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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '192.127', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [2, 2, 4, 6, 4, 2, 4], 'aut_gens': [[1, 8], [1, 136], [3, 10], [121, 62], [126, 155], [7, 58], [5, 104], [149, 14]], 'aut_group': '3072.bkl', 'aut_hash': 6934382484929953717, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3072, 'aut_permdeg': 30, 'aut_perms': [28147859077333821877321593891121, 90293361449065725473013697396230, 93037859994582219996390969406248, 126697115584518340854610004814000, 18013530034865359380558185354880, 28147859077333821877321593891120, 23600355485869176372642600252720], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [3, 1, 2, 1], [4, 1, 12, 1], [6, 1, 6, 1], [8, 1, 48, 1], [12, 1, 24, 1], [24, 1, 96, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^5.\\GL(2,\\mathbb{Z}/4)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 24, 'autcent_group': '3072.bkl', 'autcent_hash': 6934382484929953717, 'autcent_nilpotent': False, 'autcent_order': 3072, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^5.\\GL(2,\\mathbb{Z}/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, 2], [4, 1, 12], [6, 1, 6], [8, 1, 48], [12, 1, 24], [24, 1, 96]], 'center_label': '192.127', 'center_order': 192, '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', '2.1', '2.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 127, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['8.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 1, 2, 1], [4, 1, 2, 6], [6, 1, 2, 3], [8, 1, 4, 12], [12, 1, 4, 6], [24, 1, 8, 12]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 4, 'exponent': 24, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '16.2', 'frattini_quotient': '12.5', 'hash': 127, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1], 'inner_gens': [[1, 8], [1, 8]], '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, 192]], 'label': '192.127', 'linC_count': 6144, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 192, 'linQ_dim': 10, 'linQ_dim_count': 192, 'linR_count': 1536, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C8*C24', 'ngens': 7, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 8, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 192, 'number_divisions': 44, 'number_normal_subgroups': 74, 'number_subgroup_autclasses': 20, 'number_subgroup_classes': 74, 'number_subgroups': 74, 'old_label': None, 'order': 192, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 3], [3, 2], [4, 12], [6, 6], [8, 48], [12, 24], [24, 96]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 24, 'outer_gen_orders': [2, 2, 4, 6, 4, 2, 4], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 136], [3, 10], [121, 62], [126, 155], [7, 58], [5, 104], [149, 14]], 'outer_group': '3072.bkl', 'outer_hash': 6934382484929953717, 'outer_nilpotent': False, 'outer_order': 3072, 'outer_permdeg': 30, 'outer_perms': [28147859077333821877321593891121, 90293361449065725473013697396230, 93037859994582219996390969406248, 126697115584518340854610004814000, 18013530034865359380558185354880, 28147859077333821877321593891120, 23600355485869176372642600252720], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^5.\\GL(2,\\mathbb{Z}/4)', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 19, 'pgroup': 0, 'primary_abelian_invariants': [8, 8, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [4, 18], [8, 12]], 'representations': {'PC': {'code': 23715331939762183553, 'gens': [1, 4], 'pres': [7, -2, -2, -2, -2, -2, -2, -3, 14, 36, 80, 102, 124]}, 'GLFp': {'d': 2, 'p': 73, 'gens': [25675174, 3890171]}, 'Perm': {'d': 19, 'gens': [47039662365696000, 27760320, 4, 19918769962291200, 11614560, 6423384152908800, 3669864]}}, 'schur_multiplier': [8], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [8, 24], 'solvability_type': 1, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_8\\times C_{24}', 'transitive_degree': 192, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 95263534
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 127, 'group_order': 192, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
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id: 95263638
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 127, 'group_order': 192, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 96, 'size': 1}
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id: 95263649
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 127, 'group_order': 192, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 4, 'size': 1}
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id: 95263660
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 127, 'group_order': 192, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 100, 'size': 1}
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id: 95263671
{'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 127, 'group_order': 192, 'label': '3A1', 'order': 3, 'powers': [6, 1], 'representative': 64, 'size': 1}
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id: 95263682
{'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 127, 'group_order': 192, 'label': '3A-1', 'order': 3, 'powers': [5, 1], 'representative': 128, 'size': 1}
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id: 95263693
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 127, 'group_order': 192, 'label': '4A1', 'order': 4, 'powers': [2, 8], 'representative': 48, 'size': 1}
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id: 95263704
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 127, 'group_order': 192, 'label': '4A-1', 'order': 4, 'powers': [2, 7], 'representative': 144, 'size': 1}
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id: 95263715
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 127, 'group_order': 192, 'label': '4B1', 'order': 4, 'powers': [2, 10], 'representative': 52, 'size': 1}
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id: 95263535
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 127, 'group_order': 192, 'label': '4B-1', 'order': 4, 'powers': [2, 9], 'representative': 148, 'size': 1}
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id: 95263546
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 127, 'group_order': 192, 'label': '4C1', 'order': 4, 'powers': [3, 12], 'representative': 6, 'size': 1}
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id: 95263557
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 127, 'group_order': 192, 'label': '4C-1', 'order': 4, 'powers': [3, 11], 'representative': 2, 'size': 1}
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id: 95263568
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 127, 'group_order': 192, 'label': '4D1', 'order': 4, 'powers': [3, 14], 'representative': 102, 'size': 1}
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id: 95263579
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 127, 'group_order': 192, 'label': '4D-1', 'order': 4, 'powers': [3, 13], 'representative': 98, 'size': 1}
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id: 95263590
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 127, 'group_order': 192, 'label': '4E1', 'order': 4, 'powers': [4, 16], 'representative': 54, 'size': 1}
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id: 95263601
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 127, 'group_order': 192, 'label': '4E-1', 'order': 4, 'powers': [4, 15], 'representative': 146, 'size': 1}
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id: 95263612
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 127, 'group_order': 192, 'label': '4F1', 'order': 4, 'powers': [4, 18], 'representative': 50, 'size': 1}
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id: 95263623
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 127, 'group_order': 192, 'label': '4F-1', 'order': 4, 'powers': [4, 17], 'representative': 150, 'size': 1}
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id: 95263634
{'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 127, 'group_order': 192, 'label': '6A1', 'order': 6, 'powers': [5, 2], 'representative': 32, 'size': 1}
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id: 95263639
{'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 127, 'group_order': 192, 'label': '6A-1', 'order': 6, 'powers': [6, 2], 'representative': 160, 'size': 1}
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id: 95263640
{'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 127, 'group_order': 192, 'label': '6B1', 'order': 6, 'powers': [6, 3], 'representative': 68, 'size': 1}
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id: 95263641
{'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 127, 'group_order': 192, 'label': '6B-1', 'order': 6, 'powers': [5, 3], 'representative': 132, 'size': 1}
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id: 95263642
{'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 127, 'group_order': 192, 'label': '6C1', 'order': 6, 'powers': [5, 4], 'representative': 36, 'size': 1}
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id: 95263643
{'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 127, 'group_order': 192, 'label': '6C-1', 'order': 6, 'powers': [6, 4], 'representative': 164, 'size': 1}
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id: 95263644
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 127, 'group_order': 192, 'label': '8A1', 'order': 8, 'powers': [7, 27], 'representative': 24, 'size': 1}
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id: 95263645
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 127, 'group_order': 192, 'label': '8A-1', 'order': 8, 'powers': [8, 28], 'representative': 168, 'size': 1}
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id: 95263646
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 127, 'group_order': 192, 'label': '8A3', 'order': 8, 'powers': [8, 25], 'representative': 72, 'size': 1}
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id: 95263647
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 127, 'group_order': 192, 'label': '8A-3', 'order': 8, 'powers': [7, 26], 'representative': 120, 'size': 1}
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id: 95263648
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 127, 'group_order': 192, 'label': '8B1', 'order': 8, 'powers': [7, 31], 'representative': 28, 'size': 1}
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id: 95263650
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 127, 'group_order': 192, 'label': '8B-1', 'order': 8, 'powers': [8, 32], 'representative': 172, 'size': 1}
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id: 95263651
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 127, 'group_order': 192, 'label': '8B3', 'order': 8, 'powers': [8, 29], 'representative': 76, 'size': 1}
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id: 95263652
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 127, 'group_order': 192, 'label': '8B-3', 'order': 8, 'powers': [7, 30], 'representative': 124, 'size': 1}
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id: 95263653
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 127, 'group_order': 192, 'label': '8C1', 'order': 8, 'powers': [9, 35], 'representative': 30, 'size': 1}
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id: 95263654
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 127, 'group_order': 192, 'label': '8C-1', 'order': 8, 'powers': [10, 36], 'representative': 170, 'size': 1}
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id: 95263655
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 127, 'group_order': 192, 'label': '8C3', 'order': 8, 'powers': [10, 33], 'representative': 74, 'size': 1}
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id: 95263656
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 127, 'group_order': 192, 'label': '8C-3', 'order': 8, 'powers': [9, 34], 'representative': 126, 'size': 1}
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id: 95263657
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 127, 'group_order': 192, 'label': '8D1', 'order': 8, 'powers': [11, 39], 'representative': 3, 'size': 1}
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id: 95263658
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 127, 'group_order': 192, 'label': '8D-1', 'order': 8, 'powers': [12, 40], 'representative': 5, 'size': 1}
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id: 95263659
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 127, 'group_order': 192, 'label': '8D3', 'order': 8, 'powers': [12, 37], 'representative': 1, 'size': 1}
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id: 95263661
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 127, 'group_order': 192, 'label': '8D-3', 'order': 8, 'powers': [11, 38], 'representative': 7, 'size': 1}
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id: 95263662
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 127, 'group_order': 192, 'label': '8E1', 'order': 8, 'powers': [11, 43], 'representative': 99, 'size': 1}
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id: 95263663
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 127, 'group_order': 192, 'label': '8E-1', 'order': 8, 'powers': [12, 44], 'representative': 101, 'size': 1}
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id: 95263664
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 127, 'group_order': 192, 'label': '8E3', 'order': 8, 'powers': [12, 41], 'representative': 97, 'size': 1}
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id: 95263665
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 127, 'group_order': 192, 'label': '8E-3', 'order': 8, 'powers': [11, 42], 'representative': 103, 'size': 1}
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id: 95263666
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 127, 'group_order': 192, 'label': '8F1', 'order': 8, 'powers': [13, 47], 'representative': 51, 'size': 1}
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id: 95263667
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 127, 'group_order': 192, 'label': '8F-1', 'order': 8, 'powers': [14, 48], 'representative': 149, 'size': 1}
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id: 95263668
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 127, 'group_order': 192, 'label': '8F3', 'order': 8, 'powers': [14, 45], 'representative': 145, 'size': 1}
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id: 95263669
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 127, 'group_order': 192, 'label': '8F-3', 'order': 8, 'powers': [13, 46], 'representative': 55, 'size': 1}
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id: 95263670
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 127, 'group_order': 192, 'label': '8G1', 'order': 8, 'powers': [15, 51], 'representative': 27, 'size': 1}
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id: 95263672
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 127, 'group_order': 192, 'label': '8G-1', 'order': 8, 'powers': [16, 52], 'representative': 173, 'size': 1}
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id: 95263673
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 127, 'group_order': 192, 'label': '8G3', 'order': 8, 'powers': [16, 49], 'representative': 73, 'size': 1}
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id: 95263674
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 127, 'group_order': 192, 'label': '8G-3', 'order': 8, 'powers': [15, 50], 'representative': 127, 'size': 1}
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id: 95263675
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 127, 'group_order': 192, 'label': '8H1', 'order': 8, 'powers': [9, 55], 'representative': 26, 'size': 1}
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id: 95263676
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 127, 'group_order': 192, 'label': '8H-1', 'order': 8, 'powers': [10, 56], 'representative': 174, 'size': 1}
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id: 95263677
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 127, 'group_order': 192, 'label': '8H3', 'order': 8, 'powers': [10, 53], 'representative': 78, 'size': 1}
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id: 95263678
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 127, 'group_order': 192, 'label': '8H-3', 'order': 8, 'powers': [9, 54], 'representative': 122, 'size': 1}
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id: 95263679
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 57, 'group_counter': 127, 'group_order': 192, 'label': '8I1', 'order': 8, 'powers': [15, 59], 'representative': 123, 'size': 1}
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id: 95263680
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 127, 'group_order': 192, 'label': '8I-1', 'order': 8, 'powers': [16, 60], 'representative': 77, 'size': 1}
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id: 95263681
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 59, 'group_counter': 127, 'group_order': 192, 'label': '8I3', 'order': 8, 'powers': [16, 57], 'representative': 169, 'size': 1}
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id: 95263683
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 60, 'group_counter': 127, 'group_order': 192, 'label': '8I-3', 'order': 8, 'powers': [15, 58], 'representative': 31, 'size': 1}
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id: 95263684
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 61, 'group_counter': 127, 'group_order': 192, 'label': '8J1', 'order': 8, 'powers': [14, 63], 'representative': 49, 'size': 1}
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id: 95263685
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 62, 'group_counter': 127, 'group_order': 192, 'label': '8J-1', 'order': 8, 'powers': [13, 64], 'representative': 151, 'size': 1}
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id: 95263686
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 63, 'group_counter': 127, 'group_order': 192, 'label': '8J3', 'order': 8, 'powers': [13, 61], 'representative': 147, 'size': 1}
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id: 95263687
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 64, 'group_counter': 127, 'group_order': 192, 'label': '8J-3', 'order': 8, 'powers': [14, 62], 'representative': 53, 'size': 1}
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id: 95263688
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 65, 'group_counter': 127, 'group_order': 192, 'label': '8K1', 'order': 8, 'powers': [17, 67], 'representative': 25, 'size': 1}
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id: 95263689
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 66, 'group_counter': 127, 'group_order': 192, 'label': '8K-1', 'order': 8, 'powers': [18, 68], 'representative': 175, 'size': 1}
-
id: 95263690
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 67, 'group_counter': 127, 'group_order': 192, 'label': '8K3', 'order': 8, 'powers': [18, 65], 'representative': 75, 'size': 1}
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id: 95263691
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 68, 'group_counter': 127, 'group_order': 192, 'label': '8K-3', 'order': 8, 'powers': [17, 66], 'representative': 125, 'size': 1}
-
id: 95263692
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 69, 'group_counter': 127, 'group_order': 192, 'label': '8L1', 'order': 8, 'powers': [18, 71], 'representative': 171, 'size': 1}
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id: 95263694
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 70, 'group_counter': 127, 'group_order': 192, 'label': '8L-1', 'order': 8, 'powers': [17, 72], 'representative': 29, 'size': 1}
-
id: 95263695
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 71, 'group_counter': 127, 'group_order': 192, 'label': '8L3', 'order': 8, 'powers': [17, 69], 'representative': 121, 'size': 1}
-
id: 95263696
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 72, 'group_counter': 127, 'group_order': 192, 'label': '8L-3', 'order': 8, 'powers': [18, 70], 'representative': 79, 'size': 1}
-
id: 95263697
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 73, 'group_counter': 127, 'group_order': 192, 'label': '12A1', 'order': 12, 'powers': [19, 7], 'representative': 16, 'size': 1}
-
id: 95263698
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 74, 'group_counter': 127, 'group_order': 192, 'label': '12A-1', 'order': 12, 'powers': [20, 8], 'representative': 176, 'size': 1}
-
id: 95263699
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 75, 'group_counter': 127, 'group_order': 192, 'label': '12A5', 'order': 12, 'powers': [20, 7], 'representative': 80, 'size': 1}
-
id: 95263700
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 76, 'group_counter': 127, 'group_order': 192, 'label': '12A-5', 'order': 12, 'powers': [19, 8], 'representative': 112, 'size': 1}
-
id: 95263701
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 77, 'group_counter': 127, 'group_order': 192, 'label': '12B1', 'order': 12, 'powers': [19, 9], 'representative': 20, 'size': 1}
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id: 95263702
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 78, 'group_counter': 127, 'group_order': 192, 'label': '12B-1', 'order': 12, 'powers': [20, 10], 'representative': 180, 'size': 1}
-
id: 95263703
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 79, 'group_counter': 127, 'group_order': 192, 'label': '12B5', 'order': 12, 'powers': [20, 9], 'representative': 84, 'size': 1}
-
id: 95263705
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 80, 'group_counter': 127, 'group_order': 192, 'label': '12B-5', 'order': 12, 'powers': [19, 10], 'representative': 116, 'size': 1}
-
id: 95263706
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 81, 'group_counter': 127, 'group_order': 192, 'label': '12C1', 'order': 12, 'powers': [21, 11], 'representative': 130, 'size': 1}
-
id: 95263707
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 82, 'group_counter': 127, 'group_order': 192, 'label': '12C-1', 'order': 12, 'powers': [22, 12], 'representative': 70, 'size': 1}
-
id: 95263708
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 83, 'group_counter': 127, 'group_order': 192, 'label': '12C5', 'order': 12, 'powers': [22, 11], 'representative': 66, 'size': 1}
-
id: 95263709
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 84, 'group_counter': 127, 'group_order': 192, 'label': '12C-5', 'order': 12, 'powers': [21, 12], 'representative': 134, 'size': 1}
-
id: 95263710
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 85, 'group_counter': 127, 'group_order': 192, 'label': '12D1', 'order': 12, 'powers': [21, 13], 'representative': 34, 'size': 1}
-
id: 95263711
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 86, 'group_counter': 127, 'group_order': 192, 'label': '12D-1', 'order': 12, 'powers': [22, 14], 'representative': 166, 'size': 1}
-
id: 95263712
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 87, 'group_counter': 127, 'group_order': 192, 'label': '12D5', 'order': 12, 'powers': [22, 13], 'representative': 162, 'size': 1}
-
id: 95263713
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 88, 'group_counter': 127, 'group_order': 192, 'label': '12D-5', 'order': 12, 'powers': [21, 14], 'representative': 38, 'size': 1}
-
id: 95263714
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 89, 'group_counter': 127, 'group_order': 192, 'label': '12E1', 'order': 12, 'powers': [23, 15], 'representative': 18, 'size': 1}
-
id: 95263716
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 90, 'group_counter': 127, 'group_order': 192, 'label': '12E-1', 'order': 12, 'powers': [24, 16], 'representative': 182, 'size': 1}
-
id: 95263717
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 91, 'group_counter': 127, 'group_order': 192, 'label': '12E5', 'order': 12, 'powers': [24, 15], 'representative': 82, 'size': 1}
-
id: 95263718
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 92, 'group_counter': 127, 'group_order': 192, 'label': '12E-5', 'order': 12, 'powers': [23, 16], 'representative': 118, 'size': 1}
-
id: 95263719
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 93, 'group_counter': 127, 'group_order': 192, 'label': '12F1', 'order': 12, 'powers': [23, 17], 'representative': 22, 'size': 1}
-
id: 95263720
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 94, 'group_counter': 127, 'group_order': 192, 'label': '12F-1', 'order': 12, 'powers': [24, 18], 'representative': 178, 'size': 1}
-
id: 95263721
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 95, 'group_counter': 127, 'group_order': 192, 'label': '12F5', 'order': 12, 'powers': [24, 17], 'representative': 86, 'size': 1}
-
id: 95263722
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 96, 'group_counter': 127, 'group_order': 192, 'label': '12F-5', 'order': 12, 'powers': [23, 18], 'representative': 114, 'size': 1}
-
id: 95263723
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 97, 'group_counter': 127, 'group_order': 192, 'label': '24A1', 'order': 24, 'powers': [73, 25], 'representative': 8, 'size': 1}
-
id: 95263724
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 98, 'group_counter': 127, 'group_order': 192, 'label': '24A-1', 'order': 24, 'powers': [74, 26], 'representative': 184, 'size': 1}
-
id: 95263725
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 99, 'group_counter': 127, 'group_order': 192, 'label': '24A5', 'order': 24, 'powers': [75, 28], 'representative': 40, 'size': 1}
-
id: 95263536
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 100, 'group_counter': 127, 'group_order': 192, 'label': '24A-5', 'order': 24, 'powers': [76, 27], 'representative': 152, 'size': 1}
-
id: 95263537
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 101, 'group_counter': 127, 'group_order': 192, 'label': '24A7', 'order': 24, 'powers': [76, 26], 'representative': 56, 'size': 1}
-
id: 95263538
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 102, 'group_counter': 127, 'group_order': 192, 'label': '24A-7', 'order': 24, 'powers': [75, 25], 'representative': 136, 'size': 1}
-
id: 95263539
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 103, 'group_counter': 127, 'group_order': 192, 'label': '24A11', 'order': 24, 'powers': [74, 27], 'representative': 88, 'size': 1}
-
id: 95263540
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 104, 'group_counter': 127, 'group_order': 192, 'label': '24A-11', 'order': 24, 'powers': [73, 28], 'representative': 104, 'size': 1}
-
id: 95263541
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 105, 'group_counter': 127, 'group_order': 192, 'label': '24B1', 'order': 24, 'powers': [73, 29], 'representative': 12, 'size': 1}
-
id: 95263542
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 106, 'group_counter': 127, 'group_order': 192, 'label': '24B-1', 'order': 24, 'powers': [74, 30], 'representative': 188, 'size': 1}
-
id: 95263543
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 107, 'group_counter': 127, 'group_order': 192, 'label': '24B5', 'order': 24, 'powers': [75, 32], 'representative': 44, 'size': 1}
-
id: 95263544
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 108, 'group_counter': 127, 'group_order': 192, 'label': '24B-5', 'order': 24, 'powers': [76, 31], 'representative': 156, 'size': 1}
-
id: 95263545
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 109, 'group_counter': 127, 'group_order': 192, 'label': '24B7', 'order': 24, 'powers': [76, 30], 'representative': 60, 'size': 1}
-
id: 95263547
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 110, 'group_counter': 127, 'group_order': 192, 'label': '24B-7', 'order': 24, 'powers': [75, 29], 'representative': 140, 'size': 1}
-
id: 95263548
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 111, 'group_counter': 127, 'group_order': 192, 'label': '24B11', 'order': 24, 'powers': [74, 31], 'representative': 92, 'size': 1}
-
id: 95263549
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 112, 'group_counter': 127, 'group_order': 192, 'label': '24B-11', 'order': 24, 'powers': [73, 32], 'representative': 108, 'size': 1}
-
id: 95263550
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 113, 'group_counter': 127, 'group_order': 192, 'label': '24C1', 'order': 24, 'powers': [77, 33], 'representative': 10, 'size': 1}
-
id: 95263551
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 114, 'group_counter': 127, 'group_order': 192, 'label': '24C-1', 'order': 24, 'powers': [78, 34], 'representative': 190, 'size': 1}
-
id: 95263552
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 115, 'group_counter': 127, 'group_order': 192, 'label': '24C5', 'order': 24, 'powers': [79, 36], 'representative': 42, 'size': 1}
-
id: 95263553
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 116, 'group_counter': 127, 'group_order': 192, 'label': '24C-5', 'order': 24, 'powers': [80, 35], 'representative': 158, 'size': 1}
-
id: 95263554
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 117, 'group_counter': 127, 'group_order': 192, 'label': '24C7', 'order': 24, 'powers': [80, 34], 'representative': 62, 'size': 1}
-
id: 95263555
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 118, 'group_counter': 127, 'group_order': 192, 'label': '24C-7', 'order': 24, 'powers': [79, 33], 'representative': 138, 'size': 1}
-
id: 95263556
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 119, 'group_counter': 127, 'group_order': 192, 'label': '24C11', 'order': 24, 'powers': [78, 35], 'representative': 94, 'size': 1}
-
id: 95263558
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 120, 'group_counter': 127, 'group_order': 192, 'label': '24C-11', 'order': 24, 'powers': [77, 36], 'representative': 106, 'size': 1}
-
id: 95263559
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 121, 'group_counter': 127, 'group_order': 192, 'label': '24D1', 'order': 24, 'powers': [81, 37], 'representative': 65, 'size': 1}
-
id: 95263560
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 122, 'group_counter': 127, 'group_order': 192, 'label': '24D-1', 'order': 24, 'powers': [82, 38], 'representative': 135, 'size': 1}
-
id: 95263561
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 123, 'group_counter': 127, 'group_order': 192, 'label': '24D5', 'order': 24, 'powers': [83, 40], 'representative': 133, 'size': 1}
-
id: 95263562
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 124, 'group_counter': 127, 'group_order': 192, 'label': '24D-5', 'order': 24, 'powers': [84, 39], 'representative': 67, 'size': 1}
-
id: 95263563
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 125, 'group_counter': 127, 'group_order': 192, 'label': '24D7', 'order': 24, 'powers': [84, 38], 'representative': 71, 'size': 1}
-
id: 95263564
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 126, 'group_counter': 127, 'group_order': 192, 'label': '24D-7', 'order': 24, 'powers': [83, 37], 'representative': 129, 'size': 1}
-
id: 95263565
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 127, 'group_counter': 127, 'group_order': 192, 'label': '24D11', 'order': 24, 'powers': [82, 39], 'representative': 131, 'size': 1}
-
id: 95263566
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 128, 'group_counter': 127, 'group_order': 192, 'label': '24D-11', 'order': 24, 'powers': [81, 40], 'representative': 69, 'size': 1}
-
id: 95263567
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 129, 'group_counter': 127, 'group_order': 192, 'label': '24E1', 'order': 24, 'powers': [83, 41], 'representative': 33, 'size': 1}
-
id: 95263569
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 130, 'group_counter': 127, 'group_order': 192, 'label': '24E-1', 'order': 24, 'powers': [84, 42], 'representative': 167, 'size': 1}
-
id: 95263570
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 131, 'group_counter': 127, 'group_order': 192, 'label': '24E5', 'order': 24, 'powers': [81, 44], 'representative': 165, 'size': 1}
-
id: 95263571
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 132, 'group_counter': 127, 'group_order': 192, 'label': '24E-5', 'order': 24, 'powers': [82, 43], 'representative': 35, 'size': 1}
-
id: 95263572
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 133, 'group_counter': 127, 'group_order': 192, 'label': '24E7', 'order': 24, 'powers': [82, 42], 'representative': 39, 'size': 1}
-
id: 95263573
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 134, 'group_counter': 127, 'group_order': 192, 'label': '24E-7', 'order': 24, 'powers': [81, 41], 'representative': 161, 'size': 1}
-
id: 95263574
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 135, 'group_counter': 127, 'group_order': 192, 'label': '24E11', 'order': 24, 'powers': [84, 43], 'representative': 163, 'size': 1}
-
id: 95263575
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 136, 'group_counter': 127, 'group_order': 192, 'label': '24E-11', 'order': 24, 'powers': [83, 44], 'representative': 37, 'size': 1}
-
id: 95263576
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 137, 'group_counter': 127, 'group_order': 192, 'label': '24F1', 'order': 24, 'powers': [85, 45], 'representative': 17, 'size': 1}
-
id: 95263577
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 138, 'group_counter': 127, 'group_order': 192, 'label': '24F-1', 'order': 24, 'powers': [86, 46], 'representative': 183, 'size': 1}
-
id: 95263578
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 139, 'group_counter': 127, 'group_order': 192, 'label': '24F5', 'order': 24, 'powers': [87, 48], 'representative': 85, 'size': 1}
-
id: 95263580
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 140, 'group_counter': 127, 'group_order': 192, 'label': '24F-5', 'order': 24, 'powers': [88, 47], 'representative': 115, 'size': 1}
-
id: 95263581
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 141, 'group_counter': 127, 'group_order': 192, 'label': '24F7', 'order': 24, 'powers': [88, 46], 'representative': 119, 'size': 1}
-
id: 95263582
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 142, 'group_counter': 127, 'group_order': 192, 'label': '24F-7', 'order': 24, 'powers': [87, 45], 'representative': 81, 'size': 1}
-
id: 95263583
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 143, 'group_counter': 127, 'group_order': 192, 'label': '24F11', 'order': 24, 'powers': [86, 47], 'representative': 179, 'size': 1}
-
id: 95263584
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 144, 'group_counter': 127, 'group_order': 192, 'label': '24F-11', 'order': 24, 'powers': [85, 48], 'representative': 21, 'size': 1}
-
id: 95263585
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 145, 'group_counter': 127, 'group_order': 192, 'label': '24G1', 'order': 24, 'powers': [89, 49], 'representative': 9, 'size': 1}
-
id: 95263586
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 146, 'group_counter': 127, 'group_order': 192, 'label': '24G-1', 'order': 24, 'powers': [90, 50], 'representative': 191, 'size': 1}
-
id: 95263587
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 147, 'group_counter': 127, 'group_order': 192, 'label': '24G5', 'order': 24, 'powers': [91, 52], 'representative': 45, 'size': 1}
-
id: 95263588
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 148, 'group_counter': 127, 'group_order': 192, 'label': '24G-5', 'order': 24, 'powers': [92, 51], 'representative': 155, 'size': 1}
-
id: 95263589
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 149, 'group_counter': 127, 'group_order': 192, 'label': '24G7', 'order': 24, 'powers': [92, 50], 'representative': 63, 'size': 1}
-
id: 95263591
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 150, 'group_counter': 127, 'group_order': 192, 'label': '24G-7', 'order': 24, 'powers': [91, 49], 'representative': 137, 'size': 1}
-
id: 95263592
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 151, 'group_counter': 127, 'group_order': 192, 'label': '24G11', 'order': 24, 'powers': [90, 51], 'representative': 91, 'size': 1}
-
id: 95263593
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 152, 'group_counter': 127, 'group_order': 192, 'label': '24G-11', 'order': 24, 'powers': [89, 52], 'representative': 109, 'size': 1}
-
id: 95263594
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 153, 'group_counter': 127, 'group_order': 192, 'label': '24H1', 'order': 24, 'powers': [77, 53], 'representative': 14, 'size': 1}
-
id: 95263595
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 154, 'group_counter': 127, 'group_order': 192, 'label': '24H-1', 'order': 24, 'powers': [78, 54], 'representative': 186, 'size': 1}
-
id: 95263596
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 155, 'group_counter': 127, 'group_order': 192, 'label': '24H5', 'order': 24, 'powers': [79, 56], 'representative': 46, 'size': 1}
-
id: 95263597
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 156, 'group_counter': 127, 'group_order': 192, 'label': '24H-5', 'order': 24, 'powers': [80, 55], 'representative': 154, 'size': 1}
-
id: 95263598
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 157, 'group_counter': 127, 'group_order': 192, 'label': '24H7', 'order': 24, 'powers': [80, 54], 'representative': 58, 'size': 1}
-
id: 95263599
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 158, 'group_counter': 127, 'group_order': 192, 'label': '24H-7', 'order': 24, 'powers': [79, 53], 'representative': 142, 'size': 1}
-
id: 95263600
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 159, 'group_counter': 127, 'group_order': 192, 'label': '24H11', 'order': 24, 'powers': [78, 55], 'representative': 90, 'size': 1}
-
id: 95263602
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 160, 'group_counter': 127, 'group_order': 192, 'label': '24H-11', 'order': 24, 'powers': [77, 56], 'representative': 110, 'size': 1}
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id: 95263603
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 161, 'group_counter': 127, 'group_order': 192, 'label': '24I1', 'order': 24, 'powers': [91, 57], 'representative': 41, 'size': 1}
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id: 95263604
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 162, 'group_counter': 127, 'group_order': 192, 'label': '24I-1', 'order': 24, 'powers': [92, 58], 'representative': 159, 'size': 1}
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id: 95263605
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 163, 'group_counter': 127, 'group_order': 192, 'label': '24I5', 'order': 24, 'powers': [89, 60], 'representative': 13, 'size': 1}
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id: 95263606
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 164, 'group_counter': 127, 'group_order': 192, 'label': '24I-5', 'order': 24, 'powers': [90, 59], 'representative': 187, 'size': 1}
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id: 95263607
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 165, 'group_counter': 127, 'group_order': 192, 'label': '24I7', 'order': 24, 'powers': [90, 58], 'representative': 95, 'size': 1}
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id: 95263608
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 166, 'group_counter': 127, 'group_order': 192, 'label': '24I-7', 'order': 24, 'powers': [89, 57], 'representative': 105, 'size': 1}
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id: 95263609
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 167, 'group_counter': 127, 'group_order': 192, 'label': '24I11', 'order': 24, 'powers': [92, 59], 'representative': 59, 'size': 1}
-
id: 95263610
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 168, 'group_counter': 127, 'group_order': 192, 'label': '24I-11', 'order': 24, 'powers': [91, 60], 'representative': 141, 'size': 1}
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id: 95263611
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 169, 'group_counter': 127, 'group_order': 192, 'label': '24J1', 'order': 24, 'powers': [88, 61], 'representative': 19, 'size': 1}
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id: 95263613
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 170, 'group_counter': 127, 'group_order': 192, 'label': '24J-1', 'order': 24, 'powers': [87, 62], 'representative': 181, 'size': 1}
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id: 95263614
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 171, 'group_counter': 127, 'group_order': 192, 'label': '24J5', 'order': 24, 'powers': [86, 64], 'representative': 87, 'size': 1}
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id: 95263615
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 172, 'group_counter': 127, 'group_order': 192, 'label': '24J-5', 'order': 24, 'powers': [85, 63], 'representative': 113, 'size': 1}
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id: 95263616
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 173, 'group_counter': 127, 'group_order': 192, 'label': '24J7', 'order': 24, 'powers': [85, 62], 'representative': 117, 'size': 1}
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id: 95263617
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 174, 'group_counter': 127, 'group_order': 192, 'label': '24J-7', 'order': 24, 'powers': [86, 61], 'representative': 83, 'size': 1}
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id: 95263618
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 175, 'group_counter': 127, 'group_order': 192, 'label': '24J11', 'order': 24, 'powers': [87, 63], 'representative': 177, 'size': 1}
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id: 95263619
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 176, 'group_counter': 127, 'group_order': 192, 'label': '24J-11', 'order': 24, 'powers': [88, 64], 'representative': 23, 'size': 1}
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id: 95263620
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 177, 'group_counter': 127, 'group_order': 192, 'label': '24K1', 'order': 24, 'powers': [93, 65], 'representative': 11, 'size': 1}
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id: 95263621
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 178, 'group_counter': 127, 'group_order': 192, 'label': '24K-1', 'order': 24, 'powers': [94, 66], 'representative': 189, 'size': 1}
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id: 95263622
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 179, 'group_counter': 127, 'group_order': 192, 'label': '24K5', 'order': 24, 'powers': [95, 68], 'representative': 47, 'size': 1}
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id: 95263624
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 180, 'group_counter': 127, 'group_order': 192, 'label': '24K-5', 'order': 24, 'powers': [96, 67], 'representative': 153, 'size': 1}
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id: 95263625
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 181, 'group_counter': 127, 'group_order': 192, 'label': '24K7', 'order': 24, 'powers': [96, 66], 'representative': 61, 'size': 1}
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id: 95263626
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 182, 'group_counter': 127, 'group_order': 192, 'label': '24K-7', 'order': 24, 'powers': [95, 65], 'representative': 139, 'size': 1}
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id: 95263627
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 183, 'group_counter': 127, 'group_order': 192, 'label': '24K11', 'order': 24, 'powers': [94, 67], 'representative': 89, 'size': 1}
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id: 95263628
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 184, 'group_counter': 127, 'group_order': 192, 'label': '24K-11', 'order': 24, 'powers': [93, 68], 'representative': 111, 'size': 1}
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id: 95263629
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 185, 'group_counter': 127, 'group_order': 192, 'label': '24L1', 'order': 24, 'powers': [96, 69], 'representative': 57, 'size': 1}
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id: 95263630
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 186, 'group_counter': 127, 'group_order': 192, 'label': '24L-1', 'order': 24, 'powers': [95, 70], 'representative': 143, 'size': 1}
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id: 95263631
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 187, 'group_counter': 127, 'group_order': 192, 'label': '24L5', 'order': 24, 'powers': [94, 72], 'representative': 93, 'size': 1}
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id: 95263632
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 188, 'group_counter': 127, 'group_order': 192, 'label': '24L-5', 'order': 24, 'powers': [93, 71], 'representative': 107, 'size': 1}
-
id: 95263633
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 189, 'group_counter': 127, 'group_order': 192, 'label': '24L7', 'order': 24, 'powers': [93, 70], 'representative': 15, 'size': 1}
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id: 95263635
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 190, 'group_counter': 127, 'group_order': 192, 'label': '24L-7', 'order': 24, 'powers': [94, 69], 'representative': 185, 'size': 1}
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id: 95263636
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 191, 'group_counter': 127, 'group_order': 192, 'label': '24L11', 'order': 24, 'powers': [95, 71], 'representative': 43, 'size': 1}
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id: 95263637
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 192, 'group_counter': 127, 'group_order': 192, 'label': '24L-11', 'order': 24, 'powers': [96, 72], 'representative': 157, 'size': 1}
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gps_qchar • Show schema
Hide schema
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id: 217924
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1a', '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], 'schur_index': 1}
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id: 217935
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 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: 217946
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -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: 217957
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -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: 217963
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 217964
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 2, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, 0, 2, 2, -2, 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, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, 0, 2, 0, 2, 0, -2, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 2, 0, 0, 0, 0, 2, 2, 0, -2, 0, 0, 0, 2, 2, 0, -2, 0, 0, 0, -2], 'schur_index': 1}
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id: 217965
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1g', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, 2, 2, 0, -2, 0, 0, 0, 0, -2, -2, 2, 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, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 0, -2, 0, -2, 0, 2, 2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, 2], 'schur_index': 1}
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id: 217966
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1h', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 0, 2, 2, 2, 0, 0, -2, -2, -2, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 0, 2, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, 0, 2, 2, -2, 0], 'schur_index': 1}
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id: 217967
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 0, -2, -2, -2, 0, 0, 2, 2, 2, 2, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 0, -2, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 0, -2, -2, 2, 0], 'schur_index': 1}
-
id: 217925
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, -2, 0, 0, -2, 0, 0, -2, -2, 0, 2, 0, 0, 0, 0, 2, 0, -2, -2, 0, 2, 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, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 2, 0, 2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217926
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 2, 0, 0, 2, 0, 0, 2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 2, 2, 0, -2, 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, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, -2, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217927
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1l', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1], 'schur_index': 1}
-
id: 217928
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1m', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
-
id: 217929
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1n', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1], 'schur_index': 1}
-
id: 217930
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1o', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, 4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, -4, -4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4], 'schur_index': 1}
-
id: 217931
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1p', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, 4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, -4, -4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4], 'schur_index': 1}
-
id: 217932
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1q', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, -4, 0, -4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 4, 4, -4, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217933
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1r', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, -4, 0, -4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 4, 4, -4, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217934
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1s', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 4, -4, 0, 0, 0, 4, 0, 4, 0, -4, 0, 0, 0, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 4, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217936
{'cdim': 1, 'counter': 20, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1t', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 4, -4, 0, 0, 0, 4, 0, 4, 0, -4, 0, 0, 0, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 4, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217937
{'cdim': 1, 'counter': 21, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1u', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 4, 4, 0, 0, 0, -4, 0, -4, 0, 4, 0, 0, 0, -4, -4, -4, -4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, -4, 0, 0, 0, 4, -4, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217938
{'cdim': 1, 'counter': 22, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1v', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 4, 4, 0, 0, 0, -4, 0, -4, 0, 4, 0, 0, 0, -4, -4, -4, -4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, -4, 0, 0, 0, 4, -4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217939
{'cdim': 1, 'counter': 23, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1w', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, 0, -4, 4, 4, 0, 0, 0, 0, 0, 0, -4, 0, 4, -4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0], 'schur_index': 1}
-
id: 217940
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1x', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, 0, -4, 4, 4, 0, 0, 0, 0, 0, 0, -4, 0, 4, -4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0], 'schur_index': 1}
-
id: 217941
{'cdim': 1, 'counter': 25, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1y', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, 0, 4, -4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 4, -4, -4, 4, -4, -4, 0, -4, 0, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, -4, -4, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, -4, 4, 0, 0, 0, 0, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, -4, 0, 0], 'schur_index': 1}
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id: 217942
{'cdim': 1, 'counter': 26, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1z', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, 0, 4, -4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 4, -4, -4, 4, -4, -4, 0, 4, 0, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, -4, -4, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, -4, 4, 0, 0, 0, 0, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 4, 0, 0], 'schur_index': 1}
-
id: 217943
{'cdim': 1, 'counter': 27, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1aa', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -2, -2, -4, -4, -4, -4, -4, 4, -4, 4, -4, 4, -4, 4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 4, 4, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, 4, 0, 0, 0, -4, -4, 0, 4, 0, 0, 0, 0, 4, 4, -4, 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, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 0, -2, 0, -2, 0, 2, 2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, 2], 'schur_index': 1}
-
id: 217944
{'cdim': 1, 'counter': 28, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1ab', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -2, -2, -4, -4, -4, -4, -4, 4, -4, 4, -4, 4, -4, 4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, -4, 0, 0, 0, 4, 4, 0, -4, 0, 0, 0, 0, -4, -4, 4, 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, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, 0, 2, 0, 2, 0, -2, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 2, 0, 0, 0, 0, 2, 2, 0, -2, 0, 0, 0, 2, 2, 0, -2, 0, 0, 0, -2], 'schur_index': 1}
-
id: 217945
{'cdim': 1, 'counter': 29, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1ac', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -2, -2, -4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, -4, -2, -2, -2, -2, -2, -2, -4, 4, 0, 4, 4, 4, 0, 0, -4, -4, -4, -4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 0, -2, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 0, -2, -2, 2, 0], 'schur_index': 1}
-
id: 217947
{'cdim': 1, 'counter': 30, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1ad', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -2, -2, -4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, -4, -2, -2, -2, -2, -2, -2, 4, -4, 0, -4, -4, -4, 0, 0, 4, 4, 4, 4, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 0, 2, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, 0, 2, 2, -2, 0], 'schur_index': 1}
-
id: 217948
{'cdim': 1, 'counter': 31, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1ae', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -2, -2, 4, -4, -4, -4, 4, -4, 4, -4, 4, -4, -4, -4, -2, -2, -2, -2, -2, -2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, -4, 0, 0, -4, 0, 0, -4, -4, 0, 4, 0, 0, 0, 0, 4, 0, -4, -4, 0, 4, 0, 0, 0, -4, 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, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, -2, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217949
{'cdim': 1, 'counter': 32, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1af', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -2, -2, 4, -4, -4, -4, 4, -4, 4, -4, 4, -4, -4, -4, -2, -2, -2, -2, -2, -2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 4, 0, 0, 4, 0, 0, 4, 4, 0, -4, 0, 0, 0, 0, -4, 0, 4, 4, 0, -4, 0, 0, 0, 4, -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, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 2, 0, 2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217950
{'cdim': 1, 'counter': 33, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1ag', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -4, -4, 0, 0, 0, 0, 0, -8, 0, -8, 0, 8, 0, 8, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 4, 4, -4, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4], 'schur_index': 1}
-
id: 217951
{'cdim': 1, 'counter': 34, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1ah', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -4, -4, 0, 0, 0, 0, 0, -8, 0, -8, 0, 8, 0, 8, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 4, 4, -4, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4], 'schur_index': 1}
-
id: 217952
{'cdim': 1, 'counter': 35, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1ai', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -4, -4, 0, 0, 0, 0, 0, 8, 0, 8, 0, -8, 0, -8, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, -4, -4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217953
{'cdim': 1, 'counter': 36, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1aj', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -4, -4, 0, 0, 0, 0, 0, 8, 0, 8, 0, -8, 0, -8, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, -4, -4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217954
{'cdim': 1, 'counter': 37, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1ak', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -4, -4, -8, 0, 0, 0, 8, 0, 8, 0, -8, 0, 0, 0, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, -8, 8, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, -4, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217955
{'cdim': 1, 'counter': 38, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1al', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -4, -4, -8, 0, 0, 0, 8, 0, 8, 0, -8, 0, 0, 0, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 8, -8, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, -4, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217956
{'cdim': 1, 'counter': 39, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1am', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -4, -4, 8, 0, 0, 0, -8, 0, -8, 0, 8, 0, 0, 0, 4, 4, 4, 4, -4, -4, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 8, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 4, 0, 0, 0, -4, 4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 217958
{'cdim': 1, 'counter': 40, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1an', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -4, -4, 8, 0, 0, 0, -8, 0, -8, 0, 8, 0, 0, 0, 4, 4, 4, 4, -4, -4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, -8, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 4, 0, 0, 0, -4, 4, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 217959
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id: 217960
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id: 217961
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id: 217962
{'cdim': 1, 'counter': 44, 'faithful': False, 'group': '192.127', 'group_order': 192, 'image': None, 'label': '192.127.1ar', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -4, -4, 0, 8, -8, -8, 0, 0, 0, 0, 0, 0, 8, 0, -4, 4, 4, -4, 4, 4, 0, 8, 0, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 4, -4, 0, 0, 0, 0, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, -4, 0, 0], 'schur_index': 1}
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gps_char • Show schema
Hide schema
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id: 288049
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id: 288212
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id: 288213
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id: 288214
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id: 288215
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id: 288216
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id: 288217
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id: 288218
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id: 288220
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id: 288221
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id: 288222
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id: 288223
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id: 288224
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id: 288225
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id: 288226
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id: 288227
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id: 288228
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id: 288229
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id: 288231
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id: 288232
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id: 288233
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id: 288234
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id: 288235
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id: 288236
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id: 288237
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id: 288238
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id: 288239
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 98, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.i1', 'kernel_order': 8, 'label': '192.127.1ag2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 0]], [[1, 6]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 6]], [[1, 0]], [[-1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, 6]], [[-1, 6]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 9]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 9]], [[1, 6]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 10]], [[1, 8]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 4]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 4]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 5]], [[-1, 4]], [[-1, 10]], [[1, 11]], [[1, 8]], [[1, 7]], [[-1, 5]], [[1, 11]], [[1, 7]], [[1, 11]], [[-1, 10]], [[1, 4]], [[-1, 4]], [[1, 5]], [[-1, 2]], [[-1, 1]], [[1, 10]], [[1, 5]], [[-1, 4]], [[1, 8]], [[1, 7]], [[1, 1]], [[1, 8]], [[-1, 11]], [[1, 11]], [[-1, 2]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[1, 5]], [[-1, 5]], [[-1, 8]], [[1, 7]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 11]], [[-1, 7]], [[-1, 10]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[-1, 8]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 2]], [[1, 2]], [[-1, 11]], [[1, 11]], [[1, 4]], [[-1, 7]], [[-1, 11]], [[-1, 8]], [[-1, 7]], [[1, 10]], [[1, 5]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[1, 8]], [[1, 2]], [[1, 1]], [[-1, 5]], [[1, 4]], [[-1, 10]], [[-1, 5]], [[1, 1]], [[-1, 7]], [[-1, 11]], [[1, 2]], [[1, 10]], [[-1, 1]], [[1, 4]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 2]], [[1, 10]], [[1, 1]], [[-1, 4]], [[1, 7]], [[-1, 11]], [[1, 7]], [[-1, 8]]]}
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id: 288240
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id: 288051
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 100, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.i1', 'kernel_order': 8, 'label': '192.127.1ag4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 6]], [[1, 0]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 9]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 6]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 10]], [[1, 8]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 4]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 4]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[-1, 4]], [[-1, 10]], [[-1, 11]], [[1, 8]], [[-1, 7]], [[1, 5]], [[-1, 11]], [[-1, 7]], [[-1, 11]], [[-1, 10]], [[1, 4]], [[-1, 4]], [[-1, 5]], [[-1, 2]], [[1, 1]], [[1, 10]], [[-1, 5]], [[-1, 4]], [[1, 8]], [[-1, 7]], [[-1, 1]], [[1, 8]], [[1, 11]], [[-1, 11]], [[-1, 2]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[-1, 8]], [[-1, 7]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[-1, 10]], [[1, 1]], [[-1, 11]], [[1, 5]], [[1, 1]], [[1, 11]], [[1, 7]], [[1, 1]], [[-1, 8]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 2]], [[1, 2]], [[1, 11]], [[-1, 11]], [[1, 4]], [[1, 7]], [[1, 11]], [[-1, 8]], [[1, 7]], [[1, 10]], [[-1, 5]], [[1, 7]], [[1, 5]], [[-1, 5]], [[1, 8]], [[1, 2]], [[-1, 1]], [[1, 5]], [[1, 4]], [[-1, 10]], [[1, 5]], [[-1, 1]], [[1, 7]], [[1, 11]], [[1, 2]], [[1, 10]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 2]], [[1, 10]], [[-1, 1]], [[-1, 4]], [[-1, 7]], [[1, 11]], [[-1, 7]], [[-1, 8]]]}
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id: 288052
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id: 288053
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id: 288054
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 103, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.i1', 'kernel_order': 8, 'label': '192.127.1ag7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 6]], [[1, 0]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 9]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 6]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 8]], [[1, 10]], [[-1, 10]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 8]], [[-1, 7]], [[-1, 11]], [[1, 1]], [[1, 11]], [[-1, 5]], [[1, 1]], [[1, 8]], [[-1, 2]], [[1, 7]], [[-1, 4]], [[1, 11]], [[-1, 1]], [[1, 7]], [[1, 11]], [[1, 7]], [[-1, 2]], [[-1, 8]], [[1, 8]], [[1, 1]], [[-1, 10]], [[-1, 5]], [[1, 2]], [[1, 1]], [[1, 8]], [[-1, 4]], [[1, 11]], [[1, 5]], [[-1, 4]], [[-1, 7]], [[1, 7]], [[-1, 10]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[1, 7]], [[1, 1]], [[-1, 1]], [[1, 4]], [[1, 11]], [[-1, 5]], [[-1, 10]], [[1, 5]], [[1, 7]], [[-1, 11]], [[-1, 2]], [[-1, 5]], [[1, 7]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[1, 4]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 10]], [[1, 10]], [[-1, 7]], [[1, 7]], [[-1, 8]], [[-1, 11]], [[-1, 7]], [[1, 4]], [[-1, 11]], [[1, 2]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[1, 10]], [[1, 5]], [[-1, 1]], [[-1, 8]], [[-1, 2]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[-1, 7]], [[1, 10]], [[1, 2]], [[-1, 5]], [[-1, 8]], [[1, 5]], [[1, 11]], [[1, 1]], [[1, 10]], [[1, 2]], [[1, 5]], [[1, 8]], [[1, 11]], [[-1, 7]], [[1, 11]], [[1, 4]]]}
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id: 288055
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 104, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.i1', 'kernel_order': 8, 'label': '192.127.1ag8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 0]], [[-1, 6]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 6]], [[1, 0]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 6]], [[1, 6]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 3]], [[1, 6]], [[-1, 3]], [[1, 3]], [[1, 9]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 6]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 6]], [[1, 6]], [[1, 0]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 10]], [[1, 8]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 4]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[-1, 4]], [[1, 10]], [[-1, 5]], [[1, 8]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 10]], [[1, 4]], [[-1, 4]], [[-1, 11]], [[1, 2]], [[1, 7]], [[-1, 10]], [[-1, 11]], [[-1, 4]], [[1, 8]], [[-1, 1]], [[-1, 7]], [[1, 8]], [[1, 5]], [[-1, 5]], [[1, 2]], [[-1, 7]], [[1, 11]], [[1, 7]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[-1, 8]], [[-1, 1]], [[1, 7]], [[1, 2]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[1, 10]], [[1, 7]], [[-1, 5]], [[1, 11]], [[1, 7]], [[1, 5]], [[1, 1]], [[1, 7]], [[-1, 8]], [[-1, 7]], [[1, 5]], [[1, 11]], [[1, 2]], [[-1, 2]], [[1, 5]], [[-1, 5]], [[1, 4]], [[1, 1]], [[1, 5]], [[-1, 8]], [[1, 1]], [[-1, 10]], [[-1, 11]], [[1, 1]], [[1, 11]], [[-1, 11]], [[1, 8]], [[-1, 2]], [[-1, 7]], [[1, 11]], [[1, 4]], [[1, 10]], [[1, 11]], [[-1, 7]], [[1, 1]], [[1, 5]], [[-1, 2]], [[-1, 10]], [[1, 7]], [[1, 4]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 2]], [[-1, 10]], [[-1, 7]], [[-1, 4]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 8]]]}
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id: 288056
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 105, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.j1', 'kernel_order': 8, 'label': '192.127.1ah1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 0]], [[1, 6]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 6]], [[-1, 0]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 6]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[-1, 0]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 8]], [[-1, 10]], [[1, 10]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 10]], [[1, 8]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 8]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 8]], [[-1, 1]], [[1, 5]], [[1, 7]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[-1, 8]], [[-1, 2]], [[1, 1]], [[1, 4]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 2]], [[1, 8]], [[-1, 8]], [[1, 7]], [[-1, 10]], [[-1, 11]], [[1, 2]], [[-1, 7]], [[-1, 8]], [[1, 4]], [[1, 5]], [[1, 11]], [[1, 4]], [[1, 1]], [[1, 1]], [[-1, 10]], [[-1, 11]], [[1, 7]], [[1, 11]], [[1, 5]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 4]], [[1, 5]], [[-1, 11]], [[-1, 10]], [[1, 11]], [[-1, 1]], [[1, 5]], [[-1, 2]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 4]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 10]], [[1, 10]], [[1, 1]], [[-1, 1]], [[1, 8]], [[1, 5]], [[1, 1]], [[-1, 4]], [[-1, 5]], [[1, 2]], [[1, 7]], [[-1, 5]], [[1, 7]], [[-1, 7]], [[1, 4]], [[1, 10]], [[-1, 11]], [[-1, 7]], [[1, 8]], [[-1, 2]], [[1, 7]], [[1, 11]], [[-1, 5]], [[-1, 1]], [[1, 10]], [[1, 2]], [[1, 11]], [[1, 8]], [[1, 11]], [[-1, 5]], [[1, 7]], [[1, 10]], [[1, 2]], [[-1, 11]], [[-1, 8]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 4]]]}
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id: 288057
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 106, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.j1', 'kernel_order': 8, 'label': '192.127.1ah2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 0]], [[-1, 6]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 6]], [[-1, 0]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 0]], [[-1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 9]], [[1, 6]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[-1, 6]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 10]], [[1, 8]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 4]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 4]], [[1, 11]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[-1, 1]], [[1, 5]], [[1, 4]], [[1, 10]], [[-1, 11]], [[-1, 8]], [[-1, 7]], [[1, 5]], [[1, 11]], [[-1, 7]], [[-1, 11]], [[1, 10]], [[-1, 4]], [[1, 4]], [[-1, 5]], [[1, 2]], [[1, 1]], [[-1, 10]], [[1, 5]], [[1, 4]], [[-1, 8]], [[-1, 7]], [[-1, 1]], [[-1, 8]], [[-1, 11]], [[-1, 11]], [[1, 2]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[1, 5]], [[1, 8]], [[-1, 7]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, 11]], [[-1, 7]], [[1, 10]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 1]], [[1, 11]], [[1, 7]], [[1, 1]], [[1, 8]], [[1, 1]], [[1, 11]], [[-1, 5]], [[1, 2]], [[-1, 2]], [[-1, 11]], [[1, 11]], [[-1, 4]], [[-1, 7]], [[-1, 11]], [[1, 8]], [[1, 7]], [[-1, 10]], [[-1, 5]], [[1, 7]], [[-1, 5]], [[1, 5]], [[-1, 8]], [[-1, 2]], [[1, 1]], [[1, 5]], [[-1, 4]], [[1, 10]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[1, 11]], [[-1, 2]], [[-1, 10]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[-1, 2]], [[-1, 10]], [[1, 1]], [[1, 4]], [[1, 7]], [[-1, 11]], [[1, 7]], [[1, 8]]]}
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id: 288058
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id: 288059
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 108, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.j1', 'kernel_order': 8, 'label': '192.127.1ah4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 0]], [[-1, 6]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[1, 6]], [[-1, 0]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 0]], [[1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 9]], [[1, 6]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 6]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 10]], [[1, 8]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 4]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 4]], [[-1, 11]], [[1, 7]], [[1, 5]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[1, 4]], [[1, 10]], [[1, 11]], [[-1, 8]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 7]], [[1, 11]], [[1, 10]], [[-1, 4]], [[1, 4]], [[1, 5]], [[1, 2]], [[-1, 1]], [[-1, 10]], [[-1, 5]], [[1, 4]], [[-1, 8]], [[1, 7]], [[1, 1]], [[-1, 8]], [[1, 11]], [[1, 11]], [[1, 2]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 7]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[1, 8]], [[1, 7]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 11]], [[1, 7]], [[1, 10]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[1, 8]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[1, 2]], [[-1, 2]], [[1, 11]], [[-1, 11]], [[-1, 4]], [[1, 7]], [[1, 11]], [[1, 8]], [[-1, 7]], [[-1, 10]], [[1, 5]], [[-1, 7]], [[1, 5]], [[-1, 5]], [[-1, 8]], [[-1, 2]], [[-1, 1]], [[-1, 5]], [[-1, 4]], [[1, 10]], [[1, 5]], [[1, 1]], [[-1, 7]], [[-1, 11]], [[-1, 2]], [[-1, 10]], [[1, 1]], [[-1, 4]], [[1, 1]], [[-1, 7]], [[1, 5]], [[-1, 2]], [[-1, 10]], [[-1, 1]], [[1, 4]], [[-1, 7]], [[1, 11]], [[-1, 7]], [[1, 8]]]}
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id: 288060
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 109, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.j1', 'kernel_order': 8, 'label': '192.127.1ah5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 0]], [[-1, 6]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 6]], [[-1, 0]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 0]], [[-1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 9]], [[1, 6]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[-1, 6]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 8]], [[1, 10]], [[-1, 10]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 8]], [[-1, 7]], [[1, 11]], [[1, 1]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[-1, 8]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[1, 7]], [[1, 2]], [[1, 8]], [[-1, 8]], [[1, 1]], [[1, 10]], [[-1, 5]], [[-1, 2]], [[-1, 1]], [[-1, 8]], [[1, 4]], [[1, 11]], [[1, 5]], [[1, 4]], [[1, 7]], [[1, 7]], [[1, 10]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 11]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[1, 11]], [[-1, 5]], [[1, 10]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 2]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 4]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[1, 10]], [[-1, 10]], [[1, 7]], [[-1, 7]], [[1, 8]], [[1, 11]], [[1, 7]], [[-1, 4]], [[-1, 11]], [[-1, 2]], [[1, 1]], [[-1, 11]], [[1, 1]], [[-1, 1]], [[1, 4]], [[-1, 10]], [[-1, 5]], [[-1, 1]], [[1, 8]], [[1, 2]], [[1, 1]], [[1, 5]], [[-1, 11]], [[-1, 7]], [[-1, 10]], [[-1, 2]], [[1, 5]], [[1, 8]], [[1, 5]], [[-1, 11]], [[1, 1]], [[-1, 10]], [[-1, 2]], [[-1, 5]], [[-1, 8]], [[-1, 11]], [[1, 7]], [[-1, 11]], [[-1, 4]]]}
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id: 288062
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 110, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.j1', 'kernel_order': 8, 'label': '192.127.1ah6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 0]], [[1, 6]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 6]], [[-1, 0]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 6]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[-1, 0]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 10]], [[1, 8]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 4]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[-1, 7]], [[1, 11]], [[1, 4]], [[-1, 10]], [[-1, 5]], [[-1, 8]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 10]], [[-1, 4]], [[1, 4]], [[-1, 11]], [[-1, 2]], [[1, 7]], [[1, 10]], [[1, 11]], [[1, 4]], [[-1, 8]], [[-1, 1]], [[-1, 7]], [[-1, 8]], [[-1, 5]], [[-1, 5]], [[-1, 2]], [[1, 7]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[1, 11]], [[1, 8]], [[-1, 1]], [[1, 7]], [[-1, 2]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[-1, 10]], [[-1, 7]], [[1, 5]], [[1, 11]], [[1, 7]], [[1, 5]], [[1, 1]], [[1, 7]], [[1, 8]], [[1, 7]], [[1, 5]], [[-1, 11]], [[-1, 2]], [[1, 2]], [[-1, 5]], [[1, 5]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[1, 8]], [[1, 1]], [[1, 10]], [[-1, 11]], [[1, 1]], [[-1, 11]], [[1, 11]], [[-1, 8]], [[1, 2]], [[1, 7]], [[1, 11]], [[-1, 4]], [[-1, 10]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[1, 5]], [[1, 2]], [[1, 10]], [[-1, 7]], [[-1, 4]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[1, 2]], [[1, 10]], [[1, 7]], [[1, 4]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 8]]]}
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id: 288063
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 111, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.j1', 'kernel_order': 8, 'label': '192.127.1ah7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 0]], [[-1, 6]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[1, 6]], [[-1, 0]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 0]], [[1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 9]], [[1, 6]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[-1, 6]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 8]], [[1, 10]], [[-1, 10]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 8]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[1, 1]], [[-1, 8]], [[1, 2]], [[-1, 7]], [[1, 4]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 11]], [[-1, 7]], [[1, 2]], [[1, 8]], [[-1, 8]], [[-1, 1]], [[1, 10]], [[1, 5]], [[-1, 2]], [[1, 1]], [[-1, 8]], [[1, 4]], [[-1, 11]], [[-1, 5]], [[1, 4]], [[-1, 7]], [[-1, 7]], [[1, 10]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[1, 1]], [[-1, 4]], [[-1, 11]], [[1, 5]], [[1, 10]], [[-1, 5]], [[1, 7]], [[-1, 11]], [[1, 2]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 5]], [[1, 7]], [[1, 11]], [[1, 5]], [[-1, 4]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 10]], [[-1, 10]], [[-1, 7]], [[1, 7]], [[1, 8]], [[-1, 11]], [[-1, 7]], [[-1, 4]], [[1, 11]], [[-1, 2]], [[-1, 1]], [[1, 11]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, 10]], [[1, 5]], [[1, 1]], [[1, 8]], [[1, 2]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[1, 7]], [[-1, 10]], [[-1, 2]], [[-1, 5]], [[1, 8]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[-1, 10]], [[-1, 2]], [[1, 5]], [[-1, 8]], [[1, 11]], [[-1, 7]], [[1, 11]], [[-1, 4]]]}
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id: 288064
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 112, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.j1', 'kernel_order': 8, 'label': '192.127.1ah8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 0]], [[1, 6]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[-1, 0]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 9]], [[1, 3]], [[-1, 6]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 6]], [[-1, 3]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 0]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 10]], [[1, 8]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 4]], [[-1, 5]], [[1, 1]], [[1, 11]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[1, 4]], [[-1, 10]], [[1, 5]], [[-1, 8]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 10]], [[-1, 4]], [[1, 4]], [[1, 11]], [[-1, 2]], [[-1, 7]], [[1, 10]], [[-1, 11]], [[1, 4]], [[-1, 8]], [[1, 1]], [[1, 7]], [[-1, 8]], [[1, 5]], [[1, 5]], [[-1, 2]], [[-1, 7]], [[1, 11]], [[1, 7]], [[1, 1]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[1, 8]], [[1, 1]], [[-1, 7]], [[-1, 2]], [[1, 7]], [[-1, 5]], [[1, 1]], [[-1, 10]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[1, 8]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[-1, 2]], [[1, 2]], [[1, 5]], [[-1, 5]], [[-1, 4]], [[1, 1]], [[1, 5]], [[1, 8]], [[-1, 1]], [[1, 10]], [[1, 11]], [[-1, 1]], [[1, 11]], [[-1, 11]], [[-1, 8]], [[1, 2]], [[-1, 7]], [[-1, 11]], [[-1, 4]], [[-1, 10]], [[1, 11]], [[1, 7]], [[-1, 1]], [[-1, 5]], [[1, 2]], [[1, 10]], [[1, 7]], [[-1, 4]], [[1, 7]], [[-1, 1]], [[1, 11]], [[1, 2]], [[1, 10]], [[-1, 7]], [[1, 4]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 8]]]}
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id: 288065
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id: 288066
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id: 288067
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 115, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.l1', 'kernel_order': 8, 'label': '192.127.1ai3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 6]], [[-1, 0]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[1, 0]], [[1, 6]], [[-1, 3]], [[1, 9]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 6]], [[1, 9]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[-1, 9]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 6]], [[1, 6]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 10]], [[-1, 10]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 10]], [[-1, 8]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 8]], [[1, 1]], [[1, 11]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[1, 1]], [[-1, 2]], [[-1, 8]], [[1, 1]], [[-1, 10]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[1, 8]], [[-1, 2]], [[-1, 2]], [[-1, 7]], [[-1, 4]], [[-1, 11]], [[-1, 8]], [[-1, 1]], [[1, 2]], [[1, 10]], [[1, 5]], [[-1, 11]], [[-1, 10]], [[-1, 7]], [[1, 1]], [[1, 4]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[-1, 10]], [[-1, 5]], [[-1, 11]], [[-1, 4]], [[-1, 11]], [[1, 7]], [[1, 11]], [[1, 8]], [[1, 5]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[1, 10]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, 4]], [[1, 7]], [[-1, 7]], [[1, 2]], [[-1, 11]], [[-1, 7]], [[-1, 10]], [[-1, 5]], [[1, 8]], [[1, 7]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 10]], [[-1, 4]], [[1, 5]], [[1, 7]], [[1, 2]], [[-1, 8]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 1]], [[1, 4]], [[1, 8]], [[-1, 5]], [[-1, 2]], [[1, 11]], [[1, 11]], [[1, 7]], [[1, 4]], [[-1, 8]], [[-1, 5]], [[1, 2]], [[-1, 11]], [[1, 7]], [[1, 11]], [[1, 10]]]}
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id: 288068
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 116, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.l1', 'kernel_order': 8, 'label': '192.127.1ai4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 6]], [[-1, 0]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 0]], [[-1, 6]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 6]], [[-1, 3]], [[1, 9]], [[1, 6]], [[-1, 6]], [[1, 3]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[-1, 9]], [[1, 0]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 10]], [[-1, 8]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 2]], [[1, 4]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 7]], [[-1, 11]], [[1, 10]], [[1, 4]], [[-1, 11]], [[1, 2]], [[1, 7]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 11]], [[-1, 4]], [[1, 10]], [[1, 10]], [[1, 5]], [[1, 8]], [[1, 1]], [[1, 4]], [[1, 11]], [[-1, 10]], [[-1, 2]], [[-1, 7]], [[1, 1]], [[1, 2]], [[1, 5]], [[-1, 11]], [[-1, 8]], [[1, 7]], [[-1, 11]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 11]], [[1, 5]], [[1, 2]], [[1, 7]], [[1, 1]], [[1, 8]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 4]], [[-1, 7]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 7]], [[-1, 1]], [[-1, 2]], [[-1, 7]], [[-1, 11]], [[-1, 11]], [[-1, 8]], [[1, 8]], [[-1, 5]], [[1, 5]], [[-1, 10]], [[1, 1]], [[1, 5]], [[1, 2]], [[1, 7]], [[-1, 4]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[1, 11]], [[-1, 2]], [[1, 8]], [[-1, 7]], [[-1, 5]], [[-1, 10]], [[1, 4]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[-1, 8]], [[-1, 4]], [[1, 7]], [[1, 10]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 8]], [[1, 4]], [[1, 7]], [[-1, 10]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 2]]]}
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id: 288069
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 117, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.l1', 'kernel_order': 8, 'label': '192.127.1ai5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 6]], [[-1, 0]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[1, 0]], [[-1, 6]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 6]], [[1, 3]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[-1, 3]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 6]], [[-1, 6]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 6]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 8]], [[-1, 10]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 10]], [[-1, 8]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 8]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 8]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 11]], [[-1, 7]], [[1, 2]], [[-1, 8]], [[-1, 7]], [[1, 10]], [[1, 11]], [[1, 1]], [[1, 1]], [[-1, 11]], [[1, 7]], [[1, 8]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 4]], [[1, 5]], [[-1, 8]], [[1, 7]], [[-1, 2]], [[-1, 10]], [[-1, 11]], [[1, 5]], [[1, 10]], [[1, 1]], [[-1, 7]], [[1, 4]], [[1, 11]], [[-1, 7]], [[1, 11]], [[1, 5]], [[1, 7]], [[-1, 7]], [[1, 1]], [[1, 10]], [[1, 11]], [[1, 5]], [[-1, 4]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 8]], [[-1, 11]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[1, 11]], [[-1, 5]], [[-1, 10]], [[-1, 11]], [[-1, 7]], [[-1, 7]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, 5]], [[1, 1]], [[1, 10]], [[1, 11]], [[1, 8]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[1, 7]], [[-1, 10]], [[-1, 4]], [[-1, 11]], [[-1, 1]], [[-1, 2]], [[-1, 8]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 7]], [[1, 4]], [[1, 8]], [[1, 11]], [[1, 2]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[-1, 8]], [[1, 11]], [[-1, 2]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 10]]]}
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id: 288070
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 118, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.l1', 'kernel_order': 8, 'label': '192.127.1ai6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 6]], [[-1, 0]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 0]], [[1, 6]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 3]], [[1, 9]], [[1, 6]], [[-1, 9]], [[1, 3]], [[-1, 6]], [[1, 6]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 0]], [[1, 0]], [[-1, 6]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 10]], [[-1, 8]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 2]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 4]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 4]], [[1, 5]], [[1, 7]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[1, 5]], [[-1, 10]], [[1, 4]], [[1, 5]], [[-1, 2]], [[-1, 1]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[-1, 4]], [[-1, 10]], [[-1, 10]], [[-1, 11]], [[1, 8]], [[-1, 7]], [[1, 4]], [[-1, 5]], [[1, 10]], [[1, 2]], [[1, 1]], [[-1, 7]], [[-1, 2]], [[-1, 11]], [[1, 5]], [[-1, 8]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[-1, 11]], [[-1, 2]], [[-1, 1]], [[-1, 7]], [[1, 8]], [[-1, 7]], [[1, 11]], [[1, 7]], [[-1, 4]], [[1, 1]], [[1, 11]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 8]], [[1, 8]], [[1, 11]], [[-1, 11]], [[1, 10]], [[-1, 7]], [[-1, 11]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[1, 11]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 2]], [[1, 8]], [[1, 1]], [[1, 11]], [[1, 10]], [[1, 4]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 5]], [[-1, 8]], [[-1, 4]], [[-1, 1]], [[-1, 10]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 8]], [[1, 4]], [[-1, 1]], [[1, 10]], [[-1, 7]], [[1, 11]], [[1, 7]], [[1, 2]]]}
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id: 288071
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id: 288073
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id: 288074
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 121, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.k1', 'kernel_order': 8, 'label': '192.127.1aj1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 6]], [[1, 0]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 6]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 0]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[-1, 9]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[-1, 9]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 10]], [[-1, 10]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 10]], [[-1, 8]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 8]], [[1, 1]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[-1, 5]], [[-1, 1]], [[1, 2]], [[1, 8]], [[1, 1]], [[1, 10]], [[-1, 5]], [[-1, 7]], [[1, 7]], [[1, 5]], [[-1, 1]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 7]], [[1, 4]], [[-1, 11]], [[1, 8]], [[1, 1]], [[-1, 2]], [[-1, 10]], [[1, 5]], [[-1, 11]], [[1, 10]], [[1, 7]], [[1, 1]], [[-1, 4]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[1, 10]], [[-1, 5]], [[-1, 11]], [[1, 4]], [[-1, 11]], [[-1, 7]], [[-1, 11]], [[-1, 8]], [[-1, 5]], [[-1, 7]], [[1, 7]], [[1, 11]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[-1, 10]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, 4]], [[-1, 7]], [[1, 7]], [[-1, 2]], [[1, 11]], [[1, 7]], [[1, 10]], [[-1, 5]], [[-1, 8]], [[1, 7]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 10]], [[1, 4]], [[-1, 5]], [[1, 7]], [[-1, 2]], [[1, 8]], [[1, 1]], [[1, 11]], [[1, 5]], [[-1, 1]], [[-1, 4]], [[-1, 8]], [[1, 5]], [[1, 2]], [[1, 11]], [[-1, 11]], [[1, 7]], [[-1, 4]], [[1, 8]], [[1, 5]], [[-1, 2]], [[1, 11]], [[-1, 7]], [[-1, 11]], [[-1, 10]]]}
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id: 288075
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 122, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.k1', 'kernel_order': 8, 'label': '192.127.1aj2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 6]], [[1, 0]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 0]], [[1, 6]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, 9]], [[-1, 6]], [[1, 6]], [[1, 3]], [[-1, 9]], [[1, 0]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 6]], [[1, 6]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 10]], [[-1, 8]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 2]], [[1, 4]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[-1, 11]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 7]], [[1, 11]], [[-1, 10]], [[-1, 4]], [[-1, 11]], [[-1, 2]], [[1, 7]], [[1, 5]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[1, 4]], [[-1, 10]], [[-1, 10]], [[1, 5]], [[-1, 8]], [[1, 1]], [[-1, 4]], [[-1, 11]], [[1, 10]], [[1, 2]], [[-1, 7]], [[1, 1]], [[-1, 2]], [[-1, 5]], [[-1, 11]], [[1, 8]], [[-1, 7]], [[1, 11]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 11]], [[1, 5]], [[-1, 2]], [[1, 7]], [[1, 1]], [[-1, 8]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 7]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 2]], [[1, 7]], [[-1, 11]], [[1, 11]], [[1, 8]], [[-1, 8]], [[1, 5]], [[-1, 5]], [[1, 10]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[1, 7]], [[1, 4]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[-1, 11]], [[1, 2]], [[-1, 8]], [[1, 7]], [[-1, 5]], [[1, 10]], [[-1, 4]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[1, 8]], [[1, 4]], [[-1, 7]], [[-1, 10]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 8]], [[-1, 4]], [[-1, 7]], [[1, 10]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 2]]]}
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id: 288076
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 123, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.k1', 'kernel_order': 8, 'label': '192.127.1aj3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 6]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 0]], [[-1, 6]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 6]], [[1, 9]], [[1, 3]], [[1, 6]], [[-1, 6]], [[1, 9]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 6]], [[-1, 6]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 10]], [[-1, 10]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 10]], [[-1, 8]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 8]], [[-1, 1]], [[1, 11]], [[1, 7]], [[-1, 11]], [[1, 5]], [[1, 1]], [[1, 2]], [[1, 8]], [[-1, 1]], [[1, 10]], [[1, 5]], [[1, 7]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[-1, 8]], [[1, 2]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, 11]], [[1, 8]], [[-1, 1]], [[-1, 2]], [[-1, 10]], [[-1, 5]], [[1, 11]], [[1, 10]], [[-1, 7]], [[-1, 1]], [[-1, 4]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 10]], [[1, 5]], [[1, 11]], [[1, 4]], [[1, 11]], [[1, 7]], [[1, 11]], [[-1, 8]], [[1, 5]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[1, 1]], [[1, 5]], [[-1, 11]], [[-1, 10]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[1, 4]], [[1, 7]], [[-1, 7]], [[-1, 2]], [[-1, 11]], [[-1, 7]], [[1, 10]], [[1, 5]], [[-1, 8]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 10]], [[1, 4]], [[1, 5]], [[-1, 7]], [[-1, 2]], [[1, 8]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[1, 1]], [[-1, 4]], [[-1, 8]], [[-1, 5]], [[1, 2]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[-1, 4]], [[1, 8]], [[-1, 5]], [[-1, 2]], [[-1, 11]], [[1, 7]], [[1, 11]], [[-1, 10]]]}
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id: 288077
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 124, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.k1', 'kernel_order': 8, 'label': '192.127.1aj4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 6]], [[1, 0]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 0]], [[1, 6]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[1, 6]], [[-1, 3]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 6]], [[1, 6]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 10]], [[-1, 8]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 2]], [[1, 4]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[1, 11]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 7]], [[-1, 11]], [[-1, 10]], [[-1, 4]], [[1, 11]], [[-1, 2]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[1, 7]], [[-1, 11]], [[1, 4]], [[-1, 10]], [[-1, 10]], [[-1, 5]], [[-1, 8]], [[-1, 1]], [[-1, 4]], [[1, 11]], [[1, 10]], [[1, 2]], [[1, 7]], [[-1, 1]], [[-1, 2]], [[1, 5]], [[1, 11]], [[1, 8]], [[1, 7]], [[-1, 11]], [[1, 7]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 2]], [[-1, 7]], [[-1, 1]], [[-1, 8]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[1, 2]], [[-1, 7]], [[1, 11]], [[-1, 11]], [[1, 8]], [[-1, 8]], [[-1, 5]], [[1, 5]], [[1, 10]], [[1, 1]], [[1, 5]], [[-1, 2]], [[-1, 7]], [[1, 4]], [[1, 5]], [[1, 7]], [[1, 11]], [[1, 11]], [[1, 2]], [[-1, 8]], [[-1, 7]], [[1, 5]], [[1, 10]], [[-1, 4]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 11]], [[1, 8]], [[1, 4]], [[1, 7]], [[-1, 10]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 8]], [[-1, 4]], [[1, 7]], [[1, 10]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 2]]]}
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id: 288078
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id: 288079
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id: 288080
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 127, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.k1', 'kernel_order': 8, 'label': '192.127.1aj7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 6]], [[1, 0]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 0]], [[1, 6]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[1, 6]], [[-1, 3]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 6]], [[1, 6]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 8]], [[-1, 10]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 10]], [[-1, 8]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 8]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 8]], [[-1, 7]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 11]], [[1, 7]], [[-1, 2]], [[1, 8]], [[-1, 7]], [[-1, 10]], [[1, 11]], [[1, 1]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[-1, 8]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 4]], [[1, 5]], [[1, 8]], [[-1, 7]], [[1, 2]], [[1, 10]], [[-1, 11]], [[1, 5]], [[-1, 10]], [[-1, 1]], [[-1, 7]], [[-1, 4]], [[-1, 11]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[1, 7]], [[1, 1]], [[-1, 10]], [[1, 11]], [[1, 5]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 8]], [[1, 11]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[1, 11]], [[-1, 5]], [[1, 10]], [[1, 11]], [[-1, 7]], [[1, 7]], [[-1, 4]], [[1, 4]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 5]], [[-1, 1]], [[-1, 10]], [[1, 11]], [[-1, 8]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[-1, 7]], [[1, 10]], [[1, 4]], [[1, 11]], [[-1, 1]], [[1, 2]], [[1, 8]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[1, 7]], [[-1, 4]], [[-1, 8]], [[-1, 11]], [[-1, 2]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 4]], [[1, 8]], [[-1, 11]], [[1, 2]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 10]]]}
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id: 288081
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 128, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.k1', 'kernel_order': 8, 'label': '192.127.1aj8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 6]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 0]], [[-1, 6]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 0]], [[1, 0]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 6]], [[1, 9]], [[1, 3]], [[1, 6]], [[-1, 6]], [[1, 9]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 6]], [[-1, 6]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 10]], [[-1, 8]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 2]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 4]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 4]], [[1, 5]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[-1, 1]], [[-1, 5]], [[1, 10]], [[-1, 4]], [[1, 5]], [[1, 2]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[1, 1]], [[-1, 5]], [[1, 4]], [[1, 10]], [[1, 10]], [[-1, 11]], [[-1, 8]], [[-1, 7]], [[-1, 4]], [[1, 5]], [[-1, 10]], [[-1, 2]], [[1, 1]], [[-1, 7]], [[1, 2]], [[1, 11]], [[1, 5]], [[1, 8]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[-1, 11]], [[1, 2]], [[-1, 1]], [[-1, 7]], [[-1, 8]], [[-1, 7]], [[-1, 11]], [[-1, 7]], [[1, 4]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[-1, 2]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 8]], [[-1, 8]], [[-1, 11]], [[1, 11]], [[-1, 10]], [[1, 7]], [[1, 11]], [[1, 2]], [[-1, 1]], [[1, 4]], [[1, 11]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 2]], [[-1, 8]], [[-1, 1]], [[1, 11]], [[-1, 10]], [[-1, 4]], [[1, 5]], [[1, 7]], [[1, 1]], [[-1, 5]], [[1, 8]], [[1, 4]], [[1, 1]], [[1, 10]], [[1, 7]], [[-1, 7]], [[1, 11]], [[1, 8]], [[-1, 4]], [[1, 1]], [[-1, 10]], [[1, 7]], [[-1, 11]], [[-1, 7]], [[-1, 2]]]}
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id: 288082
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 129, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.h1', 'kernel_order': 8, 'label': '192.127.1ak1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[1, 6]], [[-1, 0]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 9]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 6]], [[1, 9]], [[1, 9]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[1, 6]], [[1, 3]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 6]], [[-1, 0]], [[1, 0]], [[1, 8]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 8]], [[-1, 4]], [[-1, 2]], [[-1, 10]], [[-1, 5]], [[-1, 10]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 4]], [[-1, 7]], [[1, 2]], [[-1, 4]], [[1, 1]], [[1, 8]], [[1, 10]], [[1, 11]], [[1, 5]], [[1, 11]], [[1, 10]], [[1, 7]], [[-1, 8]], [[1, 11]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[-1, 8]], [[1, 2]], [[1, 7]], [[1, 7]], [[-1, 4]], [[1, 1]], [[1, 11]], [[-1, 7]], [[1, 5]], [[1, 11]], [[-1, 10]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[-1, 2]], [[1, 8]], [[-1, 7]], [[-1, 2]], [[-1, 7]], [[1, 5]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 8]], [[1, 2]], [[-1, 7]], [[-1, 5]], [[1, 10]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[-1, 8]], [[-1, 5]], [[-1, 4]], [[1, 2]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 10]], [[1, 11]], [[1, 5]], [[-1, 1]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[1, 7]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 8]], [[1, 11]], [[1, 4]], [[-1, 7]], [[-1, 11]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[1, 7]]]}
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id: 288084
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 130, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.h1', 'kernel_order': 8, 'label': '192.127.1ak2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 9]], [[1, 3]], [[1, 6]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[1, 3]], [[1, 9]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 6]], [[1, 9]], [[1, 3]], [[1, 6]], [[-1, 6]], [[-1, 9]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 9]], [[1, 0]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 6]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[-1, 10]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 8]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 10]], [[1, 2]], [[1, 7]], [[1, 2]], [[1, 7]], [[1, 1]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 8]], [[1, 5]], [[-1, 10]], [[1, 8]], [[-1, 11]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 2]], [[-1, 5]], [[1, 4]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 4]], [[-1, 10]], [[-1, 5]], [[-1, 5]], [[1, 8]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 2]], [[1, 11]], [[-1, 8]], [[1, 11]], [[1, 10]], [[-1, 4]], [[1, 5]], [[1, 10]], [[1, 5]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 2]], [[1, 10]], [[-1, 8]], [[-1, 4]], [[-1, 10]], [[1, 5]], [[1, 7]], [[-1, 2]], [[-1, 5]], [[1, 11]], [[1, 11]], [[-1, 11]], [[1, 11]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 11]], [[1, 4]], [[1, 7]], [[1, 8]], [[-1, 10]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[-1, 2]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[-1, 4]], [[1, 10]], [[1, 8]], [[-1, 5]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 4]], [[-1, 1]], [[-1, 8]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 11]], [[1, 1]], [[-1, 5]]]}
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id: 288085
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id: 288086
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id: 288087
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 133, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.h1', 'kernel_order': 8, 'label': '192.127.1ak5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 9]], [[1, 3]], [[1, 6]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[1, 3]], [[1, 9]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 6]], [[1, 9]], [[1, 3]], [[1, 6]], [[-1, 6]], [[-1, 9]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 9]], [[1, 0]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 6]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 8]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 10]], [[1, 8]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[1, 10]], [[-1, 11]], [[1, 10]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 4]], [[-1, 1]], [[-1, 2]], [[-1, 4]], [[1, 7]], [[1, 8]], [[-1, 10]], [[1, 5]], [[1, 11]], [[1, 5]], [[-1, 10]], [[1, 1]], [[-1, 8]], [[1, 5]], [[-1, 1]], [[1, 11]], [[-1, 7]], [[-1, 8]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 4]], [[1, 7]], [[1, 5]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 10]], [[-1, 7]], [[1, 4]], [[-1, 7]], [[1, 2]], [[1, 8]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 10]], [[1, 2]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 1]], [[-1, 11]], [[-1, 10]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[-1, 8]], [[-1, 11]], [[-1, 4]], [[-1, 2]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 10]], [[1, 5]], [[1, 11]], [[-1, 7]], [[1, 8]], [[1, 2]], [[-1, 4]], [[1, 1]], [[1, 11]], [[-1, 11]], [[-1, 11]], [[-1, 8]], [[1, 5]], [[1, 4]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[-1, 5]], [[1, 1]]]}
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id: 288088
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 134, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.h1', 'kernel_order': 8, 'label': '192.127.1ak6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[1, 6]], [[-1, 0]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 9]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 6]], [[1, 9]], [[1, 9]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[1, 6]], [[1, 3]], [[-1, 0]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 6]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 4]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[1, 10]], [[-1, 10]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[-1, 10]], [[1, 10]], [[1, 10]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, 1]], [[1, 7]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 8]], [[1, 11]], [[1, 10]], [[1, 8]], [[-1, 5]], [[-1, 4]], [[1, 2]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[1, 2]], [[-1, 11]], [[1, 4]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[1, 5]], [[1, 4]], [[1, 10]], [[-1, 11]], [[-1, 11]], [[1, 8]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 2]], [[1, 5]], [[-1, 8]], [[1, 5]], [[-1, 10]], [[-1, 4]], [[1, 11]], [[-1, 10]], [[1, 11]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 2]], [[-1, 10]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 11]], [[1, 1]], [[1, 2]], [[-1, 11]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 5]], [[1, 4]], [[1, 1]], [[1, 8]], [[1, 10]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 2]], [[-1, 7]], [[-1, 1]], [[1, 5]], [[-1, 4]], [[-1, 10]], [[1, 8]], [[-1, 11]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, 7]], [[-1, 8]], [[1, 11]], [[1, 7]], [[1, 7]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 7]], [[-1, 11]]]}
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id: 288089
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 135, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.h1', 'kernel_order': 8, 'label': '192.127.1ak7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 9]], [[-1, 3]], [[1, 6]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[-1, 3]], [[-1, 9]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 3]], [[1, 3]], [[-1, 6]], [[-1, 9]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[1, 9]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 0]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[1, 9]], [[1, 0]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 6]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 8]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 10]], [[1, 8]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[1, 10]], [[1, 11]], [[1, 10]], [[1, 11]], [[1, 5]], [[-1, 7]], [[1, 5]], [[1, 11]], [[1, 4]], [[1, 1]], [[-1, 2]], [[-1, 4]], [[-1, 7]], [[1, 8]], [[-1, 10]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[-1, 10]], [[-1, 1]], [[-1, 8]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[1, 7]], [[-1, 8]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 10]], [[1, 7]], [[1, 4]], [[1, 7]], [[1, 2]], [[1, 8]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 10]], [[1, 2]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 1]], [[1, 11]], [[-1, 10]], [[-1, 1]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 7]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 7]], [[-1, 8]], [[1, 11]], [[-1, 4]], [[-1, 2]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 10]], [[-1, 5]], [[-1, 11]], [[1, 7]], [[1, 8]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[1, 11]], [[-1, 8]], [[-1, 5]], [[1, 4]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 11]], [[-1, 11]], [[1, 7]], [[1, 5]], [[-1, 1]]]}
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id: 288090
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 136, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.h1', 'kernel_order': 8, 'label': '192.127.1ak8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[1, 6]], [[-1, 0]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 3]], [[1, 9]], [[-1, 6]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 9]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 6]], [[-1, 9]], [[-1, 9]], [[1, 6]], [[1, 3]], [[1, 9]], [[-1, 6]], [[1, 6]], [[-1, 3]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 6]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 4]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[1, 10]], [[-1, 10]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[-1, 10]], [[1, 10]], [[1, 10]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 8]], [[-1, 11]], [[1, 10]], [[1, 8]], [[1, 5]], [[-1, 4]], [[1, 2]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 2]], [[1, 11]], [[1, 4]], [[1, 7]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[1, 4]], [[1, 10]], [[1, 11]], [[1, 11]], [[1, 8]], [[1, 5]], [[1, 7]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 2]], [[-1, 5]], [[-1, 8]], [[-1, 5]], [[-1, 10]], [[-1, 4]], [[-1, 11]], [[-1, 10]], [[-1, 11]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 11]], [[-1, 2]], [[-1, 10]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[-1, 11]], [[-1, 1]], [[1, 2]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[1, 4]], [[-1, 1]], [[1, 8]], [[1, 10]], [[1, 5]], [[1, 11]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 2]], [[1, 7]], [[1, 1]], [[-1, 5]], [[-1, 4]], [[-1, 10]], [[1, 8]], [[1, 11]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 4]], [[1, 7]], [[-1, 8]], [[-1, 11]], [[-1, 7]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 7]], [[1, 11]]]}
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id: 288091
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id: 288092
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 138, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.g1', 'kernel_order': 8, 'label': '192.127.1al2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 9]], [[1, 3]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[1, 0]], [[-1, 0]], [[1, 6]], [[1, 3]], [[-1, 3]], [[1, 6]], [[-1, 9]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[1, 9]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 6]], [[1, 6]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[-1, 10]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 8]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 10]], [[-1, 2]], [[1, 7]], [[-1, 2]], [[1, 7]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[1, 8]], [[-1, 5]], [[1, 10]], [[-1, 8]], [[-1, 11]], [[1, 4]], [[1, 2]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, 5]], [[-1, 4]], [[1, 1]], [[1, 5]], [[1, 7]], [[-1, 11]], [[-1, 4]], [[1, 10]], [[1, 5]], [[-1, 5]], [[-1, 8]], [[1, 11]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 2]], [[1, 11]], [[1, 8]], [[-1, 11]], [[-1, 10]], [[1, 4]], [[-1, 5]], [[-1, 10]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 4]], [[1, 10]], [[-1, 5]], [[1, 7]], [[1, 2]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 11]], [[1, 11]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 11]], [[-1, 4]], [[-1, 7]], [[-1, 8]], [[1, 10]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[1, 11]], [[-1, 7]], [[1, 2]], [[1, 1]], [[1, 7]], [[1, 11]], [[1, 4]], [[-1, 10]], [[-1, 8]], [[1, 5]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 4]], [[-1, 1]], [[1, 8]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 5]]]}
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id: 288093
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 139, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.g1', 'kernel_order': 8, 'label': '192.127.1al3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[1, 6]], [[-1, 0]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 3]], [[1, 9]], [[1, 6]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 9]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[-1, 6]], [[-1, 3]], [[-1, 9]], [[1, 6]], [[-1, 6]], [[1, 3]], [[1, 0]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[1, 6]], [[-1, 6]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 6]], [[1, 0]], [[-1, 0]], [[1, 8]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 8]], [[-1, 4]], [[-1, 2]], [[1, 10]], [[1, 5]], [[1, 10]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 4]], [[-1, 7]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[-1, 8]], [[-1, 10]], [[1, 11]], [[1, 5]], [[1, 11]], [[-1, 10]], [[1, 7]], [[1, 8]], [[1, 11]], [[1, 7]], [[1, 5]], [[-1, 1]], [[1, 8]], [[-1, 2]], [[1, 7]], [[-1, 7]], [[1, 4]], [[1, 1]], [[-1, 11]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 10]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 2]], [[-1, 8]], [[-1, 7]], [[1, 2]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 2]], [[-1, 7]], [[1, 5]], [[-1, 10]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 11]], [[1, 11]], [[1, 7]], [[1, 1]], [[1, 8]], [[-1, 5]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 10]], [[1, 11]], [[1, 5]], [[1, 1]], [[-1, 8]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 8]], [[-1, 11]], [[-1, 4]], [[-1, 7]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 11]], [[1, 7]]]}
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id: 288095
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 140, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.g1', 'kernel_order': 8, 'label': '192.127.1al4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 9]], [[-1, 3]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 0]], [[1, 3]], [[1, 9]], [[1, 0]], [[-1, 0]], [[1, 6]], [[-1, 3]], [[1, 3]], [[1, 6]], [[1, 9]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 9]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[-1, 6]], [[1, 6]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[-1, 10]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 8]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 10]], [[-1, 2]], [[-1, 7]], [[-1, 2]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 8]], [[1, 5]], [[1, 10]], [[-1, 8]], [[1, 11]], [[1, 4]], [[1, 2]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[1, 2]], [[-1, 5]], [[-1, 4]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[-1, 4]], [[1, 10]], [[-1, 5]], [[1, 5]], [[-1, 8]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 2]], [[-1, 11]], [[1, 8]], [[1, 11]], [[-1, 10]], [[1, 4]], [[1, 5]], [[-1, 10]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 4]], [[1, 10]], [[1, 5]], [[-1, 7]], [[1, 2]], [[1, 5]], [[1, 11]], [[1, 11]], [[1, 11]], [[-1, 11]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 4]], [[1, 7]], [[-1, 8]], [[1, 10]], [[1, 11]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[1, 7]], [[1, 2]], [[-1, 1]], [[-1, 7]], [[-1, 11]], [[1, 4]], [[-1, 10]], [[-1, 8]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 4]], [[1, 1]], [[1, 8]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 7]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 5]]]}
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id: 288096
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 141, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.g1', 'kernel_order': 8, 'label': '192.127.1al5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 6]], [[1, 0]], [[-1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 9]], [[1, 3]], [[-1, 6]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[1, 0]], [[-1, 0]], [[1, 6]], [[1, 3]], [[-1, 3]], [[1, 6]], [[-1, 9]], [[-1, 3]], [[-1, 6]], [[1, 6]], [[1, 9]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 6]], [[1, 6]], [[-1, 9]], [[-1, 0]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 8]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 10]], [[1, 8]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[1, 2]], [[-1, 10]], [[-1, 11]], [[-1, 10]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[1, 5]], [[1, 11]], [[-1, 4]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, 7]], [[-1, 8]], [[1, 10]], [[-1, 5]], [[-1, 11]], [[-1, 5]], [[1, 10]], [[-1, 1]], [[1, 8]], [[-1, 5]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[1, 8]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 10]], [[-1, 7]], [[-1, 4]], [[1, 7]], [[-1, 2]], [[-1, 8]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, 11]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 10]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 1]], [[-1, 11]], [[1, 10]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[1, 8]], [[1, 11]], [[1, 4]], [[1, 2]], [[1, 7]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[1, 11]], [[1, 10]], [[-1, 5]], [[-1, 11]], [[-1, 7]], [[-1, 8]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[-1, 11]], [[-1, 11]], [[1, 11]], [[1, 8]], [[1, 5]], [[-1, 4]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 11]], [[1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 1]]]}
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id: 288097
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 142, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.g1', 'kernel_order': 8, 'label': '192.127.1al6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 0]], [[1, 6]], [[-1, 0]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 3]], [[-1, 9]], [[1, 6]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 9]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[-1, 9]], [[1, 9]], [[-1, 6]], [[1, 3]], [[1, 9]], [[1, 6]], [[-1, 6]], [[-1, 3]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[1, 6]], [[-1, 6]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 6]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 4]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[1, 10]], [[-1, 10]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[-1, 10]], [[1, 10]], [[1, 10]], [[1, 4]], [[1, 8]], [[-1, 10]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[1, 8]], [[-1, 11]], [[-1, 10]], [[-1, 8]], [[-1, 5]], [[1, 4]], [[-1, 2]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 2]], [[1, 11]], [[-1, 4]], [[1, 7]], [[1, 11]], [[1, 1]], [[-1, 5]], [[-1, 4]], [[-1, 10]], [[1, 11]], [[-1, 11]], [[-1, 8]], [[1, 5]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 2]], [[1, 5]], [[1, 8]], [[-1, 5]], [[1, 10]], [[1, 4]], [[-1, 11]], [[1, 10]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[1, 2]], [[1, 10]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 11]], [[1, 1]], [[-1, 2]], [[-1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 7]], [[1, 7]], [[1, 11]], [[1, 5]], [[-1, 4]], [[-1, 1]], [[-1, 8]], [[-1, 10]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 2]], [[1, 7]], [[1, 1]], [[1, 5]], [[1, 4]], [[1, 10]], [[-1, 8]], [[1, 11]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 7]], [[1, 8]], [[-1, 11]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 7]], [[1, 11]]]}
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id: 288098
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id: 288099
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id: 288100
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id: 288101
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id: 288102
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id: 288103
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 148, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.f1', 'kernel_order': 8, 'label': '192.127.1am4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 9]], [[1, 3]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 6]], [[1, 9]], [[1, 3]], [[-1, 6]], [[-1, 6]], [[-1, 0]], [[1, 9]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 6]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 6]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[1, 0]], [[1, 6]], [[1, 6]], [[1, 4]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 4]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 8]], [[1, 10]], [[1, 10]], [[1, 8]], [[1, 2]], [[1, 4]], [[-1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 4]], [[-1, 8]], [[-1, 10]], [[-1, 8]], [[1, 7]], [[1, 8]], [[1, 7]], [[1, 1]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 2]], [[1, 11]], [[-1, 4]], [[1, 2]], [[-1, 11]], [[-1, 10]], [[1, 8]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 8]], [[1, 11]], [[-1, 10]], [[1, 7]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 10]], [[1, 4]], [[-1, 11]], [[1, 5]], [[-1, 2]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 7]], [[1, 1]], [[-1, 8]], [[-1, 11]], [[-1, 2]], [[1, 5]], [[1, 4]], [[1, 10]], [[-1, 11]], [[-1, 4]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[-1, 1]], [[1, 5]], [[1, 8]], [[-1, 4]], [[1, 2]], [[-1, 10]], [[1, 4]], [[1, 11]], [[-1, 7]], [[1, 8]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 10]], [[-1, 1]], [[1, 2]], [[-1, 4]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 7]], [[-1, 8]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[1, 10]], [[1, 4]], [[-1, 2]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 1]], [[-1, 10]], [[1, 1]], [[-1, 2]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[-1, 11]]]}
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id: 288104
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id: 288106
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id: 288107
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 151, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.f1', 'kernel_order': 8, 'label': '192.127.1am7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 9]], [[1, 3]], [[-1, 0]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[-1, 6]], [[1, 9]], [[1, 3]], [[-1, 6]], [[-1, 6]], [[-1, 0]], [[1, 9]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 6]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 6]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[1, 0]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 8]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 11]], [[-1, 4]], [[-1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[1, 10]], [[-1, 7]], [[1, 8]], [[1, 10]], [[1, 7]], [[-1, 2]], [[-1, 4]], [[-1, 11]], [[1, 5]], [[1, 11]], [[1, 4]], [[-1, 7]], [[-1, 2]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 2]], [[-1, 8]], [[1, 7]], [[-1, 1]], [[-1, 10]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[1, 4]], [[1, 7]], [[-1, 10]], [[-1, 1]], [[-1, 8]], [[1, 2]], [[1, 7]], [[1, 8]], [[1, 1]], [[1, 11]], [[1, 11]], [[1, 5]], [[-1, 1]], [[-1, 4]], [[1, 8]], [[1, 10]], [[-1, 2]], [[-1, 8]], [[-1, 7]], [[1, 11]], [[-1, 4]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 5]], [[1, 10]], [[1, 8]], [[-1, 7]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 11]], [[1, 4]], [[1, 11]], [[-1, 5]], [[1, 7]], [[1, 2]], [[-1, 8]], [[-1, 10]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[-1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 10]], [[1, 7]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[1, 5]], [[1, 7]]]}
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id: 288108
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 152, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.f1', 'kernel_order': 8, 'label': '192.127.1am8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[1, 6]], [[1, 6]], [[-1, 0]], [[-1, 3]], [[-1, 9]], [[1, 0]], [[1, 9]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 9]], [[-1, 6]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 6]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 6]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 8]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[-1, 8]], [[1, 1]], [[1, 8]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 1]], [[-1, 7]], [[-1, 2]], [[1, 5]], [[-1, 4]], [[-1, 2]], [[-1, 5]], [[1, 10]], [[1, 8]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 8]], [[1, 5]], [[1, 10]], [[1, 1]], [[1, 11]], [[-1, 7]], [[1, 11]], [[-1, 10]], [[1, 4]], [[-1, 5]], [[1, 11]], [[1, 2]], [[1, 11]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 8]], [[-1, 5]], [[1, 2]], [[1, 11]], [[1, 4]], [[-1, 10]], [[-1, 5]], [[-1, 4]], [[-1, 11]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[1, 8]], [[-1, 4]], [[-1, 2]], [[1, 10]], [[1, 4]], [[1, 5]], [[-1, 1]], [[1, 8]], [[-1, 11]], [[-1, 11]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 7]], [[-1, 11]], [[-1, 11]], [[-1, 10]], [[-1, 7]], [[-1, 2]], [[-1, 4]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[1, 11]], [[1, 1]], [[-1, 8]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[-1, 10]], [[1, 4]], [[1, 2]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 7]], [[1, 10]], [[1, 7]], [[1, 2]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[1, 7]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[-1, 5]]]}
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id: 288109
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 153, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.e1', 'kernel_order': 8, 'label': '192.127.1an1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 3]], [[1, 9]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[-1, 3]], [[1, 9]], [[-1, 0]], [[1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 6]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[-1, 9]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 6]], [[1, 9]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 6]], [[1, 6]], [[-1, 8]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 8]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 10]], [[-1, 8]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 8]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 5]], [[1, 4]], [[1, 5]], [[1, 11]], [[1, 1]], [[-1, 5]], [[1, 11]], [[1, 10]], [[-1, 1]], [[-1, 8]], [[1, 10]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, 5]], [[1, 7]], [[1, 11]], [[-1, 7]], [[1, 2]], [[1, 8]], [[1, 1]], [[1, 7]], [[-1, 10]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[1, 5]], [[1, 11]], [[-1, 4]], [[-1, 1]], [[-1, 10]], [[-1, 7]], [[1, 8]], [[1, 2]], [[1, 1]], [[-1, 8]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[-1, 11]], [[1, 7]], [[1, 4]], [[-1, 8]], [[1, 10]], [[-1, 2]], [[1, 8]], [[-1, 1]], [[-1, 5]], [[1, 4]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 7]], [[1, 7]], [[1, 2]], [[1, 11]], [[1, 10]], [[-1, 8]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 5]], [[-1, 4]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[1, 2]], [[1, 8]], [[-1, 10]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 11]], [[-1, 2]], [[1, 11]], [[-1, 10]], [[1, 1]], [[1, 5]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[1, 1]]]}
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id: 288110
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 154, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.e1', 'kernel_order': 8, 'label': '192.127.1an2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[1, 0]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 9]], [[-1, 3]], [[1, 0]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 6]], [[1, 9]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, 0]], [[1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 6]], [[1, 3]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 9]], [[-1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 4]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 8]], [[1, 10]], [[1, 10]], [[1, 8]], [[1, 2]], [[1, 4]], [[-1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 4]], [[-1, 8]], [[-1, 10]], [[1, 8]], [[-1, 7]], [[-1, 8]], [[-1, 7]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[-1, 1]], [[-1, 2]], [[1, 11]], [[1, 4]], [[-1, 2]], [[1, 11]], [[1, 10]], [[-1, 8]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 8]], [[1, 11]], [[1, 10]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 10]], [[-1, 4]], [[-1, 11]], [[-1, 5]], [[1, 2]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[1, 8]], [[1, 11]], [[1, 2]], [[1, 5]], [[-1, 4]], [[-1, 10]], [[-1, 11]], [[1, 4]], [[1, 5]], [[1, 7]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[-1, 8]], [[1, 4]], [[-1, 2]], [[1, 10]], [[-1, 4]], [[1, 11]], [[1, 7]], [[-1, 8]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[1, 7]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 10]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 7]], [[1, 8]], [[-1, 7]], [[1, 1]], [[1, 11]], [[-1, 10]], [[-1, 4]], [[1, 2]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 10]], [[-1, 1]], [[1, 2]], [[-1, 11]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 11]], [[1, 1]], [[-1, 11]]]}
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id: 288111
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id: 288112
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id: 288113
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id: 288114
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 158, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.e1', 'kernel_order': 8, 'label': '192.127.1an6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 3]], [[1, 9]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[-1, 3]], [[1, 9]], [[-1, 0]], [[1, 9]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 6]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 6]], [[-1, 9]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 6]], [[1, 9]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 6]], [[1, 6]], [[1, 4]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 8]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[1, 8]], [[-1, 1]], [[-1, 8]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[-1, 7]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, 2]], [[1, 5]], [[-1, 10]], [[-1, 8]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[1, 8]], [[1, 5]], [[-1, 10]], [[1, 1]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[1, 10]], [[-1, 4]], [[-1, 5]], [[-1, 11]], [[-1, 2]], [[1, 11]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[1, 8]], [[1, 5]], [[-1, 2]], [[1, 11]], [[-1, 4]], [[1, 10]], [[-1, 5]], [[1, 4]], [[1, 11]], [[1, 1]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[-1, 8]], [[1, 4]], [[1, 2]], [[-1, 10]], [[-1, 4]], [[1, 5]], [[1, 1]], [[-1, 8]], [[1, 11]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 7]], [[1, 11]], [[-1, 11]], [[1, 10]], [[-1, 7]], [[1, 2]], [[1, 4]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[1, 11]], [[-1, 1]], [[1, 8]], [[-1, 1]], [[1, 7]], [[1, 5]], [[1, 10]], [[-1, 4]], [[-1, 2]], [[1, 5]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 10]], [[-1, 7]], [[-1, 2]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 1]], [[-1, 5]], [[1, 7]], [[-1, 5]]]}
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id: 288115
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id: 288117
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 160, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.e1', 'kernel_order': 8, 'label': '192.127.1an8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 0]], [[1, 6]], [[-1, 0]], [[-1, 6]], [[1, 0]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 3]], [[-1, 9]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 6]], [[1, 3]], [[1, 9]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 3]], [[-1, 9]], [[-1, 0]], [[-1, 9]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 9]], [[1, 6]], [[1, 9]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 6]], [[1, 9]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 6]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 6]], [[1, 6]], [[1, 4]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 4]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 8]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[1, 8]], [[1, 1]], [[-1, 8]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 1]], [[1, 7]], [[1, 2]], [[-1, 5]], [[1, 4]], [[1, 2]], [[-1, 5]], [[-1, 10]], [[-1, 8]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 8]], [[-1, 5]], [[-1, 10]], [[-1, 1]], [[1, 11]], [[1, 7]], [[-1, 11]], [[1, 10]], [[-1, 4]], [[1, 5]], [[1, 11]], [[-1, 2]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 7]], [[1, 8]], [[-1, 5]], [[-1, 2]], [[-1, 11]], [[-1, 4]], [[1, 10]], [[1, 5]], [[1, 4]], [[-1, 11]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[1, 11]], [[-1, 8]], [[1, 4]], [[1, 2]], [[-1, 10]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 8]], [[-1, 11]], [[1, 11]], [[1, 11]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 11]], [[1, 11]], [[1, 10]], [[1, 7]], [[1, 2]], [[1, 4]], [[1, 5]], [[-1, 11]], [[1, 11]], [[-1, 11]], [[1, 1]], [[1, 8]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[1, 10]], [[-1, 4]], [[-1, 2]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 10]], [[1, 7]], [[-1, 2]], [[1, 5]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[1, 5]]]}
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id: 288118
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id: 288119
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id: 288120
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id: 288121
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id: 288122
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id: 288123
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id: 288124
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id: 288125
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id: 288126
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id: 288128
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id: 288129
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id: 288130
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id: 288131
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id: 288132
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id: 288133
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id: 288134
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id: 288135
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id: 288136
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id: 288137
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id: 288139
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id: 288140
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id: 288141
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id: 288142
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id: 288143
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 184, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.b1', 'kernel_order': 8, 'label': '192.127.1aq8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 0]], [[-1, 6]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 6]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 6]], [[-1, 0]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 6]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 10]], [[1, 2]], [[-1, 4]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 8]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 4]], [[-1, 4]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 5]], [[1, 4]], [[-1, 11]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 7]], [[-1, 7]], [[1, 11]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[-1, 8]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[1, 11]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 8]], [[1, 1]], [[-1, 5]], [[1, 7]], [[1, 7]], [[1, 11]], [[-1, 2]], [[-1, 11]], [[1, 11]], [[1, 4]], [[-1, 8]], [[1, 10]], [[-1, 10]], [[1, 5]], [[1, 2]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 7]], [[-1, 2]], [[-1, 4]], [[1, 1]], [[-1, 4]], [[1, 2]], [[1, 11]], [[1, 7]], [[-1, 11]], [[1, 7]], [[-1, 7]], [[1, 11]], [[1, 10]], [[1, 5]], [[1, 8]], [[-1, 11]], [[1, 11]], [[1, 8]], [[1, 8]], [[1, 7]], [[1, 10]], [[1, 2]], [[-1, 5]], [[-1, 7]], [[1, 7]], [[-1, 5]], [[1, 1]], [[1, 2]], [[-1, 8]], [[1, 5]], [[-1, 11]], [[-1, 10]], [[-1, 11]], [[-1, 7]], [[1, 7]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 7]], [[-1, 10]], [[1, 1]], [[1, 1]], [[1, 10]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[-1, 8]], [[-1, 10]], [[-1, 11]]]}
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id: 288144
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id: 288145
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id: 288146
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id: 288147
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 188, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 8, 'label': '192.127.1ar4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 6]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[1, 0]], [[-1, 9]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, 9]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 6]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, 0]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 6]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 10]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[1, 10]], [[1, 10]], [[-1, 8]], [[-1, 8]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 4]], [[1, 2]], [[1, 8]], [[1, 10]], [[1, 2]], [[1, 10]], [[1, 4]], [[-1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 11]], [[-1, 4]], [[-1, 5]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 11]], [[1, 8]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[1, 7]], [[-1, 1]], [[1, 5]], [[1, 11]], [[-1, 7]], [[-1, 7]], [[-1, 8]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 5]], [[-1, 4]], [[1, 8]], [[1, 10]], [[-1, 10]], [[1, 11]], [[1, 2]], [[-1, 11]], [[-1, 11]], [[1, 7]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[-1, 7]], [[1, 4]], [[1, 2]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 10]], [[1, 11]], [[-1, 8]], [[1, 5]], [[-1, 5]], [[-1, 8]], [[-1, 8]], [[-1, 1]], [[1, 10]], [[1, 2]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[1, 2]], [[1, 8]], [[-1, 11]], [[1, 5]], [[-1, 10]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 7]], [[-1, 7]], [[1, 5]], [[-1, 11]], [[1, 1]], [[-1, 10]], [[-1, 7]], [[1, 7]], [[1, 10]], [[1, 11]], [[1, 11]], [[1, 7]], [[1, 4]], [[1, 7]], [[-1, 4]], [[1, 8]], [[-1, 10]], [[1, 5]]]}
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id: 288148
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id: 288150
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 190, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 8, 'label': '192.127.1ar6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 0]], [[-1, 6]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 6]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[-1, 6]], [[1, 0]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 10]], [[1, 2]], [[-1, 4]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 8]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 4]], [[-1, 4]], [[1, 10]], [[1, 2]], [[1, 10]], [[1, 5]], [[-1, 4]], [[1, 11]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[1, 8]], [[1, 7]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 8]], [[1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[1, 11]], [[1, 2]], [[1, 11]], [[1, 11]], [[-1, 4]], [[1, 8]], [[-1, 10]], [[1, 10]], [[-1, 5]], [[-1, 2]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 7]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[-1, 7]], [[1, 7]], [[1, 11]], [[-1, 10]], [[-1, 5]], [[-1, 8]], [[-1, 11]], [[1, 11]], [[-1, 8]], [[-1, 8]], [[1, 7]], [[-1, 10]], [[-1, 2]], [[-1, 5]], [[1, 7]], [[1, 7]], [[1, 5]], [[-1, 1]], [[-1, 2]], [[1, 8]], [[1, 5]], [[-1, 11]], [[1, 10]], [[1, 11]], [[-1, 7]], [[1, 7]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, 11]], [[1, 5]], [[-1, 7]], [[1, 10]], [[1, 1]], [[-1, 1]], [[-1, 10]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 8]], [[1, 10]], [[-1, 11]]]}
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id: 288151
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id: 288152
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id: 288153
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id: 288164
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id: 288175
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id: 288186
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id: 288197
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id: 288208
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id: 288219
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id: 288230
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 9, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.e1', 'kernel_order': 48, 'label': '192.127.1g1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]]]}
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id: 288050
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 10, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.e1', 'kernel_order': 48, 'label': '192.127.1g2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]]]}
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id: 288061
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 11, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 48, 'label': '192.127.1h1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]]]}
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id: 288072
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id: 288083
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id: 288094
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id: 288105
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 15, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.d1', 'kernel_order': 48, 'label': '192.127.1j1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
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id: 288116
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 16, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.d1', 'kernel_order': 48, 'label': '192.127.1j2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
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id: 288127
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 17, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.c1', 'kernel_order': 48, 'label': '192.127.1k1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]]]}
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id: 288138
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id: 288149
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id: 288154
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id: 288155
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id: 288156
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id: 288157
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id: 288158
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id: 288159
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id: 288160
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id: 288161
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 27, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.i1', 'kernel_order': 24, 'label': '192.127.1o3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[-1, 2]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 2]], [[1, 0]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 2]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 2]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 1]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 3]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[1, 2]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]]]}
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id: 288162
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 28, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.i1', 'kernel_order': 24, 'label': '192.127.1o4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 2]], [[1, 0]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 2]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 2]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 2]], [[1, 3]], [[-1, 2]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 3]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 1]], [[1, 3]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 0]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]]]}
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id: 288163
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 29, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.j1', 'kernel_order': 24, 'label': '192.127.1p1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 0]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 2]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 2]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 3]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 0]]]}
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id: 288165
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id: 288166
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id: 288167
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id: 288168
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id: 288169
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id: 288170
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id: 288171
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id: 288172
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id: 288173
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id: 288174
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 39, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.k1', 'kernel_order': 24, 'label': '192.127.1r3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 2]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 2]], [[1, 3]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[1, 0]], [[-1, 3]], [[-1, 2]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 3]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 3]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 2]], [[1, 0]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]]]}
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id: 288176
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 40, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.k1', 'kernel_order': 24, 'label': '192.127.1r4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 2]], [[1, 0]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 0]], [[1, 2]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 2]], [[1, 2]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[1, 0]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[1, 2]], [[-1, 3]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 2]], [[1, 1]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[-1, 2]], [[1, 0]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 2]]]}
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id: 288177
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 41, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.h1', 'kernel_order': 24, 'label': '192.127.1s1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 3]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 2]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[1, 1]], [[-1, 2]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 2]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 1]], [[1, 3]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 0]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]]]}
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id: 288178
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id: 288179
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id: 288180
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id: 288181
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 45, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.g1', 'kernel_order': 24, 'label': '192.127.1t1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[1, 1]], [[1, 3]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 3]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 0]], [[-1, 1]], [[1, 2]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 2]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[1, 3]], [[1, 2]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[-1, 0]], [[1, 2]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]]]}
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id: 288182
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 46, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.g1', 'kernel_order': 24, 'label': '192.127.1t2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 1]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 3]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 2]], [[1, 2]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 0]], [[1, 3]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 2]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 2]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 2]], [[-1, 0]], [[1, 3]], [[1, 2]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]]]}
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id: 288183
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 47, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.g1', 'kernel_order': 24, 'label': '192.127.1t3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 3]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 2]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 0]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[1, 2]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[-1, 3]], [[1, 2]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 0]], [[1, 3]], [[-1, 0]], [[1, 2]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]]]}
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id: 288184
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id: 288185
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id: 288187
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id: 288188
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id: 288189
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id: 288190
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 53, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.e1', 'kernel_order': 24, 'label': '192.127.1v1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 3]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 2]], [[-1, 3]], [[-1, 0]], [[-1, 2]], [[-1, 3]], [[1, 2]], [[-1, 0]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 2]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, 0]], [[1, 3]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 0]], [[-1, 3]], [[1, 2]], [[1, 1]], [[1, 0]], [[-1, 2]], [[1, 3]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[-1, 0]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]]]}
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id: 288191
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id: 288192
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id: 288193
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 56, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.e1', 'kernel_order': 24, 'label': '192.127.1v4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 1]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 3]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 2]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 2]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 0]], [[1, 1]], [[-1, 3]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, 1]], [[-1, 0]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 3]], [[1, 2]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 2]], [[1, 3]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]]]}
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id: 288194
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 57, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.d1', 'kernel_order': 24, 'label': '192.127.1w1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 0]], [[1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 3]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 2]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 3]]]}
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id: 288195
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 58, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.d1', 'kernel_order': 24, 'label': '192.127.1w2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 3]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 0]], [[-1, 2]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[-1, 3]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 0]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 2]], [[1, 3]], [[-1, 2]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 2]], [[1, 3]], [[-1, 1]], [[1, 0]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 0]], [[-1, 3]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[1, 3]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 1]]]}
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id: 288196
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 59, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.d1', 'kernel_order': 24, 'label': '192.127.1w3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 3]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 2]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 2]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 3]]]}
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id: 288198
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id: 288199
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id: 288200
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id: 288201
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 63, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.c1', 'kernel_order': 24, 'label': '192.127.1x3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 3]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 0]], [[1, 1]], [[-1, 3]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 2]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 2]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 3]]]}
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id: 288202
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 64, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.c1', 'kernel_order': 24, 'label': '192.127.1x4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 3]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 3]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 0]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[-1, 2]], [[1, 3]], [[1, 2]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]]]}
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id: 288203
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 65, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 24, 'label': '192.127.1y1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 2]], [[-1, 0]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 2]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 3]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 2]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 3]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[-1, 0]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]]]}
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id: 288204
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id: 288205
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id: 288206
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 68, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.b1', 'kernel_order': 24, 'label': '192.127.1y4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 0]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 2]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 3]]]}
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id: 288207
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 69, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 24, 'label': '192.127.1z1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 2]], [[1, 0]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 3]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[1, 3]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, 3]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[1, 0]], [[-1, 3]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 1]]]}
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id: 288209
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 70, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 24, 'label': '192.127.1z2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 3]]]}
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id: 288210
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 71, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 24, 'label': '192.127.1z3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[1, 0]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 2]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 3]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 3]], [[-1, 0]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 3]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 1]]]}
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id: 288211
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 192, 'counter': 72, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '192.127', 'group_counter': 127, 'group_order': 192, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 24, 'label': '192.127.1z4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[1, 0]], [[1, 3]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 2]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[1, 1]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[-1, 1]], [[-1, 3]], [[1, 2]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 3]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 20010127
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 192, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '192.127.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.127', 'subgroup_hash': 127, 'subgroup_order': 192, 'subgroup_tex': 'C_8\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010138
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 96, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010149
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 96, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.2.a1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010160
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 96, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.2.a1.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010171
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 64, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '192.127.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, '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': '64.2', 'subgroup_hash': 2, 'subgroup_order': 64, 'subgroup_tex': 'C_8^2', 'supersolvable': True, 'sylow': 2}
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id: 20010182
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010193
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.4.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010199
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.4.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010200
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.4.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010128
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.4.a1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010129
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.4.a1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010130
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 48, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 20010131
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 32, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, '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': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010132
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 32, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.6.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.b1', 'outer_equivalence': False, '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': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010133
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 32, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.6.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.c1', 'outer_equivalence': False, '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': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010134
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 16, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010135
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 17, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010136
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 18, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010137
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 19, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010139
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 20, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010140
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 21, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010141
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 22, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010142
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 23, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010143
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 24, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.i1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010144
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 25, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.j1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010145
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 26, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.k1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010146
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 27, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.8.a1.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.l1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 20010147
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 20010148
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.8.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.b1', 'outer_equivalence': False, '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': ['C3'], '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}
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id: 20010150
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.8.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.c1', 'outer_equivalence': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 20010151
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010152
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.12.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.b1', 'outer_equivalence': False, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010153
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.12.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.c1', 'outer_equivalence': False, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010154
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.12.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.d1', 'outer_equivalence': False, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010155
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.12.a1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.e1', 'outer_equivalence': False, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 20010156
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.12.a1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.f1', 'outer_equivalence': False, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010157
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 16, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, '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': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 20010158
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 38, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', '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: 20010159
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 39, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.16.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', '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: 20010161
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 40, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.16.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', '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: 20010162
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.16.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', '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: 20010163
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 42, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.16.a1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', '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: 20010164
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.16.a1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', '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: 20010165
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 12, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, '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': ['S', 'C4'], '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: 20010166
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 45, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010167
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 46, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010168
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 47, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010169
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 48, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010170
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 49, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010172
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 50, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010173
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 51, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010174
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 52, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 20010175
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 53, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.i1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 20010176
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 54, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.j1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 20010177
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 55, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.k1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010178
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 56, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '192.127.24.a1.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.l1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 20010179
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 20010180
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.24.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.b1', 'outer_equivalence': False, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 20010181
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.24.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.c1', 'outer_equivalence': False, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 20010183
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 60, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_8', '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: 20010184
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 61, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.32.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['C5'], '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: 20010185
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 62, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.32.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_8', '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: 20010186
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 63, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 20010187
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 64, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.48.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 20010188
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 65, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.48.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 20010189
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 66, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.48.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 20010190
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 67, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.48.a1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 20010191
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 68, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.48.a1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 20010192
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 4, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '192.127.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 20010194
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 3, 'counter': 70, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '192.127.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 20010195
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 71, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{24}', '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: 20010196
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 72, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.96.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{24}', '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}
-
id: 20010197
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 73, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '192.127.96.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{24}', '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: 20010198
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '192.127', 'ambient_counter': 127, 'ambient_order': 192, 'ambient_tex': 'C_8\\times C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 1, 'counter': 74, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '192.127.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '192.127', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 127, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times C_{24}', '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: 20010127
{'ambient': '192.127', '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.a1', 'complements': ['192.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.a1.b1', '2.a1.c1', '3.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8111, 8111, 3617, 3617, 7305, 7305, 5194, 5194], 'generators': [1, 4, 48, 24, 96, 64, 2], 'label': '192.127.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.c1', '2.a1.b1', '2.a1.a1', '3.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.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.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010128
{'ambient': '192.127', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.c1'], 'contains': ['8.a1.i1', '8.a1.j1', '8.b1.c1', '12.a1.e1'], 'core': '4.a1.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [3471, 3471, 2461, 2461, 2575, 2575, 2665, 2665], 'generators': [27, 100, 96, 64, 54], 'label': '192.127.4.a1.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.e1', 'normal_contained_in': ['2.a1.c1'], 'normal_contains': ['8.a1.i1', '8.a1.j1', '8.b1.c1', '12.a1.e1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.e1', '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.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010129
{'ambient': '192.127', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.c1'], 'contains': ['8.a1.k1', '8.a1.l1', '8.b1.c1', '12.a1.f1'], 'core': '4.a1.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [3471, 3471, 788, 788, 2575, 2575, 968, 968], 'generators': [25, 100, 96, 64, 50], 'label': '192.127.4.a1.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.f1', 'normal_contained_in': ['2.a1.c1'], 'normal_contains': ['8.a1.k1', '8.a1.l1', '8.b1.c1', '12.a1.f1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.f1', '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.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010130
{'ambient': '192.127', 'aut_centralizer_order': 16, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1488', 'aut_weyl_index': 16, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.a1.b1', '2.a1.c1'], 'contains': ['8.b1.a1', '8.b1.b1', '8.b1.c1', '12.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6271, 6271, 4899, 4899, 5828, 5828, 4831, 4831], 'generators': [2, 96, 48, 64, 4], 'label': '192.127.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.c1', '2.a1.b1', '2.a1.a1'], 'normal_contains': ['8.b1.c1', '8.b1.a1', '8.b1.b1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', '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.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010131
{'ambient': '192.127', 'aut_centralizer_order': 8, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '128.753', 'aut_weyl_index': 24, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.a1.b1', '12.b1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8111, 8111, 5482, 5482, 8822, 8822, 5449, 5449], 'generators': [2, 24], 'label': '192.127.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.a1.b1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.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.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010132
{'ambient': '192.127', 'aut_centralizer_order': 8, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '128.753', 'aut_weyl_index': 24, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '3.a1.a1'], 'contains': ['12.a1.c1', '12.a1.d1', '12.b1.a1'], 'core': '6.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8111, 8111, 3249, 3249, 8822, 8822, 8110, 8110], 'generators': [1, 48], 'label': '192.127.6.a1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.b1', 'normal_contained_in': ['2.a1.b1', '3.a1.a1'], 'normal_contains': ['12.a1.c1', '12.a1.d1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.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.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010133
{'ambient': '192.127', 'aut_centralizer_order': 8, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '128.753', 'aut_weyl_index': 24, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.c1', '3.a1.a1'], 'contains': ['12.a1.e1', '12.a1.f1', '12.b1.a1'], 'core': '6.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [8111, 8111, 1355, 1355, 8822, 8822, 2047, 2047], 'generators': [27, 48], 'label': '192.127.6.a1.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.c1', 'normal_contained_in': ['2.a1.c1', '3.a1.a1'], 'normal_contains': ['12.a1.e1', '12.a1.f1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.c1', '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.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010134
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.e1', '24.a1.f1', '24.a1.g1', '24.a1.h1', '24.a1.i1', '24.a1.j1', '24.a1.k1', '24.a1.l1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '24.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 7470, 7470, 1138, 1138, 6611, 6611], 'generators': [24, 64, 48, 96], 'label': '192.127.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010135
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.e1', '24.a1.f1', '24.a1.g1', '24.a1.h1', '24.a1.j1', '24.a1.i1', '24.a1.l1', '24.a1.k1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '24.a1.b1'], 'core': '8.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 8789, 8789, 1138, 1138, 6248, 6248], 'generators': [28, 64, 48, 96], 'label': '192.127.8.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.b1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.b1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010136
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.e1', '24.a1.f1', '24.a1.g1', '24.a1.h1', '24.a1.k1', '24.a1.l1', '24.a1.j1', '24.a1.i1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1'], 'contains': ['16.a1.b1', '24.a1.c1'], 'core': '8.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 9440, 9440, 1138, 1138, 3390, 3390], 'generators': [30, 64, 52, 96], 'label': '192.127.8.a1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.c1', 'normal_contained_in': ['4.a1.b1'], 'normal_contains': ['16.a1.b1', '24.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.c1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010137
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.e1', '24.a1.f1', '24.a1.g1', '24.a1.h1', '24.a1.i1', '24.a1.j1', '24.a1.l1', '24.a1.k1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1'], 'contains': ['16.a1.b1', '24.a1.d1'], 'core': '8.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 9841, 9841, 1138, 1138, 3752, 3752], 'generators': [26, 64, 52, 96], 'label': '192.127.8.a1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.d1', 'normal_contained_in': ['4.a1.b1'], 'normal_contains': ['16.a1.b1', '24.a1.d1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.d1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010138
{'ambient': '192.127', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '256.16429', 'aut_weyl_index': 12, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '6.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6752, 6752, 5482, 5482, 6088, 6088, 4942, 4942], 'generators': [2, 96, 48, 24, 64, 4], 'label': '192.127.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.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.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010139
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.a1', '24.a1.b1', '24.a1.d1', '24.a1.c1', '24.a1.i1', '24.a1.j1', '24.a1.k1', '24.a1.l1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.c1'], 'contains': ['16.a1.c1', '24.a1.e1'], 'core': '8.a1.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 3707, 3707, 1138, 1138, 6973, 6973], 'generators': [1, 64, 2, 4], 'label': '192.127.8.a1.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.e1', 'normal_contained_in': ['4.a1.c1'], 'normal_contains': ['16.a1.c1', '24.a1.e1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.e1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010140
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.a1', '24.a1.b1', '24.a1.d1', '24.a1.c1', '24.a1.j1', '24.a1.i1', '24.a1.l1', '24.a1.k1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.c1'], 'contains': ['16.a1.c1', '24.a1.f1'], 'core': '8.a1.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 4108, 4108, 1138, 1138, 8011, 8011], 'generators': [99, 64, 6, 4], 'label': '192.127.8.a1.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.f1', 'normal_contained_in': ['4.a1.c1'], 'normal_contains': ['16.a1.c1', '24.a1.f1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.f1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010141
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.a1', '24.a1.b1', '24.a1.d1', '24.a1.c1', '24.a1.k1', '24.a1.l1', '24.a1.j1', '24.a1.i1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.d1'], 'contains': ['16.a1.d1', '24.a1.g1'], 'core': '8.a1.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 6323, 6323, 1138, 1138, 9494, 9494], 'generators': [51, 64, 102, 4], 'label': '192.127.8.a1.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.g1', 'normal_contained_in': ['4.a1.d1'], 'normal_contains': ['16.a1.d1', '24.a1.g1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.g1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010142
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.a1', '24.a1.b1', '24.a1.d1', '24.a1.c1', '24.a1.l1', '24.a1.k1', '24.a1.i1', '24.a1.j1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.d1'], 'contains': ['16.a1.d1', '24.a1.h1'], 'core': '8.a1.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 6724, 6724, 1138, 1138, 9856, 9856], 'generators': [49, 64, 98, 4], 'label': '192.127.8.a1.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.h1', 'normal_contained_in': ['4.a1.d1'], 'normal_contains': ['16.a1.d1', '24.a1.h1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.h1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 20010143
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.a1', '24.a1.b1', '24.a1.c1', '24.a1.d1', '24.a1.g1', '24.a1.h1', '24.a1.f1', '24.a1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.e1'], 'contains': ['16.a1.e1', '24.a1.i1'], 'core': '8.a1.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 2561, 2561, 1138, 1138, 3027, 3027], 'generators': [27, 64, 54, 100], 'label': '192.127.8.a1.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.i1', 'normal_contained_in': ['4.a1.e1'], 'normal_contains': ['16.a1.e1', '24.a1.i1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.i1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010144
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.a1', '24.a1.b1', '24.a1.c1', '24.a1.d1', '24.a1.h1', '24.a1.g1', '24.a1.e1', '24.a1.f1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.e1'], 'contains': ['16.a1.e1', '24.a1.j1'], 'core': '8.a1.j1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 2961, 2961, 1138, 1138, 2665, 2665], 'generators': [123, 64, 54, 100], 'label': '192.127.8.a1.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.j1', 'normal_contained_in': ['4.a1.e1'], 'normal_contains': ['16.a1.e1', '24.a1.j1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.j1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010145
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.a1', '24.a1.b1', '24.a1.c1', '24.a1.d1', '24.a1.f1', '24.a1.e1', '24.a1.h1', '24.a1.g1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.f1'], 'contains': ['16.a1.f1', '24.a1.k1'], 'core': '8.a1.k1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 905, 905, 1138, 1138, 507, 507], 'generators': [25, 64, 50, 100], 'label': '192.127.8.a1.k1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.k1', 'normal_contained_in': ['4.a1.f1'], 'normal_contains': ['16.a1.f1', '24.a1.k1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.k1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010146
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['24.a1.a1', '24.a1.b1', '24.a1.c1', '24.a1.d1', '24.a1.e1', '24.a1.f1', '24.a1.g1', '24.a1.h1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.f1'], 'contains': ['16.a1.f1', '24.a1.l1'], 'core': '8.a1.l1', 'coset_action_label': None, 'count': 1, 'diagramx': [5155, 5155, 159, 159, 1138, 1138, 144, 144], 'generators': [171, 64, 150, 100], 'label': '192.127.8.a1.l1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.l1', 'normal_contained_in': ['4.a1.f1'], 'normal_contains': ['16.a1.f1', '24.a1.l1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.l1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010147
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1'], 'contains': ['16.a1.a1', '16.a1.b1', '16.b1.a1', '24.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2989, 2989, 8216, 8216, 3653, 3653, 4831, 4831], 'generators': [4, 48, 64, 96], 'label': '192.127.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1'], 'normal_contains': ['16.a1.b1', '16.a1.a1', '16.b1.a1', '24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.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.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010148
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.c1', '4.a1.d1', '4.b1.a1'], 'contains': ['16.a1.c1', '16.a1.d1', '16.b1.a1', '24.b1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2989, 2989, 5546, 5546, 3653, 3653, 7492, 7492], 'generators': [2, 96, 64, 4], 'label': '192.127.8.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': ['4.a1.c1', '4.a1.d1', '4.b1.a1'], 'normal_contains': ['16.a1.c1', '16.a1.d1', '16.b1.a1', '24.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.b1', '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.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010149
{'ambient': '192.127', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '256.16429', 'aut_weyl_index': 12, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.c1', '4.a1.d1', '4.b1.a1', '6.a1.b1'], 'core': '2.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6752, 6752, 3981, 3981, 6088, 6088, 7492, 7492], 'generators': [1, 4, 96, 48, 64, 2], 'label': '192.127.2.a1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.c1', '4.a1.d1', '4.b1.a1', '6.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.b1', '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.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010150
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.e1', '4.a1.f1', '4.b1.a1'], 'contains': ['16.a1.e1', '16.a1.f1', '16.b1.a1', '24.b1.c1'], 'core': '8.b1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2989, 2989, 1988, 1988, 3653, 3653, 2146, 2146], 'generators': [54, 96, 64, 100], 'label': '192.127.8.b1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.c1', 'normal_contained_in': ['4.a1.e1', '4.a1.f1', '4.b1.a1'], 'normal_contains': ['16.a1.e1', '16.a1.f1', '16.b1.a1', '24.b1.c1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.c1', '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.b1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010198
{'ambient': '192.127', 'aut_centralizer_order': None, 'aut_label': '192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.a1.b1', '96.a1.c1'], 'contains': [], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1701, 1701, 5887, 5887, 1836, 1836, 4926, 4926], 'generators': [], 'label': '192.127.192.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.a1.a1', '96.a1.c1', '96.a1.b1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': '192.127', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010151
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.a1.b1', '24.b1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8231, 8231, 7279, 7279, 6647, 6647, 5787, 5787], 'generators': [4, 24], 'label': '192.127.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.b1', '24.a1.a1', '24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.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.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010152
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '6.a1.a1'], 'contains': ['24.a1.c1', '24.a1.d1', '24.b1.a1'], 'core': '12.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8231, 8231, 8935, 8935, 6647, 6647, 4213, 4213], 'generators': [30, 144], 'label': '192.127.12.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1.b1', 'normal_contained_in': ['4.a1.b1', '6.a1.a1'], 'normal_contains': ['24.a1.d1', '24.a1.c1', '24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.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.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010153
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.c1', '6.a1.b1'], 'contains': ['24.a1.e1', '24.a1.f1', '24.b1.b1'], 'core': '12.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [8231, 8231, 3249, 3249, 6647, 6647, 8472, 8472], 'generators': [1, 96], 'label': '192.127.12.a1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1.c1', 'normal_contained_in': ['4.a1.c1', '6.a1.b1'], 'normal_contains': ['24.a1.f1', '24.a1.e1', '24.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.c1', '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.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010154
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.d1', '6.a1.b1'], 'contains': ['24.a1.g1', '24.a1.h1', '24.b1.b1'], 'core': '12.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [8231, 8231, 5450, 5450, 6647, 6647, 9032, 9032], 'generators': [51, 96], 'label': '192.127.12.a1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1.d1', 'normal_contained_in': ['4.a1.d1', '6.a1.b1'], 'normal_contains': ['24.a1.h1', '24.a1.g1', '24.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.d1', '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.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010155
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.e1', '6.a1.c1'], 'contains': ['24.a1.i1', '24.a1.j1', '24.b1.c1'], 'core': '12.a1.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [8231, 8231, 1592, 1592, 6647, 6647, 1528, 1528], 'generators': [27, 96], 'label': '192.127.12.a1.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1.e1', 'normal_contained_in': ['4.a1.e1', '6.a1.c1'], 'normal_contains': ['24.a1.i1', '24.a1.j1', '24.b1.c1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.e1', '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.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010156
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.f1', '6.a1.c1'], 'contains': ['24.a1.k1', '24.a1.l1', '24.b1.c1'], 'core': '12.a1.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [8231, 8231, 282, 282, 6647, 6647, 968, 968], 'generators': [25, 96], 'label': '192.127.12.a1.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1.f1', 'normal_contained_in': ['4.a1.f1', '6.a1.c1'], 'normal_contains': ['24.a1.k1', '24.a1.l1', '24.b1.c1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.f1', '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.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010157
{'ambient': '192.127', 'aut_centralizer_order': 32, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.195', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1', '6.a1.b1', '6.a1.c1'], 'contains': ['24.b1.a1', '24.b1.b1', '24.b1.c1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6358, 6358, 4608, 4608, 8822, 8822, 5338, 5338], 'generators': [2, 48], 'label': '192.127.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.c1', '6.a1.b1', '6.a1.a1'], 'normal_contains': ['24.b1.c1', '24.b1.a1', '24.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', '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.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010158
{'ambient': '192.127', 'aut_centralizer_order': 128, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.a1.b1', '8.b1.a1'], 'contains': ['32.a1.a1', '48.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2938, 2938, 8021, 8021, 699, 699, 6104, 6104], 'generators': [48, 64, 96], 'label': '192.127.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.b1', '8.a1.a1', '8.b1.a1'], 'normal_contains': ['32.a1.a1', '48.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010159
{'ambient': '192.127', 'aut_centralizer_order': 128, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.c1', '8.a1.d1', '8.b1.a1'], 'contains': ['32.a1.a1', '48.a1.b1'], 'core': '16.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2938, 2938, 9395, 9395, 699, 699, 3950, 3950], 'generators': [52, 64, 96], 'label': '192.127.16.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.b1', 'normal_contained_in': ['8.a1.d1', '8.a1.c1', '8.b1.a1'], 'normal_contains': ['32.a1.a1', '48.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.b1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010160
{'ambient': '192.127', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '256.16429', 'aut_weyl_index': 12, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.e1', '4.a1.f1', '4.b1.a1', '6.a1.c1'], 'core': '2.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6752, 6752, 2461, 2461, 6088, 6088, 2665, 2665], 'generators': [27, 100, 96, 48, 64, 54], 'label': '192.127.2.a1.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.c1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.e1', '4.a1.f1', '4.b1.a1', '6.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.c1', '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.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010161
{'ambient': '192.127', 'aut_centralizer_order': 128, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.e1', '8.a1.f1', '8.b1.b1'], 'contains': ['32.a1.b1', '48.a1.c1'], 'core': '16.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2938, 2938, 4322, 4322, 699, 699, 6973, 6973], 'generators': [2, 64, 4], 'label': '192.127.16.a1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.c1', 'normal_contained_in': ['8.a1.f1', '8.a1.e1', '8.b1.b1'], 'normal_contains': ['32.a1.b1', '48.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.c1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010162
{'ambient': '192.127', 'aut_centralizer_order': 128, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.g1', '8.a1.h1', '8.b1.b1'], 'contains': ['32.a1.b1', '48.a1.d1'], 'core': '16.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [2938, 2938, 6574, 6574, 699, 699, 9073, 9073], 'generators': [102, 64, 4], 'label': '192.127.16.a1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.d1', 'normal_contained_in': ['8.a1.h1', '8.a1.g1', '8.b1.b1'], 'normal_contains': ['32.a1.b1', '48.a1.d1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.d1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010163
{'ambient': '192.127', 'aut_centralizer_order': 128, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.i1', '8.a1.j1', '8.b1.c1'], 'contains': ['32.a1.c1', '48.a1.e1'], 'core': '16.a1.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [2938, 2938, 2861, 2861, 699, 699, 3027, 3027], 'generators': [54, 64, 100], 'label': '192.127.16.a1.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.e1', 'normal_contained_in': ['8.a1.i1', '8.a1.j1', '8.b1.c1'], 'normal_contains': ['32.a1.c1', '48.a1.e1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.e1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010164
{'ambient': '192.127', 'aut_centralizer_order': 128, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.k1', '8.a1.l1', '8.b1.c1'], 'contains': ['32.a1.c1', '48.a1.f1'], 'core': '16.a1.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [2938, 2938, 1182, 1182, 699, 699, 927, 927], 'generators': [50, 64, 100], 'label': '192.127.16.a1.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.f1', 'normal_contained_in': ['8.a1.k1', '8.a1.l1', '8.b1.c1'], 'normal_contains': ['32.a1.c1', '48.a1.f1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.f1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010165
{'ambient': '192.127', 'aut_centralizer_order': 256, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 256, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.b1.b1', '8.b1.c1'], 'contains': ['32.a1.a1', '32.a1.b1', '32.a1.c1', '48.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1014, 1014, 5546, 5546, 4371, 4371, 4778, 4778], 'generators': [4, 96, 64], 'label': '192.127.16.b1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.b1.c1', '8.b1.a1', '8.b1.b1'], 'normal_contains': ['32.a1.a1', '32.a1.c1', '32.a1.b1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.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.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010166
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.e1', '8.a1.f1', '8.a1.g1', '8.a1.h1', '8.a1.i1', '8.a1.j1', '8.a1.k1', '8.a1.l1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1'], 'contains': ['48.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 7215, 7215, 2295, 2295, 6433, 6433], 'generators': [24], 'label': '192.127.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010167
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.e1', '8.a1.f1', '8.a1.g1', '8.a1.h1', '8.a1.j1', '8.a1.i1', '8.a1.l1', '8.a1.k1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.b1', '12.a1.a1'], 'contains': ['48.a1.a1'], 'core': '24.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 8508, 8508, 2295, 2295, 5774, 5774], 'generators': [28], 'label': '192.127.24.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.b1', 'normal_contained_in': ['8.a1.b1', '12.a1.a1'], 'normal_contains': ['48.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.b1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010168
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.e1', '8.a1.f1', '8.a1.g1', '8.a1.h1', '8.a1.k1', '8.a1.l1', '8.a1.j1', '8.a1.i1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.c1', '12.a1.b1'], 'contains': ['48.a1.b1'], 'core': '24.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 9008, 9008, 2295, 2295, 3620, 3620], 'generators': [30], 'label': '192.127.24.a1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.c1', 'normal_contained_in': ['8.a1.c1', '12.a1.b1'], 'normal_contains': ['48.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.c1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010169
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.e1', '8.a1.f1', '8.a1.g1', '8.a1.h1', '8.a1.i1', '8.a1.j1', '8.a1.l1', '8.a1.k1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.d1', '12.a1.b1'], 'contains': ['48.a1.b1'], 'core': '24.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 9509, 9509, 2295, 2295, 4279, 4279], 'generators': [26], 'label': '192.127.24.a1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.d1', 'normal_contained_in': ['8.a1.d1', '12.a1.b1'], 'normal_contains': ['48.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.d1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010170
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.a1', '8.a1.b1', '8.a1.d1', '8.a1.c1', '8.a1.k1', '8.a1.l1', '8.a1.i1', '8.a1.j1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.e1', '12.a1.c1'], 'contains': ['48.a1.c1'], 'core': '24.a1.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 3526, 3526, 2295, 2295, 7302, 7302], 'generators': [1], 'label': '192.127.24.a1.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.e1', 'normal_contained_in': ['8.a1.e1', '12.a1.c1'], 'normal_contains': ['48.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.e1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010171
{'ambient': '192.127', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408559241', 'aut_weyl_index': 2, 'centralizer': '1.a1.a1', 'complements': ['64.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.a1.b1', '6.a1.c1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9038, 9038, 3249, 3249, 8683, 8683, 5449, 5449], 'generators': [1, 24], 'label': '192.127.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.c1', '6.a1.b1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.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.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010172
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.a1', '8.a1.b1', '8.a1.d1', '8.a1.c1', '8.a1.l1', '8.a1.k1', '8.a1.j1', '8.a1.i1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.f1', '12.a1.c1'], 'contains': ['48.a1.c1'], 'core': '24.a1.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 3854, 3854, 2295, 2295, 8159, 8159], 'generators': [99], 'label': '192.127.24.a1.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.f1', 'normal_contained_in': ['8.a1.f1', '12.a1.c1'], 'normal_contains': ['48.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.f1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010173
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.a1', '8.a1.b1', '8.a1.d1', '8.a1.c1', '8.a1.j1', '8.a1.i1', '8.a1.k1', '8.a1.l1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.g1', '12.a1.d1'], 'contains': ['48.a1.d1'], 'core': '24.a1.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 5555, 5555, 2295, 2295, 8744, 8744], 'generators': [51], 'label': '192.127.24.a1.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.g1', 'normal_contained_in': ['8.a1.g1', '12.a1.d1'], 'normal_contains': ['48.a1.d1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.g1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010174
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.a1', '8.a1.b1', '8.a1.d1', '8.a1.c1', '8.a1.i1', '8.a1.j1', '8.a1.l1', '8.a1.k1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.h1', '12.a1.d1'], 'contains': ['48.a1.d1'], 'core': '24.a1.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 6401, 6401, 2295, 2295, 9403, 9403], 'generators': [49], 'label': '192.127.24.a1.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.h1', 'normal_contained_in': ['8.a1.h1', '12.a1.d1'], 'normal_contains': ['48.a1.d1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.h1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010175
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.a1', '8.a1.b1', '8.a1.c1', '8.a1.d1', '8.a1.f1', '8.a1.e1', '8.a1.g1', '8.a1.h1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.i1', '12.a1.e1'], 'contains': ['48.a1.e1'], 'core': '24.a1.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 2238, 2238, 2295, 2295, 2698, 2698], 'generators': [27], 'label': '192.127.24.a1.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.i1', 'normal_contained_in': ['8.a1.i1', '12.a1.e1'], 'normal_contains': ['48.a1.e1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.i1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010176
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.a1', '8.a1.b1', '8.a1.c1', '8.a1.d1', '8.a1.e1', '8.a1.f1', '8.a1.h1', '8.a1.g1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.j1', '12.a1.e1'], 'contains': ['48.a1.e1'], 'core': '24.a1.j1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 2575, 2575, 2295, 2295, 2401, 2401], 'generators': [123], 'label': '192.127.24.a1.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.j1', 'normal_contained_in': ['8.a1.j1', '12.a1.e1'], 'normal_contains': ['48.a1.e1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.j1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010177
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.a1', '8.a1.b1', '8.a1.c1', '8.a1.d1', '8.a1.h1', '8.a1.g1', '8.a1.f1', '8.a1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.k1', '12.a1.f1'], 'contains': ['48.a1.f1'], 'core': '24.a1.k1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 678, 678, 2295, 2295, 1256, 1256], 'generators': [25], 'label': '192.127.24.a1.k1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.k1', 'normal_contained_in': ['8.a1.k1', '12.a1.f1'], 'normal_contains': ['48.a1.f1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.k1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010178
{'ambient': '192.127', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': ['8.a1.a1', '8.a1.b1', '8.a1.c1', '8.a1.d1', '8.a1.g1', '8.a1.h1', '8.a1.e1', '8.a1.f1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.l1', '12.a1.f1'], 'contains': ['48.a1.f1'], 'core': '24.a1.l1', 'coset_action_label': None, 'count': 1, 'diagramx': [6461, 6461, 282, 282, 2295, 2295, 597, 597], 'generators': [171], 'label': '192.127.24.a1.l1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.l1', 'normal_contained_in': ['8.a1.l1', '12.a1.f1'], 'normal_contains': ['48.a1.f1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.l1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010179
{'ambient': '192.127', 'aut_centralizer_order': 128, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.a1.b1', '12.b1.a1'], 'contains': ['48.a1.a1', '48.a1.b1', '48.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4674, 4674, 8034, 8034, 7086, 7086, 5338, 5338], 'generators': [4, 48], 'label': '192.127.24.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1', '12.a1.b1', '12.b1.a1'], 'normal_contains': ['48.a1.b1', '48.a1.a1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.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.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010180
{'ambient': '192.127', 'aut_centralizer_order': 128, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '12.a1.c1', '12.a1.d1', '12.b1.a1'], 'contains': ['48.a1.c1', '48.a1.d1', '48.b1.a1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4674, 4674, 4563, 4563, 7086, 7086, 7731, 7731], 'generators': [2, 96], 'label': '192.127.24.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': ['8.b1.b1', '12.a1.c1', '12.a1.d1', '12.b1.a1'], 'normal_contains': ['48.a1.c1', '48.a1.d1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.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.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010181
{'ambient': '192.127', 'aut_centralizer_order': 128, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.c1', '12.a1.e1', '12.a1.f1', '12.b1.a1'], 'contains': ['48.a1.e1', '48.a1.f1', '48.b1.a1'], 'core': '24.b1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4674, 4674, 1592, 1592, 7086, 7086, 1973, 1973], 'generators': [54, 96], 'label': '192.127.24.b1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.c1', 'normal_contained_in': ['8.b1.c1', '12.a1.e1', '12.a1.f1', '12.b1.a1'], 'normal_contains': ['48.a1.e1', '48.a1.f1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.c1', '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.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010182
{'ambient': '192.127', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.a1.b1', '8.b1.a1', '12.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3471, 3471, 7470, 7470, 2575, 2575, 6067, 6067], 'generators': [4, 96, 24, 64, 48], 'label': '192.127.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.b1', '8.a1.a1', '8.b1.a1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.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.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010183
{'ambient': '192.127', 'aut_centralizer_order': 512, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.a1.b1', '16.b1.a1'], 'contains': ['64.a1.a1', '96.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [962, 962, 6979, 6979, 1118, 1118, 4778, 4778], 'generators': [96, 64], 'label': '192.127.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.b1', '16.a1.a1', '16.b1.a1'], 'normal_contains': ['64.a1.a1', '96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '32.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010184
{'ambient': '192.127', 'aut_centralizer_order': 512, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.c1', '16.a1.d1', '16.b1.a1'], 'contains': ['64.a1.a1', '96.a1.b1'], 'core': '32.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [962, 962, 6192, 6192, 1118, 1118, 6520, 6520], 'generators': [4, 64], 'label': '192.127.32.a1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.b1', 'normal_contained_in': ['16.a1.c1', '16.a1.d1', '16.b1.a1'], 'normal_contains': ['64.a1.a1', '96.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.b1', 'projective_image': '32.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010185
{'ambient': '192.127', 'aut_centralizer_order': 512, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.e1', '16.a1.f1', '16.b1.a1'], 'contains': ['64.a1.a1', '96.a1.c1'], 'core': '32.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [962, 962, 3289, 3289, 1118, 1118, 3505, 3505], 'generators': [100, 64], 'label': '192.127.32.a1.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.c1', 'normal_contained_in': ['16.a1.e1', '16.a1.f1', '16.b1.a1'], 'normal_contains': ['64.a1.a1', '96.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.c1', 'projective_image': '32.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010186
{'ambient': '192.127', 'aut_centralizer_order': 256, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.a1.b1', '24.b1.a1'], 'contains': ['96.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4433, 4433, 7639, 7639, 2555, 2555, 5774, 5774], 'generators': [48], 'label': '192.127.48.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.b1', '24.a1.a1', '24.b1.a1'], 'normal_contains': ['96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010187
{'ambient': '192.127', 'aut_centralizer_order': 256, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.b1', '24.a1.c1', '24.a1.d1', '24.b1.a1'], 'contains': ['96.a1.a1'], 'core': '48.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4433, 4433, 9008, 9008, 2555, 2555, 4279, 4279], 'generators': [52], 'label': '192.127.48.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.b1', 'normal_contained_in': ['16.a1.b1', '24.a1.d1', '24.a1.c1', '24.b1.a1'], 'normal_contains': ['96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.b1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010188
{'ambient': '192.127', 'aut_centralizer_order': 256, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.c1', '24.a1.e1', '24.a1.f1', '24.b1.b1'], 'contains': ['96.a1.b1'], 'core': '48.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4433, 4433, 4167, 4167, 2555, 2555, 7302, 7302], 'generators': [2], 'label': '192.127.48.a1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.c1', 'normal_contained_in': ['16.a1.c1', '24.a1.f1', '24.a1.e1', '24.b1.b1'], 'normal_contains': ['96.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.c1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010189
{'ambient': '192.127', 'aut_centralizer_order': 256, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.d1', '24.a1.g1', '24.a1.h1', '24.b1.b1'], 'contains': ['96.a1.b1'], 'core': '48.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4433, 4433, 5587, 5587, 2555, 2555, 8744, 8744], 'generators': [102], 'label': '192.127.48.a1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.d1', 'normal_contained_in': ['16.a1.d1', '24.a1.h1', '24.a1.g1', '24.b1.b1'], 'normal_contains': ['96.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.d1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010190
{'ambient': '192.127', 'aut_centralizer_order': 256, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.e1', '24.a1.i1', '24.a1.j1', '24.b1.c1'], 'contains': ['96.a1.c1'], 'core': '48.a1.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [4433, 4433, 2584, 2584, 2555, 2555, 2698, 2698], 'generators': [54], 'label': '192.127.48.a1.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.e1', 'normal_contained_in': ['16.a1.e1', '24.a1.i1', '24.a1.j1', '24.b1.c1'], 'normal_contains': ['96.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.e1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010191
{'ambient': '192.127', 'aut_centralizer_order': 256, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.f1', '24.a1.k1', '24.a1.l1', '24.b1.c1'], 'contains': ['96.a1.c1'], 'core': '48.a1.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [4433, 4433, 1182, 1182, 2555, 2555, 1256, 1256], 'generators': [50], 'label': '192.127.48.a1.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.f1', 'normal_contained_in': ['16.a1.f1', '24.a1.k1', '24.a1.l1', '24.b1.c1'], 'normal_contains': ['96.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.f1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010192
{'ambient': '192.127', 'aut_centralizer_order': 512, 'aut_label': '48.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 512, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.b1.a1', '24.b1.b1', '24.b1.c1'], 'contains': ['96.a1.a1', '96.a1.b1', '96.a1.c1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2938, 2938, 5132, 5132, 4371, 4371, 5095, 5095], 'generators': [4, 96], 'label': '192.127.48.b1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.b1.c1', '24.b1.a1', '24.b1.b1'], 'normal_contains': ['96.a1.a1', '96.a1.c1', '96.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.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.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010193
{'ambient': '192.127', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.c1', '8.a1.d1', '8.b1.a1', '12.a1.b1'], 'core': '4.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3471, 3471, 9076, 9076, 2575, 2575, 4160, 4160], 'generators': [30, 96, 144, 64, 52], 'label': '192.127.4.a1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.d1', '8.a1.c1', '8.b1.a1', '12.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.b1', '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.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010194
{'ambient': '192.127', 'aut_centralizer_order': 1536, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.a1.b1', '32.a1.c1'], 'contains': ['192.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [962, 962, 6192, 6192, 1118, 1118, 4778, 4778], 'generators': [64], 'label': '192.127.64.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1', '32.a1.c1', '32.a1.b1'], 'normal_contains': ['192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '64.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.127', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010195
{'ambient': '192.127', 'aut_centralizer_order': 1024, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3072, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.a1.b1', '48.b1.a1'], 'contains': ['192.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2302, 2302, 6979, 6979, 2555, 2555, 5074, 5074], 'generators': [96], 'label': '192.127.96.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.b1', '48.a1.a1', '48.b1.a1'], 'normal_contains': ['192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '96.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.46', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010196
{'ambient': '192.127', 'aut_centralizer_order': 1024, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3072, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.b1', '48.a1.c1', '48.a1.d1', '48.b1.a1'], 'contains': ['192.a1.a1'], 'core': '96.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2302, 2302, 5587, 5587, 2555, 2555, 6520, 6520], 'generators': [4], 'label': '192.127.96.a1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1.b1', 'normal_contained_in': ['32.a1.b1', '48.a1.c1', '48.a1.d1', '48.b1.a1'], 'normal_contains': ['192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.b1', 'projective_image': '96.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.46', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010197
{'ambient': '192.127', 'aut_centralizer_order': 1024, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3072, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.c1', '48.a1.e1', '48.a1.f1', '48.b1.a1'], 'contains': ['192.a1.a1'], 'core': '96.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2302, 2302, 3289, 3289, 2555, 2555, 3505, 3505], 'generators': [100], 'label': '192.127.96.a1.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1.c1', 'normal_contained_in': ['32.a1.c1', '48.a1.e1', '48.a1.f1', '48.b1.a1'], 'normal_contains': ['192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.c1', 'projective_image': '96.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.46', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010199
{'ambient': '192.127', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1'], 'contains': ['8.a1.e1', '8.a1.f1', '8.b1.b1', '12.a1.c1'], 'core': '4.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3471, 3471, 3981, 3981, 2575, 2575, 7492, 7492], 'generators': [1, 4, 96, 64, 2], 'label': '192.127.4.a1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.c1', 'normal_contained_in': ['2.a1.b1'], 'normal_contains': ['8.a1.f1', '8.a1.e1', '8.b1.b1', '12.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.c1', '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.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 20010200
{'ambient': '192.127', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1'], 'contains': ['8.a1.g1', '8.a1.h1', '8.b1.b1', '12.a1.d1'], 'core': '4.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3471, 3471, 6051, 6051, 2575, 2575, 9032, 9032], 'generators': [51, 4, 96, 64, 102], 'label': '192.127.4.a1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.d1', 'normal_contained_in': ['2.a1.b1'], 'normal_contains': ['8.a1.h1', '8.a1.g1', '8.b1.b1', '12.a1.d1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.d1', '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.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}