[12, 0]], [[-24, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[12, 0]], [[3, 0]], [[-6, 0]], [[12, 0]], [[-6, 0]], [[12, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747156
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 70, 'cyclotomic_n': 1, 'dim': 48, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.48j', 'nt': [72, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[12, 0]], [[-24, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[12, 0]], [[3, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[12, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747157
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 71, 'cyclotomic_n': 1, 'dim': 48, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.48k', 'nt': [72, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[12, 0]], [[30, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[12, 0]], [[-24, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
    • id: 35747158
      {'center': None, 'center_index': 34992, 'center_order': 1, 'counter': 72, 'cyclotomic_n': 1, 'dim': 48, 'faithful': True, 'field': [0, 1], 'group': '34992.hj', 'group_counter': 192, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.hj', 'image_order': 34992, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '34992.hj.48l', 'nt': [72, 0], 'q_character': None, 'values': [[[48, 0]], [[0, 0]], [[0, 0]], [[30, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-24, 0]], [[12, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • gps_subgroup_search • Show schema
    Showing the first 100 of 3027 matching records in this table.
    • id: 202397153
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 34992, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '34992.hj.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '34992.hj', 'subgroup_hash': 3199165019903183064, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'supersolvable': False, 'sylow': 0}
    • id: 202398264
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 17496, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.2.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 794383406866177608, 'subgroup_order': 17496, 'subgroup_tex': 'C_3^6.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
    • id: 202399375
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 17496, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.2.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17496.gk', 'subgroup_hash': 4675216169102337661, 'subgroup_order': 17496, 'subgroup_tex': 'C_3^5.\\PSU(3,2)', 'supersolvable': False, 'sylow': 0}
    • id: 202399514
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 17496, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.2.C', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 586965764121700021, 'subgroup_order': 17496, 'subgroup_tex': 'C_3^6.C_{24}', 'supersolvable': False, 'sylow': 0}
    • id: 202399625
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 11664, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2057021129983316444, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^6.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
    • id: 202399736
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 8748, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.4.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7900436537566606106, 'subgroup_order': 8748, 'subgroup_tex': 'C_3^6.C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202399847
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 4374, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.4.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1907432978013210668, 'subgroup_order': 8748, 'subgroup_tex': 'C_3^6.C_6.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 202399958
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 4374, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.4.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7900436537566606106, 'subgroup_order': 8748, 'subgroup_tex': 'C_3^6.C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202400069
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 5832, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.6.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2117018362642351523, 'subgroup_order': 5832, 'subgroup_tex': 'C_3^6.D_4', 'supersolvable': False, 'sylow': 0}
    • id: 202397154
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 5832, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.6.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8308808951802383450, 'subgroup_order': 5832, 'subgroup_tex': 'C_3^6.Q_8', 'supersolvable': False, 'sylow': 0}
    • id: 202397265
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 5832, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.6.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.c1', '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': ['C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 411900616617040455, 'subgroup_order': 5832, 'subgroup_tex': 'C_3^6.C_8', 'supersolvable': False, 'sylow': 0}
    • id: 202397376
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 4374, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5596956082708510582, 'subgroup_order': 4374, 'subgroup_tex': 'C_3^6.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202397487
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 2187, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 243142607257970936, 'subgroup_order': 4374, 'subgroup_tex': 'C_3^3.\\He_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202397598
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 243, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.9.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.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': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3888.cq', 'subgroup_hash': 4633370472081473401, 'subgroup_order': 3888, 'subgroup_tex': 'C_3^5:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
    • id: 202397709
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.9.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.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': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 401516246772182357, 'subgroup_order': 3888, 'subgroup_tex': 'C_3^4.C_{12}.C_2^2', 'supersolvable': False, 'sylow': 0}
    • id: 202397820
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 2916, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.12.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': ['D', 'L1', 'D1', 'C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6218027514413146265, 'subgroup_order': 2916, 'subgroup_tex': 'C_3^6.C_4', 'supersolvable': False, 'sylow': 0}
    • id: 202397931
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.12.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4381879843765720842, 'subgroup_order': 2916, 'subgroup_tex': 'C_3^5.C_6.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 202398042
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.12.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4381879843765720842, 'subgroup_order': 2916, 'subgroup_tex': 'C_3^5.C_6.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 202398153
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.12.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6045963717475089303, 'subgroup_order': 2916, 'subgroup_tex': 'C_3^5.C_6.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 202398265
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1458, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.12.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8908903677108408947, 'subgroup_order': 2916, 'subgroup_tex': 'C_3^5.D_6', 'supersolvable': True, 'sylow': 0}
    • id: 202398376
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1458, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.12.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6218027514413146265, 'subgroup_order': 2916, 'subgroup_tex': 'C_3^6.C_4', 'supersolvable': False, 'sylow': 0}
    • id: 202398487
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': True, 'core_order': 2187, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '34992.hj.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2187.9106', 'subgroup_hash': 5920808883286947445, 'subgroup_order': 2187, 'subgroup_tex': 'C_3^2\\times C_3^4:C_3', 'supersolvable': True, 'sylow': 3}
    • id: 202398598
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 243, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.18.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.3920', 'subgroup_hash': 3920, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^5:D_4', 'supersolvable': False, 'sylow': 0}
    • id: 202398709
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.18.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.2314', 'subgroup_hash': 2314, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^3:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
    • id: 202398820
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.18.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.2314', 'subgroup_hash': 2314, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^3:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
    • id: 202398931
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 243, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.18.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.3930', 'subgroup_hash': 3930, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^5:Q_8', 'supersolvable': False, 'sylow': 0}
    • id: 202399042
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 243, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.18.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.3889', 'subgroup_hash': 3889, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^4:C_{24}', 'supersolvable': False, 'sylow': 0}
    • id: 202399153
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.18.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.2330', 'subgroup_hash': 2330, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^3:\\PSU(3,2)', 'supersolvable': False, 'sylow': 0}
    • id: 202399264
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.18.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.2298', 'subgroup_hash': 2298, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^4:C_{24}', 'supersolvable': False, 'sylow': 0}
    • id: 202399376
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.18.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.2330', 'subgroup_hash': 2330, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^3:\\PSU(3,2)', 'supersolvable': False, 'sylow': 0}
    • id: 202399415
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 1458, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1795', 'subgroup_hash': 1795, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:S_3', 'supersolvable': True, 'sylow': 0}
    • id: 202399426
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 243, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1462', 'subgroup_hash': 1462, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399437
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1462', 'subgroup_hash': 1462, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399448
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 243, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1754', 'subgroup_hash': 1754, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399459
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 243, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1464', 'subgroup_hash': 1464, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399470
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1464', 'subgroup_hash': 1464, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399481
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 81, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1464', 'subgroup_hash': 1464, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399492
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 9, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1464', 'subgroup_hash': 1464, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399503
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 243, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1756', 'subgroup_hash': 1756, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399515
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 81, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1756', 'subgroup_hash': 1756, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399526
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 729, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1798', 'subgroup_hash': 1798, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
    • id: 202399537
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1465', 'subgroup_hash': 1465, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399548
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1465', 'subgroup_hash': 1465, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399559
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1465', 'subgroup_hash': 1465, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399570
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1465', 'subgroup_hash': 1465, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399581
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.24.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1758', 'subgroup_hash': 1758, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:C_6', 'supersolvable': True, 'sylow': 0}
    • id: 202399592
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 81, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.27.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.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': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1296.3522', 'subgroup_hash': 3522, 'subgroup_order': 1296, 'subgroup_tex': 'C_3^4:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
    • id: 202399603
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 9, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.27.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.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': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1296.3522', 'subgroup_hash': 3522, 'subgroup_order': 1296, 'subgroup_tex': 'C_3^4:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
    • id: 202399614
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 81, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.27.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.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': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1296.3521', 'subgroup_hash': 3521, 'subgroup_order': 1296, 'subgroup_tex': 'C_3^4:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
    • id: 202399626
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.788', 'subgroup_hash': 788, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399637
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.788', 'subgroup_hash': 788, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399648
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 243, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.888', 'subgroup_hash': 888, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399659
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.427', 'subgroup_hash': 427, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399670
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.427', 'subgroup_hash': 427, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399681
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.427', 'subgroup_hash': 427, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399692
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.427', 'subgroup_hash': 427, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399703
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.789', 'subgroup_hash': 789, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399714
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 9, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.789', 'subgroup_hash': 789, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399725
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.789', 'subgroup_hash': 789, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399737
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 81, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.891', 'subgroup_hash': 891, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399748
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 9, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.891', 'subgroup_hash': 891, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399759
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 9, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.891', 'subgroup_hash': 891, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399770
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.891', 'subgroup_hash': 891, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399781
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 81, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.891', 'subgroup_hash': 891, 'subgroup_order': 972, 'subgroup_tex': 'C_3^3:S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 202399792
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 243, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.882', 'subgroup_hash': 882, 'subgroup_order': 972, 'subgroup_tex': 'C_3^4:C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202399803
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 243, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.882', 'subgroup_hash': 882, 'subgroup_order': 972, 'subgroup_tex': 'C_3^4:C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202399814
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.406', 'subgroup_hash': 406, 'subgroup_order': 972, 'subgroup_tex': 'C_3^4:C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202399825
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.406', 'subgroup_hash': 406, 'subgroup_order': 972, 'subgroup_tex': 'C_3^4:C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202399836
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.406', 'subgroup_hash': 406, 'subgroup_order': 972, 'subgroup_tex': 'C_3^4:C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202399848
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.406', 'subgroup_hash': 406, 'subgroup_order': 972, 'subgroup_tex': 'C_3^4:C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202399859
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.406', 'subgroup_hash': 406, 'subgroup_order': 972, 'subgroup_tex': 'C_3^4:C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202399870
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.406', 'subgroup_hash': 406, 'subgroup_order': 972, 'subgroup_tex': 'C_3^4:C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202399881
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.406', 'subgroup_hash': 406, 'subgroup_order': 972, 'subgroup_tex': 'C_3^4:C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202399892
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 27, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.36.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.y1', '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': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '972.406', 'subgroup_hash': 406, 'subgroup_order': 972, 'subgroup_tex': 'C_3^4:C_{12}', 'supersolvable': False, 'sylow': 0}
    • id: 202399903
      {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 729, 'characteristic': True, 'core_order': 729, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.48.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.26', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'D2', 'C5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.504', 'subgroup_hash': 504, 'subgroup_order': 729, 'subgroup_tex': 'C_3^6', 'supersolvable': True, 'sylow': 0}
    • id: 202399914
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.48.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.425', 'subgroup_hash': 425, 'subgroup_order': 729, 'subgroup_tex': 'C_3^5:C_3', 'supersolvable': True, 'sylow': 0}
    • id: 202399925
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.48.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.425', 'subgroup_hash': 425, 'subgroup_order': 729, 'subgroup_tex': 'C_3^5:C_3', 'supersolvable': True, 'sylow': 0}
    • id: 202399936
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 243, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.48.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.425', 'subgroup_hash': 425, 'subgroup_order': 729, 'subgroup_tex': 'C_3^5:C_3', 'supersolvable': True, 'sylow': 0}
    • id: 202399947
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.48.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.425', 'subgroup_hash': 425, 'subgroup_order': 729, 'subgroup_tex': 'C_3^5:C_3', 'supersolvable': True, 'sylow': 0}
    • id: 202399959
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 9, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.48.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.425', 'subgroup_hash': 425, 'subgroup_order': 729, 'subgroup_tex': 'C_3^5:C_3', 'supersolvable': True, 'sylow': 0}
    • id: 202399970
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 9, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.48.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.425', 'subgroup_hash': 425, 'subgroup_order': 729, 'subgroup_tex': 'C_3^5:C_3', 'supersolvable': True, 'sylow': 0}
    • id: 202399981
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 81, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.48.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.425', 'subgroup_hash': 425, 'subgroup_order': 729, 'subgroup_tex': 'C_3^5:C_3', 'supersolvable': True, 'sylow': 0}
    • id: 202399992
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 9, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.48.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.425', 'subgroup_hash': 425, 'subgroup_order': 729, 'subgroup_tex': 'C_3^5:C_3', 'supersolvable': True, 'sylow': 0}
    • id: 202400003
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 243, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.48.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.498', 'subgroup_hash': 498, 'subgroup_order': 729, 'subgroup_tex': 'C_3^3\\times \\He_3', 'supersolvable': True, 'sylow': 0}
    • id: 202400014
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 81, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.48.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.498', 'subgroup_hash': 498, 'subgroup_order': 729, 'subgroup_tex': 'C_3^3\\times \\He_3', 'supersolvable': True, 'sylow': 0}
    • id: 202400025
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.725', 'subgroup_hash': 725, 'subgroup_order': 648, 'subgroup_tex': 'C_3^4:D_4', 'supersolvable': False, 'sylow': 0}
    • id: 202400036
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 81, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.725', 'subgroup_hash': 725, 'subgroup_order': 648, 'subgroup_tex': 'C_3^4:D_4', 'supersolvable': False, 'sylow': 0}
    • id: 202400047
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 9, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.725', 'subgroup_hash': 725, 'subgroup_order': 648, 'subgroup_tex': 'C_3^4:D_4', 'supersolvable': False, 'sylow': 0}
    • id: 202400058
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 9, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.725', 'subgroup_hash': 725, 'subgroup_order': 648, 'subgroup_tex': 'C_3^4:D_4', 'supersolvable': False, 'sylow': 0}
    • id: 202400070
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 81, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.725', 'subgroup_hash': 725, 'subgroup_order': 648, 'subgroup_tex': 'C_3^4:D_4', 'supersolvable': False, 'sylow': 0}
    • id: 202400081
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 81, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.730', 'subgroup_hash': 730, 'subgroup_order': 648, 'subgroup_tex': 'C_3^4:Q_8', 'supersolvable': False, 'sylow': 0}
    • id: 202400092
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 81, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.712', 'subgroup_hash': 712, 'subgroup_order': 648, 'subgroup_tex': 'C_3^2:F_9', 'supersolvable': False, 'sylow': 0}
    • id: 202400103
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 9, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.730', 'subgroup_hash': 730, 'subgroup_order': 648, 'subgroup_tex': 'C_3^4:Q_8', 'supersolvable': False, 'sylow': 0}
    • id: 202400114
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 9, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.712', 'subgroup_hash': 712, 'subgroup_order': 648, 'subgroup_tex': 'C_3^2:F_9', 'supersolvable': False, 'sylow': 0}
    • id: 202400125
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 9, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.712', 'subgroup_hash': 712, 'subgroup_order': 648, 'subgroup_tex': 'C_3^2:F_9', 'supersolvable': False, 'sylow': 0}
    • id: 202400136
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 81, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.730', 'subgroup_hash': 730, 'subgroup_order': 648, 'subgroup_tex': 'C_3^4:Q_8', 'supersolvable': False, 'sylow': 0}
    • id: 202400147
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 81, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.711', 'subgroup_hash': 711, 'subgroup_order': 648, 'subgroup_tex': 'C_3^2:F_9', 'supersolvable': False, 'sylow': 0}
    • id: 202400158
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 9, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.730', 'subgroup_hash': 730, 'subgroup_order': 648, 'subgroup_tex': 'C_3^4:Q_8', 'supersolvable': False, 'sylow': 0}
    • id: 202400169
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.54.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '648.730', 'subgroup_hash': 730, 'subgroup_order': 648, 'subgroup_tex': 'C_3^4:Q_8', 'supersolvable': False, 'sylow': 0}
    • id: 202397155
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.hj', 'ambient_counter': 192, 'ambient_order': 34992, 'ambient_tex': 'C_3^6.(C_3\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.hj.72.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '486.223', 'subgroup_hash': 223, 'subgroup_order': 486, 'subgroup_tex': 'C_3^4:C_6', 'supersolvable': True, 'sylow': 0}
  • gps_subgroup_data • Show schema
    Showing the first 100 of 3027 matching records in this table.
    • id: 202397153
      {'ambient': '34992.hj', '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': '34992.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.A', '2.B', '2.C', '3.a1', '9.A', '9.B'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 20736, 29160, 11568, 15552, 6, 17436, 21168, 19584, 11664, 18602], 'label': '34992.hj.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.A', '2.B', '2.C', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '34992.hj', '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': None}
    • id: 202397154
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '6.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.B', '3.a1'], 'contains': ['12.A', '12.F', '54.F', '54.H', '54.K', '54.M', '54.N'], 'core': '6.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 11664, 1872, 14688, 17436, 13872, 27216, 24624, 18600], 'label': '34992.hj.6.B', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.B', 'normal_contained_in': ['2.B', '3.a1'], 'normal_contains': ['12.A'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.B', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 202397155
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '72.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.BD', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.B', '24.C', '24.D', '36.H'], 'contains': ['144.Q', '216.A', '216.H', '216.I', '216.J', '216.U', '216.V', '216.W', '216.X'], 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [7353, 26976, 19584, 18602, 31536, 12960], 'label': '34992.hj.72.A', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.H', 'old_label': '72.a1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.A', 'subgroup_fusion': None, 'weyl_group': '108.38'}
    • id: 202397156
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.C', '144.E', '144.Q', '216.EM'], 'contains': ['1296.KR', '1296.KS', '1296.KW', '1296.KX', '1296.LC', '1296.LK', '1296.MP', '1296.PD', '1296.PI'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [17066, 7920, 9072], 'label': '34992.hj.432.KK', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.P', 'old_label': '432.iz1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KK', 'subgroup_fusion': None, 'weyl_group': '18.3'}
    • id: 202397157
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.D', '144.F', '144.Q', '216.EN'], 'contains': ['1296.KR', '1296.KT', '1296.KX', '1296.LF', '1296.LK', '1296.NL', '1296.PI'], 'core': '34992.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6698, 19488, 4320], 'label': '34992.hj.432.KL', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.P', 'old_label': '432.ja1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KL', 'subgroup_fusion': None, 'weyl_group': '18.3'}
    • id: 202397158
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.C', '144.E', '144.F', '144.T', '216.EO'], 'contains': ['1296.KR', '1296.KU', '1296.KV', '1296.KY', '1296.LG', '1296.LO', '1296.OB', '1296.OX', '1296.PX'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [32474, 19872, 12960], 'label': '34992.hj.432.KM', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.P', 'old_label': '432.jb1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KM', 'subgroup_fusion': None, 'weyl_group': '18.3'}
    • id: 202397159
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.D', '144.E', '144.T', '216.EP'], 'contains': ['1296.KR', '1296.KU', '1296.KZ', '1296.LH', '1296.LO', '1296.OB', '1296.QI'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [5402, 23760, 24624], 'label': '34992.hj.432.KN', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.P', 'old_label': '432.jc1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KN', 'subgroup_fusion': None, 'weyl_group': '18.3'}
    • id: 202397160
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.I', '144.L', '144.M', '144.BB', '216.KQ'], 'contains': ['1296.LA', '1296.LE', '1296.LG', '1296.LS', '1296.LU', '1296.LZ', '1296.MF', '1296.MK', '1296.NE', '1296.NR', '1296.OJ', '1296.QB', '1296.RA', '1296.RD', '1296.RT', '1296.RU', '1296.RV', '1296.RZ', '1296.SA', '1296.SB', '1296.TB', '1296.TI', '1296.TY', '1296.TZ', '1296.UF', '1296.US', '1296.UT', '1296.UU', '1296.UV', '1296.UW', '1296.WD', '1296.WF', '1296.WO', '1296.WV', '1296.XN', '1296.XW', '1296.YI', '1296.YJ', '1296.YL'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [48, 27360, 15984, 24624], 'label': '34992.hj.432.KO', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.jd1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KO', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397161
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.H', '144.M', '144.BB', '216.KR'], 'contains': ['1296.LA', '1296.LE', '1296.LH', '1296.LS', '1296.MF', '1296.MJ', '1296.NF', '1296.OJ', '1296.QA', '1296.QZ', '1296.RM', '1296.RY', '1296.SM', '1296.TO', '1296.UJ', '1296.UX', '1296.UY', '1296.VH', '1296.WW', '1296.XA', '1296.XJ', '1296.XX', '1296.XZ', '1296.YK'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [48, 23472, 12096, 24624], 'label': '34992.hj.432.KP', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.je1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KP', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397162
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.I', '144.L', '144.M', '144.BC', '216.KS'], 'contains': ['1296.LA', '1296.LB', '1296.LD', '1296.LG', '1296.LP', '1296.LR', '1296.LY', '1296.MB', '1296.MI', '1296.NG', '1296.OI', '1296.OK', '1296.OM', '1296.RF', '1296.RH', '1296.RK', '1296.RP', '1296.SI', '1296.SP', '1296.SQ', '1296.ST', '1296.TQ', '1296.TS', '1296.UC', '1296.UK', '1296.VA', '1296.VC', '1296.VD', '1296.VF', '1296.VK', '1296.VL', '1296.WT', '1296.WY', '1296.XD', '1296.XE', '1296.XH', '1296.YC', '1296.YD', '1296.YN', '1296.YO'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [48, 11808, 13392, 15552], 'label': '34992.hj.432.KQ', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.jf1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KQ', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397163
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.I', '144.L', '144.M', '144.BC', '216.KT'], 'contains': ['1296.LA', '1296.LB', '1296.LD', '1296.LG', '1296.LP', '1296.LT', '1296.MB', '1296.ME', '1296.MH', '1296.NC', '1296.OI', '1296.OL', '1296.ON', '1296.RG', '1296.RO', '1296.SJ', '1296.SN', '1296.SO', '1296.SR', '1296.SS', '1296.SX', '1296.TC', '1296.TP', '1296.UD', '1296.UH', '1296.UL', '1296.UZ', '1296.VB', '1296.VE', '1296.VG', '1296.VM', '1296.WH', '1296.WJ', '1296.WU', '1296.XC', '1296.XO', '1296.YB', '1296.YM', '1296.YR', '1296.YS'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [48, 23472, 19872, 12960], 'label': '34992.hj.432.KR', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.jf2', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KR', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397164
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.H', '144.M', '144.BC', '216.KU'], 'contains': ['1296.LA', '1296.LB', '1296.LD', '1296.LH', '1296.LQ', '1296.LT', '1296.MC', '1296.ME', '1296.MI', '1296.NG', '1296.OH', '1296.OM', '1296.ON', '1296.RI', '1296.RJ', '1296.SK', '1296.SL', '1296.SU', '1296.SV', '1296.SW', '1296.SY', '1296.TE', '1296.TT', '1296.UI', '1296.UM', '1296.UN', '1296.VI', '1296.VJ', '1296.VN', '1296.VO', '1296.VP', '1296.WI', '1296.WK', '1296.WZ', '1296.XF', '1296.XP', '1296.YE', '1296.YP', '1296.YQ', '1296.YT'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [48, 19584, 23760, 5184], 'label': '34992.hj.432.KS', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.jg1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KS', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397165
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.I', '144.M', '144.BG', '216.KV'], 'contains': ['1296.LC', '1296.LD', '1296.LE', '1296.ML', '1296.MM', '1296.NB', '1296.ND', '1296.NI', '1296.OF', '1296.QY', '1296.RC', '1296.RL', '1296.RQ', '1296.RR', '1296.RS', '1296.SF', '1296.SG', '1296.SH', '1296.WC', '1296.WE', '1296.WM', '1296.WN', '1296.WR', '1296.WS'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [48, 1440, 14688, 3888], 'label': '34992.hj.432.KT', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.jh1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KT', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397166
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '72.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.BD', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.D', '36.I'], 'contains': ['144.BR', '216.A', '216.K', '216.L', '216.M', '216.Q', '216.R', '216.S', '216.T'], 'core': '3888.A', 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [27225, 4800, 24624, 18602, 31248, 19872], 'label': '34992.hj.72.B', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.I', 'old_label': '72.b1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.B', 'subgroup_fusion': None, 'weyl_group': '108.38'}
    • id: 202397167
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.H', '144.L', '144.BH', '216.KW'], 'contains': ['1296.LA', '1296.LB', '1296.LF', '1296.LV', '1296.LW', '1296.MD', '1296.MG', '1296.MO', '1296.OG', '1296.RB', '1296.RE', '1296.RN', '1296.SZ', '1296.TA', '1296.TD', '1296.UA', '1296.UB', '1296.UG', '1296.WG', '1296.WL', '1296.XG', '1296.XI', '1296.XY', '1296.YA'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [48, 31248, 12096, 9072], 'label': '34992.hj.432.KU', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.ji1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KU', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397168
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.G', '144.K', '144.BD'], 'contains': ['1296.LC', '1296.LI', '1296.LJ', '1296.MQ', '1296.MR', '1296.PB', '1296.PC', '1296.PL', '1296.PQ'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [14906, 7920, 9072], 'label': '34992.hj.432.KV', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.K', 'old_label': '432.jj1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KV', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397169
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.G', '144.K', '144.BD'], 'contains': ['1296.LC', '1296.LI', '1296.LJ', '1296.MS', '1296.MX', '1296.PB', '1296.PC', '1296.PJ', '1296.PK'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [12746, 7920, 9072], 'label': '34992.hj.432.KW', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.K', 'old_label': '432.jj2', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KW', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397170
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.G', '144.K', '144.BE'], 'contains': ['1296.LC', '1296.LL', '1296.LM', '1296.MT', '1296.MU', '1296.PE', '1296.PH', '1296.PM', '1296.PN'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [18794, 7920, 9072], 'label': '34992.hj.432.KX', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.K', 'old_label': '432.jk1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KX', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397171
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.C', '144.E', '144.BF'], 'contains': ['1296.LC', '1296.LN', '1296.LO', '1296.MV', '1296.MW', '1296.PF', '1296.PG', '1296.PO', '1296.PP'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [20954, 7920, 9072], 'label': '34992.hj.432.KY', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.J', 'old_label': '432.jl1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KY', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397172
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.KZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.I', '144.M', '144.BH', '216.KX'], 'contains': ['1296.LA', '1296.LB', '1296.LC', '1296.LX', '1296.MA', '1296.MO', '1296.MY', '1296.MZ', '1296.OG', '1296.RX', '1296.SC', '1296.SD', '1296.TF', '1296.TL', '1296.TM', '1296.TU', '1296.TV', '1296.TW', '1296.WP', '1296.WX', '1296.XL', '1296.XR', '1296.XS', '1296.XT'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [48, 7920, 432, 9072], 'label': '34992.hj.432.KZ', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.jm1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.KZ', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397173
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.I', '144.M', '144.BH', '216.KY'], 'contains': ['1296.LA', '1296.LB', '1296.LC', '1296.LX', '1296.MA', '1296.MD', '1296.MG', '1296.MN', '1296.NA', '1296.RW', '1296.SE', '1296.TG', '1296.TH', '1296.TJ', '1296.TK', '1296.TN', '1296.TR', '1296.TX', '1296.WQ', '1296.XB', '1296.XK', '1296.XM', '1296.XQ', '1296.XU'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [48, 19584, 31536, 20736], 'label': '34992.hj.432.LA', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.jm2', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LA', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397174
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.J', '144.N', '144.BD'], 'contains': ['1296.LF', '1296.LI', '1296.LJ', '1296.NJ', '1296.NK', '1296.PJ', '1296.PK', '1296.PL', '1296.PQ'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [14474, 19488, 4320], 'label': '34992.hj.432.LB', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.K', 'old_label': '432.jn1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LB', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397175
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.J', '144.N', '144.BE'], 'contains': ['1296.LF', '1296.LL', '1296.LM', '1296.NM', '1296.NP', '1296.PM', '1296.PN'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [22250, 19488, 4320], 'label': '34992.hj.432.LC', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.K', 'old_label': '432.jo1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LC', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397176
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.D', '144.F', '144.BF'], 'contains': ['1296.LF', '1296.LN', '1296.LO', '1296.NN', '1296.NO', '1296.PO', '1296.PP'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [18362, 19488, 4320], 'label': '34992.hj.432.LD', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.J', 'old_label': '432.jp1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LD', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397177
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '72.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.BD', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.D', '36.J'], 'contains': ['144.BX', '216.A', '216.B', '216.C', '216.D', '216.E', '216.N', '216.O', '216.P'], 'core': '34992.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [19209, 33840, 19056, 18602, 9504, 11664], 'label': '34992.hj.72.C', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.J', 'old_label': '72.c1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.C', 'subgroup_fusion': None, 'weyl_group': '108.38'}
    • id: 202397178
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.H', '144.L', '144.BG', '216.KZ'], 'contains': ['1296.LD', '1296.LE', '1296.LF', '1296.NB', '1296.ND', '1296.NH', '1296.NQ', '1296.UE', '1296.UO', '1296.UP', '1296.UQ', '1296.UR', '1296.XV', '1296.YF', '1296.YG', '1296.YH'], 'core': '34992.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [48, 11808, 432, 24624], 'label': '34992.hj.432.LE', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.jq1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LE', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397179
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.C', '144.E', '144.F', '144.BO'], 'contains': ['1296.LG', '1296.LK', '1296.LN', '1296.LO', '1296.NU', '1296.NV', '1296.NZ', '1296.OQ', '1296.OR', '1296.OV', '1296.PS', '1296.PV'], 'core': '34992.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [30026, 32544, 19872], 'label': '34992.hj.432.LF', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.J', 'old_label': '432.jr1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LF', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397180
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.G', '144.K', '144.N', '144.BP'], 'contains': ['1296.LG', '1296.LI', '1296.LM', '1296.NT', '1296.NX', '1296.OC', '1296.OP', '1296.OT', '1296.OY', '1296.PU', '1296.PW', '1296.PZ'], 'core': '34992.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [22250, 32544, 19872], 'label': '34992.hj.432.LG', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.K', 'old_label': '432.js1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LG', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397181
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.G', '144.K', '144.N', '144.BQ'], 'contains': ['1296.LG', '1296.LI', '1296.LJ', '1296.LL', '1296.NY', '1296.OA', '1296.OE', '1296.OO', '1296.OS', '1296.PA', '1296.PR', '1296.PT', '1296.PY'], 'core': '34992.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [10586, 32544, 19872], 'label': '34992.hj.432.LH', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.K', 'old_label': '432.jt1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LH', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397182
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.G', '144.K', '144.N', '144.BQ'], 'contains': ['1296.LG', '1296.LI', '1296.LJ', '1296.LL', '1296.NS', '1296.NW', '1296.OD', '1296.OU', '1296.OW', '1296.OZ', '1296.PR', '1296.PT', '1296.PY'], 'core': '34992.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [2810, 32544, 19872], 'label': '34992.hj.432.LI', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.K', 'old_label': '432.jt2', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LI', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397183
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.D', '144.E', '144.BO'], 'contains': ['1296.LH', '1296.LK', '1296.LN', '1296.LO', '1296.NU', '1296.NV', '1296.NZ', '1296.QD', '1296.QG'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [30026, 32544, 21168], 'label': '34992.hj.432.LJ', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.J', 'old_label': '432.ju1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LJ', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397184
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.J', '144.K', '144.BP'], 'contains': ['1296.LH', '1296.LI', '1296.LM', '1296.NT', '1296.NX', '1296.OC', '1296.QF', '1296.QH', '1296.QK'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [33914, 32544, 21168], 'label': '34992.hj.432.LK', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.K', 'old_label': '432.jv1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LK', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397185
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.J', '144.K', '144.BQ'], 'contains': ['1296.LH', '1296.LI', '1296.LJ', '1296.LL', '1296.NS', '1296.NW', '1296.NY', '1296.OA', '1296.OD', '1296.OE', '1296.QC', '1296.QE', '1296.QJ'], 'core': '34992.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [26138, 32544, 21168], 'label': '34992.hj.432.LL', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.K', 'old_label': '432.jw1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LL', 'subgroup_fusion': None, 'weyl_group': '9.2'}
    • id: 202397186
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.O', '144.P', '144.Q', '144.CF', '144.CG', '144.CH', '144.CI', '144.CJ', '144.CK', '216.U', '216.CP', '216.EQ'], 'contains': ['1296.A', '1296.KS', '1296.KX', '1296.QL', '1296.QP'], 'core': '1296.A', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [5402, 19488, 5616], 'label': '34992.hj.432.LM', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '432.jx1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LM', 'subgroup_fusion': None, 'weyl_group': '108.38'}
    • id: 202397187
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.B', '144.Q', '144.R', '144.S', '144.CF', '144.CG', '144.CL', '216.V', '216.CQ', '216.ER'], 'contains': ['1296.A', '1296.KT', '1296.KW', '1296.QM', '1296.QQ'], 'core': '1296.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5402, 19584, 32400], 'label': '34992.hj.432.LN', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '432.jy1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LN', 'subgroup_fusion': None, 'weyl_group': '108.38'}
    • id: 202397188
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '72.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.BD', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.C', '24.I', '36.A'], 'contains': ['144.P', '216.H', '216.BC', '216.BL', '216.CF', '216.CP', '216.CW'], 'core': '1296.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [7353, 10080, 26976, 18602, 23760, 12960], 'label': '34992.hj.72.D', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.C', 'old_label': '72.d1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.D', 'subgroup_fusion': None, 'weyl_group': '324.116'}
    • id: 202397189
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.O', '144.P', '144.R', '144.T', '144.CF', '144.CG', '144.CH', '144.CI', '144.CL', '144.CM', '144.CN', '144.CO', '216.ES'], 'contains': ['1296.A', '1296.KU', '1296.KV', '1296.QN', '1296.QS'], 'core': '1296.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [5402, 144, 27216], 'label': '34992.hj.432.LO', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.A', 'old_label': '432.jz1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LO', 'subgroup_fusion': None, 'weyl_group': '54.13'}
    • id: 202397190
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.O', '144.S', '144.T', '144.CF', '144.CH', '144.CJ', '144.CL', '144.CM', '144.CP', '216.ET'], 'contains': ['1296.A', '1296.KY', '1296.KZ', '1296.QO', '1296.QT'], 'core': '1296.A', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [5402, 19584, 32832], 'label': '34992.hj.432.LP', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.A', 'old_label': '432.ka1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LP', 'subgroup_fusion': None, 'weyl_group': '54.13'}
    • id: 202397191
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.BB', '144.BC', '144.BG', '144.BH', '144.CF', '144.CQ', '144.CR', '144.CS', '144.CT', '216.LA'], 'contains': ['1296.LP', '1296.LQ', '1296.LS', '1296.LU', '1296.LV', '1296.LX', '1296.ML', '1296.NB', '1296.QL', '1296.QM', '1296.QN', '1296.QO'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [48, 19584, 4320, 28512], 'label': '34992.hj.432.LQ', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.A', 'old_label': '432.kb1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LQ', 'subgroup_fusion': None, 'weyl_group': '6.2'}
    • id: 202397192
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.BC', '144.BG', '144.BH', '144.CG', '144.CU', '144.CV', '144.CW', '216.CR', '216.CS', '216.LB'], 'contains': ['1296.LR', '1296.LT', '1296.LW', '1296.MA', '1296.MM', '1296.ND', '1296.QL', '1296.QM', '1296.QN'], 'core': '3888.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [23376, 19584, 23760, 32400], 'label': '34992.hj.432.LR', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '432.kc1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LR', 'subgroup_fusion': None, 'weyl_group': '12.5'}
    • id: 202397193
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.BB', '144.BC', '144.BH', '144.CH', '144.CX', '144.CY', '144.CZ', '144.DA', '216.LC'], 'contains': ['1296.LY', '1296.LZ', '1296.MB', '1296.MC', '1296.ME', '1296.MF', '1296.MN', '1296.OG', '1296.QL', '1296.QN', '1296.QO'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [48, 19584, 23760, 9072], 'label': '34992.hj.432.LS', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.A', 'old_label': '432.kd1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LS', 'subgroup_fusion': None, 'weyl_group': '6.2'}
    • id: 202397194
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.Q', '144.U', '144.Y', '144.CQ', '144.CU', '144.DA', '144.DB', '144.DD', '144.DF', '216.W'], 'contains': ['1296.MP', '1296.PI', '1296.QL', '1296.QP', '1296.QQ', '1296.QR'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [18362, 19584, 31536], 'label': '34992.hj.432.LT', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '432.ke1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LT', 'subgroup_fusion': None, 'weyl_group': '54.12'}
    • id: 202397195
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.W', '144.X', '144.Z', '144.BD', '144.CI', '144.CS', '144.CT', '144.CV', '144.CY', '144.CZ', '144.DB', '144.DD', '144.DF'], 'contains': ['1296.MQ', '1296.PJ', '1296.QL', '1296.QP', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [33914, 19584, 31536], 'label': '34992.hj.432.LU', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.kf1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LU', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397196
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.V', '144.BA', '144.BD', '144.CJ', '144.CR', '144.CW', '144.CX', '144.DB', '144.DF', '216.CT'], 'contains': ['1296.MR', '1296.PK', '1296.QL', '1296.QP', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [20954, 19584, 31536], 'label': '34992.hj.432.LV', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '432.kg1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LV', 'subgroup_fusion': None, 'weyl_group': '54.12'}
    • id: 202397197
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.X', '144.BA', '144.BD', '144.CK', '144.CT', '144.CW', '144.DA', '144.DB', '144.DD', '216.CU'], 'contains': ['1296.MS', '1296.PL', '1296.QL', '1296.QP'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [31322, 19488, 5616], 'label': '34992.hj.432.LW', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '432.kh1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LW', 'subgroup_fusion': None, 'weyl_group': '54.12'}
    • id: 202397198
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.V', '144.X', '144.Z', '144.BE', '144.CF', '144.CQ', '144.CU', '144.CX', '144.CZ', '144.DB', '144.DC', '144.DE', '144.DF'], 'contains': ['1296.MT', '1296.PM', '1296.QL', '1296.QQ', '1296.QS', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [19658, 19584, 31536], 'label': '34992.hj.432.LX', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.ki1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LX', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397199
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '72.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.BD', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.D', '24.F', '36.A'], 'contains': ['144.P', '216.B', '216.Q', '216.U', '216.BK', '216.BM', '216.BP'], 'core': '1296.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [7353, 33840, 26976, 18602, 31536, 24624], 'label': '34992.hj.72.E', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.D', 'old_label': '72.e1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.E', 'subgroup_fusion': None, 'weyl_group': '324.166'}
    • id: 202397200
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.W', '144.BA', '144.BE', '144.CG', '144.CQ', '144.CY', '144.DC', '144.DD', '144.DF', '216.CV'], 'contains': ['1296.MU', '1296.PN', '1296.QL', '1296.QQ', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [26138, 19488, 5616], 'label': '34992.hj.432.LY', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '432.kj1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LY', 'subgroup_fusion': None, 'weyl_group': '54.12'}
    • id: 202397201
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.LZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.O', '144.U', '144.Y', '144.BF', '144.CR', '144.CT', '144.CV', '144.CX', '144.CY', '144.DB', '144.DC', '144.DE', '144.DF'], 'contains': ['1296.MV', '1296.PO', '1296.QL', '1296.QR', '1296.QS', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [6698, 19584, 31536], 'label': '34992.hj.432.LZ', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.kk1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.LZ', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397202
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.P', '144.U', '144.BF', '144.CS', '144.CW', '144.CZ', '144.DC', '144.DD', '144.DF', '216.CW'], 'contains': ['1296.MW', '1296.PP', '1296.QL', '1296.QR', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [17066, 19488, 5616], 'label': '34992.hj.432.MA', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '432.kl1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MA', 'subgroup_fusion': None, 'weyl_group': '54.12'}
    • id: 202397203
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.V', '144.W', '144.Z', '144.BD', '144.CH', '144.CR', '144.CS', '144.CV', '144.DA', '144.DC', '144.DE', '144.DF'], 'contains': ['1296.MX', '1296.PQ', '1296.QL', '1296.QS', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [22250, 19584, 31536], 'label': '34992.hj.432.MB', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.km1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MB', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397204
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.BC', '144.BH', '144.CI', '144.DB', '144.DC', '216.LD'], 'contains': ['1296.MD', '1296.MH', '1296.MI', '1296.MY', '1296.QL', '1296.QN'], 'core': '3888.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [27264, 19584, 31536, 28512], 'label': '34992.hj.432.MC', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '432.kn1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MC', 'subgroup_fusion': None, 'weyl_group': '12.2'}
    • id: 202397205
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.BB', '144.BH', '144.CJ', '144.DD', '144.DE', '216.CX', '216.LE'], 'contains': ['1296.MG', '1296.MJ', '1296.MK', '1296.MZ', '1296.QL', '1296.QO'], 'core': '3888.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48, 19584, 12096, 20736], 'label': '34992.hj.432.MD', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '432.ko1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MD', 'subgroup_fusion': None, 'weyl_group': '12.5'}
    • id: 202397206
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.ME', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.BH', '144.CK', '144.DF', '216.CY', '216.LF'], 'contains': ['1296.MO', '1296.NA', '1296.QL'], 'core': '3888.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19488, 19584, 31536, 20736], 'label': '34992.hj.432.ME', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '432.kp1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.ME', 'subgroup_fusion': None, 'weyl_group': '24.10'}
    • id: 202397207
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.BB', '144.BC', '144.BG', '144.CL', '144.DG', '144.DH', '144.DI', '216.LG'], 'contains': ['1296.NC', '1296.NE', '1296.NF', '1296.NG', '1296.NH', '1296.OF', '1296.QM', '1296.QN', '1296.QO'], 'core': '3888.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [48, 11808, 25056, 3888], 'label': '34992.hj.432.MF', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.A', 'old_label': '432.kq1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MF', 'subgroup_fusion': None, 'weyl_group': '6.2'}
    • id: 202397208
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.BD', '144.BI', '144.BK', '144.BN', '144.CF', '144.CQ', '144.CR', '144.CT', '144.CV', '144.CW', '144.DH', '144.DI', '144.DJ'], 'contains': ['1296.NJ', '1296.PB', '1296.QM', '1296.QP', '1296.QS', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [21818, 19584, 32400], 'label': '34992.hj.432.MG', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.kr1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MG', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397209
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.BD', '144.BK', '144.BL', '144.CG', '144.CS', '144.CT', '144.CU', '144.DI', '144.DJ', '216.CZ'], 'contains': ['1296.NK', '1296.PC', '1296.QM', '1296.QP', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [33482, 19584, 32400], 'label': '34992.hj.432.MH', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '432.ks1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MH', 'subgroup_fusion': None, 'weyl_group': '54.12'}
    • id: 202397210
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '72.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.BD', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.B', '24.I', '36.B'], 'contains': ['144.S', '216.H', '216.BD', '216.BN', '216.CG', '216.CQ', '216.DB'], 'core': '1296.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [7353, 25056, 26976, 18602, 19584, 12960], 'label': '34992.hj.72.F', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '72.f1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.F', 'subgroup_fusion': None, 'weyl_group': '324.116'}
    • id: 202397211
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.Q', '144.BJ', '144.BM', '144.CT', '144.CW', '144.DG', '144.DJ', '216.X'], 'contains': ['1296.NL', '1296.PD', '1296.QM', '1296.QP', '1296.QR'], 'core': '3888.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17066, 19584, 32400], 'label': '34992.hj.432.MI', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '432.kt1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MI', 'subgroup_fusion': None, 'weyl_group': '54.12'}
    • id: 202397212
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.B', '144.BE', '144.BI', '144.BL', '144.CQ', '144.CU', '144.DG', '216.DA'], 'contains': ['1296.NM', '1296.PE', '1296.QM', '1296.QQ'], 'core': '3888.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [2378, 19584, 32400], 'label': '34992.hj.432.MJ', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '432.ku1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MJ', 'subgroup_fusion': None, 'weyl_group': '54.12'}
    • id: 202397213
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.R', '144.BF', '144.BJ', '144.BM', '144.CQ', '144.CS', '144.CV', '144.DI', '144.DJ'], 'contains': ['1296.NN', '1296.PF', '1296.QM', '1296.QR', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [32618, 19584, 32400], 'label': '34992.hj.432.MK', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.kv1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MK', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397214
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.ML', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.S', '144.BF', '144.BJ', '144.CR', '144.CU', '144.DH', '144.DJ', '216.DB'], 'contains': ['1296.NO', '1296.PG', '1296.QM', '1296.QR', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [20954, 19584, 32400], 'label': '34992.hj.432.ML', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '432.kw1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.ML', 'subgroup_fusion': None, 'weyl_group': '54.12'}
    • id: 202397215
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.BE', '144.BK', '144.BN', '144.CL', '144.CR', '144.CS', '144.CV', '144.DG', '144.DJ'], 'contains': ['1296.NP', '1296.PH', '1296.QM', '1296.QS', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [21386, 19584, 32400], 'label': '34992.hj.432.MM', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.kx1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MM', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397216
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.X', '144.Z', '144.BI', '144.BQ', '144.CG', '144.CQ', '144.CZ', '144.DA', '144.DB', '144.DG', '144.DL', '144.DM', '144.DN'], 'contains': ['1296.NS', '1296.OO', '1296.QN', '1296.QP', '1296.QQ', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [30458, 144, 27216], 'label': '34992.hj.432.MN', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.ky1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MN', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397217
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.W', '144.BA', '144.BI', '144.BP', '144.CF', '144.CU', '144.CX', '144.DA', '144.DB', '144.DG', '144.DK', '144.DM', '144.DN'], 'contains': ['1296.NT', '1296.OP', '1296.QN', '1296.QP', '1296.QQ', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [25274, 144, 27216], 'label': '34992.hj.432.MO', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.kz1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MO', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397218
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.P', '144.U', '144.BJ', '144.BO', '144.CT', '144.CV', '144.CY', '144.DA', '144.DB', '144.DI', '144.DL', '144.DM', '144.DN'], 'contains': ['1296.NU', '1296.OQ', '1296.QN', '1296.QP', '1296.QR', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [11882, 144, 27216], 'label': '34992.hj.432.MP', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.la1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MP', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397219
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.O', '144.Y', '144.BJ', '144.BO', '144.CS', '144.CW', '144.CX', '144.DA', '144.DB', '144.DH', '144.DK', '144.DM', '144.DN'], 'contains': ['1296.NV', '1296.OR', '1296.QN', '1296.QP', '1296.QR', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [22250, 144, 27216], 'label': '34992.hj.432.MQ', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lb1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MQ', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397220
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.V', '144.BA', '144.BK', '144.BQ', '144.CH', '144.CT', '144.CV', '144.CZ', '144.DB', '144.DH', '144.DK', '144.DM', '144.DN'], 'contains': ['1296.NW', '1296.OS', '1296.QN', '1296.QP', '1296.QS', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [18794, 144, 27216], 'label': '34992.hj.432.MR', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lc1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MR', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397221
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '72.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.BD', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.D', '24.E', '36.B'], 'contains': ['144.S', '216.C', '216.R', '216.V', '216.BK', '216.BO', '216.BQ'], 'core': '1296.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [7353, 33840, 26976, 18602, 8208, 24624], 'label': '34992.hj.72.G', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.D', 'old_label': '72.g1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.G', 'subgroup_fusion': None, 'weyl_group': '324.166'}
    • id: 202397222
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.X', '144.Z', '144.BK', '144.BP', '144.CH', '144.CR', '144.CW', '144.CY', '144.DB', '144.DI', '144.DK', '144.DM', '144.DN'], 'contains': ['1296.NX', '1296.OT', '1296.QN', '1296.QP', '1296.QS', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [33482, 144, 27216], 'label': '34992.hj.432.MS', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lc2', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MS', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397223
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.X', '144.BA', '144.BK', '144.BQ', '144.CI', '144.CT', '144.CW', '144.DA', '144.DI', '144.DL', '144.DM', '144.DN'], 'contains': ['1296.NY', '1296.OU', '1296.QN', '1296.QP', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [3674, 144, 27216], 'label': '34992.hj.432.MT', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.ld1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MT', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397224
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.R', '144.U', '144.Y', '144.BO', '144.CQ', '144.CU', '144.CY', '144.CZ', '144.DC', '144.DG', '144.DL', '144.DM', '144.DN'], 'contains': ['1296.NZ', '1296.OV', '1296.QN', '1296.QQ', '1296.QR', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [10586, 144, 27216], 'label': '34992.hj.432.MU', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.le1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MU', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397225
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.V', '144.Z', '144.BI', '144.BQ', '144.CL', '144.CQ', '144.CU', '144.CX', '144.CY', '144.DC', '144.DK', '144.DM', '144.DN'], 'contains': ['1296.OA', '1296.OW', '1296.QN', '1296.QQ', '1296.QS', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [31754, 144, 27216], 'label': '34992.hj.432.MV', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lf1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MV', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397226
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.T', '144.U', '144.Y', '144.BJ', '144.CR', '144.CV', '144.CX', '144.CZ', '144.DC', '144.DI', '144.DK', '144.DM', '144.DN'], 'contains': ['1296.OB', '1296.OX', '1296.QN', '1296.QR', '1296.QS', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [6698, 32448, 18576], 'label': '34992.hj.432.MW', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lg1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MW', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397227
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.V', '144.Z', '144.BK', '144.BP', '144.CM', '144.CR', '144.CV', '144.CX', '144.DC', '144.DH', '144.DM', '144.DN'], 'contains': ['1296.OC', '1296.OY', '1296.QN', '1296.QS', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [10154, 144, 27216], 'label': '34992.hj.432.MX', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lh1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MX', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397228
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.W', '144.Z', '144.BK', '144.BQ', '144.CN', '144.CS', '144.CV', '144.CY', '144.CZ', '144.DC', '144.DI', '144.DL', '144.DN'], 'contains': ['1296.OD', '1296.PA', '1296.QN', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [4970, 144, 27216], 'label': '34992.hj.432.MY', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.li1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MY', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397229
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.MZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.W', '144.Z', '144.BK', '144.BQ', '144.CO', '144.CS', '144.CV', '144.CY', '144.CZ', '144.DC', '144.DI', '144.DL', '144.DM'], 'contains': ['1296.OE', '1296.OZ', '1296.QN', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [20090, 144, 27216], 'label': '34992.hj.432.MZ', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.li2', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.MZ', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397230
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.BB', '144.BC', '144.CM', '144.DK', '144.DL', '216.LI'], 'contains': ['1296.NR', '1296.OH', '1296.OI', '1296.OJ', '1296.QN', '1296.QO'], 'core': '3888.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [48, 19584, 27648, 5184], 'label': '34992.hj.432.NA', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.A', 'old_label': '432.lj1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NA', 'subgroup_fusion': None, 'weyl_group': '6.2'}
    • id: 202397231
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.BC', '144.CN', '144.DM', '216.LJ'], 'contains': ['1296.OK', '1296.ON', '1296.QN'], 'core': '3888.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [27264, 19584, 19872, 5184], 'label': '34992.hj.432.NB', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '432.lk1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NB', 'subgroup_fusion': None, 'weyl_group': '12.2'}
    • id: 202397232
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '72.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.BD', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.D', '24.H'], 'contains': ['144.Y', '216.D', '216.S', '216.W', '216.BM', '216.BP', '216.BQ', '216.BR'], 'core': '3888.B', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [7353, 33840, 4800, 30266, 19872, 24624], 'label': '34992.hj.72.H', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.D', 'old_label': '72.h1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.H', 'subgroup_fusion': None, 'weyl_group': '162.52'}
    • id: 202397233
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.BC', '144.CO', '144.DN', '216.LK'], 'contains': ['1296.OL', '1296.OM', '1296.QN'], 'core': '3888.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [13008, 144, 26352, 27216], 'label': '34992.hj.432.NC', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '432.lk2', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NC', 'subgroup_fusion': None, 'weyl_group': '12.2'}
    • id: 202397234
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.ND', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.V', '144.X', '144.BL', '144.BQ', '144.CF', '144.CQ', '144.CY', '144.DA', '144.DD', '144.DG', '144.DK', '144.DL', '144.DO'], 'contains': ['1296.PR', '1296.QC', '1296.QO', '1296.QP', '1296.QQ', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [26138, 19584, 32832], 'label': '34992.hj.432.ND', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.ll1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.ND', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397235
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.O', '144.U', '144.BM', '144.BO', '144.CR', '144.CT', '144.CZ', '144.DA', '144.DD', '144.DI', '144.DK', '144.DL', '144.DO'], 'contains': ['1296.PS', '1296.QD', '1296.QO', '1296.QP', '1296.QR', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [6698, 19584, 32832], 'label': '34992.hj.432.NE', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lm1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NE', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397236
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.W', '144.X', '144.BN', '144.BQ', '144.CH', '144.CS', '144.CT', '144.CX', '144.DD', '144.DI', '144.DL', '144.DO'], 'contains': ['1296.PT', '1296.QE', '1296.QO', '1296.QP', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [7994, 19584, 32832], 'label': '34992.hj.432.NF', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.ln1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NF', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397237
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.X', '144.BN', '144.BP', '144.CJ', '144.CT', '144.DA', '144.DH', '144.DK', '144.DO'], 'contains': ['1296.PU', '1296.QF', '1296.QO', '1296.QP', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [31322, 19584, 32832], 'label': '34992.hj.432.NG', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lo1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NG', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397238
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.S', '144.U', '144.BO', '144.CQ', '144.CX', '144.DE', '144.DG', '144.DK', '144.DO'], 'contains': ['1296.PV', '1296.QG', '1296.QO', '1296.QQ', '1296.QR', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [15770, 19584, 32832], 'label': '34992.hj.432.NH', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lp1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NH', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397239
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.W', '144.BL', '144.BP', '144.CL', '144.CQ', '144.CZ', '144.DE', '144.DL', '144.DO'], 'contains': ['1296.PW', '1296.QH', '1296.QO', '1296.QQ', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [9290, 19584, 32832], 'label': '34992.hj.432.NI', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lq1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NI', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397240
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.T', '144.U', '144.BM', '144.CS', '144.CY', '144.DE', '144.DH', '144.DL', '144.DO'], 'contains': ['1296.PX', '1296.QI', '1296.QO', '1296.QR', '1296.QS'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [18362, 19584, 32832], 'label': '34992.hj.432.NJ', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lr1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NJ', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397241
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.V', '144.W', '144.BN', '144.BQ', '144.CM', '144.CR', '144.CS', '144.CY', '144.CZ', '144.DE', '144.DI', '144.DK', '144.DO'], 'contains': ['1296.PY', '1296.QJ', '1296.QO', '1296.QS', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [24842, 19584, 32832], 'label': '34992.hj.432.NK', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.ls1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NK', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397242
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.V', '144.BN', '144.BP', '144.CP', '144.CR', '144.CX', '144.DE', '144.DH', '144.DK'], 'contains': ['1296.PZ', '1296.QK', '1296.QO', '1296.QT'], 'core': '3888.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [23546, 19584, 32832], 'label': '34992.hj.432.NL', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.lt1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NL', 'subgroup_fusion': None, 'weyl_group': '27.5'}
    • id: 202397243
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '72.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.BD', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.C', '24.J'], 'contains': ['144.BA', '216.J', '216.BG', '216.BL', '216.CJ', '216.CT', '216.CU', '216.CV'], 'core': '3888.B', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [7353, 20016, 10704, 34154, 432, 12960], 'label': '34992.hj.72.I', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.C', 'old_label': '72.i1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.I', 'subgroup_fusion': None, 'weyl_group': '162.34'}
    • id: 202397244
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.BB', '144.CP', '144.DO', '216.LL'], 'contains': ['1296.QA', '1296.QB', '1296.QO'], 'core': '3888.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [48, 19584, 15984, 16848], 'label': '34992.hj.432.NM', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '432.lu1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NM', 'subgroup_fusion': None, 'weyl_group': '24.11'}
    • id: 202397245
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.I', '144.L', '216.LM'], 'contains': ['1296.RD', '1296.RF', '1296.RQ', '1296.RW', '1296.TL', '1296.TZ', '1296.UD', '1296.VC', '1296.VE', '1296.VQ', '1296.VS', '1296.WG', '1296.WL', '1296.WO', '1296.WU', '1296.XH', '1296.YC', '1296.YG', '1296.YI', '1296.YM'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [48, 23472, 23760, 3888], 'label': '34992.hj.432.NN', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.lv1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NN', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397246
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.H', '144.I', '144.L', '144.M', '216.LN'], 'contains': ['1296.RA', '1296.RG', '1296.RI', '1296.RJ', '1296.RS', '1296.SD', '1296.SM', '1296.SV', '1296.TD', '1296.TH', '1296.UA', '1296.UF', '1296.UK', '1296.UO', '1296.UY', '1296.VJ', '1296.VK', '1296.VM', '1296.VQ', '1296.VR', '1296.VS', '1296.VT', '1296.WD', '1296.WH', '1296.WJ', '1296.WK', '1296.WM', '1296.WP', '1296.WV', '1296.WY', '1296.XG', '1296.XM', '1296.XX', '1296.YA', '1296.YB', '1296.YG', '1296.YL', '1296.YN', '1296.YO', '1296.YQ'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [48, 11808, 31536, 24624], 'label': '34992.hj.432.NO', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.lw1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NO', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397247
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.H', '144.I', '144.L', '144.M', '216.LO'], 'contains': ['1296.QZ', '1296.RK', '1296.RM', '1296.RP', '1296.RR', '1296.SC', '1296.SK', '1296.SU', '1296.SZ', '1296.TR', '1296.UB', '1296.UH', '1296.UL', '1296.UP', '1296.UV', '1296.UW', '1296.VI', '1296.VN', '1296.VQ', '1296.VR', '1296.VS', '1296.VT', '1296.WD', '1296.WF', '1296.WH', '1296.WI', '1296.WN', '1296.WX', '1296.XC', '1296.XE', '1296.XI', '1296.XK', '1296.XY', '1296.YC', '1296.YE', '1296.YF', '1296.YJ', '1296.YK', '1296.YN', '1296.YR'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [48, 7920, 27648, 20736], 'label': '34992.hj.432.NP', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.lw2', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NP', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397248
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.H', '144.M', '216.LP'], 'contains': ['1296.RB', '1296.RN', '1296.RY', '1296.SY', '1296.TE', '1296.UN', '1296.UQ', '1296.VH', '1296.VP', '1296.VR', '1296.VT', '1296.WF', '1296.WK', '1296.WM', '1296.XB', '1296.XR', '1296.XZ', '1296.YD', '1296.YR', '1296.YT'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [48, 4032, 4320, 5184], 'label': '34992.hj.432.NQ', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.lx1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NQ', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397249
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.I', '144.L', '144.M', '216.LQ'], 'contains': ['1296.QY', '1296.RC', '1296.RZ', '1296.SI', '1296.SO', '1296.SS', '1296.TB', '1296.TC', '1296.TF', '1296.TJ', '1296.TK', '1296.TM', '1296.TY', '1296.UC', '1296.UT', '1296.VA', '1296.VF', '1296.VG', '1296.VQ', '1296.VR', '1296.VS', '1296.WE', '1296.WG', '1296.WI', '1296.WJ', '1296.WQ', '1296.WT', '1296.WW', '1296.XD', '1296.XG', '1296.XN', '1296.XO', '1296.XS', '1296.XV', '1296.YI', '1296.YJ', '1296.YP', '1296.YS'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [48, 432, 24624, 15552], 'label': '34992.hj.432.NR', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.ly1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NR', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397250
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.H', '144.I', '144.M', '216.LR'], 'contains': ['1296.RE', '1296.RH', '1296.RL', '1296.RO', '1296.RV', '1296.SE', '1296.SL', '1296.SW', '1296.SX', '1296.TA', '1296.TO', '1296.TT', '1296.TV', '1296.UE', '1296.UU', '1296.UX', '1296.VL', '1296.VO', '1296.VQ', '1296.VR', '1296.VT', '1296.WC', '1296.WE', '1296.WZ', '1296.XA', '1296.XC', '1296.XE', '1296.XH', '1296.XJ', '1296.XL', '1296.XM', '1296.XQ', '1296.XR', '1296.XW', '1296.YE', '1296.YL', '1296.YQ', '1296.YS', '1296.YT'], 'core': '34992.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [48, 4032, 31536, 24624], 'label': '34992.hj.432.NS', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.lz1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NS', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397251
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.I', '144.M', '216.LS'], 'contains': ['1296.RT', '1296.SB', '1296.SG', '1296.TN', '1296.TQ', '1296.TS', '1296.TU', '1296.UZ', '1296.VB', '1296.VQ', '1296.VR', '1296.WO', '1296.WS', '1296.XA', '1296.XK', '1296.XO', '1296.XP', '1296.XT', '1296.YO', '1296.YP'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [48, 4032, 432, 28512], 'label': '34992.hj.432.NT', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.ma1', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NT', 'subgroup_fusion': None, 'weyl_group': '2.1'}
    • id: 202397252
      {'ambient': '34992.hj', 'aut_centralizer_order': None, 'aut_label': '432.NU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.I', '144.M', '216.LT'], 'contains': ['1296.SF', '1296.SP', '1296.SR', '1296.TG', '1296.TI', '1296.TP', '1296.TW', '1296.US', '1296.VD', '1296.VQ', '1296.VR', '1296.WR', '1296.WY', '1296.XF', '1296.XN', '1296.XP', '1296.XQ', '1296.XS', '1296.YK', '1296.YM'], 'core': '34992.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [48, 23760, 24624, 3888], 'label': '34992.hj.432.NU', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.A', 'old_label': '432.ma2', 'projective_image': '34992.hj', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.NU', 'subgroup_fusion': None, 'weyl_group': '2.1'}