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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '48.52', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 1368, 'aut_gen_orders': [18, 36, 12, 36], 'aut_gens': [[1, 2, 4, 24], [914, 915, 630, 1428], [914, 3, 343, 613], [915, 2, 1711, 169], [914, 1, 1783, 75]], 'aut_group': None, 'aut_hash': 3855966899727642962, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3151872, 'aut_permdeg': 43, 'aut_perms': [27045152654412635947874304818570347631530185926784426, 9264361473548237132377597243917277162296051754994858, 48768203933723960961296712864470893577898084551422846, 40923968613020802357102932360784810223951796304016631], 'aut_phi_ratio': 5472.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 6, 1], [3, 19, 1, 2], [4, 2, 12, 1], [6, 19, 1, 2], [6, 19, 6, 2], [12, 38, 12, 2], [19, 3, 6, 1], [38, 3, 6, 1], [38, 3, 36, 1], [76, 6, 72, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^4.C_2^4.C_{57}.C_3.C_9.C_2^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '1536.408640869', 'autcent_hash': 4599629986281706675, 'autcent_nilpotent': False, 'autcent_order': 1536, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^6:S_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 342, 'autcentquo_group': '2052.s', 'autcentquo_hash': 8582295013454683600, 'autcentquo_nilpotent': False, 'autcentquo_order': 2052, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_{19}', 'cc_stats': [[1, 1, 1], [2, 1, 7], [3, 19, 2], [4, 2, 12], [6, 19, 14], [12, 38, 24], [19, 3, 6], [38, 3, 42], [76, 6, 72]], 'center_label': '8.5', 'center_order': 8, 'central_product': True, 'central_quotient': '228.9', 'commutator_count': 1, 'commutator_label': '38.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '19.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1172, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 2], ['57.1', 1], ['8.4', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [3, 19, 2, 1], [4, 2, 1, 12], [6, 19, 2, 7], [12, 38, 2, 12], [19, 3, 6, 1], [38, 3, 6, 7], [76, 6, 6, 12]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1066800, 'exponent': 228, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 3, 19], 'factors_of_order': [2, 3, 19], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '912.214', 'hash': 1172, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 114, 'inner_gen_orders': [1, 1, 6, 38], 'inner_gens': [[1, 2, 4, 24], [1, 2, 4, 24], [1, 2, 4, 264], [1, 2, 1588, 24]], 'inner_hash': 9, 'inner_nilpotent': False, 'inner_order': 228, 'inner_split': False, 'inner_tex': 'C_{38}:C_6', 'inner_used': [3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 48], [2, 12], [3, 96], [6, 24]], 'label': '1824.1172', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C38:C6*Q8', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 16, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 180, 'number_divisions': 60, 'number_normal_subgroups': 234, 'number_subgroup_autclasses': 48, 'number_subgroup_classes': 312, 'number_subgroups': 1716, 'old_label': None, 'order': 1824, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 38], [4, 24], [6, 266], [12, 912], [19, 18], [38, 126], [76, 432]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [12, 6, 12, 12], 'outer_gen_pows': [928, 0, 928, 8], 'outer_gens': [[1, 914, 460, 507], [915, 913, 7, 37], [1, 915, 461, 1322], [2, 1, 5, 699]], 'outer_group': None, 'outer_hash': 550435044931578972, 'outer_nilpotent': False, 'outer_order': 13824, 'outer_permdeg': 17, 'outer_perms': [70888484711550, 90316789567921, 46217467381710, 104640294533088], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^6.C_3^3.C_2^3', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 31, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2, 3], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 20], [4, 4], [18, 16], [36, 4]], 'representations': {'PC': {'code': 110207575440767284697239783223924873212695430361, 'gens': [1, 2, 3, 5], 'pres': [7, -2, -2, -2, -3, -2, -2, -19, 58, 3216, 2328, 4750, 102, 5563, 1790, 124, 12956, 4143]}, 'GLZN': {'d': 2, 'p': 114, 'gens': [2477981, 10370857, 1979801, 54817165, 114078965, 1482229, 1488043]}, 'Perm': {'d': 31, 'gens': [40723327, 40723336, 91245607, 135772696, 9484254333918996587618613350400, 40723320, 283884990592746136614888067200000]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{38}:C_6\\times Q_8', 'transitive_degree': 608, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 134401478
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 1172, 'group_order': 1824, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 134401570
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 1172, 'group_order': 1824, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 914, 'size': 1}
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id: 134401581
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 1172, 'group_order': 1824, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 913, 'size': 1}
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id: 134401592
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 1172, 'group_order': 1824, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 2, 'size': 1}
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id: 134401603
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 1172, 'group_order': 1824, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 1, 'size': 1}
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id: 134401614
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 1172, 'group_order': 1824, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 915, 'size': 1}
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id: 134401625
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 1172, 'group_order': 1824, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 3, 'size': 1}
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id: 134401636
{'aut_label': '2G', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 1172, 'group_order': 1824, 'label': '2G', 'order': 2, 'powers': [1, 8, 8], 'representative': 912, 'size': 1}
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id: 134401647
{'aut_label': '3A1', 'centralizer': '19.a1', 'counter': 9, 'group_counter': 1172, 'group_order': 1824, 'label': '3A1', 'order': 3, 'powers': [10, 1, 9], 'representative': 16, 'size': 19}
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id: 134401479
{'aut_label': '3A-1', 'centralizer': '19.a1', 'counter': 10, 'group_counter': 1172, 'group_order': 1824, 'label': '3A-1', 'order': 3, 'powers': [9, 1, 10], 'representative': 920, 'size': 19}
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id: 134401490
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 11, 'group_counter': 1172, 'group_order': 1824, 'label': '4A', 'order': 4, 'powers': [8, 11, 11], 'representative': 12, 'size': 2}
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id: 134401501
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 12, 'group_counter': 1172, 'group_order': 1824, 'label': '4B', 'order': 4, 'powers': [8, 12, 12], 'representative': 1368, 'size': 2}
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id: 134401512
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 13, 'group_counter': 1172, 'group_order': 1824, 'label': '4C', 'order': 4, 'powers': [8, 13, 13], 'representative': 1380, 'size': 2}
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id: 134401523
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 14, 'group_counter': 1172, 'group_order': 1824, 'label': '4D', 'order': 4, 'powers': [8, 14, 14], 'representative': 14, 'size': 2}
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id: 134401534
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 15, 'group_counter': 1172, 'group_order': 1824, 'label': '4E', 'order': 4, 'powers': [8, 15, 15], 'representative': 13, 'size': 2}
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id: 134401545
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 16, 'group_counter': 1172, 'group_order': 1824, 'label': '4F', 'order': 4, 'powers': [8, 16, 16], 'representative': 1370, 'size': 2}
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id: 134401556
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 17, 'group_counter': 1172, 'group_order': 1824, 'label': '4G', 'order': 4, 'powers': [8, 17, 17], 'representative': 1382, 'size': 2}
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id: 134401567
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 18, 'group_counter': 1172, 'group_order': 1824, 'label': '4H', 'order': 4, 'powers': [8, 18, 18], 'representative': 1369, 'size': 2}
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id: 134401569
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 19, 'group_counter': 1172, 'group_order': 1824, 'label': '4I', 'order': 4, 'powers': [8, 19, 19], 'representative': 1381, 'size': 2}
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id: 134401571
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 20, 'group_counter': 1172, 'group_order': 1824, 'label': '4J', 'order': 4, 'powers': [8, 20, 20], 'representative': 15, 'size': 2}
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id: 134401572
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 21, 'group_counter': 1172, 'group_order': 1824, 'label': '4K', 'order': 4, 'powers': [8, 21, 21], 'representative': 1371, 'size': 2}
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id: 134401573
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 22, 'group_counter': 1172, 'group_order': 1824, 'label': '4L', 'order': 4, 'powers': [8, 22, 22], 'representative': 1383, 'size': 2}
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id: 134401574
{'aut_label': '6A1', 'centralizer': '19.a1', 'counter': 23, 'group_counter': 1172, 'group_order': 1824, 'label': '6A1', 'order': 6, 'powers': [9, 2, 23], 'representative': 10, 'size': 19}
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id: 134401575
{'aut_label': '6A-1', 'centralizer': '19.a1', 'counter': 24, 'group_counter': 1172, 'group_order': 1824, 'label': '6A-1', 'order': 6, 'powers': [10, 2, 24], 'representative': 66, 'size': 19}
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id: 134401576
{'aut_label': '6A1', 'centralizer': '19.a1', 'counter': 25, 'group_counter': 1172, 'group_order': 1824, 'label': '6B1', 'order': 6, 'powers': [9, 3, 25], 'representative': 9, 'size': 19}
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id: 134401577
{'aut_label': '6A-1', 'centralizer': '19.a1', 'counter': 26, 'group_counter': 1172, 'group_order': 1824, 'label': '6B-1', 'order': 6, 'powers': [10, 3, 26], 'representative': 65, 'size': 19}
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id: 134401578
{'aut_label': '6A-1', 'centralizer': '19.a1', 'counter': 27, 'group_counter': 1172, 'group_order': 1824, 'label': '6C1', 'order': 6, 'powers': [10, 4, 27], 'representative': 18, 'size': 19}
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id: 134401579
{'aut_label': '6A1', 'centralizer': '19.a1', 'counter': 28, 'group_counter': 1172, 'group_order': 1824, 'label': '6C-1', 'order': 6, 'powers': [9, 4, 28], 'representative': 58, 'size': 19}
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id: 134401580
{'aut_label': '6A-1', 'centralizer': '19.a1', 'counter': 29, 'group_counter': 1172, 'group_order': 1824, 'label': '6D1', 'order': 6, 'powers': [10, 5, 29], 'representative': 17, 'size': 19}
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id: 134401582
{'aut_label': '6A1', 'centralizer': '19.a1', 'counter': 30, 'group_counter': 1172, 'group_order': 1824, 'label': '6D-1', 'order': 6, 'powers': [9, 5, 30], 'representative': 57, 'size': 19}
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id: 134401583
{'aut_label': '6A1', 'centralizer': '19.a1', 'counter': 31, 'group_counter': 1172, 'group_order': 1824, 'label': '6E1', 'order': 6, 'powers': [9, 6, 31], 'representative': 11, 'size': 19}
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id: 134401584
{'aut_label': '6A-1', 'centralizer': '19.a1', 'counter': 32, 'group_counter': 1172, 'group_order': 1824, 'label': '6E-1', 'order': 6, 'powers': [10, 6, 32], 'representative': 67, 'size': 19}
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id: 134401585
{'aut_label': '6A-1', 'centralizer': '19.a1', 'counter': 33, 'group_counter': 1172, 'group_order': 1824, 'label': '6F1', 'order': 6, 'powers': [10, 7, 33], 'representative': 19, 'size': 19}
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id: 134401586
{'aut_label': '6A1', 'centralizer': '19.a1', 'counter': 34, 'group_counter': 1172, 'group_order': 1824, 'label': '6F-1', 'order': 6, 'powers': [9, 7, 34], 'representative': 59, 'size': 19}
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id: 134401587
{'aut_label': '6G1', 'centralizer': '19.a1', 'counter': 35, 'group_counter': 1172, 'group_order': 1824, 'label': '6G1', 'order': 6, 'powers': [9, 8, 35], 'representative': 8, 'size': 19}
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id: 134401588
{'aut_label': '6G-1', 'centralizer': '19.a1', 'counter': 36, 'group_counter': 1172, 'group_order': 1824, 'label': '6G-1', 'order': 6, 'powers': [10, 8, 36], 'representative': 928, 'size': 19}
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id: 134401589
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 37, 'group_counter': 1172, 'group_order': 1824, 'label': '12A1', 'order': 12, 'powers': [35, 11, 37], 'representative': 4, 'size': 38}
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id: 134401590
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 38, 'group_counter': 1172, 'group_order': 1824, 'label': '12A-1', 'order': 12, 'powers': [36, 11, 38], 'representative': 20, 'size': 38}
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id: 134401591
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 39, 'group_counter': 1172, 'group_order': 1824, 'label': '12B1', 'order': 12, 'powers': [36, 12, 39], 'representative': 32, 'size': 38}
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id: 134401593
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 40, 'group_counter': 1172, 'group_order': 1824, 'label': '12B-1', 'order': 12, 'powers': [35, 12, 40], 'representative': 40, 'size': 38}
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id: 134401594
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 41, 'group_counter': 1172, 'group_order': 1824, 'label': '12C1', 'order': 12, 'powers': [35, 13, 41], 'representative': 28, 'size': 38}
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id: 134401595
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 42, 'group_counter': 1172, 'group_order': 1824, 'label': '12C-1', 'order': 12, 'powers': [36, 13, 42], 'representative': 44, 'size': 38}
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id: 134401596
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 43, 'group_counter': 1172, 'group_order': 1824, 'label': '12D1', 'order': 12, 'powers': [35, 14, 43], 'representative': 6, 'size': 38}
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id: 134401597
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 44, 'group_counter': 1172, 'group_order': 1824, 'label': '12D-1', 'order': 12, 'powers': [36, 14, 44], 'representative': 22, 'size': 38}
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id: 134401598
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 45, 'group_counter': 1172, 'group_order': 1824, 'label': '12E1', 'order': 12, 'powers': [35, 15, 45], 'representative': 5, 'size': 38}
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id: 134401599
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 46, 'group_counter': 1172, 'group_order': 1824, 'label': '12E-1', 'order': 12, 'powers': [36, 15, 46], 'representative': 21, 'size': 38}
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id: 134401600
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 47, 'group_counter': 1172, 'group_order': 1824, 'label': '12F1', 'order': 12, 'powers': [36, 16, 47], 'representative': 34, 'size': 38}
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id: 134401601
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 48, 'group_counter': 1172, 'group_order': 1824, 'label': '12F-1', 'order': 12, 'powers': [35, 16, 48], 'representative': 42, 'size': 38}
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id: 134401602
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 49, 'group_counter': 1172, 'group_order': 1824, 'label': '12G1', 'order': 12, 'powers': [35, 17, 49], 'representative': 30, 'size': 38}
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id: 134401604
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 50, 'group_counter': 1172, 'group_order': 1824, 'label': '12G-1', 'order': 12, 'powers': [36, 17, 50], 'representative': 46, 'size': 38}
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id: 134401605
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 51, 'group_counter': 1172, 'group_order': 1824, 'label': '12H1', 'order': 12, 'powers': [36, 18, 51], 'representative': 33, 'size': 38}
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id: 134401606
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 52, 'group_counter': 1172, 'group_order': 1824, 'label': '12H-1', 'order': 12, 'powers': [35, 18, 52], 'representative': 41, 'size': 38}
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id: 134401607
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 53, 'group_counter': 1172, 'group_order': 1824, 'label': '12I1', 'order': 12, 'powers': [35, 19, 53], 'representative': 29, 'size': 38}
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id: 134401608
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 54, 'group_counter': 1172, 'group_order': 1824, 'label': '12I-1', 'order': 12, 'powers': [36, 19, 54], 'representative': 45, 'size': 38}
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id: 134401609
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 55, 'group_counter': 1172, 'group_order': 1824, 'label': '12J1', 'order': 12, 'powers': [35, 20, 55], 'representative': 7, 'size': 38}
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id: 134401610
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 56, 'group_counter': 1172, 'group_order': 1824, 'label': '12J-1', 'order': 12, 'powers': [36, 20, 56], 'representative': 23, 'size': 38}
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id: 134401611
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 57, 'group_counter': 1172, 'group_order': 1824, 'label': '12K1', 'order': 12, 'powers': [36, 21, 57], 'representative': 35, 'size': 38}
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id: 134401612
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 58, 'group_counter': 1172, 'group_order': 1824, 'label': '12K-1', 'order': 12, 'powers': [35, 21, 58], 'representative': 43, 'size': 38}
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id: 134401613
{'aut_label': '12A1', 'centralizer': '38.b1', 'counter': 59, 'group_counter': 1172, 'group_order': 1824, 'label': '12L1', 'order': 12, 'powers': [35, 22, 59], 'representative': 31, 'size': 38}
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id: 134401615
{'aut_label': '12A-1', 'centralizer': '38.b1', 'counter': 60, 'group_counter': 1172, 'group_order': 1824, 'label': '12L-1', 'order': 12, 'powers': [36, 22, 60], 'representative': 47, 'size': 38}
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id: 134401616
{'aut_label': '19A1', 'centralizer': '3.a1', 'counter': 61, 'group_counter': 1172, 'group_order': 1824, 'label': '19A1', 'order': 19, 'powers': [63, 63, 1], 'representative': 192, 'size': 3}
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id: 134401617
{'aut_label': '19A1', 'centralizer': '3.a1', 'counter': 62, 'group_counter': 1172, 'group_order': 1824, 'label': '19A-1', 'order': 19, 'powers': [64, 64, 1], 'representative': 1632, 'size': 3}
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id: 134401618
{'aut_label': '19A1', 'centralizer': '3.a1', 'counter': 63, 'group_counter': 1172, 'group_order': 1824, 'label': '19A2', 'order': 19, 'powers': [65, 65, 1], 'representative': 384, 'size': 3}
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id: 134401619
{'aut_label': '19A1', 'centralizer': '3.a1', 'counter': 64, 'group_counter': 1172, 'group_order': 1824, 'label': '19A-2', 'order': 19, 'powers': [66, 66, 1], 'representative': 1440, 'size': 3}
-
id: 134401620
{'aut_label': '19A1', 'centralizer': '3.a1', 'counter': 65, 'group_counter': 1172, 'group_order': 1824, 'label': '19A4', 'order': 19, 'powers': [62, 62, 1], 'representative': 768, 'size': 3}
-
id: 134401621
{'aut_label': '19A1', 'centralizer': '3.a1', 'counter': 66, 'group_counter': 1172, 'group_order': 1824, 'label': '19A-4', 'order': 19, 'powers': [61, 61, 1], 'representative': 1056, 'size': 3}
-
id: 134401622
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 67, 'group_counter': 1172, 'group_order': 1824, 'label': '38A1', 'order': 38, 'powers': [61, 69, 4], 'representative': 98, 'size': 3}
-
id: 134401623
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 68, 'group_counter': 1172, 'group_order': 1824, 'label': '38A-1', 'order': 38, 'powers': [62, 70, 4], 'representative': 770, 'size': 3}
-
id: 134401624
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 69, 'group_counter': 1172, 'group_order': 1824, 'label': '38A3', 'order': 38, 'powers': [63, 71, 4], 'representative': 194, 'size': 3}
-
id: 134401626
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 70, 'group_counter': 1172, 'group_order': 1824, 'label': '38A-3', 'order': 38, 'powers': [64, 72, 4], 'representative': 482, 'size': 3}
-
id: 134401627
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 71, 'group_counter': 1172, 'group_order': 1824, 'label': '38A9', 'order': 38, 'powers': [65, 68, 4], 'representative': 386, 'size': 3}
-
id: 134401628
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 72, 'group_counter': 1172, 'group_order': 1824, 'label': '38A-9', 'order': 38, 'powers': [66, 67, 4], 'representative': 962, 'size': 3}
-
id: 134401629
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 73, 'group_counter': 1172, 'group_order': 1824, 'label': '38B1', 'order': 38, 'powers': [66, 75, 2], 'representative': 50, 'size': 3}
-
id: 134401630
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 74, 'group_counter': 1172, 'group_order': 1824, 'label': '38B-1', 'order': 38, 'powers': [65, 76, 2], 'representative': 1298, 'size': 3}
-
id: 134401631
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 75, 'group_counter': 1172, 'group_order': 1824, 'label': '38B3', 'order': 38, 'powers': [61, 77, 2], 'representative': 146, 'size': 3}
-
id: 134401632
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 76, 'group_counter': 1172, 'group_order': 1824, 'label': '38B-3', 'order': 38, 'powers': [62, 78, 2], 'representative': 242, 'size': 3}
-
id: 134401633
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 77, 'group_counter': 1172, 'group_order': 1824, 'label': '38B9', 'order': 38, 'powers': [63, 74, 2], 'representative': 434, 'size': 3}
-
id: 134401634
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 78, 'group_counter': 1172, 'group_order': 1824, 'label': '38B-9', 'order': 38, 'powers': [64, 73, 2], 'representative': 626, 'size': 3}
-
id: 134401635
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 79, 'group_counter': 1172, 'group_order': 1824, 'label': '38C1', 'order': 38, 'powers': [61, 81, 5], 'representative': 97, 'size': 3}
-
id: 134401637
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 80, 'group_counter': 1172, 'group_order': 1824, 'label': '38C-1', 'order': 38, 'powers': [62, 82, 5], 'representative': 769, 'size': 3}
-
id: 134401638
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 81, 'group_counter': 1172, 'group_order': 1824, 'label': '38C3', 'order': 38, 'powers': [63, 83, 5], 'representative': 193, 'size': 3}
-
id: 134401639
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 82, 'group_counter': 1172, 'group_order': 1824, 'label': '38C-3', 'order': 38, 'powers': [64, 84, 5], 'representative': 481, 'size': 3}
-
id: 134401640
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 83, 'group_counter': 1172, 'group_order': 1824, 'label': '38C9', 'order': 38, 'powers': [65, 80, 5], 'representative': 385, 'size': 3}
-
id: 134401641
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 84, 'group_counter': 1172, 'group_order': 1824, 'label': '38C-9', 'order': 38, 'powers': [66, 79, 5], 'representative': 961, 'size': 3}
-
id: 134401642
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 85, 'group_counter': 1172, 'group_order': 1824, 'label': '38D1', 'order': 38, 'powers': [66, 87, 3], 'representative': 49, 'size': 3}
-
id: 134401643
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 86, 'group_counter': 1172, 'group_order': 1824, 'label': '38D-1', 'order': 38, 'powers': [65, 88, 3], 'representative': 1297, 'size': 3}
-
id: 134401644
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 87, 'group_counter': 1172, 'group_order': 1824, 'label': '38D3', 'order': 38, 'powers': [61, 89, 3], 'representative': 145, 'size': 3}
-
id: 134401645
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 88, 'group_counter': 1172, 'group_order': 1824, 'label': '38D-3', 'order': 38, 'powers': [62, 90, 3], 'representative': 241, 'size': 3}
-
id: 134401646
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 89, 'group_counter': 1172, 'group_order': 1824, 'label': '38D9', 'order': 38, 'powers': [63, 86, 3], 'representative': 433, 'size': 3}
-
id: 134401648
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 90, 'group_counter': 1172, 'group_order': 1824, 'label': '38D-9', 'order': 38, 'powers': [64, 85, 3], 'representative': 625, 'size': 3}
-
id: 134401649
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 91, 'group_counter': 1172, 'group_order': 1824, 'label': '38E1', 'order': 38, 'powers': [61, 93, 7], 'representative': 99, 'size': 3}
-
id: 134401650
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 92, 'group_counter': 1172, 'group_order': 1824, 'label': '38E-1', 'order': 38, 'powers': [62, 94, 7], 'representative': 771, 'size': 3}
-
id: 134401651
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 93, 'group_counter': 1172, 'group_order': 1824, 'label': '38E3', 'order': 38, 'powers': [63, 95, 7], 'representative': 195, 'size': 3}
-
id: 134401652
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 94, 'group_counter': 1172, 'group_order': 1824, 'label': '38E-3', 'order': 38, 'powers': [64, 96, 7], 'representative': 483, 'size': 3}
-
id: 134401653
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 95, 'group_counter': 1172, 'group_order': 1824, 'label': '38E9', 'order': 38, 'powers': [65, 92, 7], 'representative': 387, 'size': 3}
-
id: 134401654
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 96, 'group_counter': 1172, 'group_order': 1824, 'label': '38E-9', 'order': 38, 'powers': [66, 91, 7], 'representative': 963, 'size': 3}
-
id: 134401655
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 97, 'group_counter': 1172, 'group_order': 1824, 'label': '38F1', 'order': 38, 'powers': [66, 99, 6], 'representative': 51, 'size': 3}
-
id: 134401656
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 98, 'group_counter': 1172, 'group_order': 1824, 'label': '38F-1', 'order': 38, 'powers': [65, 100, 6], 'representative': 1299, 'size': 3}
-
id: 134401657
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 99, 'group_counter': 1172, 'group_order': 1824, 'label': '38F3', 'order': 38, 'powers': [61, 101, 6], 'representative': 147, 'size': 3}
-
id: 134401480
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 100, 'group_counter': 1172, 'group_order': 1824, 'label': '38F-3', 'order': 38, 'powers': [62, 102, 6], 'representative': 243, 'size': 3}
-
id: 134401481
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 101, 'group_counter': 1172, 'group_order': 1824, 'label': '38F9', 'order': 38, 'powers': [63, 98, 6], 'representative': 435, 'size': 3}
-
id: 134401482
{'aut_label': '38A1', 'centralizer': '3.a1', 'counter': 102, 'group_counter': 1172, 'group_order': 1824, 'label': '38F-9', 'order': 38, 'powers': [64, 97, 6], 'representative': 627, 'size': 3}
-
id: 134401483
{'aut_label': '38G1', 'centralizer': '3.a1', 'counter': 103, 'group_counter': 1172, 'group_order': 1824, 'label': '38G1', 'order': 38, 'powers': [66, 105, 8], 'representative': 48, 'size': 3}
-
id: 134401484
{'aut_label': '38G1', 'centralizer': '3.a1', 'counter': 104, 'group_counter': 1172, 'group_order': 1824, 'label': '38G-1', 'order': 38, 'powers': [65, 106, 8], 'representative': 1776, 'size': 3}
-
id: 134401485
{'aut_label': '38G1', 'centralizer': '3.a1', 'counter': 105, 'group_counter': 1172, 'group_order': 1824, 'label': '38G3', 'order': 38, 'powers': [61, 107, 8], 'representative': 144, 'size': 3}
-
id: 134401486
{'aut_label': '38G1', 'centralizer': '3.a1', 'counter': 106, 'group_counter': 1172, 'group_order': 1824, 'label': '38G-3', 'order': 38, 'powers': [62, 108, 8], 'representative': 1680, 'size': 3}
-
id: 134401487
{'aut_label': '38G1', 'centralizer': '3.a1', 'counter': 107, 'group_counter': 1172, 'group_order': 1824, 'label': '38G9', 'order': 38, 'powers': [63, 104, 8], 'representative': 432, 'size': 3}
-
id: 134401488
{'aut_label': '38G1', 'centralizer': '3.a1', 'counter': 108, 'group_counter': 1172, 'group_order': 1824, 'label': '38G-9', 'order': 38, 'powers': [64, 103, 8], 'representative': 1392, 'size': 3}
-
id: 134401489
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 109, 'group_counter': 1172, 'group_order': 1824, 'label': '76A1', 'order': 76, 'powers': [103, 111, 12], 'representative': 24, 'size': 6}
-
id: 134401491
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 110, 'group_counter': 1172, 'group_order': 1824, 'label': '76A-1', 'order': 76, 'powers': [104, 112, 12], 'representative': 888, 'size': 6}
-
id: 134401492
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 111, 'group_counter': 1172, 'group_order': 1824, 'label': '76A3', 'order': 76, 'powers': [105, 113, 12], 'representative': 72, 'size': 6}
-
id: 134401493
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 112, 'group_counter': 1172, 'group_order': 1824, 'label': '76A-3', 'order': 76, 'powers': [106, 114, 12], 'representative': 120, 'size': 6}
-
id: 134401494
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 113, 'group_counter': 1172, 'group_order': 1824, 'label': '76A9', 'order': 76, 'powers': [107, 110, 12], 'representative': 216, 'size': 6}
-
id: 134401495
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 114, 'group_counter': 1172, 'group_order': 1824, 'label': '76A-9', 'order': 76, 'powers': [108, 109, 12], 'representative': 312, 'size': 6}
-
id: 134401496
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 115, 'group_counter': 1172, 'group_order': 1824, 'label': '76B1', 'order': 76, 'powers': [103, 117, 16], 'representative': 26, 'size': 6}
-
id: 134401497
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 116, 'group_counter': 1172, 'group_order': 1824, 'label': '76B-1', 'order': 76, 'powers': [104, 118, 16], 'representative': 890, 'size': 6}
-
id: 134401498
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 117, 'group_counter': 1172, 'group_order': 1824, 'label': '76B3', 'order': 76, 'powers': [105, 119, 16], 'representative': 74, 'size': 6}
-
id: 134401499
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 118, 'group_counter': 1172, 'group_order': 1824, 'label': '76B-3', 'order': 76, 'powers': [106, 120, 16], 'representative': 122, 'size': 6}
-
id: 134401500
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 119, 'group_counter': 1172, 'group_order': 1824, 'label': '76B9', 'order': 76, 'powers': [107, 116, 16], 'representative': 218, 'size': 6}
-
id: 134401502
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 120, 'group_counter': 1172, 'group_order': 1824, 'label': '76B-9', 'order': 76, 'powers': [108, 115, 16], 'representative': 314, 'size': 6}
-
id: 134401503
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 121, 'group_counter': 1172, 'group_order': 1824, 'label': '76C1', 'order': 76, 'powers': [103, 123, 18], 'representative': 25, 'size': 6}
-
id: 134401504
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 122, 'group_counter': 1172, 'group_order': 1824, 'label': '76C-1', 'order': 76, 'powers': [104, 124, 18], 'representative': 889, 'size': 6}
-
id: 134401505
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 123, 'group_counter': 1172, 'group_order': 1824, 'label': '76C3', 'order': 76, 'powers': [105, 125, 18], 'representative': 73, 'size': 6}
-
id: 134401506
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 124, 'group_counter': 1172, 'group_order': 1824, 'label': '76C-3', 'order': 76, 'powers': [106, 126, 18], 'representative': 121, 'size': 6}
-
id: 134401507
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 125, 'group_counter': 1172, 'group_order': 1824, 'label': '76C9', 'order': 76, 'powers': [107, 122, 18], 'representative': 217, 'size': 6}
-
id: 134401508
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 126, 'group_counter': 1172, 'group_order': 1824, 'label': '76C-9', 'order': 76, 'powers': [108, 121, 18], 'representative': 313, 'size': 6}
-
id: 134401509
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 127, 'group_counter': 1172, 'group_order': 1824, 'label': '76D1', 'order': 76, 'powers': [107, 129, 11], 'representative': 108, 'size': 6}
-
id: 134401510
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 128, 'group_counter': 1172, 'group_order': 1824, 'label': '76D-1', 'order': 76, 'powers': [108, 130, 11], 'representative': 780, 'size': 6}
-
id: 134401511
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 129, 'group_counter': 1172, 'group_order': 1824, 'label': '76D3', 'order': 76, 'powers': [104, 131, 11], 'representative': 204, 'size': 6}
-
id: 134401513
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 130, 'group_counter': 1172, 'group_order': 1824, 'label': '76D-3', 'order': 76, 'powers': [103, 132, 11], 'representative': 492, 'size': 6}
-
id: 134401514
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 131, 'group_counter': 1172, 'group_order': 1824, 'label': '76D9', 'order': 76, 'powers': [106, 128, 11], 'representative': 396, 'size': 6}
-
id: 134401515
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 132, 'group_counter': 1172, 'group_order': 1824, 'label': '76D-9', 'order': 76, 'powers': [105, 127, 11], 'representative': 60, 'size': 6}
-
id: 134401516
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 133, 'group_counter': 1172, 'group_order': 1824, 'label': '76E1', 'order': 76, 'powers': [103, 135, 13], 'representative': 36, 'size': 6}
-
id: 134401517
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 134, 'group_counter': 1172, 'group_order': 1824, 'label': '76E-1', 'order': 76, 'powers': [104, 136, 13], 'representative': 900, 'size': 6}
-
id: 134401518
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 135, 'group_counter': 1172, 'group_order': 1824, 'label': '76E3', 'order': 76, 'powers': [105, 137, 13], 'representative': 84, 'size': 6}
-
id: 134401519
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 136, 'group_counter': 1172, 'group_order': 1824, 'label': '76E-3', 'order': 76, 'powers': [106, 138, 13], 'representative': 132, 'size': 6}
-
id: 134401520
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 137, 'group_counter': 1172, 'group_order': 1824, 'label': '76E9', 'order': 76, 'powers': [107, 134, 13], 'representative': 228, 'size': 6}
-
id: 134401521
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 138, 'group_counter': 1172, 'group_order': 1824, 'label': '76E-9', 'order': 76, 'powers': [108, 133, 13], 'representative': 324, 'size': 6}
-
id: 134401522
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 139, 'group_counter': 1172, 'group_order': 1824, 'label': '76F1', 'order': 76, 'powers': [103, 141, 21], 'representative': 27, 'size': 6}
-
id: 134401524
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 140, 'group_counter': 1172, 'group_order': 1824, 'label': '76F-1', 'order': 76, 'powers': [104, 142, 21], 'representative': 891, 'size': 6}
-
id: 134401525
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 141, 'group_counter': 1172, 'group_order': 1824, 'label': '76F3', 'order': 76, 'powers': [105, 143, 21], 'representative': 75, 'size': 6}
-
id: 134401526
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 142, 'group_counter': 1172, 'group_order': 1824, 'label': '76F-3', 'order': 76, 'powers': [106, 144, 21], 'representative': 123, 'size': 6}
-
id: 134401527
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 143, 'group_counter': 1172, 'group_order': 1824, 'label': '76F9', 'order': 76, 'powers': [107, 140, 21], 'representative': 219, 'size': 6}
-
id: 134401528
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 144, 'group_counter': 1172, 'group_order': 1824, 'label': '76F-9', 'order': 76, 'powers': [108, 139, 21], 'representative': 315, 'size': 6}
-
id: 134401529
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 145, 'group_counter': 1172, 'group_order': 1824, 'label': '76G1', 'order': 76, 'powers': [107, 147, 14], 'representative': 110, 'size': 6}
-
id: 134401530
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 146, 'group_counter': 1172, 'group_order': 1824, 'label': '76G-1', 'order': 76, 'powers': [108, 148, 14], 'representative': 782, 'size': 6}
-
id: 134401531
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 147, 'group_counter': 1172, 'group_order': 1824, 'label': '76G3', 'order': 76, 'powers': [104, 149, 14], 'representative': 206, 'size': 6}
-
id: 134401532
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 148, 'group_counter': 1172, 'group_order': 1824, 'label': '76G-3', 'order': 76, 'powers': [103, 150, 14], 'representative': 494, 'size': 6}
-
id: 134401533
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 149, 'group_counter': 1172, 'group_order': 1824, 'label': '76G9', 'order': 76, 'powers': [106, 146, 14], 'representative': 398, 'size': 6}
-
id: 134401535
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 150, 'group_counter': 1172, 'group_order': 1824, 'label': '76G-9', 'order': 76, 'powers': [105, 145, 14], 'representative': 62, 'size': 6}
-
id: 134401536
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 151, 'group_counter': 1172, 'group_order': 1824, 'label': '76H1', 'order': 76, 'powers': [103, 153, 17], 'representative': 38, 'size': 6}
-
id: 134401537
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 152, 'group_counter': 1172, 'group_order': 1824, 'label': '76H-1', 'order': 76, 'powers': [104, 154, 17], 'representative': 902, 'size': 6}
-
id: 134401538
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 153, 'group_counter': 1172, 'group_order': 1824, 'label': '76H3', 'order': 76, 'powers': [105, 155, 17], 'representative': 86, 'size': 6}
-
id: 134401539
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 154, 'group_counter': 1172, 'group_order': 1824, 'label': '76H-3', 'order': 76, 'powers': [106, 156, 17], 'representative': 134, 'size': 6}
-
id: 134401540
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 155, 'group_counter': 1172, 'group_order': 1824, 'label': '76H9', 'order': 76, 'powers': [107, 152, 17], 'representative': 230, 'size': 6}
-
id: 134401541
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 156, 'group_counter': 1172, 'group_order': 1824, 'label': '76H-9', 'order': 76, 'powers': [108, 151, 17], 'representative': 326, 'size': 6}
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id: 134401542
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 157, 'group_counter': 1172, 'group_order': 1824, 'label': '76I1', 'order': 76, 'powers': [107, 159, 15], 'representative': 109, 'size': 6}
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id: 134401543
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 158, 'group_counter': 1172, 'group_order': 1824, 'label': '76I-1', 'order': 76, 'powers': [108, 160, 15], 'representative': 781, 'size': 6}
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id: 134401544
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 159, 'group_counter': 1172, 'group_order': 1824, 'label': '76I3', 'order': 76, 'powers': [104, 161, 15], 'representative': 205, 'size': 6}
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id: 134401546
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 160, 'group_counter': 1172, 'group_order': 1824, 'label': '76I-3', 'order': 76, 'powers': [103, 162, 15], 'representative': 493, 'size': 6}
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id: 134401547
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 161, 'group_counter': 1172, 'group_order': 1824, 'label': '76I9', 'order': 76, 'powers': [106, 158, 15], 'representative': 397, 'size': 6}
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id: 134401548
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 162, 'group_counter': 1172, 'group_order': 1824, 'label': '76I-9', 'order': 76, 'powers': [105, 157, 15], 'representative': 61, 'size': 6}
-
id: 134401549
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 163, 'group_counter': 1172, 'group_order': 1824, 'label': '76J1', 'order': 76, 'powers': [103, 165, 19], 'representative': 37, 'size': 6}
-
id: 134401550
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 164, 'group_counter': 1172, 'group_order': 1824, 'label': '76J-1', 'order': 76, 'powers': [104, 166, 19], 'representative': 901, 'size': 6}
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id: 134401551
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 165, 'group_counter': 1172, 'group_order': 1824, 'label': '76J3', 'order': 76, 'powers': [105, 167, 19], 'representative': 85, 'size': 6}
-
id: 134401552
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 166, 'group_counter': 1172, 'group_order': 1824, 'label': '76J-3', 'order': 76, 'powers': [106, 168, 19], 'representative': 133, 'size': 6}
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id: 134401553
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 167, 'group_counter': 1172, 'group_order': 1824, 'label': '76J9', 'order': 76, 'powers': [107, 164, 19], 'representative': 229, 'size': 6}
-
id: 134401554
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 168, 'group_counter': 1172, 'group_order': 1824, 'label': '76J-9', 'order': 76, 'powers': [108, 163, 19], 'representative': 325, 'size': 6}
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id: 134401555
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 169, 'group_counter': 1172, 'group_order': 1824, 'label': '76K1', 'order': 76, 'powers': [107, 171, 20], 'representative': 111, 'size': 6}
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id: 134401557
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 170, 'group_counter': 1172, 'group_order': 1824, 'label': '76K-1', 'order': 76, 'powers': [108, 172, 20], 'representative': 783, 'size': 6}
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id: 134401558
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 171, 'group_counter': 1172, 'group_order': 1824, 'label': '76K3', 'order': 76, 'powers': [104, 173, 20], 'representative': 207, 'size': 6}
-
id: 134401559
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 172, 'group_counter': 1172, 'group_order': 1824, 'label': '76K-3', 'order': 76, 'powers': [103, 174, 20], 'representative': 495, 'size': 6}
-
id: 134401560
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 173, 'group_counter': 1172, 'group_order': 1824, 'label': '76K9', 'order': 76, 'powers': [106, 170, 20], 'representative': 399, 'size': 6}
-
id: 134401561
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 174, 'group_counter': 1172, 'group_order': 1824, 'label': '76K-9', 'order': 76, 'powers': [105, 169, 20], 'representative': 63, 'size': 6}
-
id: 134401562
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 175, 'group_counter': 1172, 'group_order': 1824, 'label': '76L1', 'order': 76, 'powers': [103, 177, 22], 'representative': 39, 'size': 6}
-
id: 134401563
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 176, 'group_counter': 1172, 'group_order': 1824, 'label': '76L-1', 'order': 76, 'powers': [104, 178, 22], 'representative': 903, 'size': 6}
-
id: 134401564
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 177, 'group_counter': 1172, 'group_order': 1824, 'label': '76L3', 'order': 76, 'powers': [105, 179, 22], 'representative': 87, 'size': 6}
-
id: 134401565
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 178, 'group_counter': 1172, 'group_order': 1824, 'label': '76L-3', 'order': 76, 'powers': [106, 180, 22], 'representative': 135, 'size': 6}
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id: 134401566
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 179, 'group_counter': 1172, 'group_order': 1824, 'label': '76L9', 'order': 76, 'powers': [107, 176, 22], 'representative': 231, 'size': 6}
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id: 134401568
{'aut_label': '76A1', 'centralizer': '6.b1', 'counter': 180, 'group_counter': 1172, 'group_order': 1824, 'label': '76L-9', 'order': 76, 'powers': [108, 175, 22], 'representative': 327, 'size': 6}
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gps_qchar • Show schema
Hide schema
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id: 11783912
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1a', '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], 'schur_index': 1}
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id: 11783923
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1b', '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], 'schur_index': 1}
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id: 11783934
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1c', '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], 'schur_index': 1}
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id: 11783945
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1d', '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], 'schur_index': 1}
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id: 11783956
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -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: 11783967
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -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: 11783969
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -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: 11783970
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 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: 11783971
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1i', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 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: 11783913
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1j', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 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: 11783914
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1k', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 11783915
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1l', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -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: 11783916
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1m', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 11783917
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1n', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -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: 11783918
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1o', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 11783919
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1p', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 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: 11783920
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1q', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
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id: 11783921
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, -2, -1, -1, -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, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
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id: 11783922
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1s', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, -2, -1, -1, -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, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2], 'schur_index': 1}
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id: 11783924
{'cdim': 1, 'counter': 20, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1t', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, -2, -1, -1, 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, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2], 'schur_index': 1}
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id: 11783925
{'cdim': 1, 'counter': 21, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1u', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, -2, -1, -1, 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, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2], 'schur_index': 1}
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id: 11783926
{'cdim': 1, 'counter': 22, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1v', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, 2, -1, -1, -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, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2], 'schur_index': 1}
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id: 11783927
{'cdim': 1, 'counter': 23, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1w', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, 2, -1, -1, -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, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2], 'schur_index': 1}
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id: 11783928
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1x', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, 2, -1, -1, 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, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
-
id: 11783929
{'cdim': 1, 'counter': 25, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1y', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, 2, -1, -1, 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, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2], 'schur_index': 1}
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id: 11783930
{'cdim': 1, 'counter': 26, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1z', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, 2, -2, -2, -1, -1, -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, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2], 'schur_index': 1}
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id: 11783931
{'cdim': 1, 'counter': 27, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1aa', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, 2, -2, -2, -1, -1, -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, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
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id: 11783932
{'cdim': 1, 'counter': 28, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1ab', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, 2, -2, -2, -1, -1, 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, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2], 'schur_index': 1}
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id: 11783933
{'cdim': 1, 'counter': 29, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1ac', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, 2, -2, -2, -1, -1, 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, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2], 'schur_index': 1}
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id: 11783935
{'cdim': 1, 'counter': 30, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1ad', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2], 'schur_index': 1}
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id: 11783936
{'cdim': 1, 'counter': 31, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1ae', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2], 'schur_index': 1}
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id: 11783937
{'cdim': 1, 'counter': 32, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.1af', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2], 'schur_index': 1}
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id: 11783938
{'cdim': 2, 'counter': 33, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.2a', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
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id: 11783939
{'cdim': 2, 'counter': 34, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.2b', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
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id: 11783940
{'cdim': 2, 'counter': 35, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.2c', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
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id: 11783941
{'cdim': 2, 'counter': 36, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.2d', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
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id: 11783942
{'cdim': 2, 'counter': 37, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.2e', 'multiplicity': 2, 'nt': [24, 4], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, 4, -4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 11783943
{'cdim': 2, 'counter': 38, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.2f', 'multiplicity': 2, 'nt': [24, 4], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -4, 4, 4, -4, -4, -4, 4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, 4, -4, 4, 4, -4, 4, 4, -4, -4, 4, -4, -4, 4, 4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 11783944
{'cdim': 2, 'counter': 39, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.2g', 'multiplicity': 2, 'nt': [24, 4], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, -4, 4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, -4, -4, 4, -4, -4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, -4, -4, -4, -4, 4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 11783946
{'cdim': 2, 'counter': 40, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.2h', 'multiplicity': 2, 'nt': [24, 4], 'qdim': 4, 'qvalues': [4, -4, 4, 4, 4, -4, -4, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, -4, 4, 4, 4, 4, -4, 4, 4, -4, 4, -4, 4, 4, -4, -4, 4, -4, -4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 11783947
{'cdim': 3, 'counter': 41, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3a', 'multiplicity': 6, 'nt': [19, 3], 'qdim': 18, 'qvalues': [18, 18, 18, 18, 18, 18, 18, 18, 0, 0, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 11783948
{'cdim': 3, 'counter': 42, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3b', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, -18, -18, 18, -18, 18, -18, 0, 0, -18, -18, 18, -18, 18, 18, -18, 18, 18, 18, -18, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -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: 11783949
{'cdim': 3, 'counter': 43, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3c', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, -18, -18, 18, -18, 18, -18, 0, 0, -18, 18, -18, -18, 18, -18, 18, -18, -18, 18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -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: 11783950
{'cdim': 3, 'counter': 44, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3d', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, -18, -18, 18, -18, 18, -18, 0, 0, 18, -18, -18, 18, -18, -18, 18, 18, 18, -18, -18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 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: 11783951
{'cdim': 3, 'counter': 45, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3e', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, -18, -18, 18, -18, 18, -18, 0, 0, 18, 18, 18, 18, -18, 18, -18, -18, -18, -18, 18, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 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: 11783952
{'cdim': 3, 'counter': 46, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3f', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, -18, 18, -18, -18, -18, 18, 0, 0, -18, -18, 18, 18, -18, -18, 18, -18, 18, 18, 18, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 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: 11783953
{'cdim': 3, 'counter': 47, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3g', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, -18, 18, -18, -18, -18, 18, 0, 0, -18, 18, -18, 18, -18, 18, -18, 18, -18, 18, -18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 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: 11783954
{'cdim': 3, 'counter': 48, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3h', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, -18, 18, -18, -18, -18, 18, 0, 0, 18, -18, -18, -18, 18, 18, -18, -18, 18, -18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -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: 11783955
{'cdim': 3, 'counter': 49, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3i', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, -18, 18, -18, -18, -18, 18, 0, 0, 18, 18, 18, -18, 18, -18, 18, 18, -18, -18, -18, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -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: 11783957
{'cdim': 3, 'counter': 50, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3j', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, 18, -18, -18, 18, -18, -18, 0, 0, -18, -18, 18, 18, 18, -18, -18, 18, -18, -18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -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: 11783958
{'cdim': 3, 'counter': 51, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3k', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, 18, -18, -18, 18, -18, -18, 0, 0, -18, 18, -18, 18, 18, 18, 18, -18, 18, -18, -18, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 11783959
{'cdim': 3, 'counter': 52, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3l', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, 18, -18, -18, 18, -18, -18, 0, 0, 18, -18, -18, -18, -18, 18, 18, 18, -18, 18, 18, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 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: 11783960
{'cdim': 3, 'counter': 53, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3m', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, 18, -18, -18, 18, -18, -18, 0, 0, 18, 18, 18, -18, -18, -18, -18, -18, 18, 18, -18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 11783961
{'cdim': 3, 'counter': 54, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3n', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, 18, 18, 18, 18, 18, 18, 0, 0, -18, -18, 18, -18, -18, 18, 18, -18, -18, -18, -18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 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: 11783962
{'cdim': 3, 'counter': 55, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3o', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, 18, 18, 18, 18, 18, 18, 0, 0, -18, 18, -18, -18, -18, -18, -18, 18, 18, -18, 18, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 11783963
{'cdim': 3, 'counter': 56, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.3p', 'multiplicity': 6, 'nt': [38, 4], 'qdim': 18, 'qvalues': [18, 18, 18, 18, 18, 18, 18, 18, 0, 0, 18, -18, -18, 18, 18, -18, -18, -18, -18, 18, -18, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -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: 11783964
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id: 11783965
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id: 11783966
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id: 11783968
{'cdim': 6, 'counter': 60, 'faithful': False, 'group': '1824.1172', 'group_order': 1824, 'image': None, 'label': '1824.1172.6d', 'multiplicity': 6, 'nt': [152, 0], 'qdim': 36, 'qvalues': [36, -36, 36, 36, 36, -36, -36, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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gps_char • Show schema
Hide schema
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id: 26209530
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id: 26209642
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id: 26209643
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id: 26209645
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id: 26209651
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id: 26209653
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id: 26209622
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id: 26209633
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id: 26209644
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id: 26209655
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id: 26209666
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id: 26209677
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id: 26209688
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id: 26209699
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id: 26209531
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id: 26209542
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id: 26209553
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id: 26209564
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id: 26209575
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id: 26209586
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id: 26209597
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id: 26209608
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id: 26209619
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id: 26209621
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id: 26209623
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id: 26209624
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id: 26209625
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id: 26209626
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id: 26209627
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id: 26209628
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id: 26209629
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id: 26209630
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id: 26209631
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id: 26209632
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id: 26209634
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id: 26209635
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id: 26209636
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id: 26209637
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id: 26209638
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id: 26209639
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id: 26209640
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id: 26209654
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id: 26209656
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id: 26209657
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id: 26209658
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id: 26209659
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id: 26209660
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id: 26209661
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id: 26209662
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id: 26209663
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id: 26209664
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id: 26209665
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id: 26209667
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id: 26209668
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id: 26209669
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id: 26209670
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id: 26209671
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id: 26209672
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id: 26209673
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id: 26209674
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id: 26209675
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id: 26209676
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id: 26209678
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id: 26209679
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id: 26209680
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id: 26209681
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id: 26209682
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id: 26209683
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id: 26209684
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id: 26209685
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id: 26209686
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id: 26209687
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id: 26209689
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id: 26209690
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id: 26209691
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id: 26209692
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id: 26209693
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id: 26209694
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id: 26209695
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id: 26209696
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id: 26209697
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id: 26209698
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id: 26209700
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id: 26209701
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id: 26209702
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id: 26209703
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id: 26209704
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id: 26209705
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id: 26209706
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id: 26209707
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id: 26209708
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id: 26209709
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id: 26209532
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id: 26209533
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id: 26209534
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id: 26209535
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id: 26209536
{'center': '57.a1', 'center_index': 57, 'center_order': 32, 'counter': 104, 'cyclotomic_n': 19, 'dim': 3, 'faithful': False, 'field': [7, -5, -1, 8, 2, -1, 1], 'group': '1824.1172', 'group_counter': 1172, 'group_order': 1824, 'image': None, 'image_isoclass': '114.2', 'image_order': 114, 'indicator': 0, 'kernel': '114.a1', 'kernel_order': 16, 'label': '1824.1172.3h2', 'nt': [38, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 6], [1, 9]], [[1, -9], [1, -6], [1, -4]], [[1, 8], [1, -7], [1, -1]], [[1, 1], [1, 7], [1, -8]], [[1, 5], [1, -3], [1, -2]], [[1, 2], [1, 3], [1, -5]], [[-1, 1], [-1, 7], [-1, -8]], [[-1, 8], [-1, -7], [-1, -1]], [[-1, 1], [-1, 7], [-1, -8]], [[1, -9], [1, -6], [1, -4]], [[1, 8], [1, -7], [1, -1]], [[1, 4], [1, 6], [1, 9]], [[1, 8], [1, -7], [1, -1]], [[-1, 2], [-1, 3], [-1, -5]], [[1, 1], [1, 7], [1, -8]], [[1, 2], [1, 3], [1, -5]], [[1, 2], [1, 3], [1, -5]], [[1, 8], [1, -7], [1, -1]], [[-1, -9], [-1, -6], [-1, -4]], [[-1, 2], [-1, 3], [-1, -5]], [[-1, 8], [-1, -7], [-1, -1]], [[-1, 4], [-1, 6], [-1, 9]], [[-1, 4], [-1, 6], [-1, 9]], [[-1, 8], [-1, -7], [-1, -1]], [[-1, 2], [-1, 3], [-1, -5]], [[1, 5], [1, -3], [1, -2]], [[-1, 1], [-1, 7], [-1, -8]], [[-1, 8], [-1, -7], [-1, -1]], [[1, -9], [1, -6], [1, -4]], [[1, 2], [1, 3], [1, -5]], [[1, -9], [1, -6], [1, -4]], [[1, 4], [1, 6], [1, 9]], [[1, 5], [1, -3], [1, -2]], [[1, 5], [1, -3], [1, -2]], [[1, 1], [1, 7], [1, -8]], [[-1, 5], [-1, -3], [-1, -2]], [[-1, 5], [-1, -3], [-1, -2]], [[-1, 4], [-1, 6], [-1, 9]], [[-1, -9], [-1, -6], [-1, -4]], [[1, 4], [1, 6], [1, 9]], [[-1, -9], [-1, -6], [-1, -4]], [[-1, 1], [-1, 7], [-1, -8]], [[-1, 2], [-1, 3], [-1, -5]], [[-1, 4], [-1, 6], [-1, 9]], [[-1, 5], [-1, -3], [-1, -2]], [[-1, 5], [-1, -3], [-1, -2]], [[-1, -9], [-1, -6], [-1, -4]], [[1, 1], [1, 7], [1, -8]], [[-1, 2], [-1, 3], [-1, -5]], [[-1, 1], [-1, 7], [-1, -8]], [[-1, 5], [-1, -3], [-1, -2]], [[-1, 2], [-1, 3], [-1, -5]], [[-1, -9], [-1, -6], [-1, -4]], [[-1, 4], [-1, 6], [-1, 9]], [[1, 8], [1, -7], [1, -1]], [[1, -9], [1, -6], [1, -4]], [[1, 5], [1, -3], [1, -2]], [[1, 8], [1, -7], [1, -1]], [[1, -9], [1, -6], [1, -4]], [[1, 5], [1, -3], [1, -2]], [[1, 2], [1, 3], [1, -5]], [[1, 4], [1, 6], [1, 9]], [[1, 1], [1, 7], [1, -8]], [[1, 5], [1, -3], [1, -2]], [[1, -9], [1, -6], [1, -4]], [[1, 1], [1, 7], [1, -8]], [[-1, 5], [-1, -3], [-1, -2]], [[1, -9], [1, -6], [1, -4]], [[1, 1], [1, 7], [1, -8]], [[1, 2], [1, 3], [1, -5]], [[-1, 8], [-1, -7], [-1, -1]], [[-1, 1], [-1, 7], [-1, -8]], [[1, 4], [1, 6], [1, 9]], [[1, 2], [1, 3], [1, -5]], [[1, 8], [1, -7], [1, -1]], [[1, 2], [1, 3], [1, -5]], [[1, 5], [1, -3], [1, -2]], [[1, 1], [1, 7], [1, -8]], [[1, 8], [1, -7], [1, -1]], [[1, 4], [1, 6], [1, 9]], [[1, -9], [1, -6], [1, -4]], [[1, 4], [1, 6], [1, 9]], [[1, 2], [1, 3], [1, -5]], [[1, 1], [1, 7], [1, -8]], [[1, 8], [1, -7], [1, -1]], [[-1, 8], [-1, -7], [-1, -1]], [[-1, 2], [-1, 3], [-1, -5]], [[-1, -9], [-1, -6], [-1, -4]], [[1, 5], [1, -3], [1, -2]], [[-1, 4], [-1, 6], [-1, 9]], [[-1, 8], [-1, -7], [-1, -1]], [[-1, 4], [-1, 6], [-1, 9]], [[-1, 5], [-1, -3], [-1, -2]], [[-1, 1], [-1, 7], [-1, -8]], [[-1, 5], [-1, -3], [-1, -2]], [[-1, -9], [-1, -6], [-1, -4]], [[1, -9], [1, -6], [1, -4]], [[1, 1], [1, 7], [1, -8]], [[1, 2], [1, 3], [1, -5]], [[-1, 2], [-1, 3], [-1, -5]], [[-1, 1], [-1, 7], [-1, -8]], [[1, 4], [1, 6], [1, 9]], [[-1, 8], [-1, -7], [-1, -1]], [[-1, 1], [-1, 7], [-1, -8]], [[-1, -9], [-1, -6], [-1, -4]], [[1, 8], [1, -7], [1, -1]], [[1, 5], [1, -3], [1, -2]], [[-1, 2], [-1, 3], [-1, -5]], [[-1, 8], [-1, -7], [-1, -1]], [[1, 4], [1, 6], [1, 9]], [[-1, -9], [-1, -6], [-1, -4]], [[-1, 4], [-1, 6], [-1, 9]], [[-1, 2], [-1, 3], [-1, -5]], [[-1, -9], [-1, -6], [-1, -4]], [[-1, 4], [-1, 6], [-1, 9]], [[-1, 1], [-1, 7], [-1, -8]], [[-1, 5], [-1, -3], [-1, -2]], [[-1, 8], [-1, -7], [-1, -1]], [[-1, 4], [-1, 6], [-1, 9]], [[-1, 5], [-1, -3], [-1, -2]]]}
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id: 26209537
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id: 26209538
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id: 26209539
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id: 26209540
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id: 26209541
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id: 26209543
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id: 26209544
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id: 26209545
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id: 26209546
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id: 26209547
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id: 26209548
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id: 26209549
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id: 26209550
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id: 26209551
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id: 26209552
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id: 26209554
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id: 26209555
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id: 26209556
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id: 26209557
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id: 26209558
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id: 26209559
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id: 26209560
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id: 26209561
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id: 26209562
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id: 26209563
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id: 26209565
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id: 26209566
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id: 26209567
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id: 26209568
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id: 26209569
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id: 26209570
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id: 26209571
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id: 26209572
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id: 26209573
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id: 26209574
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id: 26209576
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id: 26209577
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id: 26209578
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id: 26209579
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id: 26209580
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id: 26209581
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id: 26209582
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id: 26209583
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id: 26209584
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id: 26209585
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id: 26209587
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id: 26209588
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id: 26209589
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id: 26209590
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id: 26209591
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id: 26209592
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id: 26209593
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id: 26209594
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id: 26209595
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id: 26209596
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id: 26209598
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id: 26209599
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id: 26209600
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id: 26209601
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id: 26209602
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id: 26209603
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id: 26209604
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id: 26209605
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id: 26209606
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id: 26209607
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id: 26209609
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id: 26209610
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id: 26209611
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id: 26209612
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id: 26209613
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id: 26209614
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id: 26209615
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id: 26209616
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id: 26209617
{'center': '228.b1', 'center_index': 228, 'center_order': 8, 'counter': 178, 'cyclotomic_n': 19, 'dim': 6, 'faithful': False, 'field': [7, -5, -1, 8, 2, -1, 1], 'group': '1824.1172', 'group_counter': 1172, 'group_order': 1824, 'image': None, 'image_isoclass': '456.21', 'image_order': 456, 'indicator': 0, 'kernel': '456.b1', 'kernel_order': 4, 'label': '1824.1172.6d4', 'nt': [152, 6], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 7], [2, -8]], [[2, 8], [2, -7], [2, -1]], [[2, 2], [2, 3], [2, -5]], [[2, 5], [2, -3], [2, -2]], [[2, 4], [2, 6], [2, 9]], [[2, -9], [2, -6], [2, -4]], [[2, 5], [2, -3], [2, -2]], [[-2, 2], [-2, 3], [-2, -5]], [[-2, 5], [-2, -3], [-2, -2]], [[-2, 8], [-2, -7], [-2, -1]], [[-2, 2], [-2, 3], [-2, -5]], [[-2, 1], [-2, 7], [-2, -8]], [[2, 2], [2, 3], [2, -5]], [[2, -9], [2, -6], [2, -4]], [[-2, 5], [-2, -3], [-2, -2]], [[-2, -9], [-2, -6], [-2, -4]], [[-2, -9], [-2, -6], [-2, -4]], [[-2, 2], [-2, 3], [-2, -5]], [[-2, 8], [-2, -7], [-2, -1]], [[-2, -9], [-2, -6], [-2, -4]], [[-2, 2], [-2, 3], [-2, -5]], [[-2, 1], [-2, 7], [-2, -8]], [[2, 1], [2, 7], [2, -8]], [[2, 2], [2, 3], [2, -5]], [[2, -9], [2, -6], [2, -4]], [[-2, 4], [-2, 6], [-2, 9]], [[2, 5], [2, -3], [2, -2]], [[2, 2], [2, 3], [2, -5]], [[2, 8], [2, -7], [2, -1]], [[2, -9], [2, -6], [2, -4]], [[-2, 8], [-2, -7], [-2, -1]], [[2, 1], [2, 7], [2, -8]], [[2, 4], [2, 6], [2, 9]], [[-2, 4], [-2, 6], [-2, 9]], [[2, 5], [2, -3], [2, -2]], [[-2, 4], [-2, 6], [-2, 9]], [[2, 4], [2, 6], [2, 9]], [[2, 1], [2, 7], [2, -8]], [[-2, 8], [-2, -7], [-2, -1]], [[-2, 1], [-2, 7], [-2, -8]], [[2, 8], [2, -7], [2, -1]], [[-2, 5], [-2, -3], [-2, -2]], [[-2, -9], [-2, -6], [-2, -4]], [[-2, 1], [-2, 7], [-2, -8]], [[-2, 4], [-2, 6], [-2, 9]], [[2, 4], [2, 6], [2, 9]], [[2, 8], [2, -7], [2, -1]], [[-2, 5], [-2, -3], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 26209618
{'center': '228.b1', 'center_index': 228, 'center_order': 8, 'counter': 179, 'cyclotomic_n': 19, 'dim': 6, 'faithful': False, 'field': [7, -5, -1, 8, 2, -1, 1], 'group': '1824.1172', 'group_counter': 1172, 'group_order': 1824, 'image': None, 'image_isoclass': '456.21', 'image_order': 456, 'indicator': 0, 'kernel': '456.b1', 'kernel_order': 4, 'label': '1824.1172.6d5', 'nt': [152, 0], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -3], [2, -2]], [[2, 2], [2, 3], [2, -5]], [[2, -9], [2, -6], [2, -4]], [[2, 4], [2, 6], [2, 9]], [[2, 1], [2, 7], [2, -8]], [[2, 8], [2, -7], [2, -1]], [[2, 4], [2, 6], [2, 9]], [[-2, -9], [-2, -6], [-2, -4]], [[-2, 4], [-2, 6], [-2, 9]], [[-2, 2], [-2, 3], [-2, -5]], [[-2, -9], [-2, -6], [-2, -4]], [[-2, 5], [-2, -3], [-2, -2]], [[2, -9], [2, -6], [2, -4]], [[2, 8], [2, -7], [2, -1]], [[-2, 4], [-2, 6], [-2, 9]], [[-2, 8], [-2, -7], [-2, -1]], [[-2, 8], [-2, -7], [-2, -1]], [[-2, -9], [-2, -6], [-2, -4]], [[-2, 2], [-2, 3], [-2, -5]], [[-2, 8], [-2, -7], [-2, -1]], [[-2, -9], [-2, -6], [-2, -4]], [[-2, 5], [-2, -3], [-2, -2]], [[2, 5], [2, -3], [2, -2]], [[2, -9], [2, -6], [2, -4]], [[2, 8], [2, -7], [2, -1]], [[-2, 1], [-2, 7], [-2, -8]], [[2, 4], [2, 6], [2, 9]], [[2, -9], [2, -6], [2, -4]], [[2, 2], [2, 3], [2, -5]], [[2, 8], [2, -7], [2, -1]], [[-2, 2], [-2, 3], [-2, -5]], [[2, 5], [2, -3], [2, -2]], [[2, 1], [2, 7], [2, -8]], [[-2, 1], [-2, 7], [-2, -8]], [[2, 4], [2, 6], [2, 9]], [[-2, 1], [-2, 7], [-2, -8]], [[2, 1], [2, 7], [2, -8]], [[2, 5], [2, -3], [2, -2]], [[-2, 2], [-2, 3], [-2, -5]], [[-2, 5], [-2, -3], [-2, -2]], [[2, 2], [2, 3], [2, -5]], [[-2, 4], [-2, 6], [-2, 9]], [[-2, 8], [-2, -7], [-2, -1]], [[-2, 5], [-2, -3], [-2, -2]], [[-2, 1], [-2, 7], [-2, -8]], [[2, 1], [2, 7], [2, -8]], [[2, 2], [2, 3], [2, -5]], [[-2, 4], [-2, 6], [-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 26209620
{'center': '228.b1', 'center_index': 228, 'center_order': 8, 'counter': 180, 'cyclotomic_n': 19, 'dim': 6, 'faithful': False, 'field': [7, -5, -1, 8, 2, -1, 1], 'group': '1824.1172', 'group_counter': 1172, 'group_order': 1824, 'image': None, 'image_isoclass': '456.21', 'image_order': 456, 'indicator': 0, 'kernel': '456.b1', 'kernel_order': 4, 'label': '1824.1172.6d6', 'nt': [152, 6], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, 3], [2, -5]], [[2, 5], [2, -3], [2, -2]], [[2, 4], [2, 6], [2, 9]], [[2, -9], [2, -6], [2, -4]], [[2, 8], [2, -7], [2, -1]], [[2, 1], [2, 7], [2, -8]], [[2, -9], [2, -6], [2, -4]], [[-2, 4], [-2, 6], [-2, 9]], [[-2, -9], [-2, -6], [-2, -4]], [[-2, 5], [-2, -3], [-2, -2]], [[-2, 4], [-2, 6], [-2, 9]], [[-2, 2], [-2, 3], [-2, -5]], [[2, 4], [2, 6], [2, 9]], [[2, 1], [2, 7], [2, -8]], [[-2, -9], [-2, -6], [-2, -4]], [[-2, 1], [-2, 7], [-2, -8]], [[-2, 1], [-2, 7], [-2, -8]], [[-2, 4], [-2, 6], [-2, 9]], [[-2, 5], [-2, -3], [-2, -2]], [[-2, 1], [-2, 7], [-2, -8]], [[-2, 4], [-2, 6], [-2, 9]], [[-2, 2], [-2, 3], [-2, -5]], [[2, 2], [2, 3], [2, -5]], [[2, 4], [2, 6], [2, 9]], [[2, 1], [2, 7], [2, -8]], [[-2, 8], [-2, -7], [-2, -1]], [[2, -9], [2, -6], [2, -4]], [[2, 4], [2, 6], [2, 9]], [[2, 5], [2, -3], [2, -2]], [[2, 1], [2, 7], [2, -8]], [[-2, 5], [-2, -3], [-2, -2]], [[2, 2], [2, 3], [2, -5]], [[2, 8], [2, -7], [2, -1]], [[-2, 8], [-2, -7], [-2, -1]], [[2, -9], [2, -6], [2, -4]], [[-2, 8], [-2, -7], [-2, -1]], [[2, 8], [2, -7], [2, -1]], [[2, 2], [2, 3], [2, -5]], [[-2, 5], [-2, -3], [-2, -2]], [[-2, 2], [-2, 3], [-2, -5]], [[2, 5], [2, -3], [2, -2]], [[-2, -9], [-2, -6], [-2, -4]], [[-2, 1], [-2, 7], [-2, -8]], [[-2, 2], [-2, 3], [-2, -5]], [[-2, 8], [-2, -7], [-2, -1]], [[2, 8], [2, -7], [2, -1]], [[2, 5], [2, -3], [2, -2]], [[-2, -9], [-2, -6], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 106616164
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1824, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 114, 'label': '1824.1172.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1824.1172', 'subgroup_hash': 1172, 'subgroup_order': 1824, 'subgroup_tex': 'C_{38}:C_6\\times Q_8', 'supersolvable': True, 'sylow': 0}
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id: 106616175
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': False, 'core_order': 912, 'counter': 2, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1824.1172.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '912.165', 'subgroup_hash': 165, 'subgroup_order': 912, 'subgroup_tex': 'C_{19}:C_6\\times Q_8', 'supersolvable': True, 'sylow': 0}
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id: 106616186
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 912, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '912.163', 'subgroup_hash': 163, 'subgroup_order': 912, 'subgroup_tex': 'C_2\\times C_{38}:C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 106616197
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': True, 'core_order': 608, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 38, 'label': '1824.1172.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '608.190', 'subgroup_hash': 190, 'subgroup_order': 608, 'subgroup_tex': 'C_{76}.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 106616207
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 456, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '456.19', 'subgroup_hash': 19, 'subgroup_order': 456, 'subgroup_tex': 'C_{38}:C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 106616208
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': True, 'centralizer_order': 32, 'characteristic': True, 'core_order': 456, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '456.48', 'subgroup_hash': 48, 'subgroup_order': 456, 'subgroup_tex': 'C_2\\times C_{38}:C_6', 'supersolvable': True, 'sylow': 0}
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id: 106616209
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': False, 'core_order': 456, 'counter': 7, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1824.1172.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '456.21', 'subgroup_hash': 21, 'subgroup_order': 456, 'subgroup_tex': 'C_{76}.C_6', 'supersolvable': True, 'sylow': 0}
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id: 106616210
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 304, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '304.39', 'subgroup_hash': 39, 'subgroup_order': 304, 'subgroup_tex': 'Q_8\\times C_{38}', 'supersolvable': True, 'sylow': 0}
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id: 106616211
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 304, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '304.37', 'subgroup_hash': 37, 'subgroup_order': 304, 'subgroup_tex': 'C_2^2\\times C_{76}', 'supersolvable': True, 'sylow': 0}
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id: 106616165
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': True, 'centralizer_order': 32, 'characteristic': False, 'core_order': 228, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '228.9', 'subgroup_hash': 9, 'subgroup_order': 228, 'subgroup_tex': 'C_{38}:C_6', 'supersolvable': True, 'sylow': 0}
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id: 106616166
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': True, 'centralizer_order': 32, 'characteristic': False, 'core_order': 228, 'counter': 11, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1824.1172.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '228.9', 'subgroup_hash': 9, 'subgroup_order': 228, 'subgroup_tex': 'C_{38}:C_6', 'supersolvable': True, 'sylow': 0}
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id: 106616167
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 228, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '228.2', 'subgroup_hash': 2, 'subgroup_order': 228, 'subgroup_tex': 'C_{19}:C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 106616168
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 152, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '152.8', 'subgroup_hash': 8, 'subgroup_order': 152, 'subgroup_tex': 'C_2\\times C_{76}', 'supersolvable': True, 'sylow': 0}
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id: 106616169
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 608, 'characteristic': True, 'core_order': 152, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '152.12', 'subgroup_hash': 12, 'subgroup_order': 152, 'subgroup_tex': 'C_2^2\\times C_{38}', 'supersolvable': True, 'sylow': 0}
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id: 106616170
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 152, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '152.10', 'subgroup_hash': 10, 'subgroup_order': 152, 'subgroup_tex': 'Q_8\\times C_{19}', 'supersolvable': True, 'sylow': 0}
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id: 106616171
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': True, 'centralizer_order': 32, 'characteristic': False, 'core_order': 114, 'counter': 16, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1824.1172.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '114.2', 'subgroup_hash': 2, 'subgroup_order': 114, 'subgroup_tex': 'C_{19}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 106616172
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': True, 'centralizer_order': 32, 'characteristic': True, 'core_order': 114, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '114.2', 'subgroup_hash': 2, 'subgroup_order': 114, 'subgroup_tex': 'C_{19}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 106616173
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1824.1172.19.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '19.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 19, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.222', 'subgroup_hash': 222, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 106616174
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 608, 'characteristic': False, 'core_order': 76, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '76.4', 'subgroup_hash': 4, 'subgroup_order': 76, 'subgroup_tex': 'C_2\\times C_{38}', 'supersolvable': True, 'sylow': 0}
-
id: 106616176
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 608, 'characteristic': False, 'core_order': 76, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '76.4', 'subgroup_hash': 4, 'subgroup_order': 76, 'subgroup_tex': 'C_2\\times C_{38}', 'supersolvable': True, 'sylow': 0}
-
id: 106616177
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 76, 'counter': 21, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1824.1172.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '76.2', 'subgroup_hash': 2, 'subgroup_order': 76, 'subgroup_tex': 'C_{76}', 'supersolvable': True, 'sylow': 0}
-
id: 106616178
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': True, 'centralizer_order': 32, 'characteristic': True, 'core_order': 57, 'counter': 22, 'cyclic': False, 'direct': True, 'hall': 57, 'label': '1824.1172.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.47', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 47, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '57.1', 'subgroup_hash': 1, 'subgroup_order': 57, 'subgroup_tex': 'C_{19}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 106616179
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1824.1172.38.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '38.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 38, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.46', 'subgroup_hash': 46, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 106616180
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1824.1172.38.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '38.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 38, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 106616181
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 608, 'characteristic': False, 'core_order': 38, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1824.1172.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '38.2', 'subgroup_hash': 2, 'subgroup_order': 38, 'subgroup_tex': 'C_{38}', 'supersolvable': True, 'sylow': 0}
-
id: 106616182
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 608, 'characteristic': True, 'core_order': 38, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1824.1172.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.52', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '38.2', 'subgroup_hash': 2, 'subgroup_order': 38, 'subgroup_tex': 'C_{38}', 'supersolvable': True, 'sylow': 0}
-
id: 106616183
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': True, 'centralizer_order': 456, 'characteristic': True, 'core_order': 32, 'counter': 27, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '1824.1172.57.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '57.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '57.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 57, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{19}:C_3', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.47', 'subgroup_hash': 47, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times Q_8', 'supersolvable': True, 'sylow': 2}
-
id: 106616184
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1824.1172.76.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '76.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 76, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 106616185
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1824.1172.76.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '76.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 76, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 106616187
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1824.1172.76.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '76.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 76, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 106616188
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 608, 'characteristic': True, 'core_order': 19, 'counter': 31, 'cyclic': True, 'direct': False, 'hall': 19, 'label': '1824.1172.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.222', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 222, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.C_2^4', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '19.1', 'subgroup_hash': 1, 'subgroup_order': 19, 'subgroup_tex': 'C_{19}', 'supersolvable': True, 'sylow': 19}
-
id: 106616189
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': True, 'centralizer_order': 456, 'characteristic': False, 'core_order': 16, 'counter': 32, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1824.1172.114.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '114.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '114.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 114, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{19}:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 106616190
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 912, 'characteristic': False, 'core_order': 16, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.114.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '114.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '114.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 114, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{19}:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 106616191
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1824.1172.152.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '152.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 152, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 106616192
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1824.1172.152.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '152.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 152, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 106616193
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 36, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1824.1172.152.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '152.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 152, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 106616194
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 912, 'characteristic': False, 'core_order': 8, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.228.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '228.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '228.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 228, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{38}:C_6', '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: 106616195
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': True, 'central_factor': False, 'centralizer_order': 1824, 'characteristic': True, 'core_order': 8, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.228.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '228.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '228.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 228, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{38}:C_6', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 106616196
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': True, 'centralizer_order': 456, 'characteristic': False, 'core_order': 8, 'counter': 39, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1824.1172.228.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '228.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '228.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 228, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{38}:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
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id: 106616198
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 40, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1824.1172.304.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '304.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 304, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 106616199
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 41, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1824.1172.304.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '304.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 304, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 106616200
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': True, 'central_factor': False, 'centralizer_order': 1824, 'characteristic': False, 'core_order': 4, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1824.1172.456.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '456.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '456.48', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 456, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{38}:C_6', '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: 106616201
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': True, 'central_factor': False, 'centralizer_order': 1824, 'characteristic': False, 'core_order': 4, 'counter': 43, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1824.1172.456.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '456.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '456.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 456, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{76}.C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 106616202
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 912, 'characteristic': False, 'core_order': 4, 'counter': 44, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1824.1172.456.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '456.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '456.48', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 456, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{38}:C_6', '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: 106616203
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '1824.1172.608.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '608.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 608, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 106616204
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': True, 'central_factor': False, 'centralizer_order': 1824, 'characteristic': False, 'core_order': 2, 'counter': 46, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1824.1172.912.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '912.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '912.165', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 165, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 912, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{19}:C_6\\times Q_8', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 106616205
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': True, 'central_factor': False, 'centralizer_order': 1824, 'characteristic': True, 'core_order': 2, 'counter': 47, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1824.1172.912.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '912.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '912.214', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 214, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 912, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{38}:C_6', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 106616206
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1824.1172', 'ambient_counter': 1172, 'ambient_order': 1824, 'ambient_tex': 'C_{38}:C_6\\times Q_8', 'central': True, 'central_factor': False, 'centralizer_order': 1824, 'characteristic': True, 'core_order': 1, 'counter': 48, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1824.1172.1824.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1824.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1824.1172', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1172, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1824, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{38}:C_6\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 106616164
{'ambient': '1824.1172', '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': '228.b1', 'complements': ['1824.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '3.a1', '19.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3701, 7149, 6384, 5446], 'generators': [456, 920, 912, 12, 2, 1, 96], 'label': '1824.1172.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '228.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '228.9'}
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id: 106616165
{'ambient': '1824.1172', 'aut_centralizer_order': 1536, 'aut_label': '8.a1', 'aut_quo_index': 7, 'aut_stab_index': 3, 'aut_weyl_group': '684.28', 'aut_weyl_index': 4608, 'centralizer': '57.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '4.b1'], 'contains': ['16.a1', '16.b1', '24.a1', '152.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6879, 2679, 3504, 2219], 'generators': [1, 912, 96, 920], 'label': '1824.1172.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1'], 'normal_contains': ['16.a1', '16.b1', '24.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '456.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '57.1'}
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id: 106616166
{'ambient': '1824.1172', 'aut_centralizer_order': 384, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2052.s', 'aut_weyl_index': 1536, 'centralizer': '57.a1', 'complements': ['228.c1'], 'conjugacy_class_count': 4, 'contained_in': ['4.b1'], 'contains': ['16.a1', '24.b1', '152.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [9559, 841, 526, 697], 'generators': [1, 2, 96, 920], 'label': '1824.1172.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['16.a1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '456.21', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.4', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '57.1'}
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id: 106616167
{'ambient': '1824.1172', 'aut_centralizer_order': 384, 'aut_label': '8.c1', 'aut_quo_index': 7, 'aut_stab_index': 12, 'aut_weyl_group': '684.28', 'aut_weyl_index': 4608, 'centralizer': '114.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['4.a1', '4.c1'], 'contains': ['16.b1', '24.c1', '152.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [2042, 4756, 7181, 3670], 'generators': [12, 920, 96, 912], 'label': '1824.1172.8.c1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.c1', 'normal_contained_in': ['4.a1', '4.c1'], 'normal_contains': ['16.b1', '24.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '912.214', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '114.2'}
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id: 106616168
{'ambient': '1824.1172', 'aut_centralizer_order': 1216, 'aut_label': '12.a1', 'aut_quo_index': 6, 'aut_stab_index': 18, 'aut_weyl_group': '144.48', 'aut_weyl_index': 21888, 'centralizer': '6.b1', 'complements': [], 'conjugacy_class_count': 18, 'contained_in': ['4.a1', '6.a1', '6.b1'], 'contains': ['24.a1', '24.c1', '228.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5144, 6936, 5353, 6238], 'generators': [1, 924, 912, 96], 'label': '1824.1172.12.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1', '6.b1'], 'normal_contains': ['24.a1', '24.c1', '228.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '456.48', 'quotient_action_image': '6.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
-
id: 106616169
{'ambient': '1824.1172', 'aut_centralizer_order': 7296, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '432.532', 'aut_weyl_index': 7296, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.b1'], 'contains': ['24.a1', '24.b1', '228.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8813, 4799, 1595, 5007], 'generators': [1, 2, 96, 912], 'label': '1824.1172.12.b1', 'mobius_quo': 8, 'mobius_sub': -2, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.b1'], 'normal_contains': ['24.a1', '24.b1', '228.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '228.9', 'quotient_action_image': '3.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 106616170
{'ambient': '1824.1172', 'aut_centralizer_order': 456, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 16, 'aut_weyl_group': '432.532', 'aut_weyl_index': 7296, 'centralizer': '12.b1', 'complements': ['152.b1'], 'conjugacy_class_count': 16, 'contained_in': ['4.c1', '6.a1'], 'contains': ['24.c1', '228.c1'], 'core': '12.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [657, 8337, 8875, 7399], 'generators': [457, 924, 912, 96], 'label': '1824.1172.12.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.c1', 'normal_contained_in': ['4.c1', '6.a1'], 'normal_contains': ['24.c1', '228.c1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '912.214', 'quotient_action_image': '3.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '12.5'}
-
id: 106616171
{'ambient': '1824.1172', 'aut_centralizer_order': 1536, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '342.7', 'aut_weyl_index': 9216, 'centralizer': '57.a1', 'complements': ['114.a1'], 'conjugacy_class_count': 6, 'contained_in': ['8.a1', '8.b1'], 'contains': ['32.a1', '48.a1', '304.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7818, 757, 2183, 1553], 'generators': [1, 920, 96], 'label': '1824.1172.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['32.a1', '48.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '912.165', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.12', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '57.1'}
-
id: 106616172
{'ambient': '1824.1172', 'aut_centralizer_order': 9216, 'aut_label': '16.b1', 'aut_quo_index': 35, 'aut_stab_index': 1, 'aut_weyl_group': '342.7', 'aut_weyl_index': 9216, 'centralizer': '57.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.c1'], 'contains': ['32.a1', '48.b1', '304.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3593, 2739, 5262, 2926], 'generators': [912, 920, 96], 'label': '1824.1172.16.b1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.c1'], 'normal_contains': ['32.a1', '48.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '912.214', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '57.1'}
-
id: 106616173
{'ambient': '1824.1172', 'aut_centralizer_order': 18, 'aut_label': '19.a1', 'aut_quo_index': None, 'aut_stab_index': 19, 'aut_weyl_group': '9216.u', 'aut_weyl_index': 342, 'centralizer': '76.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['38.a1', '38.b1', '57.a1'], 'core': '57.a1', 'coset_action_label': None, 'count': 19, 'diagramx': [4135, -1, 6988, -1], 'generators': [1, 912, 920, 2, 12, 1368], 'label': '1824.1172.19.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '19.a1', 'projective_image': '228.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 106616174
{'ambient': '1824.1172', 'aut_centralizer_order': 29184, 'aut_label': '24.a1', 'aut_quo_index': 14, 'aut_stab_index': 3, 'aut_weyl_group': '36.5', 'aut_weyl_index': 87552, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '12.a1', '12.b1'], 'contains': ['48.a1', '48.b1', '456.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6994, 4346, 3578, 5347], 'generators': [1, 912, 96], 'label': '1824.1172.24.a1', 'mobius_quo': -2, 'mobius_sub': 8, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1', '12.b1'], 'normal_contains': ['48.a1', '48.b1', '456.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '456.48', 'quotient_action_image': '3.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 106616175
{'ambient': '1824.1172', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '228.b1', 'complements': ['912.a1'], 'conjugacy_class_count': 12, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '6.a1', '38.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2279, 7149, 8271, 5446], 'generators': [920, 912, 96, 456, 12, 1], 'label': '1824.1172.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '456.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '228.9'}
-
id: 106616176
{'ambient': '1824.1172', 'aut_centralizer_order': 7296, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '108.24', 'aut_weyl_index': 29184, 'centralizer': '3.a1', 'complements': ['76.c1'], 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '12.b1'], 'contains': ['48.a1', '456.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [9457, 2619, 500, 4193], 'generators': [1, 2, 96], 'label': '1824.1172.24.b1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.b1'], 'normal_contains': ['48.a1', '456.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '456.21', 'quotient_action_image': '3.1', 'quotient_action_kernel': '8.4', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 106616177
{'ambient': '1824.1172', 'aut_centralizer_order': 7296, 'aut_label': '24.c1', 'aut_quo_index': 14, 'aut_stab_index': 12, 'aut_weyl_group': '36.5', 'aut_weyl_index': 87552, 'centralizer': '6.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['8.c1', '12.a1', '12.c1'], 'contains': ['48.b1', '456.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [1966, 6610, 6742, 6238], 'generators': [924, 96, 912], 'label': '1824.1172.24.c1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.a1', '12.c1'], 'normal_contains': ['48.b1', '456.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '912.214', 'quotient_action_image': '6.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
-
id: 106616178
{'ambient': '1824.1172', 'aut_centralizer_order': 9216, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '342.7', 'aut_weyl_index': 9216, 'centralizer': '57.a1', 'complements': ['57.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1'], 'contains': ['96.a1', '608.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6853, 757, 3482, 2926], 'generators': [920, 96], 'label': '1824.1172.32.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['96.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '1824.1172', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.47', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '57.1'}
-
id: 106616179
{'ambient': '1824.1172', 'aut_centralizer_order': 72, 'aut_label': '38.a1', 'aut_quo_index': None, 'aut_stab_index': 228, 'aut_weyl_group': '192.955', 'aut_weyl_index': 16416, 'centralizer': '76.b1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['2.a1', '19.a1'], 'contains': ['76.a1', '76.c1', '114.a1'], 'core': '114.a1', 'coset_action_label': None, 'count': 228, 'diagramx': [1806, -1, 8522, -1], 'generators': [1, 912, 12, 1368, 920], 'label': '1824.1172.38.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '38.a1', 'projective_image': '456.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '38.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 106616180
{'ambient': '1824.1172', 'aut_centralizer_order': 288, 'aut_label': '38.b1', 'aut_quo_index': None, 'aut_stab_index': 57, 'aut_weyl_group': '192.1493', 'aut_weyl_index': 16416, 'centralizer': '38.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '19.a1'], 'contains': ['76.a1', '76.b1', '114.b1'], 'core': '114.b1', 'coset_action_label': None, 'count': 57, 'diagramx': [5399, -1, 4498, -1], 'generators': [1, 912, 2, 12, 920], 'label': '1824.1172.38.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '38.b1', 'projective_image': '228.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '38.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 106616181
{'ambient': '1824.1172', 'aut_centralizer_order': 29184, 'aut_label': '48.a1', 'aut_quo_index': 2, 'aut_stab_index': 6, 'aut_weyl_group': '18.2', 'aut_weyl_index': 175104, 'centralizer': '3.a1', 'complements': ['38.a1'], 'conjugacy_class_count': 6, 'contained_in': ['16.a1', '24.a1', '24.b1'], 'contains': ['96.a1', '912.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7880, 2568, 2541, 4724], 'generators': [1, 96], 'label': '1824.1172.48.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1'], 'normal_contains': ['96.a1', '912.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '912.165', 'quotient_action_image': '3.1', 'quotient_action_kernel': '16.12', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 106616182
{'ambient': '1824.1172', 'aut_centralizer_order': 175104, 'aut_label': '48.b1', 'aut_quo_index': 70, 'aut_stab_index': 1, 'aut_weyl_group': '18.2', 'aut_weyl_index': 175104, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '24.a1', '24.c1'], 'contains': ['96.a1', '912.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3676, 3816, 4476, 5347], 'generators': [912, 96], 'label': '1824.1172.48.b1', 'mobius_quo': 1, 'mobius_sub': -64, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.c1'], 'normal_contains': ['96.a1', '912.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '912.214', 'quotient_action_image': '3.1', 'quotient_action_kernel': '16.14', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 106616183
{'ambient': '1824.1172', 'aut_centralizer_order': 342, 'aut_label': '57.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '9216.u', 'aut_weyl_index': 342, 'centralizer': '4.b1', 'complements': ['32.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '19.a1'], 'contains': ['114.a1', '114.b1'], 'core': '57.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4544, 9081, 6854, 8815], 'generators': [1, 2, 924, 1368], 'label': '1824.1172.57.a1', 'mobius_quo': 0, 'mobius_sub': 19, 'normal_closure': '57.a1', 'normal_contained_in': ['3.a1'], 'normal_contains': ['114.a1', '114.b1'], 'normalizer': '1.a1', 'old_label': '57.a1', 'projective_image': '228.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '57.1', 'quotient_action_kernel_order': 57, 'quotient_fusion': None, 'short_label': '57.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 106616184
{'ambient': '1824.1172', 'aut_centralizer_order': 1152, 'aut_label': '76.a1', 'aut_quo_index': None, 'aut_stab_index': 342, 'aut_weyl_group': '8.3', 'aut_weyl_index': 393984, 'centralizer': '38.b1', 'complements': None, 'conjugacy_class_count': 18, 'contained_in': ['4.a1', '38.a1', '38.b1'], 'contains': ['152.a1', '152.c1', '228.a1'], 'core': '228.a1', 'coset_action_label': None, 'count': 342, 'diagramx': [3676, -1, 6224, -1], 'generators': [1, 12, 920, 912], 'label': '1824.1172.76.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '76.a1', 'projective_image': '456.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '76.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 106616185
{'ambient': '1824.1172', 'aut_centralizer_order': 6912, 'aut_label': '76.b1', 'aut_quo_index': None, 'aut_stab_index': 19, 'aut_weyl_group': '24.12', 'aut_weyl_index': 131328, 'centralizer': '19.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '38.b1'], 'contains': ['152.a1', '152.b1', '228.b1'], 'core': '228.b1', 'coset_action_label': None, 'count': 19, 'diagramx': [7887, -1, 2509, -1], 'generators': [1, 2, 912, 920], 'label': '1824.1172.76.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '76.b1', 'projective_image': '228.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '76.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616186
{'ambient': '1824.1172', 'aut_centralizer_order': 16, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '114.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '6.b1', '38.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5787, 4756, 4364, 3464], 'generators': [920, 912, 96, 12, 2, 1], 'label': '1824.1172.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '228.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '114.2'}
-
id: 106616187
{'ambient': '1824.1172', 'aut_centralizer_order': 432, 'aut_label': '76.c1', 'aut_quo_index': None, 'aut_stab_index': 304, 'aut_weyl_group': '24.12', 'aut_weyl_index': 131328, 'centralizer': '76.b1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['4.c1', '38.a1'], 'contains': ['152.c1', '228.c1'], 'core': '228.c1', 'coset_action_label': None, 'count': 304, 'diagramx': [441, -1, 9682, -1], 'generators': [1369, 12, 920, 912], 'label': '1824.1172.76.c1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '76.c1', 'projective_image': '912.214', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '76.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 106616188
{'ambient': '1824.1172', 'aut_centralizer_order': 175104, 'aut_label': '96.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '18.2', 'aut_weyl_index': 175104, 'centralizer': '3.a1', 'complements': ['19.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1'], 'contains': ['1824.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6375, 2304, 3439, 5035], 'generators': [96], 'label': '1824.1172.96.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1'], 'normal_contains': ['1824.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '1824.1172', 'quotient_action_image': '3.1', 'quotient_action_kernel': '32.47', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 106616189
{'ambient': '1824.1172', 'aut_centralizer_order': 1368, 'aut_label': '114.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '192.955', 'aut_weyl_index': 16416, 'centralizer': '4.b1', 'complements': ['16.a1'], 'conjugacy_class_count': 12, 'contained_in': ['6.a1', '38.a1', '57.a1'], 'contains': ['228.a1', '228.c1'], 'core': '114.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2470, 8670, 8068, 9579], 'generators': [1, 924, 1368], 'label': '1824.1172.114.a1', 'mobius_quo': 0, 'mobius_sub': -19, 'normal_closure': '114.a1', 'normal_contained_in': ['6.a1', '57.a1'], 'normal_contains': ['228.a1', '228.c1'], 'normalizer': '1.a1', 'old_label': '114.a1', 'projective_image': '456.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '114.2', 'quotient_action_kernel_order': 114, 'quotient_fusion': None, 'short_label': '114.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 106616190
{'ambient': '1824.1172', 'aut_centralizer_order': 5472, 'aut_label': '114.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '192.1493', 'aut_weyl_index': 16416, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['6.b1', '38.b1', '57.a1'], 'contains': ['228.a1', '228.b1'], 'core': '114.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5348, 7081, 4498, 8539], 'generators': [1, 2, 924], 'label': '1824.1172.114.b1', 'mobius_quo': 0, 'mobius_sub': -19, 'normal_closure': '114.b1', 'normal_contained_in': ['6.b1', '57.a1'], 'normal_contains': ['228.a1', '228.b1'], 'normalizer': '1.a1', 'old_label': '114.b1', 'projective_image': '228.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '57.1', 'quotient_action_kernel_order': 57, 'quotient_fusion': None, 'short_label': '114.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 106616191
{'ambient': '1824.1172', 'aut_centralizer_order': 27648, 'aut_label': '152.a1', 'aut_quo_index': None, 'aut_stab_index': 57, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1575936, 'centralizer': '19.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '76.a1', '76.b1'], 'contains': ['304.a1', '304.b1', '456.a1'], 'core': '456.a1', 'coset_action_label': None, 'count': 57, 'diagramx': [6465, -1, 4380, -1], 'generators': [1, 912, 920], 'label': '1824.1172.152.a1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '152.a1', 'projective_image': '456.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '152.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616192
{'ambient': '1824.1172', 'aut_centralizer_order': 6912, 'aut_label': '152.b1', 'aut_quo_index': None, 'aut_stab_index': 76, 'aut_weyl_group': '6.1', 'aut_weyl_index': 525312, 'centralizer': '19.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '76.b1'], 'contains': ['304.a1', '456.b1'], 'core': '456.b1', 'coset_action_label': None, 'count': 76, 'diagramx': [9298, -1, 1301, -1], 'generators': [1, 2, 920], 'label': '1824.1172.152.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '152.b1', 'projective_image': '456.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '152.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616193
{'ambient': '1824.1172', 'aut_centralizer_order': 6912, 'aut_label': '152.c1', 'aut_quo_index': None, 'aut_stab_index': 228, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1575936, 'centralizer': '38.b1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.c1', '76.a1', '76.c1'], 'contains': ['304.b1', '456.c1'], 'core': '456.c1', 'coset_action_label': None, 'count': 228, 'diagramx': [843, -1, 7213, -1], 'generators': [12, 920, 912], 'label': '1824.1172.152.c1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '152.c1', 'projective_image': '912.214', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '152.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 106616194
{'ambient': '1824.1172', 'aut_centralizer_order': 21888, 'aut_label': '228.a1', 'aut_quo_index': 3, 'aut_stab_index': 18, 'aut_weyl_group': '8.3', 'aut_weyl_index': 393984, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 18, 'contained_in': ['12.a1', '76.a1', '114.a1', '114.b1'], 'contains': ['456.a1', '456.c1'], 'core': '228.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4384, 7081, 6144, 7612], 'generators': [1, 924], 'label': '1824.1172.228.a1', 'mobius_quo': 0, 'mobius_sub': 38, 'normal_closure': '228.a1', 'normal_contained_in': ['12.a1', '114.a1', '114.b1'], 'normal_contains': ['456.a1', '456.c1'], 'normalizer': '1.a1', 'old_label': '228.a1', 'projective_image': '456.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '114.2', 'quotient_action_kernel_order': 114, 'quotient_fusion': None, 'short_label': '228.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 106616195
{'ambient': '1824.1172', 'aut_centralizer_order': 131328, 'aut_label': '228.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 131328, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '76.b1', '114.b1'], 'contains': ['456.a1', '456.b1'], 'core': '228.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7887, 5200, 2921, 6840], 'generators': [1, 2, 912], 'label': '1824.1172.228.b1', 'mobius_quo': -8, 'mobius_sub': 38, 'normal_closure': '228.b1', 'normal_contained_in': ['12.b1', '114.b1'], 'normal_contains': ['456.a1', '456.b1'], 'normalizer': '1.a1', 'old_label': '228.b1', 'projective_image': '228.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '228.9', 'quotient_action_kernel_order': 228, 'quotient_fusion': None, 'short_label': '228.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616196
{'ambient': '1824.1172', 'aut_centralizer_order': 8208, 'aut_label': '228.c1', 'aut_quo_index': 1, 'aut_stab_index': 16, 'aut_weyl_group': '24.12', 'aut_weyl_index': 131328, 'centralizer': '4.b1', 'complements': ['8.b1'], 'conjugacy_class_count': 16, 'contained_in': ['12.c1', '76.c1', '114.a1'], 'contains': ['456.c1'], 'core': '228.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [466, 8670, 8469, 8348], 'generators': [1369, 924], 'label': '1824.1172.228.c1', 'mobius_quo': 0, 'mobius_sub': 38, 'normal_closure': '228.c1', 'normal_contained_in': ['12.c1', '114.a1'], 'normal_contains': ['456.c1'], 'normalizer': '1.a1', 'old_label': '228.c1', 'projective_image': '912.214', 'quotient_action_image': '1.1', 'quotient_action_kernel': '228.9', 'quotient_action_kernel_order': 228, 'quotient_fusion': None, 'short_label': '228.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 106616197
{'ambient': '1824.1172', 'aut_centralizer_order': 19, 'aut_label': '3.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 19, 'centralizer': '12.b1', 'complements': ['608.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '57.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4404, 9243, 5780, 7456], 'generators': [456, 96, 912, 924, 2, 1], 'label': '1824.1172.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '57.a1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '228.9', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '12.5'}
-
id: 106616198
{'ambient': '1824.1172', 'aut_centralizer_order': 27648, 'aut_label': '304.a1', 'aut_quo_index': None, 'aut_stab_index': 114, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3151872, 'centralizer': '19.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.a1', '152.a1', '152.b1'], 'contains': ['608.a1', '912.a1'], 'core': '912.a1', 'coset_action_label': None, 'count': 114, 'diagramx': [8723, -1, 2969, -1], 'generators': [1, 920], 'label': '1824.1172.304.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '304.a1', 'projective_image': '912.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '304.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616199
{'ambient': '1824.1172', 'aut_centralizer_order': 165888, 'aut_label': '304.b1', 'aut_quo_index': None, 'aut_stab_index': 19, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3151872, 'centralizer': '19.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '152.a1', '152.c1'], 'contains': ['608.a1', '912.b1'], 'core': '912.b1', 'coset_action_label': None, 'count': 19, 'diagramx': [5061, -1, 4904, -1], 'generators': [912, 920], 'label': '1824.1172.304.b1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '304.b1', 'projective_image': '912.214', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '304.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616200
{'ambient': '1824.1172', 'aut_centralizer_order': 525312, 'aut_label': '456.a1', 'aut_quo_index': 7, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1575936, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['24.a1', '152.a1', '228.a1', '228.b1'], 'contains': ['912.a1', '912.b1'], 'core': '456.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6764, 5192, 4022, 6528], 'generators': [1, 912], 'label': '1824.1172.456.a1', 'mobius_quo': 2, 'mobius_sub': -152, 'normal_closure': '456.a1', 'normal_contained_in': ['24.a1', '228.a1', '228.b1'], 'normal_contains': ['912.a1', '912.b1'], 'normalizer': '1.a1', 'old_label': '456.a1', 'projective_image': '456.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '456.48', 'quotient_action_kernel_order': 456, 'quotient_fusion': None, 'short_label': '456.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616201
{'ambient': '1824.1172', 'aut_centralizer_order': 131328, 'aut_label': '456.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '6.1', 'aut_weyl_index': 525312, 'centralizer': '1.a1', 'complements': ['4.c1'], 'conjugacy_class_count': 4, 'contained_in': ['24.b1', '152.b1', '228.b1'], 'contains': ['912.a1'], 'core': '456.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [9106, 3782, 1873, 5949], 'generators': [1, 2], 'label': '1824.1172.456.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '456.b1', 'normal_contained_in': ['24.b1', '228.b1'], 'normal_contains': ['912.a1'], 'normalizer': '1.a1', 'old_label': '456.b1', 'projective_image': '456.21', 'quotient_action_image': '1.1', 'quotient_action_kernel': '456.21', 'quotient_action_kernel_order': 456, 'quotient_fusion': None, 'short_label': '456.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616202
{'ambient': '1824.1172', 'aut_centralizer_order': 131328, 'aut_label': '456.c1', 'aut_quo_index': 7, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1575936, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['24.c1', '152.c1', '228.a1', '228.c1'], 'contains': ['912.b1'], 'core': '456.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [1487, 6661, 6742, 7343], 'generators': [924], 'label': '1824.1172.456.c1', 'mobius_quo': 0, 'mobius_sub': -152, 'normal_closure': '456.c1', 'normal_contained_in': ['24.c1', '228.a1', '228.c1'], 'normal_contains': ['912.b1'], 'normalizer': '1.a1', 'old_label': '456.c1', 'projective_image': '912.214', 'quotient_action_image': '2.1', 'quotient_action_kernel': '228.9', 'quotient_action_kernel_order': 228, 'quotient_fusion': None, 'short_label': '456.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 106616203
{'ambient': '1824.1172', 'aut_centralizer_order': 165888, 'aut_label': '608.a1', 'aut_quo_index': None, 'aut_stab_index': 19, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3151872, 'centralizer': '19.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '304.a1', '304.b1'], 'contains': ['1824.a1'], 'core': '1824.a1', 'coset_action_label': None, 'count': 19, 'diagramx': [7166, -1, 3867, -1], 'generators': [920], 'label': '1824.1172.608.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1', 'old_label': '608.a1', 'projective_image': '1824.1172', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '608.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616204
{'ambient': '1824.1172', 'aut_centralizer_order': 525312, 'aut_label': '912.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3151872, 'centralizer': '1.a1', 'complements': ['2.a1'], 'conjugacy_class_count': 6, 'contained_in': ['48.a1', '304.a1', '456.a1', '456.b1'], 'contains': ['1824.a1'], 'core': '912.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8372, 3782, 2969, 5949], 'generators': [1], 'label': '1824.1172.912.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '912.a1', 'normal_contained_in': ['48.a1', '456.a1', '456.b1'], 'normal_contains': ['1824.a1'], 'normalizer': '1.a1', 'old_label': '912.a1', 'projective_image': '912.165', 'quotient_action_image': '1.1', 'quotient_action_kernel': '912.165', 'quotient_action_kernel_order': 912, 'quotient_fusion': None, 'short_label': '912.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616205
{'ambient': '1824.1172', 'aut_centralizer_order': 3151872, 'aut_label': '912.b1', 'aut_quo_index': 35, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 3151872, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '304.b1', '456.a1', '456.c1'], 'contains': ['1824.a1'], 'core': '912.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5061, 4986, 4476, 6493], 'generators': [912], 'label': '1824.1172.912.b1', 'mobius_quo': -1, 'mobius_sub': 1216, 'normal_closure': '912.b1', 'normal_contained_in': ['48.b1', '456.a1', '456.c1'], 'normal_contains': ['1824.a1'], 'normalizer': '1.a1', 'old_label': '912.b1', 'projective_image': '912.214', 'quotient_action_image': '1.1', 'quotient_action_kernel': '912.214', 'quotient_action_kernel_order': 912, 'quotient_fusion': None, 'short_label': '912.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616206
{'ambient': '1824.1172', 'aut_centralizer_order': None, 'aut_label': '1824.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '608.a1', '912.a1', '912.b1'], 'contains': [], 'core': '1824.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6706, 3782, 3653, 5949], 'generators': [], 'label': '1824.1172.1824.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1824.a1', 'normal_contained_in': ['96.a1', '912.a1', '912.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1824.a1', 'projective_image': '1824.1172', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1824.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 106616207
{'ambient': '1824.1172', 'aut_centralizer_order': 64, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 18, 'aut_weyl_group': '2736.be', 'aut_weyl_index': 1152, 'centralizer': '114.b1', 'complements': [], 'conjugacy_class_count': 18, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.c1', '12.a1', '76.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4243, 4756, 5711, 3464], 'generators': [912, 96, 920, 12, 1], 'label': '1824.1172.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.c1', '12.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '456.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '114.2'}
-
id: 106616208
{'ambient': '1824.1172', 'aut_centralizer_order': 384, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8208.e', 'aut_weyl_index': 384, 'centralizer': '57.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1'], 'contains': ['8.a1', '8.b1', '12.b1', '76.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8105, 2688, 2445, 1752], 'generators': [920, 96, 912, 2, 1], 'label': '1824.1172.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.a1', '8.b1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '228.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '57.1'}
-
id: 106616209
{'ambient': '1824.1172', 'aut_centralizer_order': 24, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 16, 'aut_weyl_group': '8208.e', 'aut_weyl_index': 384, 'centralizer': '228.b1', 'complements': ['456.b1'], 'conjugacy_class_count': 16, 'contained_in': ['2.a1'], 'contains': ['8.c1', '12.c1', '76.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [561, 7064, 9409, 5106], 'generators': [912, 96, 920, 12, 457], 'label': '1824.1172.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.c1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '912.214', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '228.9'}
-
id: 106616210
{'ambient': '1824.1172', 'aut_centralizer_order': 76, 'aut_label': '6.a1', 'aut_quo_index': 2, 'aut_stab_index': 12, 'aut_weyl_group': None, 'aut_weyl_index': 912, 'centralizer': '12.b1', 'complements': ['304.a1'], 'conjugacy_class_count': 12, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.c1', '114.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2374, 8662, 7715, 7675], 'generators': [96, 912, 456, 924, 1], 'label': '1824.1172.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.c1', '114.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '456.48', 'quotient_action_image': '3.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '12.5'}
-
id: 106616211
{'ambient': '1824.1172', 'aut_centralizer_order': 304, 'aut_label': '6.b1', 'aut_quo_index': 2, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 912, 'centralizer': '6.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.b1', '114.b1'], 'core': '6.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6497, 6850, 3514, 6444], 'generators': [96, 912, 924, 2, 1], 'label': '1824.1172.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.a1', '12.b1', '114.b1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '228.9', 'quotient_action_image': '6.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '6.2'}