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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '480.919', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [4, 4, 4, 6], 'aut_gens': [[1, 2, 8], [245, 247, 13], [1, 242, 475], [1, 7, 111], [1, 121, 90]], 'aut_group': None, 'aut_hash': 8596656399186838937, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 12288, 'aut_permdeg': 30, 'aut_perms': [159163210500281568292638327290412, 155759454552747412435426033126130, 8848246704567947517120964212813, 63984318851403707379571767564554], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [2, 1, 4, 1], [3, 1, 2, 1], [4, 1, 24, 1], [5, 1, 4, 1], [6, 1, 6, 1], [6, 1, 8, 1], [10, 1, 12, 1], [10, 1, 16, 1], [12, 1, 48, 1], [15, 1, 8, 1], [20, 1, 96, 1], [30, 1, 24, 1], [30, 1, 32, 1], [60, 1, 192, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times C_4\\times C_2^6.S_4', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 24, 'autcent_group': None, 'autcent_hash': 8596656399186838937, 'autcent_nilpotent': False, 'autcent_order': 12288, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2\\times C_4\\times C_2^6.S_4', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 7], [3, 1, 2], [4, 1, 24], [5, 1, 4], [6, 1, 14], [10, 1, 28], [12, 1, 48], [15, 1, 8], [20, 1, 96], [30, 1, 56], [60, 1, 192]], 'center_label': '480.919', 'center_order': 480, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 919, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['3.1', 1], ['4.1', 2], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [3, 1, 2, 1], [4, 1, 2, 12], [5, 1, 4, 1], [6, 1, 2, 7], [10, 1, 4, 7], [12, 1, 4, 12], [15, 1, 8, 1], [20, 1, 8, 12], [30, 1, 8, 7], [60, 1, 16, 12]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 2821, 'exponent': 60, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '120.47', 'hash': 919, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1, 1], 'inner_gens': [[1, 2, 8], [1, 2, 8], [1, 2, 8]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 480]], 'label': '480.919', 'linC_count': None, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C2*C4*C60', 'ngens': 7, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 16, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 480, 'number_divisions': 80, 'number_normal_subgroups': 216, 'number_subgroup_autclasses': 48, 'number_subgroup_classes': 216, 'number_subgroups': 216, 'old_label': None, 'order': 480, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 24], [5, 4], [6, 14], [10, 28], [12, 48], [15, 8], [20, 96], [30, 56], [60, 192]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [4, 4, 3, 4], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[5, 124, 134], [1, 363, 380], [241, 360, 254], [245, 120, 227]], 'outer_group': None, 'outer_hash': 8596656399186838937, 'outer_nilpotent': False, 'outer_order': 12288, 'outer_permdeg': 30, 'outer_perms': [118014485420116202904712819931342, 219182020528196612718537792691205, 72890964295058794160865053486462, 73811293597240036471345672796639], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times C_4\\times C_2^6.S_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 4, 3, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 20], [4, 20], [8, 20], [16, 12]], 'representations': {'PC': {'code': 245743619577238945799, 'gens': [1, 2, 4], 'pres': [7, -2, -2, -2, -2, -2, -3, -5, 36, 80, 102, 166]}, 'GLZN': {'d': 2, 'p': 40, 'gens': [1088017, 2513229, 576009, 2312611, 1344021, 192003, 64321]}, 'Perm': {'d': 18, 'gens': [4097379686400, 127008000, 355687428096000, 10080, 96, 1313901388800, 40279680]}}, 'schur_multiplier': [2, 2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4, 60], 'solvability_type': 2, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\times C_4\\times C_{60}', 'transitive_degree': 480, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 105439297
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 919, 'group_order': 480, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 105439408
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 919, 'group_order': 480, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 1, 'size': 1}
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id: 105439519
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 919, 'group_order': 480, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 241, 'size': 1}
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id: 105439630
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 919, 'group_order': 480, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 5, 'size': 1}
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id: 105439722
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 919, 'group_order': 480, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 245, 'size': 1}
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id: 105439733
{'aut_label': '2E', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 919, 'group_order': 480, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 240, 'size': 1}
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id: 105439744
{'aut_label': '2E', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 919, 'group_order': 480, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 4, 'size': 1}
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id: 105439755
{'aut_label': '2E', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 919, 'group_order': 480, 'label': '2G', 'order': 2, 'powers': [1, 8, 8], 'representative': 244, 'size': 1}
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id: 105439766
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 919, 'group_order': 480, 'label': '3A1', 'order': 3, 'powers': [10, 1, 10], 'representative': 320, 'size': 1}
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id: 105439298
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 919, 'group_order': 480, 'label': '3A-1', 'order': 3, 'powers': [9, 1, 9], 'representative': 160, 'size': 1}
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id: 105439309
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 919, 'group_order': 480, 'label': '4A1', 'order': 4, 'powers': [6, 12, 11], 'representative': 120, 'size': 1}
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id: 105439320
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 919, 'group_order': 480, 'label': '4A-1', 'order': 4, 'powers': [6, 11, 12], 'representative': 360, 'size': 1}
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id: 105439331
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 919, 'group_order': 480, 'label': '4B1', 'order': 4, 'powers': [6, 14, 13], 'representative': 124, 'size': 1}
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id: 105439342
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 919, 'group_order': 480, 'label': '4B-1', 'order': 4, 'powers': [6, 13, 14], 'representative': 364, 'size': 1}
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id: 105439353
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 919, 'group_order': 480, 'label': '4C1', 'order': 4, 'powers': [7, 16, 15], 'representative': 6, 'size': 1}
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id: 105439364
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 919, 'group_order': 480, 'label': '4C-1', 'order': 4, 'powers': [7, 15, 16], 'representative': 2, 'size': 1}
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id: 105439375
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 919, 'group_order': 480, 'label': '4D1', 'order': 4, 'powers': [7, 18, 17], 'representative': 246, 'size': 1}
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id: 105439386
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 919, 'group_order': 480, 'label': '4D-1', 'order': 4, 'powers': [7, 17, 18], 'representative': 242, 'size': 1}
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id: 105439397
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 19, 'group_counter': 919, 'group_order': 480, 'label': '4E1', 'order': 4, 'powers': [8, 20, 19], 'representative': 126, 'size': 1}
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id: 105439409
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 919, 'group_order': 480, 'label': '4E-1', 'order': 4, 'powers': [8, 19, 20], 'representative': 362, 'size': 1}
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id: 105439420
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 21, 'group_counter': 919, 'group_order': 480, 'label': '4F1', 'order': 4, 'powers': [6, 22, 21], 'representative': 121, 'size': 1}
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id: 105439431
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 22, 'group_counter': 919, 'group_order': 480, 'label': '4F-1', 'order': 4, 'powers': [6, 21, 22], 'representative': 361, 'size': 1}
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id: 105439442
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 23, 'group_counter': 919, 'group_order': 480, 'label': '4G1', 'order': 4, 'powers': [8, 24, 23], 'representative': 122, 'size': 1}
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id: 105439453
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 24, 'group_counter': 919, 'group_order': 480, 'label': '4G-1', 'order': 4, 'powers': [8, 23, 24], 'representative': 366, 'size': 1}
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id: 105439464
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 919, 'group_order': 480, 'label': '4H1', 'order': 4, 'powers': [6, 26, 25], 'representative': 125, 'size': 1}
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id: 105439475
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 26, 'group_counter': 919, 'group_order': 480, 'label': '4H-1', 'order': 4, 'powers': [6, 25, 26], 'representative': 365, 'size': 1}
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id: 105439486
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 27, 'group_counter': 919, 'group_order': 480, 'label': '4I1', 'order': 4, 'powers': [7, 28, 27], 'representative': 7, 'size': 1}
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id: 105439497
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 28, 'group_counter': 919, 'group_order': 480, 'label': '4I-1', 'order': 4, 'powers': [7, 27, 28], 'representative': 3, 'size': 1}
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id: 105439508
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 919, 'group_order': 480, 'label': '4J1', 'order': 4, 'powers': [7, 30, 29], 'representative': 247, 'size': 1}
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id: 105439520
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 919, 'group_order': 480, 'label': '4J-1', 'order': 4, 'powers': [7, 29, 30], 'representative': 243, 'size': 1}
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id: 105439531
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 31, 'group_counter': 919, 'group_order': 480, 'label': '4K1', 'order': 4, 'powers': [8, 32, 31], 'representative': 127, 'size': 1}
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id: 105439542
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 32, 'group_counter': 919, 'group_order': 480, 'label': '4K-1', 'order': 4, 'powers': [8, 31, 32], 'representative': 363, 'size': 1}
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id: 105439553
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 919, 'group_order': 480, 'label': '4L1', 'order': 4, 'powers': [8, 34, 33], 'representative': 123, 'size': 1}
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id: 105439564
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 919, 'group_order': 480, 'label': '4L-1', 'order': 4, 'powers': [8, 33, 34], 'representative': 367, 'size': 1}
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id: 105439575
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 919, 'group_order': 480, 'label': '5A1', 'order': 5, 'powers': [37, 38, 1], 'representative': 192, 'size': 1}
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id: 105439586
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 919, 'group_order': 480, 'label': '5A-1', 'order': 5, 'powers': [38, 37, 1], 'representative': 288, 'size': 1}
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id: 105439597
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 919, 'group_order': 480, 'label': '5A2', 'order': 5, 'powers': [36, 35, 1], 'representative': 384, 'size': 1}
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id: 105439608
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 919, 'group_order': 480, 'label': '5A-2', 'order': 5, 'powers': [35, 36, 1], 'representative': 96, 'size': 1}
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id: 105439619
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 919, 'group_order': 480, 'label': '6A1', 'order': 6, 'powers': [9, 2, 40], 'representative': 161, 'size': 1}
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id: 105439631
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 919, 'group_order': 480, 'label': '6A-1', 'order': 6, 'powers': [10, 2, 39], 'representative': 321, 'size': 1}
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id: 105439642
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 41, 'group_counter': 919, 'group_order': 480, 'label': '6B1', 'order': 6, 'powers': [10, 3, 42], 'representative': 81, 'size': 1}
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id: 105439653
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 919, 'group_order': 480, 'label': '6B-1', 'order': 6, 'powers': [9, 3, 41], 'representative': 401, 'size': 1}
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id: 105439664
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 43, 'group_counter': 919, 'group_order': 480, 'label': '6C1', 'order': 6, 'powers': [9, 4, 44], 'representative': 165, 'size': 1}
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id: 105439675
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 44, 'group_counter': 919, 'group_order': 480, 'label': '6C-1', 'order': 6, 'powers': [10, 4, 43], 'representative': 325, 'size': 1}
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id: 105439686
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 45, 'group_counter': 919, 'group_order': 480, 'label': '6D1', 'order': 6, 'powers': [10, 5, 46], 'representative': 85, 'size': 1}
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id: 105439697
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 46, 'group_counter': 919, 'group_order': 480, 'label': '6D-1', 'order': 6, 'powers': [9, 5, 45], 'representative': 405, 'size': 1}
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id: 105439708
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 47, 'group_counter': 919, 'group_order': 480, 'label': '6E1', 'order': 6, 'powers': [10, 6, 48], 'representative': 80, 'size': 1}
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id: 105439719
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 48, 'group_counter': 919, 'group_order': 480, 'label': '6E-1', 'order': 6, 'powers': [9, 6, 47], 'representative': 400, 'size': 1}
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id: 105439721
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 49, 'group_counter': 919, 'group_order': 480, 'label': '6F1', 'order': 6, 'powers': [10, 7, 50], 'representative': 324, 'size': 1}
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id: 105439723
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 50, 'group_counter': 919, 'group_order': 480, 'label': '6F-1', 'order': 6, 'powers': [9, 7, 49], 'representative': 164, 'size': 1}
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id: 105439724
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 51, 'group_counter': 919, 'group_order': 480, 'label': '6G1', 'order': 6, 'powers': [10, 8, 52], 'representative': 84, 'size': 1}
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id: 105439725
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 52, 'group_counter': 919, 'group_order': 480, 'label': '6G-1', 'order': 6, 'powers': [9, 8, 51], 'representative': 404, 'size': 1}
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id: 105439726
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 53, 'group_counter': 919, 'group_order': 480, 'label': '10A1', 'order': 10, 'powers': [35, 55, 2], 'representative': 97, 'size': 1}
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id: 105439727
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 54, 'group_counter': 919, 'group_order': 480, 'label': '10A-1', 'order': 10, 'powers': [36, 56, 2], 'representative': 385, 'size': 1}
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id: 105439728
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 55, 'group_counter': 919, 'group_order': 480, 'label': '10A3', 'order': 10, 'powers': [38, 54, 2], 'representative': 289, 'size': 1}
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id: 105439729
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 56, 'group_counter': 919, 'group_order': 480, 'label': '10A-3', 'order': 10, 'powers': [37, 53, 2], 'representative': 193, 'size': 1}
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id: 105439730
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 57, 'group_counter': 919, 'group_order': 480, 'label': '10B1', 'order': 10, 'powers': [38, 59, 3], 'representative': 49, 'size': 1}
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id: 105439731
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 58, 'group_counter': 919, 'group_order': 480, 'label': '10B-1', 'order': 10, 'powers': [37, 60, 3], 'representative': 433, 'size': 1}
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id: 105439732
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 59, 'group_counter': 919, 'group_order': 480, 'label': '10B3', 'order': 10, 'powers': [36, 58, 3], 'representative': 145, 'size': 1}
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id: 105439734
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 60, 'group_counter': 919, 'group_order': 480, 'label': '10B-3', 'order': 10, 'powers': [35, 57, 3], 'representative': 337, 'size': 1}
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id: 105439735
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 61, 'group_counter': 919, 'group_order': 480, 'label': '10C1', 'order': 10, 'powers': [35, 63, 4], 'representative': 101, 'size': 1}
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id: 105439736
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 62, 'group_counter': 919, 'group_order': 480, 'label': '10C-1', 'order': 10, 'powers': [36, 64, 4], 'representative': 389, 'size': 1}
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id: 105439737
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 63, 'group_counter': 919, 'group_order': 480, 'label': '10C3', 'order': 10, 'powers': [38, 62, 4], 'representative': 293, 'size': 1}
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id: 105439738
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 64, 'group_counter': 919, 'group_order': 480, 'label': '10C-3', 'order': 10, 'powers': [37, 61, 4], 'representative': 197, 'size': 1}
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id: 105439739
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 65, 'group_counter': 919, 'group_order': 480, 'label': '10D1', 'order': 10, 'powers': [38, 67, 5], 'representative': 53, 'size': 1}
-
id: 105439740
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 66, 'group_counter': 919, 'group_order': 480, 'label': '10D-1', 'order': 10, 'powers': [37, 68, 5], 'representative': 437, 'size': 1}
-
id: 105439741
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 67, 'group_counter': 919, 'group_order': 480, 'label': '10D3', 'order': 10, 'powers': [36, 66, 5], 'representative': 149, 'size': 1}
-
id: 105439742
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 68, 'group_counter': 919, 'group_order': 480, 'label': '10D-3', 'order': 10, 'powers': [35, 65, 5], 'representative': 341, 'size': 1}
-
id: 105439743
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 919, 'group_order': 480, 'label': '10E1', 'order': 10, 'powers': [38, 71, 6], 'representative': 48, 'size': 1}
-
id: 105439745
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 919, 'group_order': 480, 'label': '10E-1', 'order': 10, 'powers': [37, 72, 6], 'representative': 432, 'size': 1}
-
id: 105439746
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 71, 'group_counter': 919, 'group_order': 480, 'label': '10E3', 'order': 10, 'powers': [36, 70, 6], 'representative': 144, 'size': 1}
-
id: 105439747
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 72, 'group_counter': 919, 'group_order': 480, 'label': '10E-3', 'order': 10, 'powers': [35, 69, 6], 'representative': 336, 'size': 1}
-
id: 105439748
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 919, 'group_order': 480, 'label': '10F1', 'order': 10, 'powers': [37, 75, 7], 'representative': 196, 'size': 1}
-
id: 105439749
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 919, 'group_order': 480, 'label': '10F-1', 'order': 10, 'powers': [38, 76, 7], 'representative': 292, 'size': 1}
-
id: 105439750
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 919, 'group_order': 480, 'label': '10F3', 'order': 10, 'powers': [35, 74, 7], 'representative': 100, 'size': 1}
-
id: 105439751
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 919, 'group_order': 480, 'label': '10F-3', 'order': 10, 'powers': [36, 73, 7], 'representative': 388, 'size': 1}
-
id: 105439752
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 919, 'group_order': 480, 'label': '10G1', 'order': 10, 'powers': [38, 79, 8], 'representative': 52, 'size': 1}
-
id: 105439753
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 919, 'group_order': 480, 'label': '10G-1', 'order': 10, 'powers': [37, 80, 8], 'representative': 436, 'size': 1}
-
id: 105439754
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 919, 'group_order': 480, 'label': '10G3', 'order': 10, 'powers': [36, 78, 8], 'representative': 148, 'size': 1}
-
id: 105439756
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 919, 'group_order': 480, 'label': '10G-3', 'order': 10, 'powers': [35, 77, 8], 'representative': 340, 'size': 1}
-
id: 105439757
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 81, 'group_counter': 919, 'group_order': 480, 'label': '12A1', 'order': 12, 'powers': [47, 11, 83], 'representative': 40, 'size': 1}
-
id: 105439758
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 82, 'group_counter': 919, 'group_order': 480, 'label': '12A-1', 'order': 12, 'powers': [48, 12, 84], 'representative': 440, 'size': 1}
-
id: 105439759
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 83, 'group_counter': 919, 'group_order': 480, 'label': '12A5', 'order': 12, 'powers': [48, 11, 81], 'representative': 200, 'size': 1}
-
id: 105439760
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 84, 'group_counter': 919, 'group_order': 480, 'label': '12A-5', 'order': 12, 'powers': [47, 12, 82], 'representative': 280, 'size': 1}
-
id: 105439761
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 85, 'group_counter': 919, 'group_order': 480, 'label': '12B1', 'order': 12, 'powers': [47, 13, 87], 'representative': 44, 'size': 1}
-
id: 105439762
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 86, 'group_counter': 919, 'group_order': 480, 'label': '12B-1', 'order': 12, 'powers': [48, 14, 88], 'representative': 444, 'size': 1}
-
id: 105439763
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 87, 'group_counter': 919, 'group_order': 480, 'label': '12B5', 'order': 12, 'powers': [48, 13, 85], 'representative': 204, 'size': 1}
-
id: 105439764
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 88, 'group_counter': 919, 'group_order': 480, 'label': '12B-5', 'order': 12, 'powers': [47, 14, 86], 'representative': 284, 'size': 1}
-
id: 105439765
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 89, 'group_counter': 919, 'group_order': 480, 'label': '12C1', 'order': 12, 'powers': [49, 15, 91], 'representative': 162, 'size': 1}
-
id: 105439767
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 90, 'group_counter': 919, 'group_order': 480, 'label': '12C-1', 'order': 12, 'powers': [50, 16, 92], 'representative': 326, 'size': 1}
-
id: 105439768
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 91, 'group_counter': 919, 'group_order': 480, 'label': '12C5', 'order': 12, 'powers': [50, 15, 89], 'representative': 322, 'size': 1}
-
id: 105439769
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 92, 'group_counter': 919, 'group_order': 480, 'label': '12C-5', 'order': 12, 'powers': [49, 16, 90], 'representative': 166, 'size': 1}
-
id: 105439770
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 93, 'group_counter': 919, 'group_order': 480, 'label': '12D1', 'order': 12, 'powers': [50, 17, 95], 'representative': 82, 'size': 1}
-
id: 105439771
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 94, 'group_counter': 919, 'group_order': 480, 'label': '12D-1', 'order': 12, 'powers': [49, 18, 96], 'representative': 406, 'size': 1}
-
id: 105439772
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 95, 'group_counter': 919, 'group_order': 480, 'label': '12D5', 'order': 12, 'powers': [49, 17, 93], 'representative': 402, 'size': 1}
-
id: 105439773
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 96, 'group_counter': 919, 'group_order': 480, 'label': '12D-5', 'order': 12, 'powers': [50, 18, 94], 'representative': 86, 'size': 1}
-
id: 105439774
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 97, 'group_counter': 919, 'group_order': 480, 'label': '12E1', 'order': 12, 'powers': [51, 19, 99], 'representative': 42, 'size': 1}
-
id: 105439775
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 98, 'group_counter': 919, 'group_order': 480, 'label': '12E-1', 'order': 12, 'powers': [52, 20, 100], 'representative': 446, 'size': 1}
-
id: 105439776
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 99, 'group_counter': 919, 'group_order': 480, 'label': '12E5', 'order': 12, 'powers': [52, 19, 97], 'representative': 202, 'size': 1}
-
id: 105439299
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 100, 'group_counter': 919, 'group_order': 480, 'label': '12E-5', 'order': 12, 'powers': [51, 20, 98], 'representative': 286, 'size': 1}
-
id: 105439300
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 101, 'group_counter': 919, 'group_order': 480, 'label': '12F1', 'order': 12, 'powers': [47, 21, 103], 'representative': 41, 'size': 1}
-
id: 105439301
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 102, 'group_counter': 919, 'group_order': 480, 'label': '12F-1', 'order': 12, 'powers': [48, 22, 104], 'representative': 441, 'size': 1}
-
id: 105439302
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 103, 'group_counter': 919, 'group_order': 480, 'label': '12F5', 'order': 12, 'powers': [48, 21, 101], 'representative': 201, 'size': 1}
-
id: 105439303
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 104, 'group_counter': 919, 'group_order': 480, 'label': '12F-5', 'order': 12, 'powers': [47, 22, 102], 'representative': 281, 'size': 1}
-
id: 105439304
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 105, 'group_counter': 919, 'group_order': 480, 'label': '12G1', 'order': 12, 'powers': [51, 23, 107], 'representative': 46, 'size': 1}
-
id: 105439305
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 106, 'group_counter': 919, 'group_order': 480, 'label': '12G-1', 'order': 12, 'powers': [52, 24, 108], 'representative': 442, 'size': 1}
-
id: 105439306
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 107, 'group_counter': 919, 'group_order': 480, 'label': '12G5', 'order': 12, 'powers': [52, 23, 105], 'representative': 206, 'size': 1}
-
id: 105439307
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 108, 'group_counter': 919, 'group_order': 480, 'label': '12G-5', 'order': 12, 'powers': [51, 24, 106], 'representative': 282, 'size': 1}
-
id: 105439308
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 109, 'group_counter': 919, 'group_order': 480, 'label': '12H1', 'order': 12, 'powers': [47, 25, 111], 'representative': 45, 'size': 1}
-
id: 105439310
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 110, 'group_counter': 919, 'group_order': 480, 'label': '12H-1', 'order': 12, 'powers': [48, 26, 112], 'representative': 445, 'size': 1}
-
id: 105439311
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 111, 'group_counter': 919, 'group_order': 480, 'label': '12H5', 'order': 12, 'powers': [48, 25, 109], 'representative': 205, 'size': 1}
-
id: 105439312
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 112, 'group_counter': 919, 'group_order': 480, 'label': '12H-5', 'order': 12, 'powers': [47, 26, 110], 'representative': 285, 'size': 1}
-
id: 105439313
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 113, 'group_counter': 919, 'group_order': 480, 'label': '12I1', 'order': 12, 'powers': [49, 27, 115], 'representative': 163, 'size': 1}
-
id: 105439314
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 114, 'group_counter': 919, 'group_order': 480, 'label': '12I-1', 'order': 12, 'powers': [50, 28, 116], 'representative': 327, 'size': 1}
-
id: 105439315
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 115, 'group_counter': 919, 'group_order': 480, 'label': '12I5', 'order': 12, 'powers': [50, 27, 113], 'representative': 323, 'size': 1}
-
id: 105439316
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 116, 'group_counter': 919, 'group_order': 480, 'label': '12I-5', 'order': 12, 'powers': [49, 28, 114], 'representative': 167, 'size': 1}
-
id: 105439317
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 117, 'group_counter': 919, 'group_order': 480, 'label': '12J1', 'order': 12, 'powers': [50, 29, 119], 'representative': 83, 'size': 1}
-
id: 105439318
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 118, 'group_counter': 919, 'group_order': 480, 'label': '12J-1', 'order': 12, 'powers': [49, 30, 120], 'representative': 407, 'size': 1}
-
id: 105439319
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 119, 'group_counter': 919, 'group_order': 480, 'label': '12J5', 'order': 12, 'powers': [49, 29, 117], 'representative': 403, 'size': 1}
-
id: 105439321
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 120, 'group_counter': 919, 'group_order': 480, 'label': '12J-5', 'order': 12, 'powers': [50, 30, 118], 'representative': 87, 'size': 1}
-
id: 105439322
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 121, 'group_counter': 919, 'group_order': 480, 'label': '12K1', 'order': 12, 'powers': [51, 31, 123], 'representative': 43, 'size': 1}
-
id: 105439323
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 122, 'group_counter': 919, 'group_order': 480, 'label': '12K-1', 'order': 12, 'powers': [52, 32, 124], 'representative': 447, 'size': 1}
-
id: 105439324
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 123, 'group_counter': 919, 'group_order': 480, 'label': '12K5', 'order': 12, 'powers': [52, 31, 121], 'representative': 203, 'size': 1}
-
id: 105439325
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 124, 'group_counter': 919, 'group_order': 480, 'label': '12K-5', 'order': 12, 'powers': [51, 32, 122], 'representative': 287, 'size': 1}
-
id: 105439326
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 125, 'group_counter': 919, 'group_order': 480, 'label': '12L1', 'order': 12, 'powers': [51, 33, 127], 'representative': 47, 'size': 1}
-
id: 105439327
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 126, 'group_counter': 919, 'group_order': 480, 'label': '12L-1', 'order': 12, 'powers': [52, 34, 128], 'representative': 443, 'size': 1}
-
id: 105439328
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 127, 'group_counter': 919, 'group_order': 480, 'label': '12L5', 'order': 12, 'powers': [52, 33, 125], 'representative': 207, 'size': 1}
-
id: 105439329
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 128, 'group_counter': 919, 'group_order': 480, 'label': '12L-5', 'order': 12, 'powers': [51, 34, 126], 'representative': 283, 'size': 1}
-
id: 105439330
{'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 129, 'group_counter': 919, 'group_order': 480, 'label': '15A1', 'order': 15, 'powers': [131, 35, 9], 'representative': 64, 'size': 1}
-
id: 105439332
{'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 130, 'group_counter': 919, 'group_order': 480, 'label': '15A-1', 'order': 15, 'powers': [132, 36, 10], 'representative': 416, 'size': 1}
-
id: 105439333
{'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 131, 'group_counter': 919, 'group_order': 480, 'label': '15A2', 'order': 15, 'powers': [133, 37, 10], 'representative': 128, 'size': 1}
-
id: 105439334
{'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 132, 'group_counter': 919, 'group_order': 480, 'label': '15A-2', 'order': 15, 'powers': [134, 38, 9], 'representative': 352, 'size': 1}
-
id: 105439335
{'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 133, 'group_counter': 919, 'group_order': 480, 'label': '15A4', 'order': 15, 'powers': [136, 36, 9], 'representative': 256, 'size': 1}
-
id: 105439336
{'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 134, 'group_counter': 919, 'group_order': 480, 'label': '15A-4', 'order': 15, 'powers': [135, 35, 10], 'representative': 224, 'size': 1}
-
id: 105439337
{'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 135, 'group_counter': 919, 'group_order': 480, 'label': '15A7', 'order': 15, 'powers': [130, 37, 9], 'representative': 448, 'size': 1}
-
id: 105439338
{'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 136, 'group_counter': 919, 'group_order': 480, 'label': '15A-7', 'order': 15, 'powers': [129, 38, 10], 'representative': 32, 'size': 1}
-
id: 105439339
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 137, 'group_counter': 919, 'group_order': 480, 'label': '20A1', 'order': 20, 'powers': [69, 139, 11], 'representative': 24, 'size': 1}
-
id: 105439340
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 138, 'group_counter': 919, 'group_order': 480, 'label': '20A-1', 'order': 20, 'powers': [70, 140, 12], 'representative': 456, 'size': 1}
-
id: 105439341
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 139, 'group_counter': 919, 'group_order': 480, 'label': '20A3', 'order': 20, 'powers': [71, 143, 12], 'representative': 72, 'size': 1}
-
id: 105439343
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 140, 'group_counter': 919, 'group_order': 480, 'label': '20A-3', 'order': 20, 'powers': [72, 144, 11], 'representative': 408, 'size': 1}
-
id: 105439344
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 141, 'group_counter': 919, 'group_order': 480, 'label': '20A7', 'order': 20, 'powers': [72, 137, 12], 'representative': 168, 'size': 1}
-
id: 105439345
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 142, 'group_counter': 919, 'group_order': 480, 'label': '20A-7', 'order': 20, 'powers': [71, 138, 11], 'representative': 312, 'size': 1}
-
id: 105439346
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 143, 'group_counter': 919, 'group_order': 480, 'label': '20A9', 'order': 20, 'powers': [70, 141, 11], 'representative': 216, 'size': 1}
-
id: 105439347
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 144, 'group_counter': 919, 'group_order': 480, 'label': '20A-9', 'order': 20, 'powers': [69, 142, 12], 'representative': 264, 'size': 1}
-
id: 105439348
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 145, 'group_counter': 919, 'group_order': 480, 'label': '20B1', 'order': 20, 'powers': [69, 147, 13], 'representative': 28, 'size': 1}
-
id: 105439349
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 146, 'group_counter': 919, 'group_order': 480, 'label': '20B-1', 'order': 20, 'powers': [70, 148, 14], 'representative': 460, 'size': 1}
-
id: 105439350
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 147, 'group_counter': 919, 'group_order': 480, 'label': '20B3', 'order': 20, 'powers': [71, 151, 14], 'representative': 76, 'size': 1}
-
id: 105439351
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 148, 'group_counter': 919, 'group_order': 480, 'label': '20B-3', 'order': 20, 'powers': [72, 152, 13], 'representative': 412, 'size': 1}
-
id: 105439352
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 149, 'group_counter': 919, 'group_order': 480, 'label': '20B7', 'order': 20, 'powers': [72, 145, 14], 'representative': 172, 'size': 1}
-
id: 105439354
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 150, 'group_counter': 919, 'group_order': 480, 'label': '20B-7', 'order': 20, 'powers': [71, 146, 13], 'representative': 316, 'size': 1}
-
id: 105439355
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 151, 'group_counter': 919, 'group_order': 480, 'label': '20B9', 'order': 20, 'powers': [70, 149, 13], 'representative': 220, 'size': 1}
-
id: 105439356
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 152, 'group_counter': 919, 'group_order': 480, 'label': '20B-9', 'order': 20, 'powers': [69, 150, 14], 'representative': 268, 'size': 1}
-
id: 105439357
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 153, 'group_counter': 919, 'group_order': 480, 'label': '20C1', 'order': 20, 'powers': [73, 155, 15], 'representative': 102, 'size': 1}
-
id: 105439358
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 154, 'group_counter': 919, 'group_order': 480, 'label': '20C-1', 'order': 20, 'powers': [74, 156, 16], 'representative': 386, 'size': 1}
-
id: 105439359
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 155, 'group_counter': 919, 'group_order': 480, 'label': '20C3', 'order': 20, 'powers': [75, 159, 16], 'representative': 290, 'size': 1}
-
id: 105439360
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 156, 'group_counter': 919, 'group_order': 480, 'label': '20C-3', 'order': 20, 'powers': [76, 160, 15], 'representative': 198, 'size': 1}
-
id: 105439361
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 157, 'group_counter': 919, 'group_order': 480, 'label': '20C7', 'order': 20, 'powers': [76, 153, 16], 'representative': 194, 'size': 1}
-
id: 105439362
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 158, 'group_counter': 919, 'group_order': 480, 'label': '20C-7', 'order': 20, 'powers': [75, 154, 15], 'representative': 294, 'size': 1}
-
id: 105439363
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 159, 'group_counter': 919, 'group_order': 480, 'label': '20C9', 'order': 20, 'powers': [74, 157, 15], 'representative': 390, 'size': 1}
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id: 105439365
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 160, 'group_counter': 919, 'group_order': 480, 'label': '20C-9', 'order': 20, 'powers': [73, 158, 16], 'representative': 98, 'size': 1}
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id: 105439366
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 161, 'group_counter': 919, 'group_order': 480, 'label': '20D1', 'order': 20, 'powers': [75, 163, 17], 'representative': 54, 'size': 1}
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id: 105439367
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 162, 'group_counter': 919, 'group_order': 480, 'label': '20D-1', 'order': 20, 'powers': [76, 164, 18], 'representative': 434, 'size': 1}
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id: 105439368
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 163, 'group_counter': 919, 'group_order': 480, 'label': '20D3', 'order': 20, 'powers': [74, 167, 18], 'representative': 146, 'size': 1}
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id: 105439369
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 164, 'group_counter': 919, 'group_order': 480, 'label': '20D-3', 'order': 20, 'powers': [73, 168, 17], 'representative': 342, 'size': 1}
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id: 105439370
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 165, 'group_counter': 919, 'group_order': 480, 'label': '20D7', 'order': 20, 'powers': [73, 161, 18], 'representative': 338, 'size': 1}
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id: 105439371
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 166, 'group_counter': 919, 'group_order': 480, 'label': '20D-7', 'order': 20, 'powers': [74, 162, 17], 'representative': 150, 'size': 1}
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id: 105439372
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 167, 'group_counter': 919, 'group_order': 480, 'label': '20D9', 'order': 20, 'powers': [76, 165, 17], 'representative': 438, 'size': 1}
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id: 105439373
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 168, 'group_counter': 919, 'group_order': 480, 'label': '20D-9', 'order': 20, 'powers': [75, 166, 18], 'representative': 50, 'size': 1}
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id: 105439374
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 169, 'group_counter': 919, 'group_order': 480, 'label': '20E1', 'order': 20, 'powers': [77, 171, 19], 'representative': 30, 'size': 1}
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id: 105439376
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 170, 'group_counter': 919, 'group_order': 480, 'label': '20E-1', 'order': 20, 'powers': [78, 172, 20], 'representative': 458, 'size': 1}
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id: 105439377
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 171, 'group_counter': 919, 'group_order': 480, 'label': '20E3', 'order': 20, 'powers': [79, 175, 20], 'representative': 74, 'size': 1}
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id: 105439378
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 172, 'group_counter': 919, 'group_order': 480, 'label': '20E-3', 'order': 20, 'powers': [80, 176, 19], 'representative': 414, 'size': 1}
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id: 105439379
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 173, 'group_counter': 919, 'group_order': 480, 'label': '20E7', 'order': 20, 'powers': [80, 169, 20], 'representative': 170, 'size': 1}
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id: 105439380
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 174, 'group_counter': 919, 'group_order': 480, 'label': '20E-7', 'order': 20, 'powers': [79, 170, 19], 'representative': 318, 'size': 1}
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id: 105439381
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 175, 'group_counter': 919, 'group_order': 480, 'label': '20E9', 'order': 20, 'powers': [78, 173, 19], 'representative': 222, 'size': 1}
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id: 105439382
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 176, 'group_counter': 919, 'group_order': 480, 'label': '20E-9', 'order': 20, 'powers': [77, 174, 20], 'representative': 266, 'size': 1}
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id: 105439383
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 177, 'group_counter': 919, 'group_order': 480, 'label': '20F1', 'order': 20, 'powers': [69, 179, 21], 'representative': 25, 'size': 1}
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id: 105439384
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 178, 'group_counter': 919, 'group_order': 480, 'label': '20F-1', 'order': 20, 'powers': [70, 180, 22], 'representative': 457, 'size': 1}
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id: 105439385
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 179, 'group_counter': 919, 'group_order': 480, 'label': '20F3', 'order': 20, 'powers': [71, 183, 22], 'representative': 73, 'size': 1}
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id: 105439387
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 180, 'group_counter': 919, 'group_order': 480, 'label': '20F-3', 'order': 20, 'powers': [72, 184, 21], 'representative': 409, 'size': 1}
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id: 105439388
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 181, 'group_counter': 919, 'group_order': 480, 'label': '20F7', 'order': 20, 'powers': [72, 177, 22], 'representative': 169, 'size': 1}
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id: 105439389
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 182, 'group_counter': 919, 'group_order': 480, 'label': '20F-7', 'order': 20, 'powers': [71, 178, 21], 'representative': 313, 'size': 1}
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id: 105439390
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 183, 'group_counter': 919, 'group_order': 480, 'label': '20F9', 'order': 20, 'powers': [70, 181, 21], 'representative': 217, 'size': 1}
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id: 105439391
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 184, 'group_counter': 919, 'group_order': 480, 'label': '20F-9', 'order': 20, 'powers': [69, 182, 22], 'representative': 265, 'size': 1}
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id: 105439392
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 185, 'group_counter': 919, 'group_order': 480, 'label': '20G1', 'order': 20, 'powers': [77, 187, 23], 'representative': 26, 'size': 1}
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id: 105439393
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 186, 'group_counter': 919, 'group_order': 480, 'label': '20G-1', 'order': 20, 'powers': [78, 188, 24], 'representative': 462, 'size': 1}
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id: 105439394
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 187, 'group_counter': 919, 'group_order': 480, 'label': '20G3', 'order': 20, 'powers': [79, 191, 24], 'representative': 78, 'size': 1}
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id: 105439395
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 188, 'group_counter': 919, 'group_order': 480, 'label': '20G-3', 'order': 20, 'powers': [80, 192, 23], 'representative': 410, 'size': 1}
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id: 105439396
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 189, 'group_counter': 919, 'group_order': 480, 'label': '20G7', 'order': 20, 'powers': [80, 185, 24], 'representative': 174, 'size': 1}
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id: 105439398
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 190, 'group_counter': 919, 'group_order': 480, 'label': '20G-7', 'order': 20, 'powers': [79, 186, 23], 'representative': 314, 'size': 1}
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id: 105439399
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 191, 'group_counter': 919, 'group_order': 480, 'label': '20G9', 'order': 20, 'powers': [78, 189, 23], 'representative': 218, 'size': 1}
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id: 105439400
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 192, 'group_counter': 919, 'group_order': 480, 'label': '20G-9', 'order': 20, 'powers': [77, 190, 24], 'representative': 270, 'size': 1}
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id: 105439401
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 193, 'group_counter': 919, 'group_order': 480, 'label': '20H1', 'order': 20, 'powers': [69, 195, 25], 'representative': 29, 'size': 1}
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id: 105439402
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 194, 'group_counter': 919, 'group_order': 480, 'label': '20H-1', 'order': 20, 'powers': [70, 196, 26], 'representative': 461, 'size': 1}
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id: 105439403
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 195, 'group_counter': 919, 'group_order': 480, 'label': '20H3', 'order': 20, 'powers': [71, 199, 26], 'representative': 77, 'size': 1}
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id: 105439404
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 196, 'group_counter': 919, 'group_order': 480, 'label': '20H-3', 'order': 20, 'powers': [72, 200, 25], 'representative': 413, 'size': 1}
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id: 105439405
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 197, 'group_counter': 919, 'group_order': 480, 'label': '20H7', 'order': 20, 'powers': [72, 193, 26], 'representative': 173, 'size': 1}
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id: 105439406
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 198, 'group_counter': 919, 'group_order': 480, 'label': '20H-7', 'order': 20, 'powers': [71, 194, 25], 'representative': 317, 'size': 1}
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id: 105439407
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 199, 'group_counter': 919, 'group_order': 480, 'label': '20H9', 'order': 20, 'powers': [70, 197, 25], 'representative': 221, 'size': 1}
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id: 105439410
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 200, 'group_counter': 919, 'group_order': 480, 'label': '20H-9', 'order': 20, 'powers': [69, 198, 26], 'representative': 269, 'size': 1}
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id: 105439411
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 201, 'group_counter': 919, 'group_order': 480, 'label': '20I1', 'order': 20, 'powers': [73, 203, 27], 'representative': 103, 'size': 1}
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id: 105439412
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 202, 'group_counter': 919, 'group_order': 480, 'label': '20I-1', 'order': 20, 'powers': [74, 204, 28], 'representative': 387, 'size': 1}
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id: 105439413
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 203, 'group_counter': 919, 'group_order': 480, 'label': '20I3', 'order': 20, 'powers': [75, 207, 28], 'representative': 291, 'size': 1}
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id: 105439414
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 204, 'group_counter': 919, 'group_order': 480, 'label': '20I-3', 'order': 20, 'powers': [76, 208, 27], 'representative': 199, 'size': 1}
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id: 105439415
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 205, 'group_counter': 919, 'group_order': 480, 'label': '20I7', 'order': 20, 'powers': [76, 201, 28], 'representative': 195, 'size': 1}
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id: 105439416
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 206, 'group_counter': 919, 'group_order': 480, 'label': '20I-7', 'order': 20, 'powers': [75, 202, 27], 'representative': 295, 'size': 1}
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id: 105439417
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 207, 'group_counter': 919, 'group_order': 480, 'label': '20I9', 'order': 20, 'powers': [74, 205, 27], 'representative': 391, 'size': 1}
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id: 105439418
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 208, 'group_counter': 919, 'group_order': 480, 'label': '20I-9', 'order': 20, 'powers': [73, 206, 28], 'representative': 99, 'size': 1}
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id: 105439419
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 209, 'group_counter': 919, 'group_order': 480, 'label': '20J1', 'order': 20, 'powers': [75, 211, 29], 'representative': 55, 'size': 1}
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id: 105439421
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 210, 'group_counter': 919, 'group_order': 480, 'label': '20J-1', 'order': 20, 'powers': [76, 212, 30], 'representative': 435, 'size': 1}
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id: 105439422
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 211, 'group_counter': 919, 'group_order': 480, 'label': '20J3', 'order': 20, 'powers': [74, 215, 30], 'representative': 147, 'size': 1}
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id: 105439423
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 212, 'group_counter': 919, 'group_order': 480, 'label': '20J-3', 'order': 20, 'powers': [73, 216, 29], 'representative': 343, 'size': 1}
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id: 105439424
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 213, 'group_counter': 919, 'group_order': 480, 'label': '20J7', 'order': 20, 'powers': [73, 209, 30], 'representative': 339, 'size': 1}
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id: 105439425
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 214, 'group_counter': 919, 'group_order': 480, 'label': '20J-7', 'order': 20, 'powers': [74, 210, 29], 'representative': 151, 'size': 1}
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id: 105439426
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 215, 'group_counter': 919, 'group_order': 480, 'label': '20J9', 'order': 20, 'powers': [76, 213, 29], 'representative': 439, 'size': 1}
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id: 105439427
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 216, 'group_counter': 919, 'group_order': 480, 'label': '20J-9', 'order': 20, 'powers': [75, 214, 30], 'representative': 51, 'size': 1}
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id: 105439428
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 217, 'group_counter': 919, 'group_order': 480, 'label': '20K1', 'order': 20, 'powers': [77, 219, 31], 'representative': 31, 'size': 1}
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id: 105439429
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 218, 'group_counter': 919, 'group_order': 480, 'label': '20K-1', 'order': 20, 'powers': [78, 220, 32], 'representative': 459, 'size': 1}
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id: 105439430
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 219, 'group_counter': 919, 'group_order': 480, 'label': '20K3', 'order': 20, 'powers': [79, 223, 32], 'representative': 75, 'size': 1}
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id: 105439432
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 220, 'group_counter': 919, 'group_order': 480, 'label': '20K-3', 'order': 20, 'powers': [80, 224, 31], 'representative': 415, 'size': 1}
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id: 105439433
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 221, 'group_counter': 919, 'group_order': 480, 'label': '20K7', 'order': 20, 'powers': [80, 217, 32], 'representative': 171, 'size': 1}
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id: 105439434
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 222, 'group_counter': 919, 'group_order': 480, 'label': '20K-7', 'order': 20, 'powers': [79, 218, 31], 'representative': 319, 'size': 1}
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id: 105439435
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 223, 'group_counter': 919, 'group_order': 480, 'label': '20K9', 'order': 20, 'powers': [78, 221, 31], 'representative': 223, 'size': 1}
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id: 105439436
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 224, 'group_counter': 919, 'group_order': 480, 'label': '20K-9', 'order': 20, 'powers': [77, 222, 32], 'representative': 267, 'size': 1}
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id: 105439437
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 225, 'group_counter': 919, 'group_order': 480, 'label': '20L1', 'order': 20, 'powers': [77, 227, 33], 'representative': 27, 'size': 1}
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id: 105439438
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 226, 'group_counter': 919, 'group_order': 480, 'label': '20L-1', 'order': 20, 'powers': [78, 228, 34], 'representative': 463, 'size': 1}
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id: 105439439
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 227, 'group_counter': 919, 'group_order': 480, 'label': '20L3', 'order': 20, 'powers': [79, 231, 34], 'representative': 79, 'size': 1}
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id: 105439440
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 228, 'group_counter': 919, 'group_order': 480, 'label': '20L-3', 'order': 20, 'powers': [80, 232, 33], 'representative': 411, 'size': 1}
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id: 105439441
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 229, 'group_counter': 919, 'group_order': 480, 'label': '20L7', 'order': 20, 'powers': [80, 225, 34], 'representative': 175, 'size': 1}
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id: 105439443
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 230, 'group_counter': 919, 'group_order': 480, 'label': '20L-7', 'order': 20, 'powers': [79, 226, 33], 'representative': 315, 'size': 1}
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id: 105439444
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 231, 'group_counter': 919, 'group_order': 480, 'label': '20L9', 'order': 20, 'powers': [78, 229, 33], 'representative': 219, 'size': 1}
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id: 105439445
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 232, 'group_counter': 919, 'group_order': 480, 'label': '20L-9', 'order': 20, 'powers': [77, 230, 34], 'representative': 271, 'size': 1}
-
id: 105439446
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 233, 'group_counter': 919, 'group_order': 480, 'label': '30A1', 'order': 30, 'powers': [129, 53, 39], 'representative': 33, 'size': 1}
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id: 105439447
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 234, 'group_counter': 919, 'group_order': 480, 'label': '30A-1', 'order': 30, 'powers': [130, 54, 40], 'representative': 449, 'size': 1}
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id: 105439448
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 235, 'group_counter': 919, 'group_order': 480, 'label': '30A7', 'order': 30, 'powers': [135, 56, 39], 'representative': 225, 'size': 1}
-
id: 105439449
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 236, 'group_counter': 919, 'group_order': 480, 'label': '30A-7', 'order': 30, 'powers': [136, 55, 40], 'representative': 257, 'size': 1}
-
id: 105439450
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 237, 'group_counter': 919, 'group_order': 480, 'label': '30A11', 'order': 30, 'powers': [134, 53, 40], 'representative': 353, 'size': 1}
-
id: 105439451
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 238, 'group_counter': 919, 'group_order': 480, 'label': '30A-11', 'order': 30, 'powers': [133, 54, 39], 'representative': 129, 'size': 1}
-
id: 105439452
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 239, 'group_counter': 919, 'group_order': 480, 'label': '30A13', 'order': 30, 'powers': [132, 55, 39], 'representative': 417, 'size': 1}
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id: 105439454
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 240, 'group_counter': 919, 'group_order': 480, 'label': '30A-13', 'order': 30, 'powers': [131, 56, 40], 'representative': 65, 'size': 1}
-
id: 105439455
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 241, 'group_counter': 919, 'group_order': 480, 'label': '30B1', 'order': 30, 'powers': [136, 57, 41], 'representative': 17, 'size': 1}
-
id: 105439456
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 242, 'group_counter': 919, 'group_order': 480, 'label': '30B-1', 'order': 30, 'powers': [135, 58, 42], 'representative': 465, 'size': 1}
-
id: 105439457
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 243, 'group_counter': 919, 'group_order': 480, 'label': '30B7', 'order': 30, 'powers': [134, 60, 41], 'representative': 113, 'size': 1}
-
id: 105439458
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 244, 'group_counter': 919, 'group_order': 480, 'label': '30B-7', 'order': 30, 'powers': [133, 59, 42], 'representative': 369, 'size': 1}
-
id: 105439459
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 245, 'group_counter': 919, 'group_order': 480, 'label': '30B11', 'order': 30, 'powers': [132, 57, 42], 'representative': 177, 'size': 1}
-
id: 105439460
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 246, 'group_counter': 919, 'group_order': 480, 'label': '30B-11', 'order': 30, 'powers': [131, 58, 41], 'representative': 305, 'size': 1}
-
id: 105439461
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 247, 'group_counter': 919, 'group_order': 480, 'label': '30B13', 'order': 30, 'powers': [130, 59, 41], 'representative': 209, 'size': 1}
-
id: 105439462
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 248, 'group_counter': 919, 'group_order': 480, 'label': '30B-13', 'order': 30, 'powers': [129, 60, 42], 'representative': 273, 'size': 1}
-
id: 105439463
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 249, 'group_counter': 919, 'group_order': 480, 'label': '30C1', 'order': 30, 'powers': [129, 61, 43], 'representative': 37, 'size': 1}
-
id: 105439465
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 250, 'group_counter': 919, 'group_order': 480, 'label': '30C-1', 'order': 30, 'powers': [130, 62, 44], 'representative': 453, 'size': 1}
-
id: 105439466
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 251, 'group_counter': 919, 'group_order': 480, 'label': '30C7', 'order': 30, 'powers': [135, 64, 43], 'representative': 229, 'size': 1}
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id: 105439467
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id: 105439468
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 253, 'group_counter': 919, 'group_order': 480, 'label': '30C11', 'order': 30, 'powers': [134, 61, 44], 'representative': 357, 'size': 1}
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id: 105439469
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 254, 'group_counter': 919, 'group_order': 480, 'label': '30C-11', 'order': 30, 'powers': [133, 62, 43], 'representative': 133, 'size': 1}
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id: 105439470
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 255, 'group_counter': 919, 'group_order': 480, 'label': '30C13', 'order': 30, 'powers': [132, 63, 43], 'representative': 421, 'size': 1}
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id: 105439471
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 256, 'group_counter': 919, 'group_order': 480, 'label': '30C-13', 'order': 30, 'powers': [131, 64, 44], 'representative': 69, 'size': 1}
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id: 105439472
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 257, 'group_counter': 919, 'group_order': 480, 'label': '30D1', 'order': 30, 'powers': [136, 65, 45], 'representative': 21, 'size': 1}
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id: 105439473
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 258, 'group_counter': 919, 'group_order': 480, 'label': '30D-1', 'order': 30, 'powers': [135, 66, 46], 'representative': 469, 'size': 1}
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id: 105439474
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 259, 'group_counter': 919, 'group_order': 480, 'label': '30D7', 'order': 30, 'powers': [134, 68, 45], 'representative': 117, 'size': 1}
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id: 105439476
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 260, 'group_counter': 919, 'group_order': 480, 'label': '30D-7', 'order': 30, 'powers': [133, 67, 46], 'representative': 373, 'size': 1}
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id: 105439477
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 261, 'group_counter': 919, 'group_order': 480, 'label': '30D11', 'order': 30, 'powers': [132, 65, 46], 'representative': 181, 'size': 1}
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id: 105439478
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 262, 'group_counter': 919, 'group_order': 480, 'label': '30D-11', 'order': 30, 'powers': [131, 66, 45], 'representative': 309, 'size': 1}
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id: 105439479
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 263, 'group_counter': 919, 'group_order': 480, 'label': '30D13', 'order': 30, 'powers': [130, 67, 45], 'representative': 213, 'size': 1}
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id: 105439480
{'aut_label': '30A1', 'centralizer': '1.a1', 'counter': 264, 'group_counter': 919, 'group_order': 480, 'label': '30D-13', 'order': 30, 'powers': [129, 68, 46], 'representative': 277, 'size': 1}
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id: 105439481
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 265, 'group_counter': 919, 'group_order': 480, 'label': '30E1', 'order': 30, 'powers': [136, 69, 47], 'representative': 16, 'size': 1}
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id: 105439482
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 266, 'group_counter': 919, 'group_order': 480, 'label': '30E-1', 'order': 30, 'powers': [135, 70, 48], 'representative': 464, 'size': 1}
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id: 105439483
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 267, 'group_counter': 919, 'group_order': 480, 'label': '30E7', 'order': 30, 'powers': [134, 72, 47], 'representative': 112, 'size': 1}
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id: 105439484
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 268, 'group_counter': 919, 'group_order': 480, 'label': '30E-7', 'order': 30, 'powers': [133, 71, 48], 'representative': 368, 'size': 1}
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id: 105439485
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 269, 'group_counter': 919, 'group_order': 480, 'label': '30E11', 'order': 30, 'powers': [132, 69, 48], 'representative': 176, 'size': 1}
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id: 105439487
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 270, 'group_counter': 919, 'group_order': 480, 'label': '30E-11', 'order': 30, 'powers': [131, 70, 47], 'representative': 304, 'size': 1}
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id: 105439488
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 271, 'group_counter': 919, 'group_order': 480, 'label': '30E13', 'order': 30, 'powers': [130, 71, 47], 'representative': 208, 'size': 1}
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id: 105439489
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 272, 'group_counter': 919, 'group_order': 480, 'label': '30E-13', 'order': 30, 'powers': [129, 72, 48], 'representative': 272, 'size': 1}
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id: 105439490
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 273, 'group_counter': 919, 'group_order': 480, 'label': '30F1', 'order': 30, 'powers': [131, 73, 49], 'representative': 68, 'size': 1}
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id: 105439491
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 274, 'group_counter': 919, 'group_order': 480, 'label': '30F-1', 'order': 30, 'powers': [132, 74, 50], 'representative': 420, 'size': 1}
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id: 105439492
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 275, 'group_counter': 919, 'group_order': 480, 'label': '30F7', 'order': 30, 'powers': [130, 76, 49], 'representative': 452, 'size': 1}
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id: 105439493
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 276, 'group_counter': 919, 'group_order': 480, 'label': '30F-7', 'order': 30, 'powers': [129, 75, 50], 'representative': 36, 'size': 1}
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id: 105439494
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 277, 'group_counter': 919, 'group_order': 480, 'label': '30F11', 'order': 30, 'powers': [135, 73, 50], 'representative': 228, 'size': 1}
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id: 105439495
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 278, 'group_counter': 919, 'group_order': 480, 'label': '30F-11', 'order': 30, 'powers': [136, 74, 49], 'representative': 260, 'size': 1}
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id: 105439496
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 279, 'group_counter': 919, 'group_order': 480, 'label': '30F13', 'order': 30, 'powers': [134, 75, 49], 'representative': 356, 'size': 1}
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id: 105439498
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 280, 'group_counter': 919, 'group_order': 480, 'label': '30F-13', 'order': 30, 'powers': [133, 76, 50], 'representative': 132, 'size': 1}
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id: 105439499
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 281, 'group_counter': 919, 'group_order': 480, 'label': '30G1', 'order': 30, 'powers': [136, 77, 51], 'representative': 20, 'size': 1}
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id: 105439500
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 282, 'group_counter': 919, 'group_order': 480, 'label': '30G-1', 'order': 30, 'powers': [135, 78, 52], 'representative': 468, 'size': 1}
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id: 105439501
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 283, 'group_counter': 919, 'group_order': 480, 'label': '30G7', 'order': 30, 'powers': [134, 80, 51], 'representative': 116, 'size': 1}
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id: 105439502
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 284, 'group_counter': 919, 'group_order': 480, 'label': '30G-7', 'order': 30, 'powers': [133, 79, 52], 'representative': 372, 'size': 1}
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id: 105439503
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 285, 'group_counter': 919, 'group_order': 480, 'label': '30G11', 'order': 30, 'powers': [132, 77, 52], 'representative': 180, 'size': 1}
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id: 105439504
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 286, 'group_counter': 919, 'group_order': 480, 'label': '30G-11', 'order': 30, 'powers': [131, 78, 51], 'representative': 308, 'size': 1}
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id: 105439505
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 287, 'group_counter': 919, 'group_order': 480, 'label': '30G13', 'order': 30, 'powers': [130, 79, 51], 'representative': 212, 'size': 1}
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id: 105439506
{'aut_label': '30E1', 'centralizer': '1.a1', 'counter': 288, 'group_counter': 919, 'group_order': 480, 'label': '30G-13', 'order': 30, 'powers': [129, 80, 52], 'representative': 276, 'size': 1}
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id: 105439507
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 289, 'group_counter': 919, 'group_order': 480, 'label': '60A1', 'order': 60, 'powers': [265, 137, 81], 'representative': 8, 'size': 1}
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id: 105439509
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 290, 'group_counter': 919, 'group_order': 480, 'label': '60A-1', 'order': 60, 'powers': [266, 138, 82], 'representative': 472, 'size': 1}
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id: 105439510
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 291, 'group_counter': 919, 'group_order': 480, 'label': '60A7', 'order': 60, 'powers': [267, 141, 84], 'representative': 56, 'size': 1}
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id: 105439511
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 292, 'group_counter': 919, 'group_order': 480, 'label': '60A-7', 'order': 60, 'powers': [268, 142, 83], 'representative': 424, 'size': 1}
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id: 105439512
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 293, 'group_counter': 919, 'group_order': 480, 'label': '60A11', 'order': 60, 'powers': [269, 144, 82], 'representative': 88, 'size': 1}
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id: 105439513
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 294, 'group_counter': 919, 'group_order': 480, 'label': '60A-11', 'order': 60, 'powers': [270, 143, 81], 'representative': 392, 'size': 1}
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id: 105439514
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 295, 'group_counter': 919, 'group_order': 480, 'label': '60A13', 'order': 60, 'powers': [271, 142, 81], 'representative': 104, 'size': 1}
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id: 105439515
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 296, 'group_counter': 919, 'group_order': 480, 'label': '60A-13', 'order': 60, 'powers': [272, 141, 82], 'representative': 376, 'size': 1}
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id: 105439516
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 297, 'group_counter': 919, 'group_order': 480, 'label': '60A17', 'order': 60, 'powers': [272, 140, 83], 'representative': 136, 'size': 1}
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id: 105439517
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 298, 'group_counter': 919, 'group_order': 480, 'label': '60A-17', 'order': 60, 'powers': [271, 139, 84], 'representative': 344, 'size': 1}
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id: 105439518
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 299, 'group_counter': 919, 'group_order': 480, 'label': '60A19', 'order': 60, 'powers': [270, 138, 84], 'representative': 152, 'size': 1}
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id: 105439521
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 300, 'group_counter': 919, 'group_order': 480, 'label': '60A-19', 'order': 60, 'powers': [269, 137, 83], 'representative': 328, 'size': 1}
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id: 105439522
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 301, 'group_counter': 919, 'group_order': 480, 'label': '60A23', 'order': 60, 'powers': [268, 139, 82], 'representative': 184, 'size': 1}
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id: 105439523
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 302, 'group_counter': 919, 'group_order': 480, 'label': '60A-23', 'order': 60, 'powers': [267, 140, 81], 'representative': 296, 'size': 1}
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id: 105439524
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 303, 'group_counter': 919, 'group_order': 480, 'label': '60A29', 'order': 60, 'powers': [266, 143, 83], 'representative': 232, 'size': 1}
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id: 105439525
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 304, 'group_counter': 919, 'group_order': 480, 'label': '60A-29', 'order': 60, 'powers': [265, 144, 84], 'representative': 248, 'size': 1}
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id: 105439526
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 305, 'group_counter': 919, 'group_order': 480, 'label': '60B1', 'order': 60, 'powers': [265, 145, 85], 'representative': 12, 'size': 1}
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id: 105439527
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 306, 'group_counter': 919, 'group_order': 480, 'label': '60B-1', 'order': 60, 'powers': [266, 146, 86], 'representative': 476, 'size': 1}
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id: 105439528
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 307, 'group_counter': 919, 'group_order': 480, 'label': '60B7', 'order': 60, 'powers': [267, 149, 88], 'representative': 60, 'size': 1}
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id: 105439529
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 308, 'group_counter': 919, 'group_order': 480, 'label': '60B-7', 'order': 60, 'powers': [268, 150, 87], 'representative': 428, 'size': 1}
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id: 105439530
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 309, 'group_counter': 919, 'group_order': 480, 'label': '60B11', 'order': 60, 'powers': [269, 152, 86], 'representative': 92, 'size': 1}
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id: 105439532
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 310, 'group_counter': 919, 'group_order': 480, 'label': '60B-11', 'order': 60, 'powers': [270, 151, 85], 'representative': 396, 'size': 1}
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id: 105439533
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 311, 'group_counter': 919, 'group_order': 480, 'label': '60B13', 'order': 60, 'powers': [271, 150, 85], 'representative': 108, 'size': 1}
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id: 105439534
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 312, 'group_counter': 919, 'group_order': 480, 'label': '60B-13', 'order': 60, 'powers': [272, 149, 86], 'representative': 380, 'size': 1}
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id: 105439535
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 313, 'group_counter': 919, 'group_order': 480, 'label': '60B17', 'order': 60, 'powers': [272, 148, 87], 'representative': 140, 'size': 1}
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id: 105439536
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 314, 'group_counter': 919, 'group_order': 480, 'label': '60B-17', 'order': 60, 'powers': [271, 147, 88], 'representative': 348, 'size': 1}
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id: 105439537
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 315, 'group_counter': 919, 'group_order': 480, 'label': '60B19', 'order': 60, 'powers': [270, 146, 88], 'representative': 156, 'size': 1}
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id: 105439538
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 316, 'group_counter': 919, 'group_order': 480, 'label': '60B-19', 'order': 60, 'powers': [269, 145, 87], 'representative': 332, 'size': 1}
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id: 105439539
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 317, 'group_counter': 919, 'group_order': 480, 'label': '60B23', 'order': 60, 'powers': [268, 147, 86], 'representative': 188, 'size': 1}
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id: 105439540
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 318, 'group_counter': 919, 'group_order': 480, 'label': '60B-23', 'order': 60, 'powers': [267, 148, 85], 'representative': 300, 'size': 1}
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id: 105439541
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 319, 'group_counter': 919, 'group_order': 480, 'label': '60B29', 'order': 60, 'powers': [266, 151, 87], 'representative': 236, 'size': 1}
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id: 105439543
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 320, 'group_counter': 919, 'group_order': 480, 'label': '60B-29', 'order': 60, 'powers': [265, 152, 88], 'representative': 252, 'size': 1}
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id: 105439544
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 321, 'group_counter': 919, 'group_order': 480, 'label': '60C1', 'order': 60, 'powers': [273, 153, 89], 'representative': 34, 'size': 1}
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id: 105439545
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 322, 'group_counter': 919, 'group_order': 480, 'label': '60C-1', 'order': 60, 'powers': [274, 154, 90], 'representative': 454, 'size': 1}
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id: 105439546
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 323, 'group_counter': 919, 'group_order': 480, 'label': '60C7', 'order': 60, 'powers': [275, 157, 92], 'representative': 230, 'size': 1}
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id: 105439547
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 324, 'group_counter': 919, 'group_order': 480, 'label': '60C-7', 'order': 60, 'powers': [276, 158, 91], 'representative': 258, 'size': 1}
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id: 105439548
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 325, 'group_counter': 919, 'group_order': 480, 'label': '60C11', 'order': 60, 'powers': [277, 160, 90], 'representative': 358, 'size': 1}
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id: 105439549
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 326, 'group_counter': 919, 'group_order': 480, 'label': '60C-11', 'order': 60, 'powers': [278, 159, 89], 'representative': 130, 'size': 1}
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id: 105439550
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 327, 'group_counter': 919, 'group_order': 480, 'label': '60C13', 'order': 60, 'powers': [279, 158, 89], 'representative': 418, 'size': 1}
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id: 105439551
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 328, 'group_counter': 919, 'group_order': 480, 'label': '60C-13', 'order': 60, 'powers': [280, 157, 90], 'representative': 70, 'size': 1}
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id: 105439552
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 329, 'group_counter': 919, 'group_order': 480, 'label': '60C17', 'order': 60, 'powers': [280, 156, 91], 'representative': 66, 'size': 1}
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id: 105439554
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 330, 'group_counter': 919, 'group_order': 480, 'label': '60C-17', 'order': 60, 'powers': [279, 155, 92], 'representative': 422, 'size': 1}
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id: 105439555
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 331, 'group_counter': 919, 'group_order': 480, 'label': '60C19', 'order': 60, 'powers': [278, 154, 92], 'representative': 134, 'size': 1}
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id: 105439556
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 332, 'group_counter': 919, 'group_order': 480, 'label': '60C-19', 'order': 60, 'powers': [277, 153, 91], 'representative': 354, 'size': 1}
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id: 105439557
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 333, 'group_counter': 919, 'group_order': 480, 'label': '60C23', 'order': 60, 'powers': [276, 155, 90], 'representative': 262, 'size': 1}
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id: 105439558
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 334, 'group_counter': 919, 'group_order': 480, 'label': '60C-23', 'order': 60, 'powers': [275, 156, 89], 'representative': 226, 'size': 1}
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id: 105439559
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 335, 'group_counter': 919, 'group_order': 480, 'label': '60C29', 'order': 60, 'powers': [274, 159, 91], 'representative': 450, 'size': 1}
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id: 105439560
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 336, 'group_counter': 919, 'group_order': 480, 'label': '60C-29', 'order': 60, 'powers': [273, 160, 92], 'representative': 38, 'size': 1}
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id: 105439561
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 337, 'group_counter': 919, 'group_order': 480, 'label': '60D1', 'order': 60, 'powers': [276, 161, 93], 'representative': 18, 'size': 1}
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id: 105439562
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 338, 'group_counter': 919, 'group_order': 480, 'label': '60D-1', 'order': 60, 'powers': [275, 162, 94], 'representative': 470, 'size': 1}
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id: 105439563
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 339, 'group_counter': 919, 'group_order': 480, 'label': '60D7', 'order': 60, 'powers': [277, 165, 96], 'representative': 118, 'size': 1}
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id: 105439565
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 340, 'group_counter': 919, 'group_order': 480, 'label': '60D-7', 'order': 60, 'powers': [278, 166, 95], 'representative': 370, 'size': 1}
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id: 105439566
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 341, 'group_counter': 919, 'group_order': 480, 'label': '60D11', 'order': 60, 'powers': [279, 168, 94], 'representative': 182, 'size': 1}
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id: 105439567
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 342, 'group_counter': 919, 'group_order': 480, 'label': '60D-11', 'order': 60, 'powers': [280, 167, 93], 'representative': 306, 'size': 1}
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id: 105439568
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 343, 'group_counter': 919, 'group_order': 480, 'label': '60D13', 'order': 60, 'powers': [274, 166, 93], 'representative': 210, 'size': 1}
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id: 105439569
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 344, 'group_counter': 919, 'group_order': 480, 'label': '60D-13', 'order': 60, 'powers': [273, 165, 94], 'representative': 278, 'size': 1}
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id: 105439570
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id: 105439572
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id: 105439573
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id: 105439574
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id: 105439576
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id: 105439577
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id: 105439578
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id: 105439579
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id: 105439580
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id: 105439581
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id: 105439582
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id: 105439583
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id: 105439584
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id: 105439585
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id: 105439587
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id: 105439588
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id: 105439589
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id: 105439590
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id: 105439591
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id: 105439592
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 365, 'group_counter': 919, 'group_order': 480, 'label': '60E23', 'order': 60, 'powers': [284, 171, 98], 'representative': 190, 'size': 1}
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id: 105439593
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id: 105439594
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id: 105439595
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id: 105439596
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id: 105439598
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 370, 'group_counter': 919, 'group_order': 480, 'label': '60F-1', 'order': 60, 'powers': [266, 178, 102], 'representative': 473, 'size': 1}
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id: 105439599
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id: 105439600
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id: 105439601
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id: 105439602
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id: 105439603
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id: 105439604
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id: 105439605
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id: 105439606
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id: 105439607
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id: 105439609
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id: 105439610
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id: 105439611
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id: 105439612
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id: 105439613
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id: 105439614
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 385, 'group_counter': 919, 'group_order': 480, 'label': '60G1', 'order': 60, 'powers': [281, 185, 105], 'representative': 14, 'size': 1}
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id: 105439615
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id: 105439616
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 387, 'group_counter': 919, 'group_order': 480, 'label': '60G7', 'order': 60, 'powers': [283, 189, 108], 'representative': 58, 'size': 1}
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id: 105439617
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 388, 'group_counter': 919, 'group_order': 480, 'label': '60G-7', 'order': 60, 'powers': [284, 190, 107], 'representative': 430, 'size': 1}
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id: 105439618
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 389, 'group_counter': 919, 'group_order': 480, 'label': '60G11', 'order': 60, 'powers': [285, 192, 106], 'representative': 90, 'size': 1}
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id: 105439620
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 390, 'group_counter': 919, 'group_order': 480, 'label': '60G-11', 'order': 60, 'powers': [286, 191, 105], 'representative': 398, 'size': 1}
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id: 105439621
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 391, 'group_counter': 919, 'group_order': 480, 'label': '60G13', 'order': 60, 'powers': [287, 190, 105], 'representative': 110, 'size': 1}
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id: 105439622
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id: 105439623
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 393, 'group_counter': 919, 'group_order': 480, 'label': '60G17', 'order': 60, 'powers': [288, 188, 107], 'representative': 142, 'size': 1}
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id: 105439624
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 394, 'group_counter': 919, 'group_order': 480, 'label': '60G-17', 'order': 60, 'powers': [287, 187, 108], 'representative': 346, 'size': 1}
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id: 105439625
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 395, 'group_counter': 919, 'group_order': 480, 'label': '60G19', 'order': 60, 'powers': [286, 186, 108], 'representative': 154, 'size': 1}
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id: 105439626
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 396, 'group_counter': 919, 'group_order': 480, 'label': '60G-19', 'order': 60, 'powers': [285, 185, 107], 'representative': 334, 'size': 1}
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id: 105439627
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 397, 'group_counter': 919, 'group_order': 480, 'label': '60G23', 'order': 60, 'powers': [284, 187, 106], 'representative': 186, 'size': 1}
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id: 105439628
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 398, 'group_counter': 919, 'group_order': 480, 'label': '60G-23', 'order': 60, 'powers': [283, 188, 105], 'representative': 302, 'size': 1}
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id: 105439629
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 399, 'group_counter': 919, 'group_order': 480, 'label': '60G29', 'order': 60, 'powers': [282, 191, 107], 'representative': 238, 'size': 1}
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id: 105439632
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 400, 'group_counter': 919, 'group_order': 480, 'label': '60G-29', 'order': 60, 'powers': [281, 192, 108], 'representative': 250, 'size': 1}
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id: 105439633
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 401, 'group_counter': 919, 'group_order': 480, 'label': '60H1', 'order': 60, 'powers': [265, 193, 109], 'representative': 13, 'size': 1}
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id: 105439634
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 402, 'group_counter': 919, 'group_order': 480, 'label': '60H-1', 'order': 60, 'powers': [266, 194, 110], 'representative': 477, 'size': 1}
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id: 105439635
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 403, 'group_counter': 919, 'group_order': 480, 'label': '60H7', 'order': 60, 'powers': [267, 197, 112], 'representative': 61, 'size': 1}
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id: 105439636
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 404, 'group_counter': 919, 'group_order': 480, 'label': '60H-7', 'order': 60, 'powers': [268, 198, 111], 'representative': 429, 'size': 1}
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id: 105439637
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 405, 'group_counter': 919, 'group_order': 480, 'label': '60H11', 'order': 60, 'powers': [269, 200, 110], 'representative': 93, 'size': 1}
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id: 105439638
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 406, 'group_counter': 919, 'group_order': 480, 'label': '60H-11', 'order': 60, 'powers': [270, 199, 109], 'representative': 397, 'size': 1}
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id: 105439639
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 407, 'group_counter': 919, 'group_order': 480, 'label': '60H13', 'order': 60, 'powers': [271, 198, 109], 'representative': 109, 'size': 1}
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id: 105439640
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 408, 'group_counter': 919, 'group_order': 480, 'label': '60H-13', 'order': 60, 'powers': [272, 197, 110], 'representative': 381, 'size': 1}
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id: 105439641
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 409, 'group_counter': 919, 'group_order': 480, 'label': '60H17', 'order': 60, 'powers': [272, 196, 111], 'representative': 141, 'size': 1}
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id: 105439643
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id: 105439644
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 411, 'group_counter': 919, 'group_order': 480, 'label': '60H19', 'order': 60, 'powers': [270, 194, 112], 'representative': 157, 'size': 1}
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id: 105439645
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id: 105439646
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 413, 'group_counter': 919, 'group_order': 480, 'label': '60H23', 'order': 60, 'powers': [268, 195, 110], 'representative': 189, 'size': 1}
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id: 105439647
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id: 105439648
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 415, 'group_counter': 919, 'group_order': 480, 'label': '60H29', 'order': 60, 'powers': [266, 199, 111], 'representative': 237, 'size': 1}
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id: 105439649
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 416, 'group_counter': 919, 'group_order': 480, 'label': '60H-29', 'order': 60, 'powers': [265, 200, 112], 'representative': 253, 'size': 1}
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id: 105439650
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 417, 'group_counter': 919, 'group_order': 480, 'label': '60I1', 'order': 60, 'powers': [273, 201, 113], 'representative': 35, 'size': 1}
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id: 105439651
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 418, 'group_counter': 919, 'group_order': 480, 'label': '60I-1', 'order': 60, 'powers': [274, 202, 114], 'representative': 455, 'size': 1}
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id: 105439652
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 419, 'group_counter': 919, 'group_order': 480, 'label': '60I7', 'order': 60, 'powers': [275, 205, 116], 'representative': 231, 'size': 1}
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id: 105439654
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 420, 'group_counter': 919, 'group_order': 480, 'label': '60I-7', 'order': 60, 'powers': [276, 206, 115], 'representative': 259, 'size': 1}
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id: 105439655
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 421, 'group_counter': 919, 'group_order': 480, 'label': '60I11', 'order': 60, 'powers': [277, 208, 114], 'representative': 359, 'size': 1}
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id: 105439656
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 422, 'group_counter': 919, 'group_order': 480, 'label': '60I-11', 'order': 60, 'powers': [278, 207, 113], 'representative': 131, 'size': 1}
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id: 105439657
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 423, 'group_counter': 919, 'group_order': 480, 'label': '60I13', 'order': 60, 'powers': [279, 206, 113], 'representative': 419, 'size': 1}
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id: 105439658
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 424, 'group_counter': 919, 'group_order': 480, 'label': '60I-13', 'order': 60, 'powers': [280, 205, 114], 'representative': 71, 'size': 1}
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id: 105439659
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 425, 'group_counter': 919, 'group_order': 480, 'label': '60I17', 'order': 60, 'powers': [280, 204, 115], 'representative': 67, 'size': 1}
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id: 105439660
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 426, 'group_counter': 919, 'group_order': 480, 'label': '60I-17', 'order': 60, 'powers': [279, 203, 116], 'representative': 423, 'size': 1}
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id: 105439661
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 427, 'group_counter': 919, 'group_order': 480, 'label': '60I19', 'order': 60, 'powers': [278, 202, 116], 'representative': 135, 'size': 1}
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id: 105439662
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 428, 'group_counter': 919, 'group_order': 480, 'label': '60I-19', 'order': 60, 'powers': [277, 201, 115], 'representative': 355, 'size': 1}
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id: 105439663
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 429, 'group_counter': 919, 'group_order': 480, 'label': '60I23', 'order': 60, 'powers': [276, 203, 114], 'representative': 263, 'size': 1}
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id: 105439665
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 430, 'group_counter': 919, 'group_order': 480, 'label': '60I-23', 'order': 60, 'powers': [275, 204, 113], 'representative': 227, 'size': 1}
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id: 105439666
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 431, 'group_counter': 919, 'group_order': 480, 'label': '60I29', 'order': 60, 'powers': [274, 207, 115], 'representative': 451, 'size': 1}
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id: 105439667
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 432, 'group_counter': 919, 'group_order': 480, 'label': '60I-29', 'order': 60, 'powers': [273, 208, 116], 'representative': 39, 'size': 1}
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id: 105439668
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 433, 'group_counter': 919, 'group_order': 480, 'label': '60J1', 'order': 60, 'powers': [276, 209, 117], 'representative': 19, 'size': 1}
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id: 105439669
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 434, 'group_counter': 919, 'group_order': 480, 'label': '60J-1', 'order': 60, 'powers': [275, 210, 118], 'representative': 471, 'size': 1}
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id: 105439670
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 435, 'group_counter': 919, 'group_order': 480, 'label': '60J7', 'order': 60, 'powers': [277, 213, 120], 'representative': 119, 'size': 1}
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id: 105439671
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 436, 'group_counter': 919, 'group_order': 480, 'label': '60J-7', 'order': 60, 'powers': [278, 214, 119], 'representative': 371, 'size': 1}
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id: 105439672
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 437, 'group_counter': 919, 'group_order': 480, 'label': '60J11', 'order': 60, 'powers': [279, 216, 118], 'representative': 183, 'size': 1}
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id: 105439673
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 438, 'group_counter': 919, 'group_order': 480, 'label': '60J-11', 'order': 60, 'powers': [280, 215, 117], 'representative': 307, 'size': 1}
-
id: 105439674
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 439, 'group_counter': 919, 'group_order': 480, 'label': '60J13', 'order': 60, 'powers': [274, 214, 117], 'representative': 211, 'size': 1}
-
id: 105439676
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 440, 'group_counter': 919, 'group_order': 480, 'label': '60J-13', 'order': 60, 'powers': [273, 213, 118], 'representative': 279, 'size': 1}
-
id: 105439677
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 441, 'group_counter': 919, 'group_order': 480, 'label': '60J17', 'order': 60, 'powers': [273, 212, 119], 'representative': 275, 'size': 1}
-
id: 105439678
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 442, 'group_counter': 919, 'group_order': 480, 'label': '60J-17', 'order': 60, 'powers': [274, 211, 120], 'representative': 215, 'size': 1}
-
id: 105439679
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 443, 'group_counter': 919, 'group_order': 480, 'label': '60J19', 'order': 60, 'powers': [280, 210, 120], 'representative': 311, 'size': 1}
-
id: 105439680
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 444, 'group_counter': 919, 'group_order': 480, 'label': '60J-19', 'order': 60, 'powers': [279, 209, 119], 'representative': 179, 'size': 1}
-
id: 105439681
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 445, 'group_counter': 919, 'group_order': 480, 'label': '60J23', 'order': 60, 'powers': [278, 211, 118], 'representative': 375, 'size': 1}
-
id: 105439682
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 446, 'group_counter': 919, 'group_order': 480, 'label': '60J-23', 'order': 60, 'powers': [277, 212, 117], 'representative': 115, 'size': 1}
-
id: 105439683
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 447, 'group_counter': 919, 'group_order': 480, 'label': '60J29', 'order': 60, 'powers': [275, 215, 119], 'representative': 467, 'size': 1}
-
id: 105439684
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 448, 'group_counter': 919, 'group_order': 480, 'label': '60J-29', 'order': 60, 'powers': [276, 216, 120], 'representative': 23, 'size': 1}
-
id: 105439685
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 449, 'group_counter': 919, 'group_order': 480, 'label': '60K1', 'order': 60, 'powers': [281, 217, 121], 'representative': 11, 'size': 1}
-
id: 105439687
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 450, 'group_counter': 919, 'group_order': 480, 'label': '60K-1', 'order': 60, 'powers': [282, 218, 122], 'representative': 479, 'size': 1}
-
id: 105439688
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 451, 'group_counter': 919, 'group_order': 480, 'label': '60K7', 'order': 60, 'powers': [283, 221, 124], 'representative': 63, 'size': 1}
-
id: 105439689
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 452, 'group_counter': 919, 'group_order': 480, 'label': '60K-7', 'order': 60, 'powers': [284, 222, 123], 'representative': 427, 'size': 1}
-
id: 105439690
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 453, 'group_counter': 919, 'group_order': 480, 'label': '60K11', 'order': 60, 'powers': [285, 224, 122], 'representative': 95, 'size': 1}
-
id: 105439691
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 454, 'group_counter': 919, 'group_order': 480, 'label': '60K-11', 'order': 60, 'powers': [286, 223, 121], 'representative': 395, 'size': 1}
-
id: 105439692
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 455, 'group_counter': 919, 'group_order': 480, 'label': '60K13', 'order': 60, 'powers': [287, 222, 121], 'representative': 107, 'size': 1}
-
id: 105439693
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 456, 'group_counter': 919, 'group_order': 480, 'label': '60K-13', 'order': 60, 'powers': [288, 221, 122], 'representative': 383, 'size': 1}
-
id: 105439694
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 457, 'group_counter': 919, 'group_order': 480, 'label': '60K17', 'order': 60, 'powers': [288, 220, 123], 'representative': 139, 'size': 1}
-
id: 105439695
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 458, 'group_counter': 919, 'group_order': 480, 'label': '60K-17', 'order': 60, 'powers': [287, 219, 124], 'representative': 351, 'size': 1}
-
id: 105439696
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 459, 'group_counter': 919, 'group_order': 480, 'label': '60K19', 'order': 60, 'powers': [286, 218, 124], 'representative': 159, 'size': 1}
-
id: 105439698
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 460, 'group_counter': 919, 'group_order': 480, 'label': '60K-19', 'order': 60, 'powers': [285, 217, 123], 'representative': 331, 'size': 1}
-
id: 105439699
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 461, 'group_counter': 919, 'group_order': 480, 'label': '60K23', 'order': 60, 'powers': [284, 219, 122], 'representative': 191, 'size': 1}
-
id: 105439700
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 462, 'group_counter': 919, 'group_order': 480, 'label': '60K-23', 'order': 60, 'powers': [283, 220, 121], 'representative': 299, 'size': 1}
-
id: 105439701
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 463, 'group_counter': 919, 'group_order': 480, 'label': '60K29', 'order': 60, 'powers': [282, 223, 123], 'representative': 235, 'size': 1}
-
id: 105439702
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 464, 'group_counter': 919, 'group_order': 480, 'label': '60K-29', 'order': 60, 'powers': [281, 224, 124], 'representative': 255, 'size': 1}
-
id: 105439703
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 465, 'group_counter': 919, 'group_order': 480, 'label': '60L1', 'order': 60, 'powers': [281, 225, 125], 'representative': 15, 'size': 1}
-
id: 105439704
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 466, 'group_counter': 919, 'group_order': 480, 'label': '60L-1', 'order': 60, 'powers': [282, 226, 126], 'representative': 475, 'size': 1}
-
id: 105439705
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 467, 'group_counter': 919, 'group_order': 480, 'label': '60L7', 'order': 60, 'powers': [283, 229, 128], 'representative': 59, 'size': 1}
-
id: 105439706
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 468, 'group_counter': 919, 'group_order': 480, 'label': '60L-7', 'order': 60, 'powers': [284, 230, 127], 'representative': 431, 'size': 1}
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id: 105439707
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 469, 'group_counter': 919, 'group_order': 480, 'label': '60L11', 'order': 60, 'powers': [285, 232, 126], 'representative': 91, 'size': 1}
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id: 105439709
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 470, 'group_counter': 919, 'group_order': 480, 'label': '60L-11', 'order': 60, 'powers': [286, 231, 125], 'representative': 399, 'size': 1}
-
id: 105439710
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 471, 'group_counter': 919, 'group_order': 480, 'label': '60L13', 'order': 60, 'powers': [287, 230, 125], 'representative': 111, 'size': 1}
-
id: 105439711
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 472, 'group_counter': 919, 'group_order': 480, 'label': '60L-13', 'order': 60, 'powers': [288, 229, 126], 'representative': 379, 'size': 1}
-
id: 105439712
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 473, 'group_counter': 919, 'group_order': 480, 'label': '60L17', 'order': 60, 'powers': [288, 228, 127], 'representative': 143, 'size': 1}
-
id: 105439713
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 474, 'group_counter': 919, 'group_order': 480, 'label': '60L-17', 'order': 60, 'powers': [287, 227, 128], 'representative': 347, 'size': 1}
-
id: 105439714
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 475, 'group_counter': 919, 'group_order': 480, 'label': '60L19', 'order': 60, 'powers': [286, 226, 128], 'representative': 155, 'size': 1}
-
id: 105439715
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 476, 'group_counter': 919, 'group_order': 480, 'label': '60L-19', 'order': 60, 'powers': [285, 225, 127], 'representative': 335, 'size': 1}
-
id: 105439716
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 477, 'group_counter': 919, 'group_order': 480, 'label': '60L23', 'order': 60, 'powers': [284, 227, 126], 'representative': 187, 'size': 1}
-
id: 105439717
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 478, 'group_counter': 919, 'group_order': 480, 'label': '60L-23', 'order': 60, 'powers': [283, 228, 125], 'representative': 303, 'size': 1}
-
id: 105439718
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 479, 'group_counter': 919, 'group_order': 480, 'label': '60L29', 'order': 60, 'powers': [282, 231, 127], 'representative': 239, 'size': 1}
-
id: 105439720
{'aut_label': '60A1', 'centralizer': '1.a1', 'counter': 480, 'group_counter': 919, 'group_order': 480, 'label': '60L-29', 'order': 60, 'powers': [281, 232, 128], 'representative': 251, 'size': 1}
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gps_qchar • Show schema
Hide schema
-
id: 3438938
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '480.919', 'group_order': 480, 'image': None, 'label': '480.919.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 3438949
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '480.919', 'group_order': 480, 'image': None, 'label': '480.919.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -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: 3438960
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '480.919', 'group_order': 480, 'image': None, 'label': '480.919.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -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: 3438971
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id: 3438940
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id: 3438941
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id: 3438942
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id: 3438943
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id: 3438944
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id: 3438945
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id: 3438946
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id: 3438947
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id: 3438948
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id: 3438950
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id: 3438951
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id: 3438966
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id: 3438967
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id: 3438968
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id: 3438969
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id: 3438970
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id: 3438972
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id: 3438973
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id: 3438974
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id: 3438975
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id: 3438976
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id: 3438977
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id: 3438978
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id: 3438979
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id: 3438980
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id: 3438981
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id: 3438983
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id: 3438984
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id: 3438985
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id: 3438986
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id: 3438987
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id: 3438988
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id: 3438989
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id: 3438990
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id: 3438997
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id: 3438998
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id: 3438999
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id: 3439000
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id: 3439001
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id: 3439002
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id: 3439003
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id: 3439005
{'cdim': 1, 'counter': 70, 'faithful': False, 'group': '480.919', 'group_order': 480, 'image': None, 'label': '480.919.1br', 'multiplicity': 16, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 16, 16, -16, -16, -8, -8, 0, 0, 0, 0, 16, 0, 16, 0, -16, 0, 0, -16, 0, 0, 0, 0, 0, 16, 0, 16, -16, 0, -16, 0, -4, -4, -4, -4, 8, -8, -8, 8, -8, 8, -8, 8, -8, 8, -8, 8, 8, 8, -4, 4, 4, 4, -4, 4, 4, 4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, -4, 4, 4, -4, -4, 4, 4, -4, 4, 4, 8, 0, 0, 0, 0, 8, 0, -8, 8, 0, 0, -8, 8, 0, 0, -8, 0, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, -8, 0, 0, 0, -8, 8, 0, 0, 0, 8, -8, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, -4, -4, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, -4, 0, -4, 4, 4, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, 0, -4, 0, 0, 0, -4, 0, 4, -4, 4, 4, 0, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 0, 0, 2, -2, 0, -2, 0, 2, 0, 0, -2, 2, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, -2, -2, 0, -2, 2, 0, 2, 0, 2, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, -2, 0, -2, 2, -2, -2, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, 2, 2, 0, -2, 0, 0, 2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2], 'schur_index': 1}
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id: 3439006
{'cdim': 1, 'counter': 71, 'faithful': False, 'group': '480.919', 'group_order': 480, 'image': None, 'label': '480.919.1bs', 'multiplicity': 16, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 16, -16, 16, -16, -8, -8, -16, 16, 0, 0, 0, 16, 0, 0, 0, -16, 0, 0, 0, -16, 16, 0, 0, 0, 16, 0, 0, 0, 0, -16, -4, -4, -4, -4, 8, 8, 8, -8, 8, 8, -8, 8, 8, 8, -8, -8, -8, -8, -4, -4, 4, -4, 4, 4, -4, -4, -4, -4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, 4, -4, 4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 8, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, -8, 0, 8, -8, 0, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, 8, -8, 0, 0, -8, 8, 8, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -4, 0, 0, 0, 4, 4, 4, -4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, -4, -4, -4, 0, 0, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 4, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, -2, 2, 0, 0, -2, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, -2, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, -2, -2, -2, -2, 0, 0, 0, 2, 0, -2, -2, 0, -2, 0, 0, 0, 2, 2, 0], 'schur_index': 1}
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id: 3439007
{'cdim': 1, 'counter': 72, 'faithful': False, 'group': '480.919', 'group_order': 480, 'image': None, 'label': '480.919.1bt', 'multiplicity': 16, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 16, -16, 16, -16, -8, -8, 16, -16, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 16, -16, 0, 0, 0, -16, 0, 0, 0, 0, 16, -4, -4, -4, -4, 8, 8, 8, -8, 8, 8, -8, 8, 8, 8, -8, -8, -8, -8, -4, -4, 4, -4, 4, 4, -4, -4, -4, -4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, 4, -4, 4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, -8, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 8, 0, -8, 8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -8, -8, 8, 0, 0, 8, -8, -8, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 0, 0, 0, -4, -4, -4, 4, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 4, 4, 4, 0, 0, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, -4, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 2, -2, 0, 0, 2, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, -2, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, -2, -2, -2, -2, 0, 0, 2, 2, 2, 2, 0, 0, 0, -2, 0, 2, 2, 0, 2, 0, 0, 0, -2, -2, 0], 'schur_index': 1}
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id: 3439008
{'cdim': 1, 'counter': 73, 'faithful': False, 'group': '480.919', 'group_order': 480, 'image': None, 'label': '480.919.1bu', 'multiplicity': 16, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, 16, 16, -16, -16, -16, 16, -8, -8, 0, 0, -16, -16, 0, 0, 0, 16, 0, 0, -16, 0, 16, 0, 0, 16, -16, 0, 0, 0, 0, 16, 0, 0, -4, -4, -4, -4, 8, 8, -8, 8, 8, -8, 8, 8, -8, -8, 8, -8, 8, -8, 4, -4, -4, 4, -4, 4, -4, 4, 4, -4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, -4, 4, 4, 4, 4, 4, -4, -4, 0, 8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, -8, 8, 0, 0, -8, 0, 0, 8, 0, -8, -8, 8, -8, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, -4, 0, 4, 0, 0, 0, 0, -4, 0, -4, -4, 0, 0, 0, 4, 4, 4, 4, -4, -4, 0, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, 0, -2, 0, 2, 2, 2, 0, 2, -2, -2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, -2, 2, 2, -2, 0, 0, 2, 0, -2, 0, 0, -2, -2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 2, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0], 'schur_index': 1}
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id: 3439009
{'cdim': 1, 'counter': 74, 'faithful': False, 'group': '480.919', 'group_order': 480, 'image': None, 'label': '480.919.1bv', 'multiplicity': 16, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, 16, 16, -16, -16, -16, 16, -8, -8, 0, 0, 16, 16, 0, 0, 0, -16, 0, 0, 16, 0, -16, 0, 0, -16, 16, 0, 0, 0, 0, -16, 0, 0, -4, -4, -4, -4, 8, 8, -8, 8, 8, -8, 8, 8, -8, -8, 8, -8, 8, -8, 4, -4, -4, 4, -4, 4, -4, 4, 4, -4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, -4, 4, 4, 4, 4, 4, -4, -4, 0, -8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 8, -8, 0, 0, 8, 0, 0, -8, 0, 8, 8, -8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 4, 0, -4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, -4, -4, -4, -4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, -2, -2, 2, 0, 2, 0, -2, -2, -2, 0, -2, 2, 2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, -2, 0, 2, 0, 0, 2, 2, 0, 0, -2, -2, 0, 0, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, -2, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0], 'schur_index': 1}
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id: 3439010
{'cdim': 1, 'counter': 75, 'faithful': False, 'group': '480.919', 'group_order': 480, 'image': None, 'label': '480.919.1bw', 'multiplicity': 16, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 16, -16, -16, 16, -8, -8, 0, 0, -16, -16, 0, 0, 0, 16, 0, 0, 16, 0, 16, 0, 0, -16, 16, 0, 0, 0, 0, -16, 0, 0, -4, -4, -4, -4, -8, 8, 8, 8, 8, -8, -8, -8, 8, -8, -8, 8, 8, 8, -4, 4, -4, 4, 4, -4, 4, 4, 4, 4, 4, -4, 4, -4, 4, 4, 4, -4, 4, -4, -4, -4, 4, -4, -4, 4, -4, 4, 0, 8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, -8, -8, 0, 0, -8, 0, 0, 8, 0, -8, 8, -8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, -4, 0, 4, 0, 0, 0, 0, -4, 0, -4, -4, 0, 0, 0, -4, -4, 4, -4, 4, 4, 0, 4, 4, -4, 4, 4, 4, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 2, 0, -2, -2, -2, 0, 2, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 2, 0, -2, 0, 0, -2, -2, 0, 0, -2, -2, 0, 0, 2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0], 'schur_index': 1}
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id: 3439011
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id: 3439012
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id: 3439013
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id: 3439014
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id: 3439016
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gps_char • Show schema
Hide schema
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id: 4845395
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id: 4845784
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id: 4845795
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id: 4845806
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id: 4845817
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id: 4845819
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id: 4845821
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id: 4845822
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id: 4845823
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id: 4845824
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id: 4845825
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id: 4845826
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id: 4845827
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id: 4845828
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id: 4845829
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id: 4845830
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id: 4845832
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id: 4845833
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id: 4845834
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id: 4845835
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id: 4845836
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id: 4845837
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id: 4845838
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id: 4845839
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id: 4845840
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id: 4845841
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id: 4845843
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id: 4845844
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id: 4845845
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id: 4845846
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id: 4845847
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id: 4845848
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id: 4845849
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id: 4845850
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id: 4845851
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id: 4845852
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id: 4845854
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id: 4845855
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id: 4845856
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id: 4845857
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id: 4845858
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id: 4845859
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id: 4845860
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id: 4845861
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id: 4845862
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id: 4845863
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id: 4845865
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id: 4845866
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id: 4845867
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id: 4845868
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id: 4845869
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id: 4845870
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id: 4845871
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id: 4845872
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id: 4845873
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id: 4845874
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id: 4845397
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id: 4845398
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id: 4845399
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id: 4845400
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id: 4845401
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id: 4845402
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id: 4845403
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id: 4845404
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id: 4845405
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id: 4845406
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id: 4845408
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id: 4845409
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id: 4845410
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id: 4845411
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id: 4845412
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id: 4845413
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id: 4845414
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id: 4845415
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id: 4845416
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id: 4845417
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id: 4845419
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id: 4845420
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id: 4845421
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id: 4845422
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id: 4845423
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id: 4845424
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id: 4845425
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id: 4845426
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id: 4845427
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id: 4845428
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id: 4845431
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id: 4845432
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id: 4845433
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id: 4845434
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id: 4845435
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id: 4845436
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id: 4845437
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id: 4845438
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id: 4845439
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id: 4845441
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id: 4845442
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id: 4845443
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id: 4845444
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id: 4845445
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id: 4845446
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id: 4845447
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id: 4845448
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id: 4845449
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id: 4845450
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id: 4845452
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id: 4845453
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id: 4845454
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id: 4845455
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id: 4845456
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id: 4845457
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id: 4845458
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id: 4845459
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id: 4845460
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id: 4845461
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id: 4845506
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id: 4845464
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id: 4845465
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id: 4845466
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id: 4845467
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id: 4845468
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id: 4845469
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id: 4845470
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id: 4845471
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id: 4845472
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id: 4845474
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id: 4845475
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id: 4845476
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id: 4845477
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id: 4845478
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id: 4845479
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id: 4845480
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id: 4845481
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id: 4845482
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id: 4845483
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id: 4845485
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id: 4845486
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id: 4845487
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id: 4845488
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id: 4845489
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id: 4845490
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id: 4845491
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id: 4845492
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id: 4845493
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id: 4845494
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id: 4845496
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id: 4845497
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id: 4845498
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id: 4845499
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id: 4845500
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id: 4845501
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id: 4845502
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id: 4845503
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id: 4845504
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id: 4845505
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id: 4845508
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id: 4845509
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id: 4845510
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id: 4845511
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id: 4845512
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id: 4845513
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id: 4845514
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id: 4845515
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id: 4845516
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id: 4845517
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id: 4845519
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id: 4845520
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id: 4845521
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id: 4845522
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id: 4845523
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id: 4845524
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id: 4845525
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id: 4845526
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id: 4845527
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id: 4845528
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id: 4845530
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id: 4845531
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id: 4845532
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id: 4845533
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id: 4845534
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id: 4845535
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id: 4845536
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id: 4845537
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id: 4845538
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id: 4845539
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id: 4845541
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id: 4845542
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id: 4845543
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id: 4845544
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id: 4845545
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id: 4845546
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id: 4845547
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id: 4845548
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id: 4845549
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id: 4845550
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id: 4845552
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id: 4845553
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id: 4845554
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id: 4845555
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id: 4845556
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id: 4845557
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id: 4845558
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id: 4845559
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id: 4845560
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id: 4845561
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id: 4845563
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id: 4845564
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id: 4845565
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id: 4845566
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id: 4845567
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id: 4845568
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id: 4845569
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id: 4845570
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id: 4845571
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id: 4845572
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id: 4845574
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id: 4845575
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id: 4845576
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id: 4845577
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id: 4845578
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id: 4845579
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id: 4845580
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id: 4845581
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id: 4845582
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id: 4845583
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id: 4845585
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id: 4845586
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id: 4845587
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id: 4845588
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id: 4845589
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id: 4845590
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id: 4845592
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id: 4845593
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id: 4845594
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id: 4845596
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id: 4845597
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id: 4845598
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id: 4845599
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id: 4845600
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id: 4845601
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id: 4845602
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id: 4845603
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id: 4845604
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id: 4845605
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id: 4845615
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id: 4845616
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id: 4845619
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id: 4845620
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id: 4845621
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id: 4845622
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id: 4845623
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id: 4845607
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id: 4845608
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id: 4845609
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id: 4845610
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id: 4845611
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id: 4845612
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id: 4845613
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id: 4845614
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id: 4845624
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id: 4845634
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id: 4845635
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id: 4845636
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id: 4845637
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id: 4845638
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id: 4845639
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id: 4845641
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id: 4845625
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id: 4845626
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id: 4845627
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id: 4845628
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id: 4845630
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id: 4845631
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id: 4845632
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id: 4845633
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id: 4845642
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id: 4845652
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id: 4845653
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id: 4845654
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id: 4845656
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id: 4845657
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id: 4845658
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id: 4845643
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id: 4845645
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id: 4845646
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id: 4845647
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id: 4845648
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id: 4845649
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id: 4845650
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id: 4845659
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id: 4845669
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id: 4845670
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id: 4845671
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id: 4845672
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id: 4845674
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id: 4845675
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id: 4845676
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id: 4845660
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id: 4845661
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id: 4845663
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id: 4845664
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id: 4845665
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id: 4845666
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id: 4845667
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id: 4845668
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id: 4845677
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id: 4845687
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id: 4845688
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id: 4845689
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id: 4845690
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id: 4845691
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id: 4845692
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id: 4845693
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id: 4845678
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id: 4845679
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id: 4845680
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id: 4845681
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id: 4845682
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id: 4845683
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id: 4845685
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id: 4845686
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id: 4845694
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id: 4845704
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id: 4845705
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id: 4845707
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id: 4845708
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id: 4845709
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id: 4845710
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id: 4845711
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id: 4845696
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id: 4845697
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id: 4845698
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id: 4845699
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id: 4845700
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id: 4845701
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id: 4845702
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id: 4845703
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id: 4845712
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id: 4845722
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id: 4845723
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id: 4845724
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id: 4845725
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id: 4845726
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id: 4845727
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id: 4845730
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id: 4845713
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id: 4845714
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id: 4845715
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id: 4845716
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id: 4845718
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id: 4845719
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id: 4845720
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id: 4845721
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id: 4845731
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id: 4845741
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id: 4845742
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id: 4845743
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id: 4845744
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id: 4845745
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id: 4845746
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id: 4845747
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id: 4845732
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id: 4845733
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id: 4845734
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id: 4845735
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id: 4845736
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id: 4845737
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id: 4845738
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id: 4845739
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id: 4845748
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id: 4845758
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id: 4845759
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id: 4845760
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id: 4845761
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id: 4845763
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id: 4845764
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id: 4845765
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id: 4845749
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id: 4845750
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id: 4845752
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id: 4845753
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id: 4845754
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id: 4845755
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id: 4845756
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id: 4845757
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id: 4845766
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id: 4845776
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id: 4845777
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id: 4845778
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id: 4845779
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id: 4845780
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id: 4845781
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id: 4845782
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id: 4845767
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id: 4845768
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id: 4845769
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id: 4845770
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id: 4845771
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id: 4845772
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id: 4845774
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id: 4845775
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id: 4845617
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id: 4845783
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id: 4845793
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id: 4845794
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id: 4845796
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id: 4845797
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id: 4845798
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id: 4845799
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id: 4845800
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id: 4845785
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id: 4845786
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id: 4845787
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id: 4845788
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id: 4845789
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id: 4845790
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id: 4845791
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id: 4845792
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id: 4845801
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id: 4845811
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id: 4845812
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id: 4845813
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id: 4845814
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id: 4845815
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id: 4845816
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id: 4845818
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id: 4845802
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id: 4845803
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id: 4845804
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id: 4845805
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id: 4845807
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id: 4845808
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id: 4845809
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id: 4845810
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id: 4845728
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id: 4845820
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id: 4845831
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id: 4845853
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id: 4845864
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id: 4845396
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id: 4845407
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id: 4845418
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id: 4845429
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id: 4845440
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id: 4845451
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id: 4845462
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id: 4845473
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id: 4845484
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id: 4845495
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id: 4845507
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id: 4845518
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id: 4845529
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id: 4845540
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id: 4845551
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id: 4845562
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id: 4845573
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id: 4845584
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id: 4845595
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id: 4845606
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id: 4845618
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id: 4845629
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id: 4845640
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id: 4845651
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id: 4845662
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id: 4845673
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id: 4845684
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id: 4845695
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id: 4845706
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id: 4845717
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id: 4845729
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id: 4845740
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id: 4845751
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id: 4845762
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id: 4845773
{'center': '1.a1', 'center_index': 1, 'center_order': 480, 'counter': 44, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '480.919', 'group_counter': 919, 'group_order': 480, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 80, 'label': '480.919.1z2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], 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gps_subgroup_search • Show schema
Hide schema
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id: 58652996
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 480, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '480.919.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.919', 'subgroup_hash': 919, 'subgroup_order': 480, 'subgroup_tex': 'C_2\\times C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 58653007
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 240, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.185', 'subgroup_hash': 185, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 58653018
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 240, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '480.919.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 58653029
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 160, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '480.919.3.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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.175', 'subgroup_hash': 175, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\times C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 58653039
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '480.919.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 58653040
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.47', 'subgroup_hash': 47, 'subgroup_order': 120, 'subgroup_tex': 'C_2^2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
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id: 58653041
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 58653042
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 96, 'counter': 8, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '480.919.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.161', 'subgroup_hash': 161, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 58653043
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 80, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.6.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': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 58652997
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 80, 'counter': 10, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '480.919.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 58652998
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
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id: 58652999
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 12, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '480.919.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 58653000
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 60, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
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id: 58653001
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 48, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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}
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id: 58653002
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 48, 'counter': 15, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '480.919.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 58653003
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 16, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '480.919.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 58653004
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.12.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 58653005
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 58653006
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 32, 'counter': 19, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '480.919.15.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '15.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '15.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 15, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 2}
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id: 58653008
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 20, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '480.919.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
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id: 58653009
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 21, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.919.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
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id: 58653010
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 22, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '480.919.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 58653011
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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}
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id: 58653012
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 58653013
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 58653014
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 26, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '480.919.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 58653015
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 20, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.24.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 58653016
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 16, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.30.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}', '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}
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id: 58653017
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 16, 'counter': 29, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '480.919.30.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 58653019
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 15, 'counter': 30, 'cyclic': True, 'direct': True, 'hall': 15, 'label': '480.919.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
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id: 58653020
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 58653021
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 32, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '480.919.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 58653022
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 12, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 58653023
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 34, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '480.919.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 58653024
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 35, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.919.48.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': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 58653025
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 36, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '480.919.60.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 58653026
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.60.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.13', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 58653027
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.60.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.13', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{30}', '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: 58653028
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 39, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '480.919.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 58653030
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 40, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.919.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 58653031
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 5, 'counter': 41, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '480.919.96.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': '96.161', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 161, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4\\times C_{12}', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
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id: 58653032
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.120.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.31', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{60}', '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: 58653033
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 43, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '480.919.120.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.31', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{60}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 58653034
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 4, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.919.120.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.47', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 47, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{30}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], '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: 58653035
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 3, 'counter': 45, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '480.919.160.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.175', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 175, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4\\times C_{20}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 58653036
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 46, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '480.919.240.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '240.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.81', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 81, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{60}', '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: 58653037
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 47, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.919.240.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '240.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.185', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 185, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{60}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 58653038
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.919', 'ambient_counter': 919, 'ambient_order': 480, 'ambient_tex': 'C_2\\times C_4\\times C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 1, 'counter': 48, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '480.919.480.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '480.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '480.919', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 919, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4\\times C_{60}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'PC', 'U1', 'L1', 'D1', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 58652996
{'ambient': '480.919', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['480.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '3.a1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8590, 8590, 6921, 6921], 'generators': [1, 4, 120, 320, 2, 240, 96], 'label': '480.919.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '3.a1', '5.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '1.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 58652997
{'ambient': '480.919', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '384.18060', 'aut_weyl_index': 32, 'centralizer': '1.a1', 'complements': ['80.a1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.c1', '30.b1'], 'core': '6.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [8177, 8177, 7651, 7651], 'generators': [3, 96, 4, 360, 240], 'label': '480.919.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.c1', '30.b1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '6.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58652998
{'ambient': '480.919', 'aut_centralizer_order': 128, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 768, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '4.b1'], 'contains': ['16.a1', '16.b1', '24.a1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2103, 2103, 434, 434], 'generators': [1, 320, 96, 4], 'label': '480.919.8.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1'], 'normal_contains': ['16.a1', '16.b1', '24.a1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58652999
{'ambient': '480.919', 'aut_centralizer_order': 64, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '16.10', 'aut_weyl_index': 768, 'centralizer': '1.a1', 'complements': ['60.a1'], 'conjugacy_class_count': 12, 'contained_in': ['4.a1', '4.c1'], 'contains': ['16.b1', '24.b1', '40.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [4641, 4641, 2163, 2163], 'generators': [120, 96, 240, 320], 'label': '480.919.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.c1'], 'normal_contains': ['16.b1', '24.b1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653000
{'ambient': '480.919', 'aut_centralizer_order': 256, 'aut_label': '8.c1', 'aut_quo_index': 7, 'aut_stab_index': 1, 'aut_weyl_group': '48.35', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.c1'], 'contains': ['16.b1', '24.c1', '40.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3120, 3120, 5000, 5000], 'generators': [4, 320, 96, 240], 'label': '480.919.8.c1', 'mobius_quo': 2, 'mobius_sub': -8, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1', '4.c1'], 'normal_contains': ['16.b1', '24.c1', '40.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '8.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653001
{'ambient': '480.919', 'aut_centralizer_order': 32, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.b1', '20.c1', '30.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8018, 8018, 6610, 6610], 'generators': [1, 240, 4, 120, 320], 'label': '480.919.10.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1', '5.a1'], 'normal_contains': ['20.a1', '20.b1', '20.c1', '30.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '10.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653002
{'ambient': '480.919', 'aut_centralizer_order': 16, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '192.1488', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': ['48.a1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.c1', '30.b1'], 'core': '10.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [9229, 9229, 9566, 9566], 'generators': [3, 240, 120, 320, 4], 'label': '480.919.10.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1', 'normal_contained_in': ['2.b1', '5.a1'], 'normal_contains': ['20.c1', '30.b1'], 'normalizer': '1.a1', 'old_label': '10.b1', 'projective_image': '10.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653003
{'ambient': '480.919', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '32.25', 'aut_weyl_index': 384, 'centralizer': '1.a1', 'complements': ['40.b1'], 'conjugacy_class_count': 12, 'contained_in': ['4.a1', '6.a1'], 'contains': ['24.a1', '24.b1', '60.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5435, 5435, 1409, 1409], 'generators': [1, 96, 240, 360], 'label': '480.919.12.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['24.a1', '24.b1', '60.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '12.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653004
{'ambient': '480.919', 'aut_centralizer_order': 128, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.186', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.a1'], 'contains': ['24.a1', '24.c1', '60.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3789, 3789, 3959, 3959], 'generators': [1, 240, 96, 4], 'label': '480.919.12.b1', 'mobius_quo': 8, 'mobius_sub': -2, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.a1', '24.c1', '60.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '12.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653005
{'ambient': '480.919', 'aut_centralizer_order': 64, 'aut_label': '12.c1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 384, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.c1', '6.a1', '6.b1'], 'contains': ['24.b1', '24.c1', '60.c1'], 'core': '12.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [6589, 6589, 6915, 6915], 'generators': [4, 96, 240, 360], 'label': '480.919.12.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.c1', 'normal_contained_in': ['4.c1', '6.a1', '6.b1'], 'normal_contains': ['24.b1', '24.c1', '60.c1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '12.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653006
{'ambient': '480.919', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408569020', 'aut_weyl_index': 8, 'centralizer': '1.a1', 'complements': ['32.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '5.a1'], 'contains': ['30.a1', '30.b1'], 'core': '15.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9800, 9800, 8609, 8609], 'generators': [1, 2, 360], 'label': '480.919.15.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '15.a1', 'normal_contained_in': ['3.a1', '5.a1'], 'normal_contains': ['30.a1', '30.b1'], 'normalizer': '1.a1', 'old_label': '15.a1', 'projective_image': '15.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '15.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653007
{'ambient': '480.919', 'aut_centralizer_order': 8, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '512.6279920', 'aut_weyl_index': 24, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '6.a1', '10.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6458, 6458, 4857, 4857], 'generators': [1, 240, 120, 320, 4, 96], 'label': '480.919.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '6.a1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653008
{'ambient': '480.919', 'aut_centralizer_order': 384, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': ['30.b1'], 'conjugacy_class_count': 4, 'contained_in': ['8.a1'], 'contains': ['32.a1', '48.a1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [669, 669, 356, 356], 'generators': [1, 96, 320], 'label': '480.919.16.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['32.a1', '48.a1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '16.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653009
{'ambient': '480.919', 'aut_centralizer_order': 512, 'aut_label': '16.b1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '8.b1', '8.c1'], 'contains': ['32.a1', '48.b1', '80.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [2074, 2074, 1864, 1864], 'generators': [4, 96, 320], 'label': '480.919.16.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1'], 'normal_contains': ['32.a1', '48.b1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '16.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653010
{'ambient': '480.919', 'aut_centralizer_order': 64, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '1.a1', 'complements': ['24.b1'], 'conjugacy_class_count': 12, 'contained_in': ['4.a1', '10.a1'], 'contains': ['40.a1', '40.b1', '60.a1'], 'core': '20.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6520, 6520, 2917, 2917], 'generators': [1, 120, 320, 240], 'label': '480.919.20.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1'], 'normal_contains': ['40.a1', '40.b1', '60.a1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '20.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653011
{'ambient': '480.919', 'aut_centralizer_order': 256, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '10.a1'], 'contains': ['40.a1', '40.c1', '60.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4297, 4297, 5957, 5957], 'generators': [1, 4, 240, 320], 'label': '480.919.20.b1', 'mobius_quo': 8, 'mobius_sub': -2, 'normal_closure': '20.b1', 'normal_contained_in': ['4.b1', '10.a1'], 'normal_contains': ['40.a1', '40.c1', '60.b1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '20.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653012
{'ambient': '480.919', 'aut_centralizer_order': 128, 'aut_label': '20.c1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.c1', '10.a1', '10.b1'], 'contains': ['40.b1', '40.c1', '60.c1'], 'core': '20.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [7892, 7892, 8830, 8830], 'generators': [4, 120, 320, 240], 'label': '480.919.20.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.c1', 'normal_contained_in': ['4.c1', '10.a1', '10.b1'], 'normal_contains': ['40.b1', '40.c1', '60.c1'], 'normalizer': '1.a1', 'old_label': '20.c1', 'projective_image': '20.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653013
{'ambient': '480.919', 'aut_centralizer_order': 256, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.a1', '12.a1', '12.b1'], 'contains': ['48.a1', '48.b1', '120.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1788, 1788, 1110, 1110], 'generators': [1, 96, 4], 'label': '480.919.24.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1', '12.b1'], 'normal_contains': ['48.a1', '48.b1', '120.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653014
{'ambient': '480.919', 'aut_centralizer_order': 128, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': ['20.a1'], 'conjugacy_class_count': 12, 'contained_in': ['8.b1', '12.a1', '12.c1'], 'contains': ['48.b1', '120.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5149, 5149, 3205, 3205], 'generators': [360, 240, 96], 'label': '480.919.24.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.a1', '12.c1'], 'normal_contains': ['48.b1', '120.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653015
{'ambient': '480.919', 'aut_centralizer_order': 512, 'aut_label': '24.c1', 'aut_quo_index': 7, 'aut_stab_index': 1, 'aut_weyl_group': '24.5', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '12.b1', '12.c1'], 'contains': ['48.b1', '120.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3161, 3161, 5299, 5299], 'generators': [4, 96, 240], 'label': '480.919.24.c1', 'mobius_quo': -2, 'mobius_sub': 8, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.b1', '12.c1'], 'normal_contains': ['48.b1', '120.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '24.15', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.15', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653016
{'ambient': '480.919', 'aut_centralizer_order': 64, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['6.a1', '10.a1', '15.a1'], 'contains': ['60.a1', '60.b1', '60.c1'], 'core': '30.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7657, 7657, 7873, 7873], 'generators': [1, 4, 360], 'label': '480.919.30.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '30.a1', 'normal_contained_in': ['6.a1', '10.a1', '15.a1'], 'normal_contains': ['60.a1', '60.b1', '60.c1'], 'normalizer': '1.a1', 'old_label': '30.a1', 'projective_image': '30.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '30.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653017
{'ambient': '480.919', 'aut_centralizer_order': 32, 'aut_label': '30.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '96.195', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': ['16.a1'], 'conjugacy_class_count': 4, 'contained_in': ['6.b1', '10.b1', '15.a1'], 'contains': ['60.c1'], 'core': '30.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [9258, 9258, 9566, 9566], 'generators': [3, 360], 'label': '480.919.30.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '30.b1', 'normal_contained_in': ['6.b1', '10.b1', '15.a1'], 'normal_contains': ['60.c1'], 'normalizer': '1.a1', 'old_label': '30.b1', 'projective_image': '30.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '30.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653018
{'ambient': '480.919', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '768.1088672', 'aut_weyl_index': 16, 'centralizer': '1.a1', 'complements': ['240.a1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.c1', '6.b1', '10.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [8190, 8190, 7525, 7525], 'generators': [3, 240, 320, 96, 120, 4], 'label': '480.919.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '6.b1', '10.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653019
{'ambient': '480.919', 'aut_centralizer_order': 1536, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': ['15.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1'], 'contains': ['96.a1', '160.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [200, 200, 1637, 1637], 'generators': [320, 96], 'label': '480.919.32.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['96.a1', '160.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '32.21', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.21', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653020
{'ambient': '480.919', 'aut_centralizer_order': 512, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.a1', '20.a1', '20.b1'], 'contains': ['80.a1', '80.b1', '120.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3080, 3080, 2534, 2534], 'generators': [1, 4, 320], 'label': '480.919.40.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1', '20.b1'], 'normal_contains': ['80.a1', '80.b1', '120.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '40.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653021
{'ambient': '480.919', 'aut_centralizer_order': 256, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '1.a1', 'complements': ['12.a1'], 'conjugacy_class_count': 12, 'contained_in': ['8.b1', '20.a1', '20.c1'], 'contains': ['80.b1', '120.b1'], 'core': '40.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5943, 5943, 4545, 4545], 'generators': [120, 320, 240], 'label': '480.919.40.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': ['8.b1', '20.a1', '20.c1'], 'normal_contains': ['80.b1', '120.b1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '40.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653022
{'ambient': '480.919', 'aut_centralizer_order': 1024, 'aut_label': '40.c1', 'aut_quo_index': 7, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '20.b1', '20.c1'], 'contains': ['80.b1', '120.c1'], 'core': '40.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4074, 4074, 6688, 6688], 'generators': [4, 240, 320], 'label': '480.919.40.c1', 'mobius_quo': -2, 'mobius_sub': 8, 'normal_closure': '40.c1', 'normal_contained_in': ['8.c1', '20.b1', '20.c1'], 'normal_contains': ['80.b1', '120.c1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': '40.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.14', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653023
{'ambient': '480.919', 'aut_centralizer_order': 768, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 3072, 'centralizer': '1.a1', 'complements': ['10.b1'], 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '24.a1'], 'contains': ['96.a1', '240.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [703, 703, 1110, 1110], 'generators': [1, 96], 'label': '480.919.48.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1'], 'normal_contains': ['96.a1', '240.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '48.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653024
{'ambient': '480.919', 'aut_centralizer_order': 1024, 'aut_label': '48.b1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '4.1', 'aut_weyl_index': 3072, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.b1', '24.a1', '24.b1', '24.c1'], 'contains': ['96.a1', '240.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1572, 1572, 2594, 2594], 'generators': [4, 96], 'label': '480.919.48.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.b1', '24.c1'], 'normal_contains': ['96.a1', '240.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '48.44', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.44', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653025
{'ambient': '480.919', 'aut_centralizer_order': 128, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': ['8.b1'], 'conjugacy_class_count': 12, 'contained_in': ['12.a1', '20.a1', '30.a1'], 'contains': ['120.a1', '120.b1'], 'core': '60.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6447, 6447, 3875, 3875], 'generators': [1, 360], 'label': '480.919.60.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '60.a1', 'normal_contained_in': ['12.a1', '20.a1', '30.a1'], 'normal_contains': ['120.a1', '120.b1'], 'normalizer': '1.a1', 'old_label': '60.a1', 'projective_image': '60.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.4', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653026
{'ambient': '480.919', 'aut_centralizer_order': 512, 'aut_label': '60.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '20.b1', '30.a1'], 'contains': ['120.a1', '120.c1'], 'core': '60.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4606, 4606, 6035, 6035], 'generators': [1, 4, 240], 'label': '480.919.60.b1', 'mobius_quo': -8, 'mobius_sub': 2, 'normal_closure': '60.b1', 'normal_contained_in': ['12.b1', '20.b1', '30.a1'], 'normal_contains': ['120.a1', '120.c1'], 'normalizer': '1.a1', 'old_label': '60.b1', 'projective_image': '60.13', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.13', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653027
{'ambient': '480.919', 'aut_centralizer_order': 256, 'aut_label': '60.c1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['12.c1', '20.c1', '30.a1', '30.b1'], 'contains': ['120.b1', '120.c1'], 'core': '60.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [7516, 7516, 7687, 7687], 'generators': [4, 360], 'label': '480.919.60.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '60.c1', 'normal_contained_in': ['12.c1', '20.c1', '30.a1', '30.b1'], 'normal_contains': ['120.b1', '120.c1'], 'normalizer': '1.a1', 'old_label': '60.c1', 'projective_image': '60.13', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.13', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653028
{'ambient': '480.919', 'aut_centralizer_order': 1536, 'aut_label': '80.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1', 'complements': ['6.b1'], 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '40.a1'], 'contains': ['160.a1', '240.a1'], 'core': '80.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1400, 1400, 2116, 2116], 'generators': [1, 320], 'label': '480.919.80.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1'], 'normal_contains': ['160.a1', '240.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '80.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.20', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653029
{'ambient': '480.919', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6144.bjm', 'aut_weyl_index': 2, 'centralizer': '1.a1', 'complements': ['160.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '15.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9086, 9086, 6323, 6323], 'generators': [1, 240, 360, 96, 2, 4], 'label': '480.919.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '15.a1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '3.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653030
{'ambient': '480.919', 'aut_centralizer_order': 2048, 'aut_label': '80.b1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.b1', '40.a1', '40.b1', '40.c1'], 'contains': ['160.a1', '240.b1'], 'core': '80.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [3120, 3120, 3564, 3564], 'generators': [4, 320], 'label': '480.919.80.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '80.b1', 'normal_contained_in': ['16.b1', '40.a1', '40.b1', '40.c1'], 'normal_contains': ['160.a1', '240.b1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': '80.45', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.45', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653031
{'ambient': '480.919', 'aut_centralizer_order': 3072, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 3072, 'centralizer': '1.a1', 'complements': ['5.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1'], 'contains': ['480.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [440, 440, 1649, 1649], 'generators': [96], 'label': '480.919.96.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1'], 'normal_contains': ['480.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '96.161', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.161', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653032
{'ambient': '480.919', 'aut_centralizer_order': 1024, 'aut_label': '120.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['24.a1', '40.a1', '60.a1', '60.b1'], 'contains': ['240.a1', '240.b1'], 'core': '120.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2915, 2915, 3103, 3103], 'generators': [1, 4], 'label': '480.919.120.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '120.a1', 'normal_contained_in': ['24.a1', '40.a1', '60.a1', '60.b1'], 'normal_contains': ['240.a1', '240.b1'], 'normalizer': '1.a1', 'old_label': '120.a1', 'projective_image': '120.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.31', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653033
{'ambient': '480.919', 'aut_centralizer_order': 512, 'aut_label': '120.b1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1', 'complements': ['4.a1'], 'conjugacy_class_count': 12, 'contained_in': ['24.b1', '40.b1', '60.a1', '60.c1'], 'contains': ['240.b1'], 'core': '120.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5943, 5943, 3995, 3995], 'generators': [360], 'label': '480.919.120.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.b1', 'normal_contained_in': ['24.b1', '40.b1', '60.a1', '60.c1'], 'normal_contains': ['240.b1'], 'normalizer': '1.a1', 'old_label': '120.b1', 'projective_image': '120.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.31', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653034
{'ambient': '480.919', 'aut_centralizer_order': 2048, 'aut_label': '120.c1', 'aut_quo_index': 7, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '40.c1', '60.b1', '60.c1'], 'contains': ['240.b1'], 'core': '120.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4047, 4047, 6035, 6035], 'generators': [4, 240], 'label': '480.919.120.c1', 'mobius_quo': 2, 'mobius_sub': -8, 'normal_closure': '120.c1', 'normal_contained_in': ['24.c1', '40.c1', '60.b1', '60.c1'], 'normal_contains': ['240.b1'], 'normalizer': '1.a1', 'old_label': '120.c1', 'projective_image': '120.47', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.47', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653035
{'ambient': '480.919', 'aut_centralizer_order': 6144, 'aut_label': '160.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '80.a1', '80.b1'], 'contains': ['480.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [657, 657, 2522, 2522], 'generators': [320], 'label': '480.919.160.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '160.a1', 'normal_contained_in': ['32.a1', '80.a1', '80.b1'], 'normal_contains': ['480.a1'], 'normalizer': '1.a1', 'old_label': '160.a1', 'projective_image': '160.175', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.175', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653036
{'ambient': '480.919', 'aut_centralizer_order': 3072, 'aut_label': '240.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '1.a1', 'complements': ['2.b1'], 'conjugacy_class_count': 4, 'contained_in': ['48.a1', '80.a1', '120.a1'], 'contains': ['480.a1'], 'core': '240.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1228, 1228, 2092, 2092], 'generators': [1], 'label': '480.919.240.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '240.a1', 'normal_contained_in': ['48.a1', '80.a1', '120.a1'], 'normal_contains': ['480.a1'], 'normalizer': '1.a1', 'old_label': '240.a1', 'projective_image': '240.81', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.81', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653037
{'ambient': '480.919', 'aut_centralizer_order': 4096, 'aut_label': '240.b1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['48.b1', '80.b1', '120.a1', '120.b1', '120.c1'], 'contains': ['480.a1'], 'core': '240.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [3217, 3217, 3330, 3330], 'generators': [4], 'label': '480.919.240.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '240.b1', 'normal_contained_in': ['48.b1', '80.b1', '120.a1', '120.b1', '120.c1'], 'normal_contains': ['480.a1'], 'normalizer': '1.a1', 'old_label': '240.b1', 'projective_image': '240.185', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.185', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653038
{'ambient': '480.919', 'aut_centralizer_order': None, 'aut_label': '480.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', '160.a1', '240.a1', '240.b1'], 'contains': [], 'core': '480.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [857, 857, 2307, 2307], 'generators': [], 'label': '480.919.480.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '480.a1', 'normal_contained_in': ['96.a1', '160.a1', '240.a1', '240.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '480.a1', 'projective_image': '480.919', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653039
{'ambient': '480.919', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '64.196', 'aut_weyl_index': 192, 'centralizer': '1.a1', 'complements': ['120.b1'], 'conjugacy_class_count': 12, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.b1', '12.a1', '20.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5074, 5074, 2163, 2163], 'generators': [1, 320, 96, 120, 240], 'label': '480.919.4.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.b1', '12.a1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653040
{'ambient': '480.919', 'aut_centralizer_order': 64, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1469', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.c1', '12.b1', '20.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3989, 3989, 3426, 3426], 'generators': [1, 240, 320, 4, 96], 'label': '480.919.4.b1', 'mobius_quo': -8, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.c1', '12.b1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653041
{'ambient': '480.919', 'aut_centralizer_order': 32, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 192, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.b1', '8.c1', '12.c1', '20.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [6132, 6132, 5569, 5569], 'generators': [4, 320, 96, 120, 240], 'label': '480.919.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.b1', '8.c1', '12.c1', '20.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653042
{'ambient': '480.919', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '3072.bjj', 'aut_weyl_index': 4, 'centralizer': '1.a1', 'complements': ['96.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '15.a1'], 'core': '5.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9304, 9304, 8728, 8728], 'generators': [1, 240, 4, 2, 120, 320], 'label': '480.919.5.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '10.b1', '15.a1'], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': '5.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 58653043
{'ambient': '480.919', 'aut_centralizer_order': 16, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '256.14467', 'aut_weyl_index': 48, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.c1', '30.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6749, 6749, 4527, 4527], 'generators': [1, 360, 96, 4, 240], 'label': '480.919.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.b1', '12.c1', '30.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '6.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
