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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': True, 'abelian': False, 'abelian_quotient': '74.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 468, 'aut_gen_orders': [36, 12, 13], 'aut_gens': [[1, 2], [1, 414], [1, 298], [445, 2]], 'aut_group': None, 'aut_hash': 7001697928025818755, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 5616, 'aut_permdeg': 49, 'aut_perms': [9804558239962765469584612278893551175498471767505598080798036, 1040120105517293518653581742972710538803247338243146342839657, 471734419536464389986518659026943901497768005917183202052405251], 'aut_phi_ratio': 13.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 13, 1, 1], [13, 2, 6, 1], [37, 1, 36, 1], [74, 13, 36, 1], [481, 2, 216, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{39}.C_{12}^2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 36, 'autcent_group': '36.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 36, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_{36}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 156, 'autcentquo_group': '156.7', 'autcentquo_hash': 7, 'autcentquo_nilpotent': False, 'autcentquo_order': 156, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{13}', 'cc_stats': [[1, 1, 1], [2, 13, 1], [13, 2, 6], [37, 1, 36], [74, 13, 36], [481, 2, 216]], 'center_label': '37.1', 'center_order': 37, 'central_product': True, 'central_quotient': '26.1', 'commutator_count': 1, 'commutator_label': '13.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '13.1', '37.1'], 'composition_length': 3, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['26.1', 1], ['37.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 13, 1, 1], [13, 2, 6, 1], [37, 1, 36, 1], [74, 13, 36, 1], [481, 2, 216, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 114, 'exponent': 962, 'exponents_of_order': [1, 1, 1], 'factors_of_aut_order': [2, 3, 13], 'factors_of_order': [2, 13, 37], 'faithful_reps': [[2, 0, 216]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '962.1', 'hash': 1, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 26, 'inner_gen_orders': [2, 13], 'inner_gens': [[1, 76], [889, 2]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 26, 'inner_split': False, 'inner_tex': 'D_{13}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 432, 'irrQ_dim': 432, 'irrR_degree': 4, 'irrep_stats': [[1, 74], [2, 222]], 'label': '962.1', 'linC_count': 216, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 48, 'linQ_degree_count': 2, 'linQ_dim': 48, 'linQ_dim_count': 2, 'linR_count': 324, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'D13*C37', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 6, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 296, 'number_divisions': 6, 'number_normal_subgroups': 6, 'number_subgroup_autclasses': 8, 'number_subgroup_classes': 8, 'number_subgroups': 32, 'old_label': None, 'order': 962, 'order_factorization_type': 11, 'order_stats': [[1, 1], [2, 13], [13, 12], [37, 36], [74, 468], [481, 432]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 36, 'outer_gen_orders': [6, 36], 'outer_gen_pows': [1, 0], 'outer_gens': [[1, 298], [1, 266]], 'outer_group': '216.73', 'outer_hash': 73, 'outer_nilpotent': True, 'outer_order': 216, 'outer_permdeg': 18, 'outer_perms': [358477177058356, 1401159831871], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_6\\times C_{36}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 50, 'pgroup': 0, 'primary_abelian_invariants': [2, 37], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [12, 1], [36, 2], [432, 1]], 'representations': {'PC': {'code': 587431419695, 'gens': [1, 2], 'pres': [3, -2, -13, -37, 457, 82]}, 'Perm': {'d': 50, 'gens': [40284847, 620960027832821612639424806694551108812720525606160913670963200, 559571293]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [74], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{13}\\times C_{37}', 'transitive_degree': 481, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 143866808
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 1, 'group_order': 962, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
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id: 143866919
{'aut_label': '2A', 'centralizer': '13.a1.a1', 'counter': 2, 'group_counter': 1, 'group_order': 962, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 1, 'size': 13}
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id: 143867027
{'aut_label': '13A1', 'centralizer': '2.a1.a1', 'counter': 3, 'group_counter': 1, 'group_order': 962, 'label': '13A1', 'order': 13, 'powers': [4, 5, 1, 4], 'representative': 74, 'size': 2}
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id: 143867038
{'aut_label': '13A1', 'centralizer': '2.a1.a1', 'counter': 4, 'group_counter': 1, 'group_order': 962, 'label': '13A2', 'order': 13, 'powers': [6, 8, 1, 6], 'representative': 148, 'size': 2}
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id: 143867049
{'aut_label': '13A1', 'centralizer': '2.a1.a1', 'counter': 5, 'group_counter': 1, 'group_order': 962, 'label': '13A3', 'order': 13, 'powers': [8, 6, 1, 8], 'representative': 222, 'size': 2}
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id: 143867060
{'aut_label': '13A1', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 1, 'group_order': 962, 'label': '13A4', 'order': 13, 'powers': [7, 3, 1, 7], 'representative': 296, 'size': 2}
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id: 143867071
{'aut_label': '13A1', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 1, 'group_order': 962, 'label': '13A5', 'order': 13, 'powers': [5, 4, 1, 5], 'representative': 370, 'size': 2}
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id: 143867082
{'aut_label': '13A1', 'centralizer': '2.a1.a1', 'counter': 8, 'group_counter': 1, 'group_order': 962, 'label': '13A6', 'order': 13, 'powers': [3, 7, 1, 3], 'representative': 444, 'size': 2}
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id: 143867093
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 1, 'group_order': 962, 'label': '37A1', 'order': 37, 'powers': [11, 13, 33, 1], 'representative': 52, 'size': 1}
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id: 143866809
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 1, 'group_order': 962, 'label': '37A-1', 'order': 37, 'powers': [12, 14, 34, 1], 'representative': 910, 'size': 1}
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id: 143866820
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 1, 'group_order': 962, 'label': '37A2', 'order': 37, 'powers': [15, 19, 30, 1], 'representative': 104, 'size': 1}
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id: 143866831
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 1, 'group_order': 962, 'label': '37A-2', 'order': 37, 'powers': [16, 20, 29, 1], 'representative': 858, 'size': 1}
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id: 143866842
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 1, 'group_order': 962, 'label': '37A3', 'order': 37, 'powers': [19, 25, 11, 1], 'representative': 156, 'size': 1}
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id: 143866853
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 1, 'group_order': 962, 'label': '37A-3', 'order': 37, 'powers': [20, 26, 12, 1], 'representative': 806, 'size': 1}
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id: 143866864
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 1, 'group_order': 962, 'label': '37A4', 'order': 37, 'powers': [23, 31, 37, 1], 'representative': 208, 'size': 1}
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id: 143866875
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 1, 'group_order': 962, 'label': '37A-4', 'order': 37, 'powers': [24, 32, 38, 1], 'representative': 754, 'size': 1}
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id: 143866886
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 1, 'group_order': 962, 'label': '37A5', 'order': 37, 'powers': [27, 37, 26, 1], 'representative': 260, 'size': 1}
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id: 143866897
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 1, 'group_order': 962, 'label': '37A-5', 'order': 37, 'powers': [28, 38, 25, 1], 'representative': 702, 'size': 1}
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id: 143866908
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 1, 'group_order': 962, 'label': '37A6', 'order': 37, 'powers': [31, 43, 15, 1], 'representative': 312, 'size': 1}
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id: 143866920
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 1, 'group_order': 962, 'label': '37A-6', 'order': 37, 'powers': [32, 44, 16, 1], 'representative': 650, 'size': 1}
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id: 143866931
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 1, 'group_order': 962, 'label': '37A7', 'order': 37, 'powers': [35, 40, 41, 1], 'representative': 364, 'size': 1}
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id: 143866942
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 1, 'group_order': 962, 'label': '37A-7', 'order': 37, 'powers': [36, 39, 42, 1], 'representative': 598, 'size': 1}
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id: 143866953
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 1, 'group_order': 962, 'label': '37A8', 'order': 37, 'powers': [39, 34, 22, 1], 'representative': 416, 'size': 1}
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id: 143866964
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 1, 'group_order': 962, 'label': '37A-8', 'order': 37, 'powers': [40, 33, 21, 1], 'representative': 546, 'size': 1}
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id: 143866975
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 1, 'group_order': 962, 'label': '37A9', 'order': 37, 'powers': [43, 28, 19, 1], 'representative': 468, 'size': 1}
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id: 143866986
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 1, 'group_order': 962, 'label': '37A-9', 'order': 37, 'powers': [44, 27, 20, 1], 'representative': 494, 'size': 1}
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id: 143866997
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 1, 'group_order': 962, 'label': '37A10', 'order': 37, 'powers': [42, 22, 44, 1], 'representative': 520, 'size': 1}
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id: 143867008
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 1, 'group_order': 962, 'label': '37A-10', 'order': 37, 'powers': [41, 21, 43, 1], 'representative': 442, 'size': 1}
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id: 143867019
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 1, 'group_order': 962, 'label': '37A11', 'order': 37, 'powers': [38, 16, 18, 1], 'representative': 572, 'size': 1}
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id: 143867028
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 1, 'group_order': 962, 'label': '37A-11', 'order': 37, 'powers': [37, 15, 17, 1], 'representative': 390, 'size': 1}
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id: 143867029
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 1, 'group_order': 962, 'label': '37A12', 'order': 37, 'powers': [34, 10, 23, 1], 'representative': 624, 'size': 1}
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id: 143867030
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 1, 'group_order': 962, 'label': '37A-12', 'order': 37, 'powers': [33, 9, 24, 1], 'representative': 338, 'size': 1}
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id: 143867031
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 1, 'group_order': 962, 'label': '37A13', 'order': 37, 'powers': [30, 11, 40, 1], 'representative': 676, 'size': 1}
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id: 143867032
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 1, 'group_order': 962, 'label': '37A-13', 'order': 37, 'powers': [29, 12, 39, 1], 'representative': 286, 'size': 1}
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id: 143867033
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 1, 'group_order': 962, 'label': '37A14', 'order': 37, 'powers': [26, 17, 14, 1], 'representative': 728, 'size': 1}
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id: 143867034
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 1, 'group_order': 962, 'label': '37A-14', 'order': 37, 'powers': [25, 18, 13, 1], 'representative': 234, 'size': 1}
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id: 143867035
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 1, 'group_order': 962, 'label': '37A15', 'order': 37, 'powers': [22, 23, 27, 1], 'representative': 780, 'size': 1}
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id: 143867036
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 1, 'group_order': 962, 'label': '37A-15', 'order': 37, 'powers': [21, 24, 28, 1], 'representative': 182, 'size': 1}
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id: 143867037
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 1, 'group_order': 962, 'label': '37A16', 'order': 37, 'powers': [18, 29, 36, 1], 'representative': 832, 'size': 1}
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id: 143867039
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 1, 'group_order': 962, 'label': '37A-16', 'order': 37, 'powers': [17, 30, 35, 1], 'representative': 130, 'size': 1}
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id: 143867040
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 1, 'group_order': 962, 'label': '37A17', 'order': 37, 'powers': [14, 35, 10, 1], 'representative': 884, 'size': 1}
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id: 143867041
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 1, 'group_order': 962, 'label': '37A-17', 'order': 37, 'powers': [13, 36, 9, 1], 'representative': 78, 'size': 1}
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id: 143867042
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 1, 'group_order': 962, 'label': '37A18', 'order': 37, 'powers': [10, 41, 31, 1], 'representative': 936, 'size': 1}
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id: 143867043
{'aut_label': '37A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 1, 'group_order': 962, 'label': '37A-18', 'order': 37, 'powers': [9, 42, 32, 1], 'representative': 26, 'size': 1}
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id: 143867044
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 45, 'group_counter': 1, 'group_order': 962, 'label': '74A1', 'order': 74, 'powers': [9, 47, 57, 2], 'representative': 27, 'size': 13}
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id: 143867045
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 46, 'group_counter': 1, 'group_order': 962, 'label': '74A-1', 'order': 74, 'powers': [10, 48, 58, 2], 'representative': 937, 'size': 13}
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id: 143867046
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 47, 'group_counter': 1, 'group_order': 962, 'label': '74A3', 'order': 74, 'powers': [13, 53, 80, 2], 'representative': 5, 'size': 13}
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id: 143867047
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 48, 'group_counter': 1, 'group_order': 962, 'label': '74A-3', 'order': 74, 'powers': [14, 54, 79, 2], 'representative': 885, 'size': 13}
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id: 143867048
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 49, 'group_counter': 1, 'group_order': 962, 'label': '74A5', 'order': 74, 'powers': [17, 59, 54, 2], 'representative': 131, 'size': 13}
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id: 143867050
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 50, 'group_counter': 1, 'group_order': 962, 'label': '74A-5', 'order': 74, 'powers': [18, 60, 53, 2], 'representative': 19, 'size': 13}
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id: 143867051
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 51, 'group_counter': 1, 'group_order': 962, 'label': '74A7', 'order': 74, 'powers': [21, 65, 61, 2], 'representative': 183, 'size': 13}
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id: 143867052
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 52, 'group_counter': 1, 'group_order': 962, 'label': '74A-7', 'order': 74, 'powers': [22, 66, 62, 2], 'representative': 781, 'size': 13}
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id: 143867053
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 53, 'group_counter': 1, 'group_order': 962, 'label': '74A9', 'order': 74, 'powers': [25, 71, 76, 2], 'representative': 13, 'size': 13}
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id: 143867054
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 54, 'group_counter': 1, 'group_order': 962, 'label': '74A-9', 'order': 74, 'powers': [26, 72, 75, 2], 'representative': 729, 'size': 13}
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id: 143867055
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 55, 'group_counter': 1, 'group_order': 962, 'label': '74A11', 'order': 74, 'powers': [29, 77, 50, 2], 'representative': 287, 'size': 13}
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id: 143867056
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 56, 'group_counter': 1, 'group_order': 962, 'label': '74A-11', 'order': 74, 'powers': [30, 78, 49, 2], 'representative': 11, 'size': 13}
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id: 143867057
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 57, 'group_counter': 1, 'group_order': 962, 'label': '74A13', 'order': 74, 'powers': [33, 80, 65, 2], 'representative': 339, 'size': 13}
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id: 143867058
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 58, 'group_counter': 1, 'group_order': 962, 'label': '74A-13', 'order': 74, 'powers': [34, 79, 66, 2], 'representative': 625, 'size': 13}
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id: 143867059
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 59, 'group_counter': 1, 'group_order': 962, 'label': '74A15', 'order': 74, 'powers': [37, 74, 72, 2], 'representative': 21, 'size': 13}
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id: 143867061
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 60, 'group_counter': 1, 'group_order': 962, 'label': '74A-15', 'order': 74, 'powers': [38, 73, 71, 2], 'representative': 573, 'size': 13}
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id: 143867062
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 61, 'group_counter': 1, 'group_order': 962, 'label': '74A17', 'order': 74, 'powers': [41, 68, 46, 2], 'representative': 443, 'size': 13}
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id: 143867063
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 62, 'group_counter': 1, 'group_order': 962, 'label': '74A-17', 'order': 74, 'powers': [42, 67, 45, 2], 'representative': 3, 'size': 13}
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id: 143867064
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 63, 'group_counter': 1, 'group_order': 962, 'label': '74A19', 'order': 74, 'powers': [44, 62, 69, 2], 'representative': 495, 'size': 13}
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id: 143867065
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 64, 'group_counter': 1, 'group_order': 962, 'label': '74A-19', 'order': 74, 'powers': [43, 61, 70, 2], 'representative': 25, 'size': 13}
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id: 143867066
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 65, 'group_counter': 1, 'group_order': 962, 'label': '74A21', 'order': 74, 'powers': [40, 56, 68, 2], 'representative': 547, 'size': 13}
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id: 143867067
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 66, 'group_counter': 1, 'group_order': 962, 'label': '74A-21', 'order': 74, 'powers': [39, 55, 67, 2], 'representative': 417, 'size': 13}
-
id: 143867068
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 67, 'group_counter': 1, 'group_order': 962, 'label': '74A23', 'order': 74, 'powers': [36, 50, 47, 2], 'representative': 7, 'size': 13}
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id: 143867069
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 68, 'group_counter': 1, 'group_order': 962, 'label': '74A-23', 'order': 74, 'powers': [35, 49, 48, 2], 'representative': 365, 'size': 13}
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id: 143867070
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 69, 'group_counter': 1, 'group_order': 962, 'label': '74A25', 'order': 74, 'powers': [32, 45, 73, 2], 'representative': 651, 'size': 13}
-
id: 143867072
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 70, 'group_counter': 1, 'group_order': 962, 'label': '74A-25', 'order': 74, 'powers': [31, 46, 74, 2], 'representative': 17, 'size': 13}
-
id: 143867073
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 71, 'group_counter': 1, 'group_order': 962, 'label': '74A27', 'order': 74, 'powers': [28, 51, 64, 2], 'representative': 703, 'size': 13}
-
id: 143867074
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 72, 'group_counter': 1, 'group_order': 962, 'label': '74A-27', 'order': 74, 'powers': [27, 52, 63, 2], 'representative': 261, 'size': 13}
-
id: 143867075
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 73, 'group_counter': 1, 'group_order': 962, 'label': '74A29', 'order': 74, 'powers': [24, 57, 51, 2], 'representative': 15, 'size': 13}
-
id: 143867076
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 74, 'group_counter': 1, 'group_order': 962, 'label': '74A-29', 'order': 74, 'powers': [23, 58, 52, 2], 'representative': 209, 'size': 13}
-
id: 143867077
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 75, 'group_counter': 1, 'group_order': 962, 'label': '74A31', 'order': 74, 'powers': [20, 63, 77, 2], 'representative': 807, 'size': 13}
-
id: 143867078
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 76, 'group_counter': 1, 'group_order': 962, 'label': '74A-31', 'order': 74, 'powers': [19, 64, 78, 2], 'representative': 9, 'size': 13}
-
id: 143867079
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 77, 'group_counter': 1, 'group_order': 962, 'label': '74A33', 'order': 74, 'powers': [16, 69, 60, 2], 'representative': 859, 'size': 13}
-
id: 143867080
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 78, 'group_counter': 1, 'group_order': 962, 'label': '74A-33', 'order': 74, 'powers': [15, 70, 59, 2], 'representative': 105, 'size': 13}
-
id: 143867081
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 79, 'group_counter': 1, 'group_order': 962, 'label': '74A35', 'order': 74, 'powers': [12, 75, 55, 2], 'representative': 23, 'size': 13}
-
id: 143867083
{'aut_label': '74A1', 'centralizer': '13.a1.a1', 'counter': 80, 'group_counter': 1, 'group_order': 962, 'label': '74A-35', 'order': 74, 'powers': [11, 76, 56, 2], 'representative': 53, 'size': 13}
-
id: 143867084
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 1, 'group_order': 962, 'label': '481A1', 'order': 481, 'powers': [83, 85, 44, 3], 'representative': 2, 'size': 2}
-
id: 143867085
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 1, 'group_order': 962, 'label': '481A-1', 'order': 481, 'powers': [84, 86, 43, 3], 'representative': 886, 'size': 2}
-
id: 143867086
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 1, 'group_order': 962, 'label': '481A2', 'order': 481, 'powers': [87, 91, 9, 4], 'representative': 4, 'size': 2}
-
id: 143867087
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 1, 'group_order': 962, 'label': '481A-2', 'order': 481, 'powers': [88, 92, 10, 4], 'representative': 810, 'size': 2}
-
id: 143867088
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 1, 'group_order': 962, 'label': '481A3', 'order': 481, 'powers': [91, 97, 42, 5], 'representative': 6, 'size': 2}
-
id: 143867089
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 1, 'group_order': 962, 'label': '481A-3', 'order': 481, 'powers': [92, 98, 41, 5], 'representative': 734, 'size': 2}
-
id: 143867090
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 1, 'group_order': 962, 'label': '481A4', 'order': 481, 'powers': [95, 103, 11, 6], 'representative': 8, 'size': 2}
-
id: 143867091
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 1, 'group_order': 962, 'label': '481A-4', 'order': 481, 'powers': [96, 104, 12, 6], 'representative': 658, 'size': 2}
-
id: 143867092
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 1, 'group_order': 962, 'label': '481A5', 'order': 481, 'powers': [99, 107, 40, 7], 'representative': 10, 'size': 2}
-
id: 143867094
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 1, 'group_order': 962, 'label': '481A-5', 'order': 481, 'powers': [100, 108, 39, 7], 'representative': 582, 'size': 2}
-
id: 143867095
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 1, 'group_order': 962, 'label': '481A6', 'order': 481, 'powers': [103, 113, 13, 8], 'representative': 12, 'size': 2}
-
id: 143867096
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 1, 'group_order': 962, 'label': '481A-6', 'order': 481, 'powers': [104, 114, 14, 8], 'representative': 506, 'size': 2}
-
id: 143867097
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 1, 'group_order': 962, 'label': '481A7', 'order': 481, 'powers': [105, 119, 38, 8], 'representative': 14, 'size': 2}
-
id: 143867098
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 1, 'group_order': 962, 'label': '481A-7', 'order': 481, 'powers': [106, 120, 37, 8], 'representative': 430, 'size': 2}
-
id: 143867099
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 1, 'group_order': 962, 'label': '481A8', 'order': 481, 'powers': [109, 125, 15, 7], 'representative': 16, 'size': 2}
-
id: 143867100
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 1, 'group_order': 962, 'label': '481A-8', 'order': 481, 'powers': [110, 126, 16, 7], 'representative': 354, 'size': 2}
-
id: 143867101
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 97, 'group_counter': 1, 'group_order': 962, 'label': '481A9', 'order': 481, 'powers': [113, 127, 36, 6], 'representative': 18, 'size': 2}
-
id: 143867102
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 98, 'group_counter': 1, 'group_order': 962, 'label': '481A-9', 'order': 481, 'powers': [114, 128, 35, 6], 'representative': 278, 'size': 2}
-
id: 143867103
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 99, 'group_counter': 1, 'group_order': 962, 'label': '481A10', 'order': 481, 'powers': [117, 133, 17, 5], 'representative': 20, 'size': 2}
-
id: 143866810
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 100, 'group_counter': 1, 'group_order': 962, 'label': '481A-10', 'order': 481, 'powers': [118, 134, 18, 5], 'representative': 202, 'size': 2}
-
id: 143866811
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 101, 'group_counter': 1, 'group_order': 962, 'label': '481A11', 'order': 481, 'powers': [121, 139, 34, 4], 'representative': 22, 'size': 2}
-
id: 143866812
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 102, 'group_counter': 1, 'group_order': 962, 'label': '481A-11', 'order': 481, 'powers': [122, 140, 33, 4], 'representative': 126, 'size': 2}
-
id: 143866813
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 103, 'group_counter': 1, 'group_order': 962, 'label': '481A12', 'order': 481, 'powers': [125, 145, 19, 3], 'representative': 24, 'size': 2}
-
id: 143866814
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 104, 'group_counter': 1, 'group_order': 962, 'label': '481A-12', 'order': 481, 'powers': [126, 146, 20, 3], 'representative': 50, 'size': 2}
-
id: 143866815
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 105, 'group_counter': 1, 'group_order': 962, 'label': '481A14', 'order': 481, 'powers': [129, 151, 21, 3], 'representative': 28, 'size': 2}
-
id: 143866816
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 106, 'group_counter': 1, 'group_order': 962, 'label': '481A-14', 'order': 481, 'powers': [130, 152, 22, 3], 'representative': 860, 'size': 2}
-
id: 143866817
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 107, 'group_counter': 1, 'group_order': 962, 'label': '481A15', 'order': 481, 'powers': [133, 157, 30, 4], 'representative': 30, 'size': 2}
-
id: 143866818
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 108, 'group_counter': 1, 'group_order': 962, 'label': '481A-15', 'order': 481, 'powers': [134, 158, 29, 4], 'representative': 784, 'size': 2}
-
id: 143866819
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 109, 'group_counter': 1, 'group_order': 962, 'label': '481A16', 'order': 481, 'powers': [137, 163, 23, 5], 'representative': 32, 'size': 2}
-
id: 143866821
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 110, 'group_counter': 1, 'group_order': 962, 'label': '481A-16', 'order': 481, 'powers': [138, 164, 24, 5], 'representative': 708, 'size': 2}
-
id: 143866822
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 111, 'group_counter': 1, 'group_order': 962, 'label': '481A17', 'order': 481, 'powers': [141, 105, 28, 6], 'representative': 34, 'size': 2}
-
id: 143866823
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 112, 'group_counter': 1, 'group_order': 962, 'label': '481A-17', 'order': 481, 'powers': [142, 106, 27, 6], 'representative': 632, 'size': 2}
-
id: 143866824
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 113, 'group_counter': 1, 'group_order': 962, 'label': '481A18', 'order': 481, 'powers': [145, 169, 25, 7], 'representative': 36, 'size': 2}
-
id: 143866825
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 114, 'group_counter': 1, 'group_order': 962, 'label': '481A-18', 'order': 481, 'powers': [146, 170, 26, 7], 'representative': 556, 'size': 2}
-
id: 143866826
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 115, 'group_counter': 1, 'group_order': 962, 'label': '481A19', 'order': 481, 'powers': [81, 175, 26, 8], 'representative': 38, 'size': 2}
-
id: 143866827
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 116, 'group_counter': 1, 'group_order': 962, 'label': '481A-19', 'order': 481, 'powers': [82, 176, 25, 8], 'representative': 480, 'size': 2}
-
id: 143866828
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 117, 'group_counter': 1, 'group_order': 962, 'label': '481A20', 'order': 481, 'powers': [147, 181, 27, 8], 'representative': 40, 'size': 2}
-
id: 143866829
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 118, 'group_counter': 1, 'group_order': 962, 'label': '481A-20', 'order': 481, 'powers': [148, 182, 28, 8], 'representative': 404, 'size': 2}
-
id: 143866830
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 119, 'group_counter': 1, 'group_order': 962, 'label': '481A21', 'order': 481, 'powers': [151, 102, 24, 7], 'representative': 42, 'size': 2}
-
id: 143866832
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 120, 'group_counter': 1, 'group_order': 962, 'label': '481A-21', 'order': 481, 'powers': [152, 101, 23, 7], 'representative': 328, 'size': 2}
-
id: 143866833
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 121, 'group_counter': 1, 'group_order': 962, 'label': '481A22', 'order': 481, 'powers': [155, 185, 29, 6], 'representative': 44, 'size': 2}
-
id: 143866834
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 122, 'group_counter': 1, 'group_order': 962, 'label': '481A-22', 'order': 481, 'powers': [156, 186, 30, 6], 'representative': 252, 'size': 2}
-
id: 143866835
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 123, 'group_counter': 1, 'group_order': 962, 'label': '481A23', 'order': 481, 'powers': [159, 191, 22, 5], 'representative': 46, 'size': 2}
-
id: 143866836
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 124, 'group_counter': 1, 'group_order': 962, 'label': '481A-23', 'order': 481, 'powers': [160, 192, 21, 5], 'representative': 176, 'size': 2}
-
id: 143866837
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 125, 'group_counter': 1, 'group_order': 962, 'label': '481A24', 'order': 481, 'powers': [163, 197, 31, 4], 'representative': 48, 'size': 2}
-
id: 143866838
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 126, 'group_counter': 1, 'group_order': 962, 'label': '481A-24', 'order': 481, 'powers': [164, 198, 32, 4], 'representative': 100, 'size': 2}
-
id: 143866839
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 127, 'group_counter': 1, 'group_order': 962, 'label': '481A27', 'order': 481, 'powers': [169, 205, 18, 3], 'representative': 54, 'size': 2}
-
id: 143866840
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 128, 'group_counter': 1, 'group_order': 962, 'label': '481A-27', 'order': 481, 'powers': [170, 206, 17, 3], 'representative': 834, 'size': 2}
-
id: 143866841
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 129, 'group_counter': 1, 'group_order': 962, 'label': '481A28', 'order': 481, 'powers': [173, 211, 35, 4], 'representative': 56, 'size': 2}
-
id: 143866843
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 130, 'group_counter': 1, 'group_order': 962, 'label': '481A-28', 'order': 481, 'powers': [174, 212, 36, 4], 'representative': 758, 'size': 2}
-
id: 143866844
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 131, 'group_counter': 1, 'group_order': 962, 'label': '481A29', 'order': 481, 'powers': [177, 184, 16, 5], 'representative': 58, 'size': 2}
-
id: 143866845
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 132, 'group_counter': 1, 'group_order': 962, 'label': '481A-29', 'order': 481, 'powers': [178, 183, 15, 5], 'representative': 682, 'size': 2}
-
id: 143866846
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 133, 'group_counter': 1, 'group_order': 962, 'label': '481A30', 'order': 481, 'powers': [181, 167, 37, 6], 'representative': 60, 'size': 2}
-
id: 143866847
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 134, 'group_counter': 1, 'group_order': 962, 'label': '481A-30', 'order': 481, 'powers': [182, 168, 38, 6], 'representative': 606, 'size': 2}
-
id: 143866848
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 135, 'group_counter': 1, 'group_order': 962, 'label': '481A31', 'order': 481, 'powers': [166, 219, 14, 7], 'representative': 62, 'size': 2}
-
id: 143866849
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 136, 'group_counter': 1, 'group_order': 962, 'label': '481A-31', 'order': 481, 'powers': [165, 220, 13, 7], 'representative': 530, 'size': 2}
-
id: 143866850
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 137, 'group_counter': 1, 'group_order': 962, 'label': '481A32', 'order': 481, 'powers': [127, 225, 39, 8], 'representative': 64, 'size': 2}
-
id: 143866851
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 138, 'group_counter': 1, 'group_order': 962, 'label': '481A-32', 'order': 481, 'powers': [128, 226, 40, 8], 'representative': 454, 'size': 2}
-
id: 143866852
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 139, 'group_counter': 1, 'group_order': 962, 'label': '481A33', 'order': 481, 'powers': [185, 216, 12, 8], 'representative': 66, 'size': 2}
-
id: 143866854
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 140, 'group_counter': 1, 'group_order': 962, 'label': '481A-33', 'order': 481, 'powers': [186, 215, 11, 8], 'representative': 378, 'size': 2}
-
id: 143866855
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 141, 'group_counter': 1, 'group_order': 962, 'label': '481A34', 'order': 481, 'powers': [189, 129, 41, 7], 'representative': 68, 'size': 2}
-
id: 143866856
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 142, 'group_counter': 1, 'group_order': 962, 'label': '481A-34', 'order': 481, 'powers': [190, 130, 42, 7], 'representative': 302, 'size': 2}
-
id: 143866857
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 143, 'group_counter': 1, 'group_order': 962, 'label': '481A35', 'order': 481, 'powers': [193, 231, 10, 6], 'representative': 70, 'size': 2}
-
id: 143866858
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 144, 'group_counter': 1, 'group_order': 962, 'label': '481A-35', 'order': 481, 'powers': [194, 232, 9, 6], 'representative': 226, 'size': 2}
-
id: 143866859
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 145, 'group_counter': 1, 'group_order': 962, 'label': '481A36', 'order': 481, 'powers': [197, 237, 43, 5], 'representative': 72, 'size': 2}
-
id: 143866860
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 146, 'group_counter': 1, 'group_order': 962, 'label': '481A-36', 'order': 481, 'powers': [198, 238, 44, 5], 'representative': 150, 'size': 2}
-
id: 143866861
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 147, 'group_counter': 1, 'group_order': 962, 'label': '481A40', 'order': 481, 'powers': [203, 247, 42, 3], 'representative': 80, 'size': 2}
-
id: 143866862
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 148, 'group_counter': 1, 'group_order': 962, 'label': '481A-40', 'order': 481, 'powers': [204, 248, 41, 3], 'representative': 808, 'size': 2}
-
id: 143866863
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 149, 'group_counter': 1, 'group_order': 962, 'label': '481A41', 'order': 481, 'powers': [207, 253, 11, 4], 'representative': 82, 'size': 2}
-
id: 143866865
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 150, 'group_counter': 1, 'group_order': 962, 'label': '481A-41', 'order': 481, 'powers': [208, 254, 12, 4], 'representative': 732, 'size': 2}
-
id: 143866866
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 151, 'group_counter': 1, 'group_order': 962, 'label': '481A42', 'order': 481, 'powers': [211, 122, 40, 5], 'representative': 84, 'size': 2}
-
id: 143866867
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 152, 'group_counter': 1, 'group_order': 962, 'label': '481A-42', 'order': 481, 'powers': [212, 121, 39, 5], 'representative': 656, 'size': 2}
-
id: 143866868
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 153, 'group_counter': 1, 'group_order': 962, 'label': '481A43', 'order': 481, 'powers': [215, 217, 13, 6], 'representative': 86, 'size': 2}
-
id: 143866869
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 154, 'group_counter': 1, 'group_order': 962, 'label': '481A-43', 'order': 481, 'powers': [216, 218, 14, 6], 'representative': 580, 'size': 2}
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id: 143866870
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id: 143866873
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id: 143866874
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id: 143866876
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id: 143866877
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id: 143866878
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id: 143866879
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id: 143866880
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id: 143866881
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id: 143866882
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id: 143866883
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id: 143866884
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id: 143866885
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id: 143866887
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id: 143866888
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id: 143866889
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id: 143866890
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id: 143866891
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id: 143866892
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id: 143866893
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id: 143866894
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id: 143866895
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id: 143866896
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id: 143866898
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id: 143866899
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id: 143866900
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id: 143866901
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id: 143866902
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id: 143866903
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id: 143866904
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id: 143866905
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id: 143866906
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id: 143866907
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id: 143866909
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id: 143866910
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id: 143866911
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id: 143866912
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id: 143866913
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id: 143866914
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id: 143866915
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id: 143866916
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id: 143866917
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id: 143866918
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id: 143866921
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id: 143866922
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id: 143866923
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id: 143866924
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id: 143866925
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id: 143866926
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id: 143866927
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id: 143866928
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id: 143866929
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id: 143866930
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id: 143866932
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id: 143866933
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id: 143866934
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id: 143866935
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id: 143866936
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id: 143866937
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id: 143866938
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id: 143866939
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id: 143866940
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id: 143866941
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id: 143866943
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id: 143866944
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id: 143866945
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id: 143866946
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id: 143866947
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id: 143866948
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id: 143866949
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id: 143866950
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id: 143866951
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id: 143866952
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id: 143866954
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id: 143866955
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id: 143866956
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id: 143866957
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id: 143866958
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id: 143866959
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id: 143866960
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id: 143866961
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id: 143866962
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id: 143866963
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id: 143866965
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id: 143866966
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id: 143866967
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-
id: 143866968
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 243, 'group_counter': 1, 'group_order': 962, 'label': '481A118', 'order': 481, 'powers': [284, 110, 38, 3], 'representative': 236, 'size': 2}
-
id: 143866969
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 244, 'group_counter': 1, 'group_order': 962, 'label': '481A-118', 'order': 481, 'powers': [283, 109, 37, 3], 'representative': 652, 'size': 2}
-
id: 143866970
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 245, 'group_counter': 1, 'group_order': 962, 'label': '481A119', 'order': 481, 'powers': [224, 229, 15, 4], 'representative': 238, 'size': 2}
-
id: 143866971
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 246, 'group_counter': 1, 'group_order': 962, 'label': '481A-119', 'order': 481, 'powers': [223, 230, 16, 4], 'representative': 576, 'size': 2}
-
id: 143866972
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 247, 'group_counter': 1, 'group_order': 962, 'label': '481A120', 'order': 481, 'powers': [116, 250, 36, 5], 'representative': 240, 'size': 2}
-
id: 143866973
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 248, 'group_counter': 1, 'group_order': 962, 'label': '481A-120', 'order': 481, 'powers': [115, 249, 35, 5], 'representative': 500, 'size': 2}
-
id: 143866974
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 249, 'group_counter': 1, 'group_order': 962, 'label': '481A121', 'order': 481, 'powers': [175, 244, 17, 6], 'representative': 242, 'size': 2}
-
id: 143866976
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 250, 'group_counter': 1, 'group_order': 962, 'label': '481A-121', 'order': 481, 'powers': [176, 243, 18, 6], 'representative': 424, 'size': 2}
-
id: 143866977
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 251, 'group_counter': 1, 'group_order': 962, 'label': '481A122', 'order': 481, 'powers': [259, 150, 34, 7], 'representative': 244, 'size': 2}
-
id: 143866978
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 252, 'group_counter': 1, 'group_order': 962, 'label': '481A-122', 'order': 481, 'powers': [260, 149, 33, 7], 'representative': 348, 'size': 2}
-
id: 143866979
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 253, 'group_counter': 1, 'group_order': 962, 'label': '481A123', 'order': 481, 'powers': [295, 199, 19, 8], 'representative': 246, 'size': 2}
-
id: 143866980
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 254, 'group_counter': 1, 'group_order': 962, 'label': '481A-123', 'order': 481, 'powers': [296, 200, 20, 8], 'representative': 272, 'size': 2}
-
id: 143866981
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 255, 'group_counter': 1, 'group_order': 962, 'label': '481A131', 'order': 481, 'powers': [268, 123, 27, 3], 'representative': 262, 'size': 2}
-
id: 143866982
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 256, 'group_counter': 1, 'group_order': 962, 'label': '481A-131', 'order': 481, 'powers': [267, 124, 28, 3], 'representative': 626, 'size': 2}
-
id: 143866983
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 257, 'group_counter': 1, 'group_order': 962, 'label': '481A132', 'order': 481, 'powers': [192, 214, 24, 4], 'representative': 264, 'size': 2}
-
id: 143866984
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 258, 'group_counter': 1, 'group_order': 962, 'label': '481A-132', 'order': 481, 'powers': [191, 213, 23, 4], 'representative': 550, 'size': 2}
-
id: 143866985
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 259, 'group_counter': 1, 'group_order': 962, 'label': '481A133', 'order': 481, 'powers': [93, 208, 29, 5], 'representative': 266, 'size': 2}
-
id: 143866987
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 260, 'group_counter': 1, 'group_order': 962, 'label': '481A-133', 'order': 481, 'powers': [94, 207, 30, 5], 'representative': 474, 'size': 2}
-
id: 143866988
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 261, 'group_counter': 1, 'group_order': 962, 'label': '481A134', 'order': 481, 'powers': [209, 202, 22, 6], 'representative': 268, 'size': 2}
-
id: 143866989
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 262, 'group_counter': 1, 'group_order': 962, 'label': '481A-134', 'order': 481, 'powers': [210, 201, 21, 6], 'representative': 398, 'size': 2}
-
id: 143866990
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 263, 'group_counter': 1, 'group_order': 962, 'label': '481A135', 'order': 481, 'powers': [277, 84, 31, 7], 'representative': 270, 'size': 2}
-
id: 143866991
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 264, 'group_counter': 1, 'group_order': 962, 'label': '481A-135', 'order': 481, 'powers': [278, 83, 32, 7], 'representative': 322, 'size': 2}
-
id: 143866992
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 265, 'group_counter': 1, 'group_order': 962, 'label': '481A144', 'order': 481, 'powers': [246, 166, 12, 3], 'representative': 288, 'size': 2}
-
id: 143866993
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 266, 'group_counter': 1, 'group_order': 962, 'label': '481A-144', 'order': 481, 'powers': [245, 165, 11, 3], 'representative': 600, 'size': 2}
-
id: 143866994
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 267, 'group_counter': 1, 'group_order': 962, 'label': '481A145', 'order': 481, 'powers': [154, 160, 41, 4], 'representative': 290, 'size': 2}
-
id: 143866995
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 268, 'group_counter': 1, 'group_order': 962, 'label': '481A-145', 'order': 481, 'powers': [153, 159, 42, 4], 'representative': 524, 'size': 2}
-
id: 143866996
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 269, 'group_counter': 1, 'group_order': 962, 'label': '481A146', 'order': 481, 'powers': [139, 154, 10, 5], 'representative': 292, 'size': 2}
-
id: 143866998
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 270, 'group_counter': 1, 'group_order': 962, 'label': '481A-146', 'order': 481, 'powers': [140, 153, 9, 5], 'representative': 448, 'size': 2}
-
id: 143866999
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 271, 'group_counter': 1, 'group_order': 962, 'label': '481A147', 'order': 481, 'powers': [239, 148, 43, 6], 'representative': 294, 'size': 2}
-
id: 143867000
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 272, 'group_counter': 1, 'group_order': 962, 'label': '481A-147', 'order': 481, 'powers': [240, 147, 44, 6], 'representative': 372, 'size': 2}
-
id: 143867001
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 273, 'group_counter': 1, 'group_order': 962, 'label': '481A157', 'order': 481, 'powers': [220, 100, 36, 3], 'representative': 314, 'size': 2}
-
id: 143867002
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 274, 'group_counter': 1, 'group_order': 962, 'label': '481A-157', 'order': 481, 'powers': [219, 99, 35, 3], 'representative': 574, 'size': 2}
-
id: 143867003
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 275, 'group_counter': 1, 'group_order': 962, 'label': '481A158', 'order': 481, 'powers': [112, 94, 17, 4], 'representative': 316, 'size': 2}
-
id: 143867004
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 276, 'group_counter': 1, 'group_order': 962, 'label': '481A-158', 'order': 481, 'powers': [111, 93, 18, 4], 'representative': 498, 'size': 2}
-
id: 143867005
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 277, 'group_counter': 1, 'group_order': 962, 'label': '481A159', 'order': 481, 'powers': [179, 88, 34, 5], 'representative': 318, 'size': 2}
-
id: 143867006
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 278, 'group_counter': 1, 'group_order': 962, 'label': '481A-159', 'order': 481, 'powers': [180, 87, 33, 5], 'representative': 422, 'size': 2}
-
id: 143867007
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 279, 'group_counter': 1, 'group_order': 962, 'label': '481A160', 'order': 481, 'powers': [263, 82, 19, 6], 'representative': 320, 'size': 2}
-
id: 143867009
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 280, 'group_counter': 1, 'group_order': 962, 'label': '481A-160', 'order': 481, 'powers': [264, 81, 20, 6], 'representative': 346, 'size': 2}
-
id: 143867010
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 281, 'group_counter': 1, 'group_order': 962, 'label': '481A170', 'order': 481, 'powers': [188, 131, 29, 3], 'representative': 340, 'size': 2}
-
id: 143867011
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 282, 'group_counter': 1, 'group_order': 962, 'label': '481A-170', 'order': 481, 'powers': [187, 132, 30, 3], 'representative': 548, 'size': 2}
-
id: 143867012
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 283, 'group_counter': 1, 'group_order': 962, 'label': '481A171', 'order': 481, 'powers': [97, 137, 22, 4], 'representative': 342, 'size': 2}
-
id: 143867013
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 284, 'group_counter': 1, 'group_order': 962, 'label': '481A-171', 'order': 481, 'powers': [98, 138, 21, 4], 'representative': 472, 'size': 2}
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id: 143867014
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 285, 'group_counter': 1, 'group_order': 962, 'label': '481A172', 'order': 481, 'powers': [213, 143, 31, 5], 'representative': 344, 'size': 2}
-
id: 143867015
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 286, 'group_counter': 1, 'group_order': 962, 'label': '481A-172', 'order': 481, 'powers': [214, 144, 32, 5], 'representative': 396, 'size': 2}
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id: 143867016
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 287, 'group_counter': 1, 'group_order': 962, 'label': '481A183', 'order': 481, 'powers': [150, 189, 10, 3], 'representative': 366, 'size': 2}
-
id: 143867017
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 288, 'group_counter': 1, 'group_order': 962, 'label': '481A-183', 'order': 481, 'powers': [149, 190, 9, 3], 'representative': 522, 'size': 2}
-
id: 143867018
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 289, 'group_counter': 1, 'group_order': 962, 'label': '481A184', 'order': 481, 'powers': [143, 195, 43, 4], 'representative': 368, 'size': 2}
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id: 143867020
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 290, 'group_counter': 1, 'group_order': 962, 'label': '481A-184', 'order': 481, 'powers': [144, 196, 44, 4], 'representative': 446, 'size': 2}
-
id: 143867021
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 291, 'group_counter': 1, 'group_order': 962, 'label': '481A196', 'order': 481, 'powers': [108, 235, 34, 3], 'representative': 392, 'size': 2}
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id: 143867022
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 292, 'group_counter': 1, 'group_order': 962, 'label': '481A-196', 'order': 481, 'powers': [107, 236, 33, 3], 'representative': 496, 'size': 2}
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id: 143867023
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 293, 'group_counter': 1, 'group_order': 962, 'label': '481A197', 'order': 481, 'powers': [183, 241, 19, 4], 'representative': 394, 'size': 2}
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id: 143867024
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 294, 'group_counter': 1, 'group_order': 962, 'label': '481A-197', 'order': 481, 'powers': [184, 242, 20, 4], 'representative': 420, 'size': 2}
-
id: 143867025
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 295, 'group_counter': 1, 'group_order': 962, 'label': '481A209', 'order': 481, 'powers': [101, 269, 31, 3], 'representative': 418, 'size': 2}
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id: 143867026
{'aut_label': '481A1', 'centralizer': '2.a1.a1', 'counter': 296, 'group_counter': 1, 'group_order': 962, 'label': '481A-209', 'order': 481, 'powers': [102, 270, 32, 3], 'representative': 470, 'size': 2}
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gps_qchar • Show schema
Hide schema
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id: 13959157
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '962.1', 'group_order': 962, 'image': None, 'label': '962.1.1a', '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], 'schur_index': 1}
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id: 13959158
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '962.1', 'group_order': 962, 'image': None, 'label': '962.1.1b', '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], 'schur_index': 1}
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id: 13959161
{'cdim': 2, 'counter': 5, 'faithful': False, 'group': '962.1', 'group_order': 962, 'image': None, 'label': '962.1.2a', 'multiplicity': 6, 'nt': [13, 2], 'qdim': 12, 'qvalues': [12, 0, -1, -1, -1, -1, -1, -1, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13959159
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id: 13959160
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id: 13959162
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gps_char • Show schema
Hide schema
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id: 33023799
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id: 33024018
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id: 33023822
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id: 33023833
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id: 33023844
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id: 33023855
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id: 33023866
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id: 33023877
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id: 33023888
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id: 33023899
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id: 33023911
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id: 33023922
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id: 33024029
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id: 33023933
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id: 33023944
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id: 33023955
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id: 33023966
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id: 33023977
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id: 33023988
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id: 33023999
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id: 33024010
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id: 33024019
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id: 33024020
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id: 33024040
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id: 33024021
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id: 33024022
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id: 33024023
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id: 33024024
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id: 33024025
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id: 33024026
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id: 33024027
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id: 33024051
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id: 33024062
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id: 33024073
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id: 33024084
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id: 33023800
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id: 33023811
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id: 33024028
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id: 33024038
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id: 33024039
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id: 33024041
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id: 33024042
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id: 33024043
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id: 33024045
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id: 33024046
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id: 33024047
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id: 33024048
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id: 33024030
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id: 33024049
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id: 33024058
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id: 33024059
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id: 33024031
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id: 33024060
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id: 33024061
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id: 33024066
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id: 33024033
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id: 33024034
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id: 33024035
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id: 33024037
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id: 33024068
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id: 33024069
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id: 33024070
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id: 33024071
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id: 33024072
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id: 33024074
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id: 33023893
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id: 33023906
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id: 33023818
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id: 33023825
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id: 33023863
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id: 33023871
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gps_subgroup_search • Show schema
Hide schema
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id: 115652002
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '962.1', 'ambient_counter': 1, 'ambient_order': 962, 'ambient_tex': 'D_{13}\\times C_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 37, 'characteristic': True, 'core_order': 962, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 962, 'label': '962.1.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '962.1', 'subgroup_hash': 1, 'subgroup_order': 962, 'subgroup_tex': 'D_{13}\\times C_{37}', 'supersolvable': True, 'sylow': 0}
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id: 115652003
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '962.1', 'ambient_counter': 1, 'ambient_order': 962, 'ambient_tex': 'D_{13}\\times C_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 481, 'characteristic': True, 'core_order': 481, 'counter': 2, 'cyclic': True, 'direct': False, 'hall': 481, 'label': '962.1.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '481.1', 'subgroup_hash': 1, 'subgroup_order': 481, 'subgroup_tex': 'C_{481}', 'supersolvable': True, 'sylow': 0}
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id: 115652004
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '962.1', 'ambient_counter': 1, 'ambient_order': 962, 'ambient_tex': 'D_{13}\\times C_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 74, 'characteristic': False, 'core_order': 37, 'counter': 3, 'cyclic': True, 'direct': None, 'hall': 74, 'label': '962.1.13.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '74.2', 'subgroup_hash': 2, 'subgroup_order': 74, 'subgroup_tex': 'C_{74}', 'supersolvable': True, 'sylow': 0}
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id: 115652005
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '962.1', 'ambient_counter': 1, 'ambient_order': 962, 'ambient_tex': 'D_{13}\\times C_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 962, 'characteristic': True, 'core_order': 37, 'counter': 4, 'cyclic': True, 'direct': True, 'hall': 37, 'label': '962.1.26.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '26.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '26.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 26, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{13}', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U0', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '37.1', 'subgroup_hash': 1, 'subgroup_order': 37, 'subgroup_tex': 'C_{37}', 'supersolvable': True, 'sylow': 37}
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id: 115652006
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '962.1', 'ambient_counter': 1, 'ambient_order': 962, 'ambient_tex': 'D_{13}\\times C_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 37, 'characteristic': True, 'core_order': 26, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 26, 'label': '962.1.37.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '37.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '37.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 37, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{37}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '26.1', 'subgroup_hash': 1, 'subgroup_order': 26, 'subgroup_tex': 'D_{13}', 'supersolvable': True, 'sylow': 0}
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id: 115652007
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '962.1', 'ambient_counter': 1, 'ambient_order': 962, 'ambient_tex': 'D_{13}\\times C_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 481, 'characteristic': True, 'core_order': 13, 'counter': 6, 'cyclic': True, 'direct': False, 'hall': 13, 'label': '962.1.74.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '74.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '74.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 74, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{74}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '13.1', 'subgroup_hash': 1, 'subgroup_order': 13, 'subgroup_tex': 'C_{13}', 'supersolvable': True, 'sylow': 13}
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id: 115652008
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '962.1', 'ambient_counter': 1, 'ambient_order': 962, 'ambient_tex': 'D_{13}\\times C_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 74, 'characteristic': False, 'core_order': 1, 'counter': 7, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '962.1.481.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '481.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 481, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 2}
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id: 115652009
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '962.1', 'ambient_counter': 1, 'ambient_order': 962, 'ambient_tex': 'D_{13}\\times C_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 962, 'characteristic': True, 'core_order': 1, 'counter': 8, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '962.1.962.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '962.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '962.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 962, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{13}\\times C_{37}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'PC', 'U1', 'D2', 'C3'], '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: 115652002
{'ambient': '962.1', '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': '26.a1.a1', 'complements': ['962.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '13.a1.a1', '37.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3698, 3728, 6231, 6649, 5166, 5000, 5166, 5000], 'generators': [1, 26, 444], 'label': '962.1.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '37.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '26.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '26.1'}
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id: 115652003
{'ambient': '962.1', 'aut_centralizer_order': 13, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '432.200', 'aut_weyl_index': 13, 'centralizer': '2.a1.a1', 'complements': ['481.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['26.a1.a1', '74.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6303, 5194, 3615, 4772, 1540, 7717, 1540, 7717], 'generators': [444, 26], 'label': '962.1.2.a1.a1', 'mobius_quo': 1, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['26.a1.a1', '74.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '26.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 115652004
{'ambient': '962.1', 'aut_centralizer_order': 12, 'aut_label': '13.a1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '36.2', 'aut_weyl_index': 156, 'centralizer': '13.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['26.a1.a1', '481.a1.a1'], 'core': '26.a1.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [3812, -1, 8654, -1, 8636, -1, 8636, -1], 'generators': [1, 26], 'label': '962.1.13.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1.a1', 'old_label': '13.a1.a1', 'projective_image': '26.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 115652005
{'ambient': '962.1', 'aut_centralizer_order': 156, 'aut_label': '26.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '36.2', 'aut_weyl_index': 156, 'centralizer': '1.a1.a1', 'complements': ['37.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '13.a1.a1'], 'contains': ['962.a1.a1'], 'core': '26.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8640, 7737, 3769, 1776, 5244, 7717, 5244, 7717], 'generators': [26], 'label': '962.1.26.a1.a1', 'mobius_quo': -1, 'mobius_sub': 13, 'normal_closure': '26.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['962.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '26.a1.a1', 'projective_image': '26.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '26.1', 'quotient_action_kernel_order': 26, 'quotient_fusion': None, 'short_label': '26.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 115652006
{'ambient': '962.1', 'aut_centralizer_order': 36, 'aut_label': '37.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '156.7', 'aut_weyl_index': 36, 'centralizer': '26.a1.a1', 'complements': ['26.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['74.a1.a1', '481.a1.a1'], 'core': '37.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1360, 2263, 6231, 8224, 5166, 2341, 5166, 2341], 'generators': [1, 444], 'label': '962.1.37.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '37.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['74.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '37.a1.a1', 'projective_image': '962.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '37.1', 'quotient_action_kernel_order': 37, 'quotient_fusion': None, 'short_label': '37.a1.a1', 'subgroup_fusion': None, 'weyl_group': '26.1'}
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id: 115652007
{'ambient': '962.1', 'aut_centralizer_order': 468, 'aut_label': '74.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.2', 'aut_weyl_index': 468, 'centralizer': '2.a1.a1', 'complements': ['13.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '37.a1.a1'], 'contains': ['962.a1.a1'], 'core': '74.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6226, 5021, 1346, 4973, 1813, 2630, 1813, 2630], 'generators': [444], 'label': '962.1.74.a1.a1', 'mobius_quo': -1, 'mobius_sub': 1, 'normal_closure': '74.a1.a1', 'normal_contained_in': ['2.a1.a1', '37.a1.a1'], 'normal_contains': ['962.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '74.a1.a1', 'projective_image': '962.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '37.1', 'quotient_action_kernel_order': 37, 'quotient_fusion': None, 'short_label': '74.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 115652008
{'ambient': '962.1', 'aut_centralizer_order': 432, 'aut_label': '481.a1', 'aut_quo_index': None, 'aut_stab_index': 13, 'aut_weyl_group': '1.1', 'aut_weyl_index': 5616, 'centralizer': '13.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['13.a1.a1', '37.a1.a1'], 'contains': ['962.a1.a1'], 'core': '962.a1.a1', 'coset_action_label': None, 'count': 13, 'diagramx': [3812, -1, 6231, -1, 8363, -1, 8363, -1], 'generators': [1], 'label': '962.1.481.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '37.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13.a1.a1', 'old_label': '481.a1.a1', 'projective_image': '962.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '481.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 115652009
{'ambient': '962.1', 'aut_centralizer_order': None, 'aut_label': '962.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['26.a1.a1', '74.a1.a1', '481.a1.a1'], 'contains': [], 'core': '962.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6226, 6400, 3769, 3401, 5244, 5174, 5244, 5174], 'generators': [], 'label': '962.1.962.a1.a1', 'mobius_quo': 1, 'mobius_sub': -13, 'normal_closure': '962.a1.a1', 'normal_contained_in': ['26.a1.a1', '74.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '962.a1.a1', 'projective_image': '962.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '962.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
