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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '432.200', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [12, 2, 12, 6, 6], 'aut_gens': [[1, 12], [217, 93], [335, 16], [110, 59], [46, 235], [112, 209]], 'aut_group': None, 'aut_hash': 3699388705508165265, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 10368, 'aut_permdeg': 30, 'aut_perms': [95108450351473428236056802551838, 7639037770008249152636737248413, 228117714470042719732097908120850, 264431521026892822133335610842534, 78044064285271334312387283330256], 'aut_phi_ratio': 72.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [3, 1, 2, 1], [3, 1, 6, 1], [4, 1, 12, 1], [6, 1, 6, 1], [6, 1, 18, 1], [9, 1, 18, 1], [12, 1, 24, 1], [12, 1, 72, 1], [18, 1, 54, 1], [36, 1, 216, 1]], 'aut_supersolvable': False, 'aut_tex': '(A_4\\times \\He_3).C_2.C_2^4', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': None, 'autcent_hash': 3699388705508165265, 'autcent_nilpotent': False, 'autcent_order': 10368, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': '(A_4\\times \\He_3).C_2.C_2^4', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 3], [3, 1, 8], [4, 1, 12], [6, 1, 24], [9, 1, 18], [12, 1, 96], [18, 1, 54], [36, 1, 216]], 'center_label': '432.200', 'center_order': 432, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 200, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['4.1', 2], ['9.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 1, 2, 4], [4, 1, 2, 6], [6, 1, 2, 12], [9, 1, 6, 3], [12, 1, 4, 24], [18, 1, 6, 9], [36, 1, 12, 18]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 4, 'exponent': 36, 'exponents_of_order': [4, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '12.5', 'frattini_quotient': '36.14', 'hash': 200, 'hyperelementary': 1, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1], 'inner_gens': [[1, 12], [1, 12]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 432]], 'label': '432.200', 'linC_count': None, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C12*C36', 'ngens': 7, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [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': 12, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 432, 'number_divisions': 80, 'number_normal_subgroups': 150, 'number_subgroup_autclasses': 36, 'number_subgroup_classes': 150, 'number_subgroups': 150, 'old_label': None, 'order': 432, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 3], [3, 8], [4, 12], [6, 24], [9, 18], [12, 96], [18, 54], [36, 216]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [12, 4, 3, 4, 2], 'outer_gen_pows': [0, 0, 0, 0, 0], 'outer_gens': [[223, 19], [259, 420], [46, 303], [149, 21], [109, 424]], 'outer_group': None, 'outer_hash': 3699388705508165265, 'outer_nilpotent': False, 'outer_order': 10368, 'outer_permdeg': 30, 'outer_perms': [255611608351001956880014691621102, 21346526519607362638571175531761, 254390680503310733804746349147228, 71333916442459947829702730704312, 20740725602287596847496065851230], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': '(A_4\\times \\He_3).C_2.C_2^4', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [4, 4, 3, 9], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 22], [4, 24], [6, 12], [12, 18]], 'representations': {'PC': {'code': 602533700987208605075, 'gens': [1, 4], 'pres': [7, -2, -2, -3, -2, -2, -3, -3, 14, 36, 80, 102, 166]}, 'GLFp': {'d': 2, 'p': 37, 'gens': [405225, 962409]}, 'Perm': {'d': 20, 'gens': [377740048637952000, 4097379686400, 357120, 79833600, 122000787836928000, 1313901388800, 80884]}}, 'schur_multiplier': [12], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [12, 36], 'solvability_type': 1, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{12}\\times C_{36}', 'transitive_degree': 432, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 105189824
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 200, 'group_order': 432, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
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id: 105189935
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 200, 'group_order': 432, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 6, 'size': 1}
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id: 105190046
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 200, 'group_order': 432, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 216, 'size': 1}
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id: 105190157
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 200, 'group_order': 432, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 222, 'size': 1}
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id: 105190201
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 200, 'group_order': 432, 'label': '3A1', 'order': 3, 'powers': [6, 1], 'representative': 4, 'size': 1}
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id: 105190212
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 200, 'group_order': 432, 'label': '3A-1', 'order': 3, 'powers': [5, 1], 'representative': 8, 'size': 1}
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id: 105190223
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 200, 'group_order': 432, 'label': '3B1', 'order': 3, 'powers': [8, 1], 'representative': 148, 'size': 1}
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id: 105190234
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 200, 'group_order': 432, 'label': '3B-1', 'order': 3, 'powers': [7, 1], 'representative': 296, 'size': 1}
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id: 105190245
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 200, 'group_order': 432, 'label': '3C1', 'order': 3, 'powers': [10, 1], 'representative': 292, 'size': 1}
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id: 105189825
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 200, 'group_order': 432, 'label': '3C-1', 'order': 3, 'powers': [9, 1], 'representative': 152, 'size': 1}
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id: 105189836
{'aut_label': '3D1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 200, 'group_order': 432, 'label': '3D1', 'order': 3, 'powers': [12, 1], 'representative': 144, 'size': 1}
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id: 105189847
{'aut_label': '3D1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 200, 'group_order': 432, 'label': '3D-1', 'order': 3, 'powers': [11, 1], 'representative': 288, 'size': 1}
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id: 105189858
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 200, 'group_order': 432, 'label': '4A1', 'order': 4, 'powers': [2, 14], 'representative': 3, 'size': 1}
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id: 105189869
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 200, 'group_order': 432, 'label': '4A-1', 'order': 4, 'powers': [2, 13], 'representative': 9, 'size': 1}
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id: 105189880
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 200, 'group_order': 432, 'label': '4B1', 'order': 4, 'powers': [3, 16], 'representative': 108, 'size': 1}
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id: 105189891
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 200, 'group_order': 432, 'label': '4B-1', 'order': 4, 'powers': [3, 15], 'representative': 324, 'size': 1}
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id: 105189902
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 200, 'group_order': 432, 'label': '4C1', 'order': 4, 'powers': [3, 18], 'representative': 114, 'size': 1}
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id: 105189913
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 200, 'group_order': 432, 'label': '4C-1', 'order': 4, 'powers': [3, 17], 'representative': 330, 'size': 1}
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id: 105189924
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 19, 'group_counter': 200, 'group_order': 432, 'label': '4D1', 'order': 4, 'powers': [2, 20], 'representative': 219, 'size': 1}
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id: 105189936
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 200, 'group_order': 432, 'label': '4D-1', 'order': 4, 'powers': [2, 19], 'representative': 225, 'size': 1}
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id: 105189947
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 21, 'group_counter': 200, 'group_order': 432, 'label': '4E1', 'order': 4, 'powers': [4, 22], 'representative': 111, 'size': 1}
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id: 105189958
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 22, 'group_counter': 200, 'group_order': 432, 'label': '4E-1', 'order': 4, 'powers': [4, 21], 'representative': 333, 'size': 1}
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id: 105189969
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 23, 'group_counter': 200, 'group_order': 432, 'label': '4F1', 'order': 4, 'powers': [4, 24], 'representative': 327, 'size': 1}
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id: 105189980
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 24, 'group_counter': 200, 'group_order': 432, 'label': '4F-1', 'order': 4, 'powers': [4, 23], 'representative': 117, 'size': 1}
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id: 105189991
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 200, 'group_order': 432, 'label': '6A1', 'order': 6, 'powers': [5, 2], 'representative': 2, 'size': 1}
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id: 105190002
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 26, 'group_counter': 200, 'group_order': 432, 'label': '6A-1', 'order': 6, 'powers': [6, 2], 'representative': 10, 'size': 1}
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id: 105190013
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 27, 'group_counter': 200, 'group_order': 432, 'label': '6B1', 'order': 6, 'powers': [7, 2], 'representative': 290, 'size': 1}
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id: 105190024
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 28, 'group_counter': 200, 'group_order': 432, 'label': '6B-1', 'order': 6, 'powers': [8, 2], 'representative': 154, 'size': 1}
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id: 105190035
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 200, 'group_order': 432, 'label': '6C1', 'order': 6, 'powers': [9, 2], 'representative': 146, 'size': 1}
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id: 105190047
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 200, 'group_order': 432, 'label': '6C-1', 'order': 6, 'powers': [10, 2], 'representative': 298, 'size': 1}
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id: 105190058
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 31, 'group_counter': 200, 'group_order': 432, 'label': '6D1', 'order': 6, 'powers': [7, 3], 'representative': 80, 'size': 1}
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id: 105190069
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 32, 'group_counter': 200, 'group_order': 432, 'label': '6D-1', 'order': 6, 'powers': [8, 3], 'representative': 364, 'size': 1}
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id: 105190080
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 200, 'group_order': 432, 'label': '6E1', 'order': 6, 'powers': [10, 3], 'representative': 76, 'size': 1}
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id: 105190091
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 200, 'group_order': 432, 'label': '6E-1', 'order': 6, 'powers': [9, 3], 'representative': 368, 'size': 1}
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id: 105190102
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 200, 'group_order': 432, 'label': '6F1', 'order': 6, 'powers': [7, 4], 'representative': 74, 'size': 1}
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id: 105190113
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 200, 'group_order': 432, 'label': '6F-1', 'order': 6, 'powers': [8, 4], 'representative': 370, 'size': 1}
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id: 105190124
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 200, 'group_order': 432, 'label': '6G1', 'order': 6, 'powers': [5, 3], 'representative': 224, 'size': 1}
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id: 105190135
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 200, 'group_order': 432, 'label': '6G-1', 'order': 6, 'powers': [6, 3], 'representative': 220, 'size': 1}
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id: 105190146
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 200, 'group_order': 432, 'label': '6H1', 'order': 6, 'powers': [5, 4], 'representative': 218, 'size': 1}
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id: 105190158
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 200, 'group_order': 432, 'label': '6H-1', 'order': 6, 'powers': [6, 4], 'representative': 226, 'size': 1}
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id: 105190169
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 41, 'group_counter': 200, 'group_order': 432, 'label': '6I1', 'order': 6, 'powers': [9, 4], 'representative': 362, 'size': 1}
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id: 105190180
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 200, 'group_order': 432, 'label': '6I-1', 'order': 6, 'powers': [10, 4], 'representative': 82, 'size': 1}
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id: 105190191
{'aut_label': '6J1', 'centralizer': '1.a1', 'counter': 43, 'group_counter': 200, 'group_order': 432, 'label': '6J1', 'order': 6, 'powers': [11, 3], 'representative': 72, 'size': 1}
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id: 105190195
{'aut_label': '6J1', 'centralizer': '1.a1', 'counter': 44, 'group_counter': 200, 'group_order': 432, 'label': '6J-1', 'order': 6, 'powers': [12, 3], 'representative': 360, 'size': 1}
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id: 105190196
{'aut_label': '6J1', 'centralizer': '1.a1', 'counter': 45, 'group_counter': 200, 'group_order': 432, 'label': '6K1', 'order': 6, 'powers': [11, 2], 'representative': 294, 'size': 1}
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id: 105190197
{'aut_label': '6J1', 'centralizer': '1.a1', 'counter': 46, 'group_counter': 200, 'group_order': 432, 'label': '6K-1', 'order': 6, 'powers': [12, 2], 'representative': 150, 'size': 1}
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id: 105190198
{'aut_label': '6J1', 'centralizer': '1.a1', 'counter': 47, 'group_counter': 200, 'group_order': 432, 'label': '6L1', 'order': 6, 'powers': [11, 4], 'representative': 78, 'size': 1}
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id: 105190199
{'aut_label': '6J1', 'centralizer': '1.a1', 'counter': 48, 'group_counter': 200, 'group_order': 432, 'label': '6L-1', 'order': 6, 'powers': [12, 4], 'representative': 366, 'size': 1}
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id: 105190200
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 49, 'group_counter': 200, 'group_order': 432, 'label': '9A1', 'order': 9, 'powers': [51, 11], 'representative': 48, 'size': 1}
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id: 105190202
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 50, 'group_counter': 200, 'group_order': 432, 'label': '9A-1', 'order': 9, 'powers': [52, 12], 'representative': 384, 'size': 1}
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id: 105190203
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 51, 'group_counter': 200, 'group_order': 432, 'label': '9A2', 'order': 9, 'powers': [53, 12], 'representative': 96, 'size': 1}
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id: 105190204
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 52, 'group_counter': 200, 'group_order': 432, 'label': '9A-2', 'order': 9, 'powers': [54, 11], 'representative': 336, 'size': 1}
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id: 105190205
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 53, 'group_counter': 200, 'group_order': 432, 'label': '9A4', 'order': 9, 'powers': [50, 11], 'representative': 192, 'size': 1}
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id: 105190206
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 54, 'group_counter': 200, 'group_order': 432, 'label': '9A-4', 'order': 9, 'powers': [49, 12], 'representative': 240, 'size': 1}
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id: 105190207
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 55, 'group_counter': 200, 'group_order': 432, 'label': '9B1', 'order': 9, 'powers': [57, 11], 'representative': 52, 'size': 1}
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id: 105190208
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 56, 'group_counter': 200, 'group_order': 432, 'label': '9B-1', 'order': 9, 'powers': [58, 12], 'representative': 392, 'size': 1}
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id: 105190209
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 57, 'group_counter': 200, 'group_order': 432, 'label': '9B2', 'order': 9, 'powers': [59, 12], 'representative': 104, 'size': 1}
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id: 105190210
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 58, 'group_counter': 200, 'group_order': 432, 'label': '9B-2', 'order': 9, 'powers': [60, 11], 'representative': 340, 'size': 1}
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id: 105190211
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 59, 'group_counter': 200, 'group_order': 432, 'label': '9B4', 'order': 9, 'powers': [56, 11], 'representative': 196, 'size': 1}
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id: 105190213
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 60, 'group_counter': 200, 'group_order': 432, 'label': '9B-4', 'order': 9, 'powers': [55, 12], 'representative': 248, 'size': 1}
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id: 105190214
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 61, 'group_counter': 200, 'group_order': 432, 'label': '9C1', 'order': 9, 'powers': [63, 11], 'representative': 56, 'size': 1}
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id: 105190215
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 62, 'group_counter': 200, 'group_order': 432, 'label': '9C-1', 'order': 9, 'powers': [64, 12], 'representative': 388, 'size': 1}
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id: 105190216
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 63, 'group_counter': 200, 'group_order': 432, 'label': '9C2', 'order': 9, 'powers': [65, 12], 'representative': 100, 'size': 1}
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id: 105190217
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 64, 'group_counter': 200, 'group_order': 432, 'label': '9C-2', 'order': 9, 'powers': [66, 11], 'representative': 344, 'size': 1}
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id: 105190218
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 65, 'group_counter': 200, 'group_order': 432, 'label': '9C4', 'order': 9, 'powers': [62, 11], 'representative': 200, 'size': 1}
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id: 105190219
{'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 66, 'group_counter': 200, 'group_order': 432, 'label': '9C-4', 'order': 9, 'powers': [61, 12], 'representative': 244, 'size': 1}
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id: 105190220
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 67, 'group_counter': 200, 'group_order': 432, 'label': '12A1', 'order': 12, 'powers': [25, 13], 'representative': 1, 'size': 1}
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id: 105190221
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 68, 'group_counter': 200, 'group_order': 432, 'label': '12A-1', 'order': 12, 'powers': [26, 14], 'representative': 11, 'size': 1}
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id: 105190222
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 200, 'group_order': 432, 'label': '12A5', 'order': 12, 'powers': [26, 13], 'representative': 5, 'size': 1}
-
id: 105190224
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 200, 'group_order': 432, 'label': '12A-5', 'order': 12, 'powers': [25, 14], 'representative': 7, 'size': 1}
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id: 105190225
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 71, 'group_counter': 200, 'group_order': 432, 'label': '12B1', 'order': 12, 'powers': [27, 13], 'representative': 145, 'size': 1}
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id: 105190226
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 72, 'group_counter': 200, 'group_order': 432, 'label': '12B-1', 'order': 12, 'powers': [28, 14], 'representative': 299, 'size': 1}
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id: 105190227
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 200, 'group_order': 432, 'label': '12B5', 'order': 12, 'powers': [28, 13], 'representative': 293, 'size': 1}
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id: 105190228
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 200, 'group_order': 432, 'label': '12B-5', 'order': 12, 'powers': [27, 14], 'representative': 151, 'size': 1}
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id: 105190229
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 200, 'group_order': 432, 'label': '12C1', 'order': 12, 'powers': [29, 13], 'representative': 289, 'size': 1}
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id: 105190230
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 200, 'group_order': 432, 'label': '12C-1', 'order': 12, 'powers': [30, 14], 'representative': 155, 'size': 1}
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id: 105190231
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 200, 'group_order': 432, 'label': '12C5', 'order': 12, 'powers': [30, 13], 'representative': 149, 'size': 1}
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id: 105190232
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 200, 'group_order': 432, 'label': '12C-5', 'order': 12, 'powers': [29, 14], 'representative': 295, 'size': 1}
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id: 105190233
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 200, 'group_order': 432, 'label': '12D1', 'order': 12, 'powers': [31, 15], 'representative': 40, 'size': 1}
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id: 105190235
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 200, 'group_order': 432, 'label': '12D-1', 'order': 12, 'powers': [32, 16], 'representative': 404, 'size': 1}
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id: 105190236
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 81, 'group_counter': 200, 'group_order': 432, 'label': '12D5', 'order': 12, 'powers': [32, 15], 'representative': 188, 'size': 1}
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id: 105190237
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 82, 'group_counter': 200, 'group_order': 432, 'label': '12D-5', 'order': 12, 'powers': [31, 16], 'representative': 256, 'size': 1}
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id: 105190238
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 83, 'group_counter': 200, 'group_order': 432, 'label': '12E1', 'order': 12, 'powers': [33, 17], 'representative': 38, 'size': 1}
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id: 105190239
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 84, 'group_counter': 200, 'group_order': 432, 'label': '12E-1', 'order': 12, 'powers': [34, 18], 'representative': 406, 'size': 1}
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id: 105190240
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 85, 'group_counter': 200, 'group_order': 432, 'label': '12E5', 'order': 12, 'powers': [34, 17], 'representative': 190, 'size': 1}
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id: 105190241
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 86, 'group_counter': 200, 'group_order': 432, 'label': '12E-5', 'order': 12, 'powers': [33, 18], 'representative': 254, 'size': 1}
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id: 105190242
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 87, 'group_counter': 200, 'group_order': 432, 'label': '12F1', 'order': 12, 'powers': [29, 19], 'representative': 73, 'size': 1}
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id: 105190243
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 88, 'group_counter': 200, 'group_order': 432, 'label': '12F-1', 'order': 12, 'powers': [30, 20], 'representative': 371, 'size': 1}
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id: 105190244
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 89, 'group_counter': 200, 'group_order': 432, 'label': '12F5', 'order': 12, 'powers': [30, 19], 'representative': 365, 'size': 1}
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id: 105190246
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 90, 'group_counter': 200, 'group_order': 432, 'label': '12F-5', 'order': 12, 'powers': [29, 20], 'representative': 79, 'size': 1}
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id: 105190247
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 91, 'group_counter': 200, 'group_order': 432, 'label': '12G1', 'order': 12, 'powers': [35, 21], 'representative': 37, 'size': 1}
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id: 105190248
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 92, 'group_counter': 200, 'group_order': 432, 'label': '12G-1', 'order': 12, 'powers': [36, 22], 'representative': 407, 'size': 1}
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id: 105190249
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 93, 'group_counter': 200, 'group_order': 432, 'label': '12G5', 'order': 12, 'powers': [36, 21], 'representative': 185, 'size': 1}
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id: 105190250
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 94, 'group_counter': 200, 'group_order': 432, 'label': '12G-5', 'order': 12, 'powers': [35, 22], 'representative': 259, 'size': 1}
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id: 105190251
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 95, 'group_counter': 200, 'group_order': 432, 'label': '12H1', 'order': 12, 'powers': [37, 16], 'representative': 112, 'size': 1}
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id: 105190252
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 96, 'group_counter': 200, 'group_order': 432, 'label': '12H-1', 'order': 12, 'powers': [38, 15], 'representative': 332, 'size': 1}
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id: 105190253
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 97, 'group_counter': 200, 'group_order': 432, 'label': '12H5', 'order': 12, 'powers': [38, 16], 'representative': 116, 'size': 1}
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id: 105190254
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 98, 'group_counter': 200, 'group_order': 432, 'label': '12H-5', 'order': 12, 'powers': [37, 15], 'representative': 328, 'size': 1}
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id: 105190255
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 99, 'group_counter': 200, 'group_order': 432, 'label': '12I1', 'order': 12, 'powers': [33, 15], 'representative': 44, 'size': 1}
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id: 105189826
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 100, 'group_counter': 200, 'group_order': 432, 'label': '12I-1', 'order': 12, 'powers': [34, 16], 'representative': 400, 'size': 1}
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id: 105189827
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 101, 'group_counter': 200, 'group_order': 432, 'label': '12I5', 'order': 12, 'powers': [34, 15], 'representative': 184, 'size': 1}
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id: 105189828
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 102, 'group_counter': 200, 'group_order': 432, 'label': '12I-5', 'order': 12, 'powers': [33, 16], 'representative': 260, 'size': 1}
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id: 105189829
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 103, 'group_counter': 200, 'group_order': 432, 'label': '12J1', 'order': 12, 'powers': [38, 18], 'representative': 110, 'size': 1}
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id: 105189830
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 104, 'group_counter': 200, 'group_order': 432, 'label': '12J-1', 'order': 12, 'powers': [37, 17], 'representative': 334, 'size': 1}
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id: 105189831
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 105, 'group_counter': 200, 'group_order': 432, 'label': '12J5', 'order': 12, 'powers': [37, 18], 'representative': 118, 'size': 1}
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id: 105189832
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 106, 'group_counter': 200, 'group_order': 432, 'label': '12J-5', 'order': 12, 'powers': [38, 17], 'representative': 326, 'size': 1}
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id: 105189833
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 107, 'group_counter': 200, 'group_order': 432, 'label': '12K1', 'order': 12, 'powers': [39, 23], 'representative': 109, 'size': 1}
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id: 105189834
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 108, 'group_counter': 200, 'group_order': 432, 'label': '12K-1', 'order': 12, 'powers': [40, 24], 'representative': 335, 'size': 1}
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id: 105189835
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 109, 'group_counter': 200, 'group_order': 432, 'label': '12K5', 'order': 12, 'powers': [40, 23], 'representative': 113, 'size': 1}
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id: 105189837
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 110, 'group_counter': 200, 'group_order': 432, 'label': '12K-5', 'order': 12, 'powers': [39, 24], 'representative': 331, 'size': 1}
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id: 105189838
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 111, 'group_counter': 200, 'group_order': 432, 'label': '12L1', 'order': 12, 'powers': [32, 17], 'representative': 182, 'size': 1}
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id: 105189839
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 112, 'group_counter': 200, 'group_order': 432, 'label': '12L-1', 'order': 12, 'powers': [31, 18], 'representative': 262, 'size': 1}
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id: 105189840
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 113, 'group_counter': 200, 'group_order': 432, 'label': '12L5', 'order': 12, 'powers': [31, 17], 'representative': 46, 'size': 1}
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id: 105189841
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 114, 'group_counter': 200, 'group_order': 432, 'label': '12L-5', 'order': 12, 'powers': [32, 18], 'representative': 398, 'size': 1}
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id: 105189842
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 115, 'group_counter': 200, 'group_order': 432, 'label': '12M1', 'order': 12, 'powers': [25, 19], 'representative': 217, 'size': 1}
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id: 105189843
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 116, 'group_counter': 200, 'group_order': 432, 'label': '12M-1', 'order': 12, 'powers': [26, 20], 'representative': 227, 'size': 1}
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id: 105189844
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 117, 'group_counter': 200, 'group_order': 432, 'label': '12M5', 'order': 12, 'powers': [26, 19], 'representative': 221, 'size': 1}
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id: 105189845
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 118, 'group_counter': 200, 'group_order': 432, 'label': '12M-5', 'order': 12, 'powers': [25, 20], 'representative': 223, 'size': 1}
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id: 105189846
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 119, 'group_counter': 200, 'group_order': 432, 'label': '12N1', 'order': 12, 'powers': [41, 21], 'representative': 181, 'size': 1}
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id: 105189848
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 120, 'group_counter': 200, 'group_order': 432, 'label': '12N-1', 'order': 12, 'powers': [42, 22], 'representative': 263, 'size': 1}
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id: 105189849
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 121, 'group_counter': 200, 'group_order': 432, 'label': '12N5', 'order': 12, 'powers': [42, 21], 'representative': 41, 'size': 1}
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id: 105189850
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 122, 'group_counter': 200, 'group_order': 432, 'label': '12N-5', 'order': 12, 'powers': [41, 22], 'representative': 403, 'size': 1}
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id: 105189851
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 123, 'group_counter': 200, 'group_order': 432, 'label': '12O1', 'order': 12, 'powers': [28, 19], 'representative': 77, 'size': 1}
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id: 105189852
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 124, 'group_counter': 200, 'group_order': 432, 'label': '12O-1', 'order': 12, 'powers': [27, 20], 'representative': 367, 'size': 1}
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id: 105189853
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 125, 'group_counter': 200, 'group_order': 432, 'label': '12O5', 'order': 12, 'powers': [27, 19], 'representative': 361, 'size': 1}
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id: 105189854
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 126, 'group_counter': 200, 'group_order': 432, 'label': '12O-5', 'order': 12, 'powers': [28, 20], 'representative': 83, 'size': 1}
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id: 105189855
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 127, 'group_counter': 200, 'group_order': 432, 'label': '12P1', 'order': 12, 'powers': [35, 23], 'representative': 253, 'size': 1}
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id: 105189856
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 128, 'group_counter': 200, 'group_order': 432, 'label': '12P-1', 'order': 12, 'powers': [36, 24], 'representative': 191, 'size': 1}
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id: 105189857
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 129, 'group_counter': 200, 'group_order': 432, 'label': '12P5', 'order': 12, 'powers': [36, 23], 'representative': 401, 'size': 1}
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id: 105189859
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 130, 'group_counter': 200, 'group_order': 432, 'label': '12P-5', 'order': 12, 'powers': [35, 24], 'representative': 43, 'size': 1}
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id: 105189860
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 131, 'group_counter': 200, 'group_order': 432, 'label': '12Q1', 'order': 12, 'powers': [39, 21], 'representative': 325, 'size': 1}
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id: 105189861
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 132, 'group_counter': 200, 'group_order': 432, 'label': '12Q-1', 'order': 12, 'powers': [40, 22], 'representative': 119, 'size': 1}
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id: 105189862
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 133, 'group_counter': 200, 'group_order': 432, 'label': '12Q5', 'order': 12, 'powers': [40, 21], 'representative': 329, 'size': 1}
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id: 105189863
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 134, 'group_counter': 200, 'group_order': 432, 'label': '12Q-5', 'order': 12, 'powers': [39, 22], 'representative': 115, 'size': 1}
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id: 105189864
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 135, 'group_counter': 200, 'group_order': 432, 'label': '12R1', 'order': 12, 'powers': [41, 23], 'representative': 397, 'size': 1}
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id: 105189865
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 136, 'group_counter': 200, 'group_order': 432, 'label': '12R-1', 'order': 12, 'powers': [42, 24], 'representative': 47, 'size': 1}
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id: 105189866
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 137, 'group_counter': 200, 'group_order': 432, 'label': '12R5', 'order': 12, 'powers': [42, 23], 'representative': 257, 'size': 1}
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id: 105189867
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 138, 'group_counter': 200, 'group_order': 432, 'label': '12R-5', 'order': 12, 'powers': [41, 24], 'representative': 187, 'size': 1}
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id: 105189868
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 139, 'group_counter': 200, 'group_order': 432, 'label': '12S1', 'order': 12, 'powers': [43, 15], 'representative': 36, 'size': 1}
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id: 105189870
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 140, 'group_counter': 200, 'group_order': 432, 'label': '12S-1', 'order': 12, 'powers': [44, 16], 'representative': 396, 'size': 1}
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id: 105189871
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 141, 'group_counter': 200, 'group_order': 432, 'label': '12S5', 'order': 12, 'powers': [44, 15], 'representative': 180, 'size': 1}
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id: 105189872
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 142, 'group_counter': 200, 'group_order': 432, 'label': '12S-5', 'order': 12, 'powers': [43, 16], 'representative': 252, 'size': 1}
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id: 105189873
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 143, 'group_counter': 200, 'group_order': 432, 'label': '12T1', 'order': 12, 'powers': [43, 17], 'representative': 42, 'size': 1}
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id: 105189874
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 144, 'group_counter': 200, 'group_order': 432, 'label': '12T-1', 'order': 12, 'powers': [44, 18], 'representative': 402, 'size': 1}
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id: 105189875
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 145, 'group_counter': 200, 'group_order': 432, 'label': '12T5', 'order': 12, 'powers': [44, 17], 'representative': 186, 'size': 1}
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id: 105189876
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 146, 'group_counter': 200, 'group_order': 432, 'label': '12T-5', 'order': 12, 'powers': [43, 18], 'representative': 258, 'size': 1}
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id: 105189877
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 147, 'group_counter': 200, 'group_order': 432, 'label': '12U1', 'order': 12, 'powers': [45, 14], 'representative': 147, 'size': 1}
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id: 105189878
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 148, 'group_counter': 200, 'group_order': 432, 'label': '12U-1', 'order': 12, 'powers': [46, 13], 'representative': 297, 'size': 1}
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id: 105189879
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 149, 'group_counter': 200, 'group_order': 432, 'label': '12U5', 'order': 12, 'powers': [46, 14], 'representative': 291, 'size': 1}
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id: 105189881
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 150, 'group_counter': 200, 'group_order': 432, 'label': '12U-5', 'order': 12, 'powers': [45, 13], 'representative': 153, 'size': 1}
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id: 105189882
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 151, 'group_counter': 200, 'group_order': 432, 'label': '12V1', 'order': 12, 'powers': [46, 20], 'representative': 75, 'size': 1}
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id: 105189883
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 152, 'group_counter': 200, 'group_order': 432, 'label': '12V-1', 'order': 12, 'powers': [45, 19], 'representative': 369, 'size': 1}
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id: 105189884
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 153, 'group_counter': 200, 'group_order': 432, 'label': '12V5', 'order': 12, 'powers': [45, 20], 'representative': 363, 'size': 1}
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id: 105189885
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 154, 'group_counter': 200, 'group_order': 432, 'label': '12V-5', 'order': 12, 'powers': [46, 19], 'representative': 81, 'size': 1}
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id: 105189886
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 155, 'group_counter': 200, 'group_order': 432, 'label': '12W1', 'order': 12, 'powers': [47, 24], 'representative': 39, 'size': 1}
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id: 105189887
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 156, 'group_counter': 200, 'group_order': 432, 'label': '12W-1', 'order': 12, 'powers': [48, 23], 'representative': 405, 'size': 1}
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id: 105189888
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 157, 'group_counter': 200, 'group_order': 432, 'label': '12W5', 'order': 12, 'powers': [48, 24], 'representative': 183, 'size': 1}
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id: 105189889
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 158, 'group_counter': 200, 'group_order': 432, 'label': '12W-5', 'order': 12, 'powers': [47, 23], 'representative': 261, 'size': 1}
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id: 105189890
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 159, 'group_counter': 200, 'group_order': 432, 'label': '12X1', 'order': 12, 'powers': [47, 21], 'representative': 45, 'size': 1}
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id: 105189892
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 160, 'group_counter': 200, 'group_order': 432, 'label': '12X-1', 'order': 12, 'powers': [48, 22], 'representative': 399, 'size': 1}
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id: 105189893
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 161, 'group_counter': 200, 'group_order': 432, 'label': '12X5', 'order': 12, 'powers': [48, 21], 'representative': 189, 'size': 1}
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id: 105189894
{'aut_label': '12S1', 'centralizer': '1.a1', 'counter': 162, 'group_counter': 200, 'group_order': 432, 'label': '12X-5', 'order': 12, 'powers': [47, 22], 'representative': 255, 'size': 1}
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id: 105189895
{'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 163, 'group_counter': 200, 'group_order': 432, 'label': '18A1', 'order': 18, 'powers': [49, 43], 'representative': 24, 'size': 1}
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id: 105189896
{'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 164, 'group_counter': 200, 'group_order': 432, 'label': '18A-1', 'order': 18, 'powers': [50, 44], 'representative': 408, 'size': 1}
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id: 105189897
{'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 165, 'group_counter': 200, 'group_order': 432, 'label': '18A5', 'order': 18, 'powers': [54, 44], 'representative': 120, 'size': 1}
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id: 105189898
{'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 166, 'group_counter': 200, 'group_order': 432, 'label': '18A-5', 'order': 18, 'powers': [53, 43], 'representative': 312, 'size': 1}
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id: 105189899
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id: 105189930
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id: 105189945
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id: 105189950
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id: 105189951
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id: 105189952
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id: 105189953
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id: 105189954
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id: 105189988
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id: 105189989
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id: 105189990
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id: 105189992
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id: 105189993
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id: 105189994
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id: 105189995
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id: 105189996
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id: 105189997
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id: 105189998
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id: 105189999
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id: 105190000
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id: 105190001
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id: 105190003
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id: 105190004
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id: 105190005
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id: 105190029
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id: 105190031
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id: 105190032
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id: 105190033
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id: 105190036
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id: 105190037
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id: 105190039
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id: 105190040
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id: 105190041
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id: 105190042
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id: 105190043
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id: 105190044
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id: 105190045
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id: 105190048
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id: 105190049
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id: 105190050
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id: 105190052
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id: 105190053
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id: 105190054
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id: 105190055
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id: 105190056
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id: 105190057
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id: 105190059
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id: 105190060
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id: 105190061
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id: 105190062
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id: 105190063
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id: 105190064
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id: 105190065
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id: 105190066
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id: 105190067
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id: 105190068
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id: 105190070
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id: 105190071
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id: 105190072
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id: 105190073
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id: 105190074
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id: 105190075
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id: 105190076
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id: 105190078
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id: 105190101
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-
id: 105190114
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 360, 'group_counter': 200, 'group_order': 432, 'label': '36L-17', 'order': 36, 'powers': [183, 154], 'representative': 35, 'size': 1}
-
id: 105190115
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 361, 'group_counter': 200, 'group_order': 432, 'label': '36M1', 'order': 36, 'powers': [205, 150], 'representative': 51, 'size': 1}
-
id: 105190116
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 362, 'group_counter': 200, 'group_order': 432, 'label': '36M-1', 'order': 36, 'powers': [206, 149], 'representative': 393, 'size': 1}
-
id: 105190117
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 363, 'group_counter': 200, 'group_order': 432, 'label': '36M5', 'order': 36, 'powers': [207, 148], 'representative': 243, 'size': 1}
-
id: 105190118
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 364, 'group_counter': 200, 'group_order': 432, 'label': '36M-5', 'order': 36, 'powers': [208, 147], 'representative': 201, 'size': 1}
-
id: 105190119
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 365, 'group_counter': 200, 'group_order': 432, 'label': '36M7', 'order': 36, 'powers': [209, 147], 'representative': 345, 'size': 1}
-
id: 105190120
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 366, 'group_counter': 200, 'group_order': 432, 'label': '36M-7', 'order': 36, 'powers': [210, 148], 'representative': 99, 'size': 1}
-
id: 105190121
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 367, 'group_counter': 200, 'group_order': 432, 'label': '36M11', 'order': 36, 'powers': [210, 149], 'representative': 105, 'size': 1}
-
id: 105190122
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 368, 'group_counter': 200, 'group_order': 432, 'label': '36M-11', 'order': 36, 'powers': [209, 150], 'representative': 339, 'size': 1}
-
id: 105190123
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 369, 'group_counter': 200, 'group_order': 432, 'label': '36M13', 'order': 36, 'powers': [208, 150], 'representative': 195, 'size': 1}
-
id: 105190125
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 370, 'group_counter': 200, 'group_order': 432, 'label': '36M-13', 'order': 36, 'powers': [207, 149], 'representative': 249, 'size': 1}
-
id: 105190126
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 371, 'group_counter': 200, 'group_order': 432, 'label': '36M17', 'order': 36, 'powers': [206, 148], 'representative': 387, 'size': 1}
-
id: 105190127
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 372, 'group_counter': 200, 'group_order': 432, 'label': '36M-17', 'order': 36, 'powers': [205, 147], 'representative': 57, 'size': 1}
-
id: 105190128
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 373, 'group_counter': 200, 'group_order': 432, 'label': '36N1', 'order': 36, 'powers': [207, 154], 'representative': 27, 'size': 1}
-
id: 105190129
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 374, 'group_counter': 200, 'group_order': 432, 'label': '36N-1', 'order': 36, 'powers': [208, 153], 'representative': 417, 'size': 1}
-
id: 105190130
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 375, 'group_counter': 200, 'group_order': 432, 'label': '36N5', 'order': 36, 'powers': [209, 152], 'representative': 123, 'size': 1}
-
id: 105190131
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 376, 'group_counter': 200, 'group_order': 432, 'label': '36N-5', 'order': 36, 'powers': [210, 151], 'representative': 321, 'size': 1}
-
id: 105190132
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 377, 'group_counter': 200, 'group_order': 432, 'label': '36N7', 'order': 36, 'powers': [206, 151], 'representative': 177, 'size': 1}
-
id: 105190133
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 378, 'group_counter': 200, 'group_order': 432, 'label': '36N-7', 'order': 36, 'powers': [205, 152], 'representative': 267, 'size': 1}
-
id: 105190134
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 379, 'group_counter': 200, 'group_order': 432, 'label': '36N11', 'order': 36, 'powers': [205, 153], 'representative': 273, 'size': 1}
-
id: 105190136
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 380, 'group_counter': 200, 'group_order': 432, 'label': '36N-11', 'order': 36, 'powers': [206, 154], 'representative': 171, 'size': 1}
-
id: 105190137
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 381, 'group_counter': 200, 'group_order': 432, 'label': '36N13', 'order': 36, 'powers': [210, 154], 'representative': 315, 'size': 1}
-
id: 105190138
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 382, 'group_counter': 200, 'group_order': 432, 'label': '36N-13', 'order': 36, 'powers': [209, 153], 'representative': 129, 'size': 1}
-
id: 105190139
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 383, 'group_counter': 200, 'group_order': 432, 'label': '36N17', 'order': 36, 'powers': [208, 152], 'representative': 411, 'size': 1}
-
id: 105190140
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 384, 'group_counter': 200, 'group_order': 432, 'label': '36N-17', 'order': 36, 'powers': [207, 151], 'representative': 33, 'size': 1}
-
id: 105190141
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 385, 'group_counter': 200, 'group_order': 432, 'label': '36O1', 'order': 36, 'powers': [211, 159], 'representative': 15, 'size': 1}
-
id: 105190142
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 386, 'group_counter': 200, 'group_order': 432, 'label': '36O-1', 'order': 36, 'powers': [212, 160], 'representative': 429, 'size': 1}
-
id: 105190143
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 387, 'group_counter': 200, 'group_order': 432, 'label': '36O5', 'order': 36, 'powers': [213, 161], 'representative': 63, 'size': 1}
-
id: 105190144
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 388, 'group_counter': 200, 'group_order': 432, 'label': '36O-5', 'order': 36, 'powers': [214, 162], 'representative': 381, 'size': 1}
-
id: 105190145
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 389, 'group_counter': 200, 'group_order': 432, 'label': '36O7', 'order': 36, 'powers': [215, 162], 'representative': 93, 'size': 1}
-
id: 105190147
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 390, 'group_counter': 200, 'group_order': 432, 'label': '36O-7', 'order': 36, 'powers': [216, 161], 'representative': 351, 'size': 1}
-
id: 105190148
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 391, 'group_counter': 200, 'group_order': 432, 'label': '36O11', 'order': 36, 'powers': [216, 160], 'representative': 141, 'size': 1}
-
id: 105190149
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 392, 'group_counter': 200, 'group_order': 432, 'label': '36O-11', 'order': 36, 'powers': [215, 159], 'representative': 303, 'size': 1}
-
id: 105190150
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 393, 'group_counter': 200, 'group_order': 432, 'label': '36O13', 'order': 36, 'powers': [214, 159], 'representative': 159, 'size': 1}
-
id: 105190151
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 394, 'group_counter': 200, 'group_order': 432, 'label': '36O-13', 'order': 36, 'powers': [213, 160], 'representative': 285, 'size': 1}
-
id: 105190152
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 395, 'group_counter': 200, 'group_order': 432, 'label': '36O17', 'order': 36, 'powers': [212, 161], 'representative': 207, 'size': 1}
-
id: 105190153
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 396, 'group_counter': 200, 'group_order': 432, 'label': '36O-17', 'order': 36, 'powers': [211, 162], 'representative': 237, 'size': 1}
-
id: 105190154
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 397, 'group_counter': 200, 'group_order': 432, 'label': '36P1', 'order': 36, 'powers': [211, 155], 'representative': 21, 'size': 1}
-
id: 105190155
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 398, 'group_counter': 200, 'group_order': 432, 'label': '36P-1', 'order': 36, 'powers': [212, 156], 'representative': 423, 'size': 1}
-
id: 105190156
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 399, 'group_counter': 200, 'group_order': 432, 'label': '36P5', 'order': 36, 'powers': [213, 157], 'representative': 69, 'size': 1}
-
id: 105190159
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 400, 'group_counter': 200, 'group_order': 432, 'label': '36P-5', 'order': 36, 'powers': [214, 158], 'representative': 375, 'size': 1}
-
id: 105190160
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 401, 'group_counter': 200, 'group_order': 432, 'label': '36P7', 'order': 36, 'powers': [215, 158], 'representative': 87, 'size': 1}
-
id: 105190161
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 402, 'group_counter': 200, 'group_order': 432, 'label': '36P-7', 'order': 36, 'powers': [216, 157], 'representative': 357, 'size': 1}
-
id: 105190162
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 403, 'group_counter': 200, 'group_order': 432, 'label': '36P11', 'order': 36, 'powers': [216, 156], 'representative': 135, 'size': 1}
-
id: 105190163
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 404, 'group_counter': 200, 'group_order': 432, 'label': '36P-11', 'order': 36, 'powers': [215, 155], 'representative': 309, 'size': 1}
-
id: 105190164
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 405, 'group_counter': 200, 'group_order': 432, 'label': '36P13', 'order': 36, 'powers': [214, 155], 'representative': 165, 'size': 1}
-
id: 105190165
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 406, 'group_counter': 200, 'group_order': 432, 'label': '36P-13', 'order': 36, 'powers': [213, 156], 'representative': 279, 'size': 1}
-
id: 105190166
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 407, 'group_counter': 200, 'group_order': 432, 'label': '36P17', 'order': 36, 'powers': [212, 157], 'representative': 213, 'size': 1}
-
id: 105190167
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 408, 'group_counter': 200, 'group_order': 432, 'label': '36P-17', 'order': 36, 'powers': [211, 158], 'representative': 231, 'size': 1}
-
id: 105190168
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 409, 'group_counter': 200, 'group_order': 432, 'label': '36Q1', 'order': 36, 'powers': [197, 162], 'representative': 85, 'size': 1}
-
id: 105190170
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 410, 'group_counter': 200, 'group_order': 432, 'label': '36Q-1', 'order': 36, 'powers': [198, 161], 'representative': 359, 'size': 1}
-
id: 105190171
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 411, 'group_counter': 200, 'group_order': 432, 'label': '36Q5', 'order': 36, 'powers': [194, 160], 'representative': 425, 'size': 1}
-
id: 105190172
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 412, 'group_counter': 200, 'group_order': 432, 'label': '36Q-5', 'order': 36, 'powers': [193, 159], 'representative': 19, 'size': 1}
-
id: 105190173
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 413, 'group_counter': 200, 'group_order': 432, 'label': '36Q7', 'order': 36, 'powers': [196, 159], 'representative': 163, 'size': 1}
-
id: 105190174
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 414, 'group_counter': 200, 'group_order': 432, 'label': '36Q-7', 'order': 36, 'powers': [195, 160], 'representative': 281, 'size': 1}
-
id: 105190175
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 415, 'group_counter': 200, 'group_order': 432, 'label': '36Q11', 'order': 36, 'powers': [195, 161], 'representative': 71, 'size': 1}
-
id: 105190176
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 416, 'group_counter': 200, 'group_order': 432, 'label': '36Q-11', 'order': 36, 'powers': [196, 162], 'representative': 373, 'size': 1}
-
id: 105190177
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 417, 'group_counter': 200, 'group_order': 432, 'label': '36Q13', 'order': 36, 'powers': [193, 162], 'representative': 229, 'size': 1}
-
id: 105190178
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 418, 'group_counter': 200, 'group_order': 432, 'label': '36Q-13', 'order': 36, 'powers': [194, 161], 'representative': 215, 'size': 1}
-
id: 105190179
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 419, 'group_counter': 200, 'group_order': 432, 'label': '36Q17', 'order': 36, 'powers': [198, 160], 'representative': 137, 'size': 1}
-
id: 105190181
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 420, 'group_counter': 200, 'group_order': 432, 'label': '36Q-17', 'order': 36, 'powers': [197, 159], 'representative': 307, 'size': 1}
-
id: 105190182
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 421, 'group_counter': 200, 'group_order': 432, 'label': '36R1', 'order': 36, 'powers': [202, 160], 'representative': 133, 'size': 1}
-
id: 105190183
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 422, 'group_counter': 200, 'group_order': 432, 'label': '36R-1', 'order': 36, 'powers': [201, 159], 'representative': 311, 'size': 1}
-
id: 105190184
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 423, 'group_counter': 200, 'group_order': 432, 'label': '36R5', 'order': 36, 'powers': [204, 162], 'representative': 233, 'size': 1}
-
id: 105190185
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 424, 'group_counter': 200, 'group_order': 432, 'label': '36R-5', 'order': 36, 'powers': [203, 161], 'representative': 211, 'size': 1}
-
id: 105190186
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 425, 'group_counter': 200, 'group_order': 432, 'label': '36R7', 'order': 36, 'powers': [199, 161], 'representative': 67, 'size': 1}
-
id: 105190187
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 426, 'group_counter': 200, 'group_order': 432, 'label': '36R-7', 'order': 36, 'powers': [200, 162], 'representative': 377, 'size': 1}
-
id: 105190188
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 427, 'group_counter': 200, 'group_order': 432, 'label': '36R11', 'order': 36, 'powers': [200, 159], 'representative': 167, 'size': 1}
-
id: 105190189
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 428, 'group_counter': 200, 'group_order': 432, 'label': '36R-11', 'order': 36, 'powers': [199, 160], 'representative': 277, 'size': 1}
-
id: 105190190
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 429, 'group_counter': 200, 'group_order': 432, 'label': '36R13', 'order': 36, 'powers': [203, 160], 'representative': 421, 'size': 1}
-
id: 105190192
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 430, 'group_counter': 200, 'group_order': 432, 'label': '36R-13', 'order': 36, 'powers': [204, 159], 'representative': 23, 'size': 1}
-
id: 105190193
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 431, 'group_counter': 200, 'group_order': 432, 'label': '36R17', 'order': 36, 'powers': [201, 162], 'representative': 89, 'size': 1}
-
id: 105190194
{'aut_label': '36A1', 'centralizer': '1.a1', 'counter': 432, 'group_counter': 200, 'group_order': 432, 'label': '36R-17', 'order': 36, 'powers': [202, 161], 'representative': 355, 'size': 1}
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gps_qchar • Show schema
Hide schema
-
id: 3353509
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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}
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id: 3353520
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{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1h', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [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, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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}
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id: 3353588
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, -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, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, -2, 2, -2, -2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 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, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 2, 2, 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, 2, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 0, 2, -2, 2, 2, -2, 0, 0, 0, 0, -2, 2, 2, 0, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 0, -2, 0, -2, 2, 0, 0, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 3353510
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 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, 2, 2, -2, 0, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, -2, 2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, -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, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 0, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, -2, -2, -2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, -2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 0, -2, 2, -2, -2, 2, 0, 0, 0, 0, 2, -2, -2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 2, 0, 2, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 3353511
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, -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, 2, 2, 2, 0, -2, 0, 0, -2, 2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 2, -2, 2, 0, 2, -2, 0, -2, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -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, -2, -2, 0, -2, -2, 0, -2, 0, 0, 0, -2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 2, -2, -2, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0], 'schur_index': 1}
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id: 3353512
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 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, 2, 2, 2, 0, 2, 0, 0, 2, -2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 0, -2, 2, 0, 2, 0, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -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, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, -2, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, -2, 0, 0, -2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 2, 2, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, -2, -2, 0], 'schur_index': 1}
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id: 3353513
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1m', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 0, -2, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -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, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 2, -2, -2, 2, 0, 0, -2, 0, 2, -2, -2, 2, -2, 2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -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, 2, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -2, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, -2, 2, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 0, -2, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, 2, -2, 0, 0, -2, 0, 0, 2], 'schur_index': 1}
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id: 3353514
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1n', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -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, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, -2, 2, 2, -2, 0, 0, 2, 0, -2, 2, 2, -2, 2, -2, 0, 0, 2, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -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, -2, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, 0, -2, -2, 0, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, -2, -2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, -2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, -2, 2, 0, 0, 2, 0, 0, -2], 'schur_index': 1}
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id: 3353515
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id: 3353516
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id: 3353517
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id: 3353518
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id: 3353519
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id: 3353521
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id: 3353522
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id: 3353523
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id: 3353524
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id: 3353525
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1x', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [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, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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, -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, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -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}
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id: 3353526
{'cdim': 1, 'counter': 25, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1y', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [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, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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, -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, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 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}
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id: 3353527
{'cdim': 1, 'counter': 26, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1z', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -2, 2, 2, -2, -2, -2, -2, 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, -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, 2, -2, 2, 2, 2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 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}
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id: 3353528
{'cdim': 1, 'counter': 27, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1aa', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -2, -2, -2, -2, -2, -2, 4, 4, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4, 0, 4, -2, -2, -2, 2, 2, -2, 2, 2, -4, 2, 4, -4, 2, 2, 2, 2, 2, -4, 2, -2, -4, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, 4, 4, -2, -2, 4, -2, 0, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, -2, 2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, -2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, -4, -4, -2, 0, 4, 2, 2, 2, -2, 2, -4, -4, -4, 2, 2, 2, -4, 2, 2, -2, -4, 4, 4, -2, 4, -4, 2, 2, 2, 2, 2, 2, -2, 2, 4, -4, 4, -4, 2, 2, 2, -4, -4, 2, -2, 4, -2, 2, -4, -2, -2, -2, -4, -2, -2, -2, 2, 2, 2, 2, 0, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, -2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, 2, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, -4, 0, 0, -2, 0, -4, -2, -2, 4, -4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 4, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -4, -2, 4, -4, 0, 4, 2, 4, -2, 2, 0, 0, 0, 0, 2, 4, 4, 0, 2, 2, 0, -4, -4, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 2, 0, 2, 0, 4, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 3353529
{'cdim': 1, 'counter': 28, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1ab', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -2, -2, -2, -2, -2, -2, 4, 4, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4, 0, 4, -2, -2, -2, 2, 2, -2, 2, 2, -4, 2, 4, -4, 2, 2, 2, 2, 2, -4, 2, -2, -4, 2, -2, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, 0, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, -2, 2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, -2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, -4, -4, -2, 0, 4, 2, 2, 2, 4, 2, 2, 2, 2, -4, 2, 2, 2, -4, -4, 4, 2, -2, -2, 4, -2, 2, -4, -4, -4, -4, -4, 2, 4, 2, -2, 2, -2, 2, 2, -4, -4, 2, 2, -4, 4, -2, 4, -4, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 0, -2, -2, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 4, -2, 2, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, 2, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, 4, 4, -2, 2, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, -4, -2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 2, 4, -2, 2, 0, -2, -4, -2, 4, -4, 0, 0, 0, 0, -4, -2, -2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -4, 0, -4, 0, 2, -2, 0, 0, 0, 2, 0, 2, 0, -2, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 3353530
{'cdim': 1, 'counter': 29, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1ac', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -2, -2, -2, -2, -2, -2, 4, 4, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4, 0, 4, -2, -2, -2, 2, 2, -2, 2, 2, -4, 2, 4, -4, 2, 2, 2, 2, 2, -4, 2, -2, -4, 2, -2, 4, -2, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, 0, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, -2, 2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, -2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, -4, -4, -2, 0, 4, 2, -4, -4, -2, -4, 2, 2, 2, 2, -4, -4, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -4, -2, -4, -2, 2, -2, 2, -4, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 4, 4, 4, 2, 4, 4, 4, -4, -4, -4, -4, 0, 4, 4, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 4, -4, 0, 0, 0, 0, 0, 0, 4, -4, 4, 0, -4, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 0, 0, 0, 0, 2, 0, 0, 4, 0, 2, -2, -2, -2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, -2, 0, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 0, -2, 2, -2, -2, 2, 0, 0, 0, 0, 2, -2, -2, 0, -4, -4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, -4, 4, 0, 0, 0, -4, 0, -4, 0, -2, 0, 0, 0, 0, -2, 2, 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}
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id: 3353532
{'cdim': 1, 'counter': 30, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1ad', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -2, -2, -2, -2, -2, -2, 4, 4, 4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 4, 0, 4, -2, -2, -2, 2, 2, -2, 2, 2, -4, 2, 4, -4, 2, 2, 2, 2, 2, -4, 2, -2, -4, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, 4, 4, -2, -2, 4, 2, 0, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, -2, 2, -2, -2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 4, 4, 2, 0, -4, -2, 2, 2, -2, 2, -4, -4, -4, 2, 2, 2, -4, 2, 2, -2, -4, 4, 4, -2, 4, -4, 2, 2, 2, 2, 2, 2, -2, 2, 4, -4, 4, -4, 2, 2, 2, -4, -4, 2, -2, 4, -2, 2, -4, -2, -2, -2, -4, -2, -2, -2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 2, 2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, -2, 0, -4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, 0, 4, 0, 0, 2, 0, 4, 2, 2, -4, 4, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, -4, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 4, 2, -4, 4, 0, -4, -2, -4, 2, -2, 0, 0, 0, 0, -2, -4, -4, 0, -2, -2, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, -2, 0, -2, 0, -2, 2, 0, 0, 0, -2, 0, -2, 0, -4, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 3353533
{'cdim': 1, 'counter': 31, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1ae', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -2, -2, -2, -2, -2, -2, 4, 4, 4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 4, 0, 4, -2, -2, -2, 2, 2, -2, 2, 2, -4, 2, 4, -4, 2, 2, 2, 2, 2, -4, 2, -2, -4, 2, -2, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 4, 4, -2, 2, 0, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, -2, 2, -2, -2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 4, 4, 2, 0, -4, -2, 2, 2, 4, 2, 2, 2, 2, -4, 2, 2, 2, -4, -4, 4, 2, -2, -2, 4, -2, 2, -4, -4, -4, -4, -4, 2, 4, 2, -2, 2, -2, 2, 2, -4, -4, 2, 2, -4, 4, -2, 4, -4, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 0, 2, 2, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -4, 2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, -2, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, -4, -4, 2, -2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 4, 2, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, -2, -4, 2, -2, 0, 2, 4, 2, -4, 4, 0, 0, 0, 0, 4, 2, 2, 0, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 4, 0, 4, 0, -2, 2, 0, 0, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 3353534
{'cdim': 1, 'counter': 32, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1af', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -2, -2, -2, -2, -2, -2, 4, 4, 4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 4, 0, 4, -2, -2, -2, 2, 2, -2, 2, 2, -4, 2, 4, -4, 2, 2, 2, 2, 2, -4, 2, -2, -4, 2, -2, 4, -2, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, 2, 0, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, -2, 2, -2, -2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 4, 4, 2, 0, -4, -2, -4, -4, -2, -4, 2, 2, 2, 2, -4, -4, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -4, -2, -4, -2, 2, -2, 2, -4, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 4, 4, 4, 2, 4, 4, 4, -4, -4, -4, -4, 0, -4, -4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 2, -4, 4, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 4, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 0, 0, 0, 0, -2, 0, 0, -4, 0, -2, 2, 2, 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, 2, 0, 4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 0, 2, -2, 2, 2, -2, 0, 0, 0, 0, -2, 2, 2, 0, 4, 4, 0, -2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 0, -2, 0, 4, -4, 0, 0, 0, 4, 0, 4, 0, 2, 0, 0, 0, 0, 2, -2, 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}
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id: 3353535
{'cdim': 1, 'counter': 33, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1ag', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, -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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 0, 4, 4, 0, 0, 0, 0, -4, -4, 0, 0, 0, -4, 4, -4, -4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, -4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, -4, -4, 4, 0, 4, -4, 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, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 0, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, -2, -2, -2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, -2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 0, -2, 2, -2, -2, 2, 0, 0, 0, 0, 2, -2, -2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 2, 0, 2, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 3353536
{'cdim': 1, 'counter': 34, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1ah', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, 0, -4, -4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, -4, 4, 4, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 4, 4, -4, 0, -4, 4, 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, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 2, 2, 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, 2, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 0, 2, -2, 2, 2, -2, 0, 0, 0, 0, -2, 2, 2, 0, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 0, -2, 0, -2, 2, 0, 0, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 3353537
{'cdim': 1, 'counter': 35, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1ai', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, 0, 0, 0, 0, 0, -4, 4, 0, -4, 0, 4, -4, 2, 2, 2, 2, -2, 2, 2, 2, -4, -2, -4, 4, -2, -2, -2, 2, 2, -4, 2, 2, 4, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, 4, 4, -2, -2, 4, 0, 2, 0, 0, 2, -2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 0, -2, 2, 0, 2, 0, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -2, -2, 2, 2, -4, -4, -4, 2, 2, 2, 4, -2, -2, 2, 4, -4, -4, 2, -4, 4, -2, 2, 2, -2, 2, 2, 2, 2, -4, 4, -4, -4, 2, 2, -2, -4, -4, 2, 2, -4, 2, -2, 4, 2, 2, 2, 4, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -4, -4, 0, -4, 0, 0, 0, 2, 0, 4, 4, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, -4, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, -4, 0, 0, 0, 2, 0, -2, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 2, -4, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, -2, 0, 0, 4, 0, 2, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 2, -4, 0, 2, -4, 0, 4, -2, 0, 0, 0, 0, 4, 0, 0, -2, -2, 0, 4, -2, 0], 'schur_index': 1}
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id: 3353538
{'cdim': 1, 'counter': 36, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1aj', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, 0, 0, 0, 0, 0, -4, 4, 0, -4, 0, 4, -4, 2, 2, 2, 2, -2, 2, 2, 2, -4, -2, -4, 4, -2, -2, -2, 2, 2, -4, 2, 2, 4, -2, 2, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 4, 4, -2, 0, 2, 0, 0, 2, -2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 0, -2, 2, 0, 2, 0, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -2, -2, -4, 2, 2, 2, 2, -4, 2, 2, -2, 4, 4, -4, -2, 2, 2, -4, 2, -2, 4, -4, -4, 4, -4, 2, -4, 2, 2, -2, 2, 2, 2, -4, 4, 2, 2, -4, -4, 2, -4, 4, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, -4, 2, 0, 0, 0, -4, 0, -2, 0, 0, 4, 0, 0, -4, -4, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, -4, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, -2, -2, 0, 0, -2, 0, -4, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, -4, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, 4, 0, 0, -4, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 4, -4, 2, 0, -4, 2, 0, -2, 4, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, -2, 4, 0], 'schur_index': 1}
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id: 3353539
{'cdim': 1, 'counter': 37, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1ak', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, 0, 0, 0, 0, 0, -4, 4, 0, -4, 0, 4, -4, 2, 2, 2, 2, -2, 2, 2, 2, -4, -2, -4, 4, -2, -2, -2, 2, 2, -4, 2, 2, 4, -2, 2, 4, -2, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, 0, 2, 0, 0, 2, -2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 0, -2, 2, 0, 2, 0, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 4, 2, -4, 2, 2, 2, 2, -4, -4, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -4, 2, -4, 2, -2, 2, 2, -4, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -4, -4, -4, -2, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 2, 2, 0, 2, 0, 0, 0, -4, 0, -2, -2, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, 2, 2, 0, 0, 0, 2, 0, 4, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 4, 4, 0, 0, -2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -4, 0, 0, 2, 0, 0, 0, 4, 0, -4, -4, 0, 0, 0, -2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 0, 4, -4, -4, 0, 0, 0, 0, -4, 0, 0, 4, 0, -2, 2, 2, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, -2, 0, 0, 4, 4, 0, -2, -2, 0], 'schur_index': 1}
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id: 3353540
{'cdim': 1, 'counter': 38, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1al', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, 0, 0, 0, 0, 0, 4, -4, 0, 4, 0, -4, -4, 2, 2, 2, 2, -2, 2, 2, 2, -4, -2, -4, 4, -2, -2, -2, 2, 2, -4, 2, 2, 4, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, 4, 4, -2, -2, 4, 0, -2, 0, 0, -2, 2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 2, -2, 2, 0, 2, -2, 0, -2, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, -4, -4, 0, 4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, -2, 2, 2, -4, -4, -4, 2, 2, 2, 4, -2, -2, 2, 4, -4, -4, 2, -4, 4, -2, 2, 2, -2, 2, 2, 2, 2, -4, 4, -4, -4, 2, 2, -2, -4, -4, 2, 2, -4, 2, -2, 4, 2, 2, 2, 4, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 4, 4, 0, 4, 0, 0, 0, -2, 0, -4, -4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 4, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, -2, 4, 0, 0, 0, -2, 0, 2, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, -2, 4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, -4, 0, -2, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 2, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 2, -2, 4, 0, -2, 4, 0, -4, 2, 0, 0, 0, 0, -4, 0, 0, 2, 2, 0, -4, 2, 0], 'schur_index': 1}
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id: 3353541
{'cdim': 1, 'counter': 39, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1am', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, 0, 0, 0, 0, 0, 4, -4, 0, 4, 0, -4, -4, 2, 2, 2, 2, -2, 2, 2, 2, -4, -2, -4, 4, -2, -2, -2, 2, 2, -4, 2, 2, 4, -2, 2, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 4, 4, -2, 0, -2, 0, 0, -2, 2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 2, -2, 2, 0, 2, -2, 0, -2, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, -4, -4, 0, 4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, -2, -4, 2, 2, 2, 2, -4, 2, 2, -2, 4, 4, -4, -2, 2, 2, -4, 2, -2, 4, -4, -4, 4, -4, 2, -4, 2, 2, -2, 2, 2, 2, -4, 4, 2, 2, -4, -4, 2, -4, 4, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, -2, 0, -2, 0, 0, 0, -2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 4, -2, 0, 0, 0, 4, 0, 2, 0, 0, -4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 4, -2, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 2, 2, 0, 0, 2, 0, 4, 4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, -4, 0, 0, 4, 0, -2, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -4, 4, -2, 0, 4, -2, 0, 2, -4, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, -4, 0], 'schur_index': 1}
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id: 3353543
{'cdim': 1, 'counter': 40, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1an', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, 0, 0, 0, 0, 0, 4, -4, 0, 4, 0, -4, -4, 2, 2, 2, 2, -2, 2, 2, 2, -4, -2, -4, 4, -2, -2, -2, 2, 2, -4, 2, 2, 4, -2, 2, 4, -2, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, 0, -2, 0, 0, -2, 2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 2, -2, 2, 0, 2, -2, 0, -2, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, -4, -4, 0, 4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 2, -4, 2, 2, 2, 2, -4, -4, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -4, 2, -4, 2, -2, 2, 2, -4, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -4, -4, -4, -2, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, -2, -2, 0, -2, 0, 0, 0, 4, 0, 2, 2, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, -2, -2, 0, 0, 0, -2, 0, -4, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -4, -4, 0, 0, 2, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 0, -4, 0, 4, 4, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, -4, 0, 0, 0, -4, 4, 4, 0, 0, 0, 0, 4, 0, 0, -4, 0, 2, -2, -2, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, -4, -4, 0, 2, 2, 0], 'schur_index': 1}
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id: 3353544
{'cdim': 1, 'counter': 41, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1ao', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, -4, 4, 0, -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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, -4, 0, 0, -4, 4, 0, 4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 4, 0, 4, -4, 4, 0, 4, -4, 0, -4, 0, 0, -4, -4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 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, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, -2, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, -2, 0, 0, -2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 2, 2, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, -2, -2, 0], 'schur_index': 1}
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id: 3353545
{'cdim': 1, 'counter': 42, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1ap', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, -4, 0, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 4, 0, 0, 4, -4, 0, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, -4, 0, -4, 4, -4, 0, -4, 4, 0, 4, 0, 0, 4, 4, 0, -4, -4, 0, 0, 0, 0, 0, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 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, -2, -2, 0, -2, -2, 0, -2, 0, 0, 0, -2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 2, -2, -2, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0], 'schur_index': 1}
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id: 3353546
{'cdim': 1, 'counter': 43, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1aq', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, -4, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, -2, 2, 2, -2, -2, 4, 2, -4, -4, 2, 2, 2, -2, -2, 4, -2, 2, -4, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, 4, 4, -2, -2, 4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, -2, 0, 2, 0, 0, -2, -4, 2, -2, 0, 0, 2, 0, -2, 2, 2, 4, -4, -2, 0, 0, 2, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -4, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 4, 4, 4, -2, -2, -2, -4, 2, 2, 2, -4, -4, -4, 2, -4, -4, 2, -2, -2, 2, -2, -2, 2, -2, -4, -4, -4, 4, -2, -2, 2, 4, 4, -2, 2, -4, 2, 2, -4, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, -4, 0, 0, 4, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, 0, -2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, -2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, -4, -4, 0, 2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, -2, 0, 0, 2, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, -2, -2, 0, 0, -4, 0, 0, 0, -4, 0, 2, 0, 0, 4, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, -2, 0, 0, 0, -4, -4, 0, 0, 0, 0, -4, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 4, 0, -2, -2, 0, 4, 0, 0, 0, -2, 0, 0, 4, 0, 0, 2, 0, 0, 2, 0, -2, 2, 0, 0, 2, 0, 0, -2], 'schur_index': 1}
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id: 3353547
{'cdim': 1, 'counter': 44, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1ar', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, -4, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, -2, 2, 2, -2, -2, 4, 2, -4, -4, 2, 2, 2, -2, -2, 4, -2, 2, -4, 2, 2, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 4, 4, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, -2, 0, 2, 0, 0, -2, -4, 2, -2, 0, 0, 2, 0, -2, 2, 2, 4, -4, -2, 0, 0, 2, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -4, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, -4, -2, -2, -2, -2, 4, -2, -2, 2, -4, -4, -4, 2, 2, 2, -4, 2, 2, -4, 4, 4, -4, 4, -2, -4, -2, 2, 2, 2, -2, -2, 4, -4, -2, -2, 4, -4, 2, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -2, 0, 0, -4, 0, 0, 4, 0, 0, 4, 0, 0, -2, -2, 0, 4, 0, 0, -4, 0, 0, 0, -2, 0, 0, 0, 0, -4, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, -4, 4, 0, 2, 4, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, -2, 0, 0, -4, -2, 0, 0, -4, 0, 0, -4, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 4, -2, 0, 0, 2, 0, 0, 0, 2, 0, -4, 0, 0, -2, 0, 0, -4, 0, 0, 4, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, -2, 0, -2, -2, 0, -2, 0, 0, 0, 4, 0, 0, -2, 0, 0, -4, 0, 0, 2, 0, -2, 2, 0, 0, -4, 0, 0, 4], 'schur_index': 1}
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id: 3353548
{'cdim': 1, 'counter': 45, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1as', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, -4, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, -2, 2, 2, -2, -2, 4, 2, -4, -4, 2, 2, 2, -2, -2, 4, -2, 2, -4, 2, 2, 4, -2, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, -2, 0, 2, 0, 0, -2, -4, 2, -2, 0, 0, 2, 0, -2, 2, 2, 4, -4, -2, 0, 0, 2, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -4, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, -4, -4, 2, 4, -2, -2, -2, -2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 4, 2, 4, 2, 2, 2, -2, 4, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -4, -4, -4, 2, -4, -4, -4, -4, -4, -4, -4, 2, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, 0, 4, 4, 0, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, -2, 0, -4, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 4, 0, 0, 2, 4, 0, 0, 2, 0, 0, 2, 0, 0, 0, -4, 0, -4, 0, -4, 0, 0, -2, 4, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 4, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, -4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 2, 0, 0, -2, 0, 4, 4, 0, -2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, -4, 0, 4, -4, 0, 0, 2, 0, 0, -2], 'schur_index': 1}
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id: 3353549
{'cdim': 1, 'counter': 46, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1at', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, 4, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, -2, 2, 2, -2, -2, 4, 2, -4, -4, 2, 2, 2, -2, -2, 4, -2, 2, -4, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, 4, 4, -2, -2, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 2, 0, -2, 0, 0, 2, 4, -2, 2, 0, 0, -2, 0, 2, -2, -2, -4, 4, 2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 4, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 4, 4, 4, -2, -2, -2, -4, 2, 2, 2, -4, -4, -4, 2, -4, -4, 2, -2, -2, 2, -2, -2, 2, -2, -4, -4, -4, 4, -2, -2, 2, 4, 4, -2, 2, -4, 2, 2, -4, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, 4, 0, 0, -4, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, -2, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -2, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 4, 4, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 2, 0, 0, -2, 2, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 0, -2, 0, 0, 2, 2, 0, 0, 4, 0, 0, 0, 4, 0, -2, 0, 0, -4, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -4, 0, 2, 2, 0, -4, 0, 0, 0, 2, 0, 0, -4, 0, 0, -2, 0, 0, -2, 0, 2, -2, 0, 0, -2, 0, 0, 2], 'schur_index': 1}
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id: 3353550
{'cdim': 1, 'counter': 47, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1au', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, 4, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, -2, 2, 2, -2, -2, 4, 2, -4, -4, 2, 2, 2, -2, -2, 4, -2, 2, -4, 2, 2, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 4, 4, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 2, 0, -2, 0, 0, 2, 4, -2, 2, 0, 0, -2, 0, 2, -2, -2, -4, 4, 2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 4, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, -4, -2, -2, -2, -2, 4, -2, -2, 2, -4, -4, -4, 2, 2, 2, -4, 2, 2, -4, 4, 4, -4, 4, -2, -4, -2, 2, 2, 2, -2, -2, 4, -4, -2, -2, 4, -4, 2, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 0, 0, 2, 0, 0, 4, 0, 0, -4, 0, 0, -4, 0, 0, 2, 2, 0, -4, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 4, -4, 0, -2, -4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 4, 2, 0, 0, 4, 0, 0, 4, 0, 0, 0, -2, 0, -2, 0, -2, 0, 0, -4, 2, 0, 0, -2, 0, 0, 0, -2, 0, 4, 0, 0, 2, 0, 0, 4, 0, 0, -4, 0, 0, -4, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 4, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, -4, 0, 0, 2, 0, 0, 4, 0, 0, -2, 0, 2, -2, 0, 0, 4, 0, 0, -4], 'schur_index': 1}
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id: 3353551
{'cdim': 1, 'counter': 48, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1av', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -2, -2, -2, -2, -2, -2, 4, 4, 0, 4, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, -2, 2, 2, -2, -2, 4, 2, -4, -4, 2, 2, 2, -2, -2, 4, -2, 2, -4, 2, 2, 4, -2, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 2, 0, -2, 0, 0, 2, 4, -2, 2, 0, 0, -2, 0, 2, -2, -2, -4, 4, 2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 4, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, -4, -4, 2, 4, -2, -2, -2, -2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 4, 2, 4, 2, 2, 2, -2, 4, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -4, -4, -4, 2, -4, -4, -4, -4, -4, -4, -4, -2, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, -4, -4, 0, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -2, 2, 0, 4, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, -2, 0, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, -4, 0, 0, -2, -4, 0, 0, -2, 0, 0, -2, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 2, -4, 0, 0, -2, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -4, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, -2, 0, 0, 2, 0, -4, -4, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 4, 0, -4, 4, 0, 0, -2, 0, 0, 2], 'schur_index': 1}
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id: 3353552
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id: 3353554
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id: 3353555
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id: 3353556
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id: 3353557
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id: 3353558
{'cdim': 1, 'counter': 54, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1bb', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, -3, 6, 6, -3, -3, -3, -6, -6, -6, -6, -6, -6, 6, 6, -6, 6, -6, 6, -3, -3, 6, -3, -3, -3, 6, -3, 6, -3, 6, -3, -3, -3, -3, 6, -3, 6, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, -6, 3, -3, -3, 3, 6, -6, 3, -3, -3, 3, -6, 3, 3, 3, 3, -6, -3, -6, 6, 3, 3, 6, 3, 3, 3, -6, -3, 3, 3, -3, 3, 3, -6, 3, 3, -6, -3, 3, 3, -3, -3, 3, 3, 3, 3, -6, -3, 6, -6, 3, 3, -6, -3, 3, 6, 6, -3, 3, -3, -3, 3, 6, -6, -6, -3, -3, 3, -3, -3, 3, 3, 3, 3, 3, -3, -3, 3, -3, 3, 3, -3, 3, 3, 3, -6, 3, -6, 3, 3, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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}
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id: 3353559
{'cdim': 1, 'counter': 55, 'faithful': False, 'group': '432.200', 'group_order': 432, 'image': None, 'label': '432.200.1bc', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, -3, 6, 6, -3, -3, -3, -6, 6, 6, -6, 6, 6, -6, -6, -6, -6, -6, -6, -3, -3, 6, -3, -3, -3, 6, -3, 6, -3, 6, -3, -3, -3, -3, 6, -3, 6, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -6, -6, 3, 3, 3, -3, -6, -6, 3, 3, 3, -3, -6, 3, 3, 3, -3, -6, 3, 6, -6, -3, 3, -6, -3, -3, -3, 6, 3, 3, -3, 3, -3, -3, 6, -3, -3, 6, 3, 3, -3, 3, 3, 3, -3, 3, -3, 6, 3, -6, -6, 3, 3, 6, 3, 3, -6, -6, 3, -3, 3, 3, 3, -6, -6, -6, 3, 3, 3, 3, 3, -3, -3, -3, -3, 3, 3, 3, 3, 3, 3, -3, 3, -3, -3, -3, 6, 3, 6, 3, 3, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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}
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id: 3353560
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id: 3353561
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id: 3353562
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id: 3353563
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id: 3353565
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id: 3353566
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id: 3353567
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id: 3353587
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gps_char • Show schema
Hide schema
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id: 4595922
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id: 4596298
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id: 4596300
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id: 4596301
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id: 4596302
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id: 4596303
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id: 4596304
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id: 4596305
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id: 4596306
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id: 4596307
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id: 4596308
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id: 4596309
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id: 4596311
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id: 4596312
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id: 4596313
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id: 4596314
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id: 4596315
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id: 4596316
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id: 4596317
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id: 4596318
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id: 4596319
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id: 4596320
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id: 4596322
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id: 4596323
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id: 4596324
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id: 4596325
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id: 4596326
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id: 4596327
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id: 4596328
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id: 4596329
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id: 4596330
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id: 4596331
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id: 4596333
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id: 4596334
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id: 4596335
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id: 4596336
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id: 4596337
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id: 4596338
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id: 4596339
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id: 4596340
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id: 4596341
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id: 4596342
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id: 4596344
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id: 4596345
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id: 4596346
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id: 4596347
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id: 4596348
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id: 4596349
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id: 4596350
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id: 4596351
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id: 4596352
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id: 4596353
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id: 4595924
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id: 4595925
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id: 4595926
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id: 4595927
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id: 4595928
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id: 4595929
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id: 4595930
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id: 4595931
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id: 4595932
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id: 4595933
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id: 4595935
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id: 4595936
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id: 4595937
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id: 4595938
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id: 4595939
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id: 4595940
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id: 4595941
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id: 4595942
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id: 4595943
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id: 4595944
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id: 4595946
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id: 4595947
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id: 4595948
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id: 4595949
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id: 4595950
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id: 4595951
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id: 4595952
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id: 4595953
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id: 4595954
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id: 4595955
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id: 4595957
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id: 4595958
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id: 4595959
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id: 4595960
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id: 4595961
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id: 4595962
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id: 4595963
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id: 4595964
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id: 4595965
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id: 4595966
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id: 4595968
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id: 4595969
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id: 4595970
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id: 4595971
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id: 4595972
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id: 4595973
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id: 4595974
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id: 4595975
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id: 4595976
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id: 4595977
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id: 4595979
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id: 4595980
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id: 4595981
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id: 4595982
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id: 4595983
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id: 4595984
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id: 4595985
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id: 4596033
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id: 4595986
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id: 4595987
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id: 4595988
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id: 4595990
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id: 4595991
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id: 4595992
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id: 4595993
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id: 4595994
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id: 4595995
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id: 4595997
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id: 4595999
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id: 4596001
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id: 4596002
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id: 4596003
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id: 4596004
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id: 4596005
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id: 4596006
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id: 4596007
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id: 4596008
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id: 4596009
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id: 4596010
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id: 4596012
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id: 4596013
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id: 4596014
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id: 4596015
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id: 4596016
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id: 4596017
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id: 4596018
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id: 4596019
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id: 4596020
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id: 4596021
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id: 4596023
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id: 4596024
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id: 4596025
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id: 4596026
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id: 4596027
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id: 4596028
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id: 4596029
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id: 4596030
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id: 4596031
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id: 4596032
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id: 4596035
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id: 4596036
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id: 4596037
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id: 4596038
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id: 4596039
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id: 4596040
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id: 4596041
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id: 4596042
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id: 4596043
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id: 4596044
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id: 4596046
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id: 4596047
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id: 4596048
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id: 4596049
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id: 4596050
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id: 4596051
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id: 4596052
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id: 4596053
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id: 4596063
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id: 4596064
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id: 4596065
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id: 4596054
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id: 4596055
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id: 4596057
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id: 4596058
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id: 4596059
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id: 4596060
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id: 4596061
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id: 4596062
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id: 4596066
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id: 4596076
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id: 4596077
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id: 4596079
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id: 4596068
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id: 4596069
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id: 4596070
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id: 4596071
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id: 4596072
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id: 4596073
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id: 4596074
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id: 4596075
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id: 4596080
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id: 4596090
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id: 4596091
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id: 4596092
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id: 4596081
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id: 4596082
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id: 4596083
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id: 4596084
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id: 4596085
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id: 4596086
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id: 4596087
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id: 4596088
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id: 4596093
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id: 4596103
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id: 4596104
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id: 4596105
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id: 4596094
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id: 4596095
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id: 4596096
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id: 4596097
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id: 4596098
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id: 4596099
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id: 4596101
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id: 4596102
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id: 4596106
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id: 4596116
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id: 4596117
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id: 4596118
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id: 4596107
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id: 4596108
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id: 4596109
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id: 4596110
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id: 4596112
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id: 4596113
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id: 4596114
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id: 4596115
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id: 4596119
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id: 4596129
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id: 4596130
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id: 4596131
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id: 4596120
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id: 4596121
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id: 4596123
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id: 4596124
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id: 4596125
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id: 4596126
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id: 4596127
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id: 4596128
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id: 4596132
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id: 4596142
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id: 4596143
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id: 4596146
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id: 4596134
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id: 4596135
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id: 4596136
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id: 4596137
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id: 4596138
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id: 4596139
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id: 4596140
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id: 4596141
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id: 4596147
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id: 4596157
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id: 4596158
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id: 4596159
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id: 4596148
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id: 4596149
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id: 4596150
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id: 4596151
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id: 4596152
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id: 4596153
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id: 4596154
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id: 4596155
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id: 4596160
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id: 4596170
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id: 4596171
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id: 4596172
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id: 4596161
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id: 4596162
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id: 4596163
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id: 4596164
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id: 4596165
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id: 4596166
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id: 4596168
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id: 4596169
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id: 4596173
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id: 4596183
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id: 4596184
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id: 4596185
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id: 4596174
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id: 4596175
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id: 4596176
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id: 4596177
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id: 4596179
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id: 4596180
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id: 4596181
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id: 4596182
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id: 4596186
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id: 4596196
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id: 4596197
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id: 4596198
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id: 4596187
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id: 4596188
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id: 4596190
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id: 4596191
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id: 4596192
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id: 4596193
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id: 4596194
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id: 4596195
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id: 4596199
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id: 4596209
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id: 4596210
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id: 4596212
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id: 4596201
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id: 4596202
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id: 4596203
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id: 4596204
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id: 4596205
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id: 4596206
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id: 4596207
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id: 4596208
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id: 4596213
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id: 4596223
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id: 4596224
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id: 4596225
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id: 4596214
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id: 4596215
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id: 4596216
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id: 4596217
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id: 4596218
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id: 4596219
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id: 4596220
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id: 4596221
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id: 4596226
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id: 4596236
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id: 4596237
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id: 4596238
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id: 4596227
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id: 4596228
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id: 4596229
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id: 4596230
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id: 4596231
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id: 4596232
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id: 4596234
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id: 4596235
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id: 4596239
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id: 4596249
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id: 4596250
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id: 4596251
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id: 4596240
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id: 4596241
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id: 4596242
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id: 4596243
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id: 4596245
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id: 4596246
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id: 4596247
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id: 4596248
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id: 4596252
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id: 4596263
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id: 4596264
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id: 4596265
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id: 4596253
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id: 4596254
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id: 4596257
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id: 4596258
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id: 4596259
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id: 4596260
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id: 4596261
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id: 4596262
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id: 4596144
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id: 4596266
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id: 4596276
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id: 4596277
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id: 4596279
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id: 4596268
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id: 4596269
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id: 4596270
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id: 4596271
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id: 4596272
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id: 4596273
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id: 4596274
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id: 4596275
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id: 4596280
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id: 4596290
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id: 4596291
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id: 4596292
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id: 4596281
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id: 4596282
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id: 4596283
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id: 4596284
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id: 4596285
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id: 4596286
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id: 4596287
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id: 4596288
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id: 4596255
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id: 4596299
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id: 4596310
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id: 4596321
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id: 4596332
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id: 4596343
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id: 4595923
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id: 4595934
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id: 4595945
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id: 4595956
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id: 4595967
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id: 4595978
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id: 4595989
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id: 4596000
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id: 4596011
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id: 4596022
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id: 4596034
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id: 4596045
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id: 4596056
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id: 4596067
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id: 4596078
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id: 4596089
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id: 4596100
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id: 4596111
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id: 4596122
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id: 4596133
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id: 4596145
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id: 4596156
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id: 4596167
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id: 4596178
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id: 4596189
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id: 4596200
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id: 4596211
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id: 4596222
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id: 4596233
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id: 4596244
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id: 4596256
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id: 4596267
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id: 4596278
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id: 4596289
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id: 4596295
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id: 4596296
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id: 4596297
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id: 58375425
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 432, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '432.200.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['Z', 'F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '432.200', 'subgroup_hash': 200, 'subgroup_order': 432, 'subgroup_tex': 'C_{12}\\times C_{36}', 'supersolvable': True, 'sylow': 0}
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id: 58375436
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 216, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.73', 'subgroup_hash': 73, 'subgroup_order': 216, 'subgroup_tex': 'C_6\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 58375447
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 144, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.101', 'subgroup_hash': 101, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}^2', 'supersolvable': True, 'sylow': 0}
-
id: 58375455
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 144, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '432.200.3.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.20', 'subgroup_hash': 20, 'subgroup_order': 144, 'subgroup_tex': 'C_4\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 58375456
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 108, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '432.200.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '108.12', 'subgroup_hash': 12, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 58375457
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 108, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '108.29', 'subgroup_hash': 29, 'subgroup_order': 108, 'subgroup_tex': 'C_6\\times C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 58375458
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 72, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 58375459
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 72, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.9', 'subgroup_hash': 9, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 58375460
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 54, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 58375426
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 48, 'counter': 10, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '432.200.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 58375427
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 48, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.9.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 58375428
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 36, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 58375429
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 36, 'counter': 13, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '432.200.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 58375430
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 36, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', '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': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
-
id: 58375431
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 36, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.5', 'subgroup_hash': 5, 'subgroup_order': 36, 'subgroup_tex': 'C_2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 58375432
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 27, 'counter': 16, 'cyclic': False, 'direct': True, 'hall': 3, 'label': '432.200.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 3}
-
id: 58375433
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 24, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 58375434
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 24, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.18.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 58375435
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 18, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 58375437
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 18, 'counter': 20, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '432.200.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
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id: 58375438
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 16, 'counter': 21, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '432.200.27.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '27.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '27.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 27, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 2}
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id: 58375439
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 22, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '432.200.36.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 58375440
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '432.200.36.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 58375441
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.36.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 58375442
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 12, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.36.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6^2', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 58375443
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 9, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
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id: 58375444
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 9, 'counter': 27, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '432.200.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
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id: 58375445
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 8, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.54.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 58375446
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '432.200.72.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 58375448
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 30, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '432.200.72.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 58375449
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 31, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '432.200.108.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '108.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '108.12', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 58375450
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 4, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.200.108.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '108.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '108.29', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 58375451
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 33, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '432.200.144.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '144.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{36}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 58375452
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 3, 'counter': 34, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '432.200.144.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '144.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.101', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 101, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}^2', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 58375453
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 35, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '432.200.216.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '216.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '216.73', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{36}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 58375454
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.200', 'ambient_counter': 200, 'ambient_order': 432, 'ambient_tex': 'C_{12}\\times C_{36}', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 1, 'counter': 36, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '432.200.432.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '432.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '432.200', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 200, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'PC', 'U1', 'L1', 'D1', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 58375431
{'ambient': '432.200', 'aut_centralizer_order': 96, 'aut_label': '12.d1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '36.12', 'aut_weyl_index': 288, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.b1', '6.b1'], 'contains': ['24.b1', '36.d1'], 'core': '12.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [2547, 2547, 3086, 3086], 'generators': [6, 216, 48, 144], 'label': '432.200.12.d1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.d1', 'normal_contained_in': ['4.b1', '6.b1'], 'normal_contains': ['24.b1', '36.d1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '12.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 58375425
{'ambient': '432.200', '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': '1.a1', 'complements': ['432.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '3.a1', '3.b1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6694, 6694, 6310, 6310], 'generators': [3, 216, 6, 108, 144, 4, 48], 'label': '432.200.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '3.a1', '3.b1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '1.1', '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': '1.1'}
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id: 58375426
{'ambient': '432.200', 'aut_centralizer_order': 18, 'aut_label': '9.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '192.1488', 'aut_weyl_index': 54, 'centralizer': '1.a1', 'complements': ['48.b1'], 'conjugacy_class_count': 3, 'contained_in': ['3.a1'], 'contains': ['18.a1', '27.a1'], 'core': '9.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9473, 9473, 9286, 9286], 'generators': [3, 216, 108, 4, 6], 'label': '432.200.9.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': ['3.a1'], 'normal_contains': ['18.a1', '27.a1'], 'normalizer': '1.a1', 'old_label': '9.a1', 'projective_image': '9.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '9.1', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375427
{'ambient': '432.200', 'aut_centralizer_order': 54, 'aut_label': '9.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '192.1488', 'aut_weyl_index': 54, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '3.b1'], 'contains': ['18.b1', '27.a1'], 'core': '9.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8016, 8016, 7737, 7737], 'generators': [9, 216, 108, 144, 6], 'label': '432.200.9.b1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.b1', 'normal_contained_in': ['3.a1', '3.b1'], 'normal_contains': ['18.b1', '27.a1'], 'normalizer': '1.a1', 'old_label': '9.b1', 'projective_image': '9.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '9.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375428
{'ambient': '432.200', 'aut_centralizer_order': 72, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 432, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '6.a1'], 'contains': ['24.a1', '36.a1', '36.b1'], 'core': '12.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5531, 5531, 4636, 4636], 'generators': [3, 4, 144, 6], 'label': '432.200.12.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['24.a1', '36.a1', '36.b1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '12.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375429
{'ambient': '432.200', 'aut_centralizer_order': 48, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 18, 'aut_weyl_group': '12.5', 'aut_weyl_index': 864, 'centralizer': '1.a1', 'complements': ['36.a1'], 'conjugacy_class_count': 18, 'contained_in': ['4.a1', '6.b1'], 'contains': ['24.b1', '36.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 18, 'diagramx': [3673, 3673, 1888, 1888], 'generators': [9, 48, 6, 144], 'label': '432.200.12.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': ['4.a1', '6.b1'], 'normal_contains': ['24.b1', '36.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '12.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375430
{'ambient': '432.200', 'aut_centralizer_order': 144, 'aut_label': '12.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '72.46', 'aut_weyl_index': 144, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.a1'], 'contains': ['24.a1', '36.c1', '36.d1'], 'core': '12.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4433, 4433, 5806, 5806], 'generators': [6, 216, 4, 144], 'label': '432.200.12.c1', 'mobius_quo': 6, 'mobius_sub': -2, 'normal_closure': '12.c1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.a1', '36.c1', '36.d1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '12.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375432
{'ambient': '432.200', 'aut_centralizer_order': 96, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '108.28', 'aut_weyl_index': 96, 'centralizer': '1.a1', 'complements': ['27.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1'], 'contains': ['48.a1', '48.b1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [527, 527, 1136, 1136], 'generators': [4, 48], 'label': '432.200.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['48.a1', '48.b1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '16.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375433
{'ambient': '432.200', 'aut_centralizer_order': 72, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 9, 'aut_weyl_group': '16.11', 'aut_weyl_index': 648, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 9, 'contained_in': ['6.a1', '9.a1'], 'contains': ['36.a1', '36.c1', '54.a1'], 'core': '18.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8070, 8070, 8526, 8526], 'generators': [3, 216, 4, 6], 'label': '432.200.18.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1', '9.a1'], 'normal_contains': ['36.a1', '36.c1', '54.a1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '18.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '18.2', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375434
{'ambient': '432.200', 'aut_centralizer_order': 216, 'aut_label': '18.b1', 'aut_quo_index': 4, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 648, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['6.a1', '6.b1', '9.b1'], 'contains': ['36.b1', '36.d1', '54.a1'], 'core': '18.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6613, 6613, 6976, 6976], 'generators': [9, 216, 144, 6], 'label': '432.200.18.b1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.b1', 'normal_contained_in': ['6.a1', '6.b1', '9.b1'], 'normal_contains': ['36.b1', '36.d1', '54.a1'], 'normalizer': '1.a1', 'old_label': '18.b1', 'projective_image': '18.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '18.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375435
{'ambient': '432.200', 'aut_centralizer_order': 288, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '12.4', 'aut_weyl_index': 864, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '12.a1', '12.c1'], 'contains': ['48.a1', '72.a1', '72.b1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2431, 2431, 3267, 3267], 'generators': [6, 4, 144], 'label': '432.200.24.a1', 'mobius_quo': -3, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1', '12.c1'], 'normal_contains': ['48.a1', '72.a1', '72.b1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375436
{'ambient': '432.200', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '864.2629', 'aut_weyl_index': 12, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '6.a1', '6.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5067, 5067, 4636, 4636], 'generators': [3, 144, 6, 216, 4, 48], 'label': '432.200.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '6.a1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375437
{'ambient': '432.200', 'aut_centralizer_order': 192, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 9, 'aut_weyl_group': '6.2', 'aut_weyl_index': 1728, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 9, 'contained_in': ['8.a1', '12.b1', '12.d1'], 'contains': ['48.b1', '72.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [1430, 1430, 2202, 2202], 'generators': [6, 48, 144], 'label': '432.200.24.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': ['8.a1', '12.b1', '12.d1'], 'normal_contains': ['48.b1', '72.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375438
{'ambient': '432.200', 'aut_centralizer_order': 108, 'aut_label': '27.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.195', 'aut_weyl_index': 108, 'centralizer': '1.a1', 'complements': ['16.a1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '9.b1'], 'contains': ['54.a1'], 'core': '27.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8972, 8972, 9696, 9696], 'generators': [9, 108], 'label': '432.200.27.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '27.a1', 'normal_contained_in': ['9.a1', '9.b1'], 'normal_contains': ['54.a1'], 'normalizer': '1.a1', 'old_label': '27.a1', 'projective_image': '27.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '27.2', 'quotient_action_kernel_order': 27, 'quotient_fusion': None, 'short_label': '27.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375439
{'ambient': '432.200', 'aut_centralizer_order': 144, 'aut_label': '36.a1', 'aut_quo_index': 1, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2592, 'centralizer': '1.a1', 'complements': ['12.b1'], 'conjugacy_class_count': 18, 'contained_in': ['12.a1', '18.a1'], 'contains': ['72.a1', '108.a1'], 'core': '36.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [6550, 6550, 6462, 6462], 'generators': [3, 4, 6], 'label': '432.200.36.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.a1', 'normal_contained_in': ['12.a1', '18.a1'], 'normal_contains': ['72.a1', '108.a1'], 'normalizer': '1.a1', 'old_label': '36.a1', 'projective_image': '36.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '36.2', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '36.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375440
{'ambient': '432.200', 'aut_centralizer_order': 432, 'aut_label': '36.b1', 'aut_quo_index': 4, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2592, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['12.a1', '12.b1', '18.b1'], 'contains': ['72.b1', '108.a1'], 'core': '36.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [4548, 4548, 4332, 4332], 'generators': [9, 144, 6], 'label': '432.200.36.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.b1', 'normal_contained_in': ['12.a1', '12.b1', '18.b1'], 'normal_contains': ['72.b1', '108.a1'], 'normalizer': '1.a1', 'old_label': '36.b1', 'projective_image': '36.8', 'quotient_action_image': '1.1', 'quotient_action_kernel': '36.8', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '36.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375441
{'ambient': '432.200', 'aut_centralizer_order': 288, 'aut_label': '36.c1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '12.4', 'aut_weyl_index': 864, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['12.c1', '18.a1'], 'contains': ['72.a1', '108.b1'], 'core': '36.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [5549, 5549, 7527, 7527], 'generators': [6, 216, 4], 'label': '432.200.36.c1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '36.c1', 'normal_contained_in': ['12.c1', '18.a1'], 'normal_contains': ['72.a1', '108.b1'], 'normalizer': '1.a1', 'old_label': '36.c1', 'projective_image': '36.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '36.5', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '36.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375442
{'ambient': '432.200', 'aut_centralizer_order': 864, 'aut_label': '36.d1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 864, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.d1', '18.b1'], 'contains': ['72.b1', '108.b1'], 'core': '36.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3548, 3548, 5397, 5397], 'generators': [6, 216, 144], 'label': '432.200.36.d1', 'mobius_quo': -2, 'mobius_sub': 6, 'normal_closure': '36.d1', 'normal_contained_in': ['12.c1', '12.d1', '18.b1'], 'normal_contains': ['72.b1', '108.b1'], 'normalizer': '1.a1', 'old_label': '36.d1', 'projective_image': '36.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '36.14', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '36.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375443
{'ambient': '432.200', 'aut_centralizer_order': 864, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 864, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.a1'], 'contains': ['144.a1', '144.b1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1537, 1537, 3352, 3352], 'generators': [4, 144], 'label': '432.200.48.a1', 'mobius_quo': 3, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1'], 'normal_contains': ['144.a1', '144.b1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '48.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375444
{'ambient': '432.200', 'aut_centralizer_order': 576, 'aut_label': '48.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '6.2', 'aut_weyl_index': 1728, 'centralizer': '1.a1', 'complements': ['9.a1'], 'conjugacy_class_count': 3, 'contained_in': ['16.a1', '24.b1'], 'contains': ['144.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [813, 813, 2202, 2202], 'generators': [48], 'label': '432.200.48.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.a1', '24.b1'], 'normal_contains': ['144.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '48.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375445
{'ambient': '432.200', 'aut_centralizer_order': 432, 'aut_label': '54.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1296, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['18.a1', '18.b1', '27.a1'], 'contains': ['108.a1', '108.b1'], 'core': '54.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7113, 7113, 8821, 8821], 'generators': [9, 216], 'label': '432.200.54.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': ['18.a1', '18.b1', '27.a1'], 'normal_contains': ['108.a1', '108.b1'], 'normalizer': '1.a1', 'old_label': '54.a1', 'projective_image': '54.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '54.9', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '54.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375446
{'ambient': '432.200', 'aut_centralizer_order': 576, 'aut_label': '72.a1', 'aut_quo_index': 1, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 5184, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 9, 'contained_in': ['24.a1', '36.a1', '36.c1'], 'contains': ['144.a1', '216.a1'], 'core': '72.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4826, 4826, 5283, 5283], 'generators': [6, 4], 'label': '432.200.72.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '72.a1', 'normal_contained_in': ['24.a1', '36.a1', '36.c1'], 'normal_contains': ['144.a1', '216.a1'], 'normalizer': '1.a1', 'old_label': '72.a1', 'projective_image': '72.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '72.9', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '72.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375447
{'ambient': '432.200', 'aut_centralizer_order': 9, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1152.157638', 'aut_weyl_index': 9, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '9.a1', '9.b1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7944, 7944, 7670, 7670], 'generators': [3, 216, 6, 108, 4, 144], 'label': '432.200.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '9.a1', '9.b1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '3.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375448
{'ambient': '432.200', 'aut_centralizer_order': 1728, 'aut_label': '72.b1', 'aut_quo_index': 4, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 5184, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['24.a1', '24.b1', '36.b1', '36.d1'], 'contains': ['144.b1', '216.a1'], 'core': '72.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [2627, 2627, 4246, 4246], 'generators': [6, 144], 'label': '432.200.72.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '72.b1', 'normal_contained_in': ['24.a1', '24.b1', '36.b1', '36.d1'], 'normal_contains': ['144.b1', '216.a1'], 'normalizer': '1.a1', 'old_label': '72.b1', 'projective_image': '72.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '72.36', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '72.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375449
{'ambient': '432.200', 'aut_centralizer_order': 864, 'aut_label': '108.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 5184, 'centralizer': '1.a1', 'complements': ['4.a1'], 'conjugacy_class_count': 6, 'contained_in': ['36.a1', '36.b1', '54.a1'], 'contains': ['216.a1'], 'core': '108.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5845, 5845, 6253, 6253], 'generators': [9], 'label': '432.200.108.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '108.a1', 'normal_contained_in': ['36.a1', '36.b1', '54.a1'], 'normal_contains': ['216.a1'], 'normalizer': '1.a1', 'old_label': '108.a1', 'projective_image': '108.12', 'quotient_action_image': '1.1', 'quotient_action_kernel': '108.12', 'quotient_action_kernel_order': 108, 'quotient_fusion': None, 'short_label': '108.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 58375450
{'ambient': '432.200', 'aut_centralizer_order': 1728, 'aut_label': '108.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1728, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.c1', '36.d1', '54.a1'], 'contains': ['216.a1'], 'core': '108.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3950, 3950, 7299, 7299], 'generators': [6, 216], 'label': '432.200.108.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '108.b1', 'normal_contained_in': ['36.c1', '36.d1', '54.a1'], 'normal_contains': ['216.a1'], 'normalizer': '1.a1', 'old_label': '108.b1', 'projective_image': '108.29', 'quotient_action_image': '1.1', 'quotient_action_kernel': '108.29', 'quotient_action_kernel_order': 108, 'quotient_fusion': None, 'short_label': '108.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 58375451
{'ambient': '432.200', 'aut_centralizer_order': 1728, 'aut_label': '144.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 5184, 'centralizer': '1.a1', 'complements': ['3.b1'], 'conjugacy_class_count': 3, 'contained_in': ['48.a1', '72.a1'], 'contains': ['432.a1'], 'core': '144.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2386, 2386, 4589, 4589], 'generators': [4], 'label': '432.200.144.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '144.a1', 'normal_contained_in': ['48.a1', '72.a1'], 'normal_contains': ['432.a1'], 'normalizer': '1.a1', 'old_label': '144.a1', 'projective_image': '144.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.20', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375452
{'ambient': '432.200', 'aut_centralizer_order': 5184, 'aut_label': '144.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 5184, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '48.b1', '72.b1'], 'contains': ['432.a1'], 'core': '144.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1322, 1322, 3885, 3885], 'generators': [144], 'label': '432.200.144.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '144.b1', 'normal_contained_in': ['48.a1', '48.b1', '72.b1'], 'normal_contains': ['432.a1'], 'normalizer': '1.a1', 'old_label': '144.b1', 'projective_image': '144.101', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.101', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375453
{'ambient': '432.200', 'aut_centralizer_order': 3456, 'aut_label': '216.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 10368, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['72.a1', '72.b1', '108.a1', '108.b1'], 'contains': ['432.a1'], 'core': '216.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3950, 3950, 5283, 5283], 'generators': [6], 'label': '432.200.216.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '216.a1', 'normal_contained_in': ['72.a1', '72.b1', '108.a1', '108.b1'], 'normal_contains': ['432.a1'], 'normalizer': '1.a1', 'old_label': '216.a1', 'projective_image': '216.73', 'quotient_action_image': '1.1', 'quotient_action_kernel': '216.73', 'quotient_action_kernel_order': 216, 'quotient_fusion': None, 'short_label': '216.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375454
{'ambient': '432.200', 'aut_centralizer_order': None, 'aut_label': '432.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['144.a1', '144.b1', '216.a1'], 'contains': [], 'core': '432.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2386, 2386, 4589, 4589], 'generators': [], 'label': '432.200.432.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '432.a1', 'normal_contained_in': ['144.a1', '144.b1', '216.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '432.a1', 'projective_image': '432.200', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375455
{'ambient': '432.200', 'aut_centralizer_order': 6, 'aut_label': '3.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '576.8453', 'aut_weyl_index': 18, 'centralizer': '1.a1', 'complements': ['144.a1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['6.b1', '9.b1'], 'core': '3.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6694, 6694, 6310, 6310], 'generators': [9, 144, 216, 108, 48, 6], 'label': '432.200.3.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.b1', '9.b1'], 'normalizer': '1.a1', 'old_label': '3.b1', 'projective_image': '3.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375456
{'ambient': '432.200', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '216.113', 'aut_weyl_index': 48, 'centralizer': '1.a1', 'complements': ['108.a1'], 'conjugacy_class_count': 6, 'contained_in': ['2.a1'], 'contains': ['8.a1', '12.a1', '12.b1'], 'core': '4.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4084, 4084, 1536, 1536], 'generators': [3, 144, 4, 48, 6], 'label': '432.200.4.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '12.a1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375457
{'ambient': '432.200', 'aut_centralizer_order': 16, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '648.608', 'aut_weyl_index': 16, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '12.c1', '12.d1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2610, 2610, 3086, 3086], 'generators': [6, 144, 216, 4, 48], 'label': '432.200.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '12.c1', '12.d1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375458
{'ambient': '432.200', 'aut_centralizer_order': 36, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '96.209', 'aut_weyl_index': 108, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.c1', '18.a1', '18.b1'], 'core': '6.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6667, 6667, 6186, 6186], 'generators': [3, 6, 216, 4, 144], 'label': '432.200.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.c1', '18.a1', '18.b1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '6.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375459
{'ambient': '432.200', 'aut_centralizer_order': 24, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 9, 'aut_weyl_group': '48.45', 'aut_weyl_index': 216, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 9, 'contained_in': ['2.a1', '3.b1'], 'contains': ['12.b1', '12.d1', '18.b1'], 'core': '6.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [5067, 5067, 4636, 4636], 'generators': [9, 144, 216, 48, 6], 'label': '432.200.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.a1', '3.b1'], 'normal_contains': ['12.b1', '12.d1', '18.b1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '6.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58375460
{'ambient': '432.200', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '108.28', 'aut_weyl_index': 96, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '4.b1'], 'contains': ['16.a1', '24.a1', '24.b1'], 'core': '8.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1645, 1645, 689, 689], 'generators': [6, 4, 48, 144], 'label': '432.200.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1'], 'normal_contains': ['16.a1', '24.a1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
