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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': True, 'abelian': True, 'abelian_quotient': '568.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': True, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 70, 'aut_gen_orders': [2, 2, 70], 'aut_gens': [[1], [427], [285], [433]], 'aut_group': '280.40', 'aut_hash': 40, 'aut_nilpotency_class': 1, 'aut_nilpotent': True, 'aut_order': 280, 'aut_permdeg': 74, 'aut_perms': [1485118931745280274377654830442374067200, 5618378295767371449461101683378092467200, 310266786668898848232216861426954334417388233670498478081880205837212132189718572501624441321143904568200426], 'aut_phi_ratio': 1.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 1, 2, 1], [8, 1, 4, 1], [71, 1, 70, 1], [142, 1, 70, 1], [284, 1, 140, 1], [568, 1, 280, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^2\\times C_{70}', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 70, 'autcent_group': '280.40', 'autcent_hash': 40, 'autcent_nilpotent': True, 'autcent_order': 280, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\times C_{70}', '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, 1], [4, 1, 2], [8, 1, 4], [71, 1, 70], [142, 1, 70], [284, 1, 140], [568, 1, 280]], 'center_label': '568.2', 'center_order': 568, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '71.1'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 2, 'cyclic': True, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['71.1', 1], ['8.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 1, 2, 1], [8, 1, 4, 1], [71, 1, 70, 1], [142, 1, 70, 1], [284, 1, 140, 1], [568, 1, 280, 1]], 'element_repr_type': 'PC', 'elementary': 142, 'eulerian_function': 1, 'exponent': 568, 'exponents_of_order': [3, 1], 'factors_of_aut_order': [2, 5, 7], 'factors_of_order': [2, 71], 'faithful_reps': [[1, 0, 280]], 'familial': True, 'frattini_label': '4.1', 'frattini_quotient': '142.2', 'hash': 2, 'hyperelementary': 142, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1], 'inner_gens': [[1]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': 1, 'irrQ_degree': 280, 'irrQ_dim': 280, 'irrR_degree': None, 'irrep_stats': [[1, 568]], 'label': '568.2', 'linC_count': None, 'linC_degree': 1, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C568', 'ngens': 4, 'nilpotency_class': 1, 'nilpotent': True, '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': 8, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 568, 'number_divisions': 8, 'number_normal_subgroups': 8, 'number_subgroup_autclasses': 8, 'number_subgroup_classes': 8, 'number_subgroups': 8, 'old_label': None, 'order': 568, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 1], [4, 2], [8, 4], [71, 70], [142, 70], [284, 140], [568, 280]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 70, 'outer_gen_orders': [2, 2, 70], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[427], [285], [433]], 'outer_group': '280.40', 'outer_hash': 40, 'outer_nilpotent': True, 'outer_order': 280, 'outer_permdeg': 74, 'outer_perms': [1485118931745280274377654830442374067200, 5618378295767371449461101683378092467200, 310266786668898848232216861426954334417388233670498478081880205837212132189718572501624441321143904568200426], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_{70}', 'pc_rank': 1, 'perfect': False, 'permutation_degree': 79, 'pgroup': 0, 'primary_abelian_invariants': [8, 71], 'quasisimple': False, 'rank': 1, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 1], [4, 1], [70, 2], [140, 1], [280, 1]], 'representations': {'PC': {'code': 4463558281350069, 'gens': [1], 'pres': [4, -2, -2, -2, -71, 8, 21, 34]}, 'GLFp': {'d': 2, 'p': 283, 'gens': [6218437099]}, 'Perm': {'d': 79, 'gens': [80148708014983709820619392330594084273392254614880077681257470363320117224279036327358103434559488000000000000000000, 838500016897892425725094860518236911552125669978249810028875400523960670795289172377600000000000000000, 34263210719981328612481997404010354196174178154116529551211175169856570649375466449944452067040952320000000000000000, 11326167003757742492028036403807459666929036792447661232104303813247547019652910390126991091674644480000000000000000]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [568], 'solvability_type': 0, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{568}', 'transitive_degree': 568, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 138747405
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 2, 'group_order': 568, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
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id: 138747516
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 2, 'group_order': 568, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 284, 'size': 1}
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id: 138747627
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 2, 'group_order': 568, 'label': '4A1', 'order': 4, 'powers': [2, 3, 4, 4], 'representative': 142, 'size': 1}
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id: 138747738
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 2, 'group_order': 568, 'label': '4A-1', 'order': 4, 'powers': [2, 4, 3, 3], 'representative': 426, 'size': 1}
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id: 138747849
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 2, 'group_order': 568, 'label': '8A1', 'order': 8, 'powers': [3, 8, 6, 6], 'representative': 71, 'size': 1}
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id: 138747929
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 2, 'group_order': 568, 'label': '8A-1', 'order': 8, 'powers': [4, 7, 5, 5], 'representative': 497, 'size': 1}
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id: 138747940
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 2, 'group_order': 568, 'label': '8A3', 'order': 8, 'powers': [4, 6, 8, 8], 'representative': 213, 'size': 1}
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id: 138747951
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 2, 'group_order': 568, 'label': '8A-3', 'order': 8, 'powers': [3, 5, 7, 7], 'representative': 355, 'size': 1}
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id: 138747962
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 2, 'group_order': 568, 'label': '71A1', 'order': 71, 'powers': [11, 17, 21, 1], 'representative': 8, 'size': 1}
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id: 138747406
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 2, 'group_order': 568, 'label': '71A-1', 'order': 71, 'powers': [12, 18, 22, 1], 'representative': 560, 'size': 1}
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id: 138747417
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 2, 'group_order': 568, 'label': '71A2', 'order': 71, 'powers': [15, 27, 35, 1], 'representative': 16, 'size': 1}
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id: 138747428
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 2, 'group_order': 568, 'label': '71A-2', 'order': 71, 'powers': [16, 28, 36, 1], 'representative': 552, 'size': 1}
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id: 138747439
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 2, 'group_order': 568, 'label': '71A3', 'order': 71, 'powers': [19, 37, 49, 1], 'representative': 24, 'size': 1}
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id: 138747450
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 2, 'group_order': 568, 'label': '71A-3', 'order': 71, 'powers': [20, 38, 50, 1], 'representative': 544, 'size': 1}
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id: 138747461
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 2, 'group_order': 568, 'label': '71A4', 'order': 71, 'powers': [23, 47, 63, 1], 'representative': 32, 'size': 1}
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id: 138747472
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 2, 'group_order': 568, 'label': '71A-4', 'order': 71, 'powers': [24, 48, 64, 1], 'representative': 536, 'size': 1}
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id: 138747483
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 2, 'group_order': 568, 'label': '71A5', 'order': 71, 'powers': [27, 57, 77, 1], 'representative': 40, 'size': 1}
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id: 138747494
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 2, 'group_order': 568, 'label': '71A-5', 'order': 71, 'powers': [28, 58, 78, 1], 'representative': 528, 'size': 1}
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id: 138747505
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 2, 'group_order': 568, 'label': '71A6', 'order': 71, 'powers': [31, 67, 66, 1], 'representative': 48, 'size': 1}
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id: 138747517
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 2, 'group_order': 568, 'label': '71A-6', 'order': 71, 'powers': [32, 68, 65, 1], 'representative': 520, 'size': 1}
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id: 138747528
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 2, 'group_order': 568, 'label': '71A7', 'order': 71, 'powers': [35, 77, 52, 1], 'representative': 56, 'size': 1}
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id: 138747539
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 2, 'group_order': 568, 'label': '71A-7', 'order': 71, 'powers': [36, 78, 51, 1], 'representative': 512, 'size': 1}
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id: 138747550
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 2, 'group_order': 568, 'label': '71A8', 'order': 71, 'powers': [39, 70, 38, 1], 'representative': 64, 'size': 1}
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id: 138747561
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 2, 'group_order': 568, 'label': '71A-8', 'order': 71, 'powers': [40, 69, 37, 1], 'representative': 504, 'size': 1}
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id: 138747572
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 2, 'group_order': 568, 'label': '71A9', 'order': 71, 'powers': [43, 60, 24, 1], 'representative': 72, 'size': 1}
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id: 138747583
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 2, 'group_order': 568, 'label': '71A-9', 'order': 71, 'powers': [44, 59, 23, 1], 'representative': 496, 'size': 1}
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id: 138747594
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 2, 'group_order': 568, 'label': '71A10', 'order': 71, 'powers': [47, 50, 10, 1], 'representative': 80, 'size': 1}
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id: 138747605
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 2, 'group_order': 568, 'label': '71A-10', 'order': 71, 'powers': [48, 49, 9, 1], 'representative': 488, 'size': 1}
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id: 138747616
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 2, 'group_order': 568, 'label': '71A11', 'order': 71, 'powers': [51, 40, 19, 1], 'representative': 88, 'size': 1}
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id: 138747628
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 2, 'group_order': 568, 'label': '71A-11', 'order': 71, 'powers': [52, 39, 20, 1], 'representative': 480, 'size': 1}
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id: 138747639
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 2, 'group_order': 568, 'label': '71A12', 'order': 71, 'powers': [55, 30, 33, 1], 'representative': 96, 'size': 1}
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id: 138747650
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 2, 'group_order': 568, 'label': '71A-12', 'order': 71, 'powers': [56, 29, 34, 1], 'representative': 472, 'size': 1}
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id: 138747661
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 2, 'group_order': 568, 'label': '71A13', 'order': 71, 'powers': [59, 20, 47, 1], 'representative': 104, 'size': 1}
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id: 138747672
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 2, 'group_order': 568, 'label': '71A-13', 'order': 71, 'powers': [60, 19, 48, 1], 'representative': 464, 'size': 1}
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id: 138747683
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 2, 'group_order': 568, 'label': '71A14', 'order': 71, 'powers': [63, 10, 61, 1], 'representative': 112, 'size': 1}
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id: 138747694
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 2, 'group_order': 568, 'label': '71A-14', 'order': 71, 'powers': [64, 9, 62, 1], 'representative': 456, 'size': 1}
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id: 138747705
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 2, 'group_order': 568, 'label': '71A15', 'order': 71, 'powers': [67, 15, 75, 1], 'representative': 120, 'size': 1}
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id: 138747716
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 2, 'group_order': 568, 'label': '71A-15', 'order': 71, 'powers': [68, 16, 76, 1], 'representative': 448, 'size': 1}
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id: 138747727
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 2, 'group_order': 568, 'label': '71A16', 'order': 71, 'powers': [71, 25, 68, 1], 'representative': 128, 'size': 1}
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id: 138747739
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 2, 'group_order': 568, 'label': '71A-16', 'order': 71, 'powers': [72, 26, 67, 1], 'representative': 440, 'size': 1}
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id: 138747750
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 2, 'group_order': 568, 'label': '71A17', 'order': 71, 'powers': [75, 35, 54, 1], 'representative': 136, 'size': 1}
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id: 138747761
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 2, 'group_order': 568, 'label': '71A-17', 'order': 71, 'powers': [76, 36, 53, 1], 'representative': 432, 'size': 1}
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id: 138747772
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 2, 'group_order': 568, 'label': '71A18', 'order': 71, 'powers': [78, 45, 40, 1], 'representative': 144, 'size': 1}
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id: 138747783
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 2, 'group_order': 568, 'label': '71A-18', 'order': 71, 'powers': [77, 46, 39, 1], 'representative': 424, 'size': 1}
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id: 138747794
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 2, 'group_order': 568, 'label': '71A19', 'order': 71, 'powers': [74, 55, 26, 1], 'representative': 152, 'size': 1}
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id: 138747805
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 2, 'group_order': 568, 'label': '71A-19', 'order': 71, 'powers': [73, 56, 25, 1], 'representative': 416, 'size': 1}
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id: 138747816
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 2, 'group_order': 568, 'label': '71A20', 'order': 71, 'powers': [70, 65, 12, 1], 'representative': 160, 'size': 1}
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id: 138747827
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 2, 'group_order': 568, 'label': '71A-20', 'order': 71, 'powers': [69, 66, 11, 1], 'representative': 408, 'size': 1}
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id: 138747838
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 2, 'group_order': 568, 'label': '71A21', 'order': 71, 'powers': [66, 75, 17, 1], 'representative': 168, 'size': 1}
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id: 138747850
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 2, 'group_order': 568, 'label': '71A-21', 'order': 71, 'powers': [65, 76, 18, 1], 'representative': 400, 'size': 1}
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id: 138747861
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 2, 'group_order': 568, 'label': '71A22', 'order': 71, 'powers': [62, 72, 31, 1], 'representative': 176, 'size': 1}
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id: 138747872
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 2, 'group_order': 568, 'label': '71A-22', 'order': 71, 'powers': [61, 71, 32, 1], 'representative': 392, 'size': 1}
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id: 138747883
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 2, 'group_order': 568, 'label': '71A23', 'order': 71, 'powers': [58, 62, 45, 1], 'representative': 184, 'size': 1}
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id: 138747894
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 2, 'group_order': 568, 'label': '71A-23', 'order': 71, 'powers': [57, 61, 46, 1], 'representative': 384, 'size': 1}
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id: 138747905
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 2, 'group_order': 568, 'label': '71A24', 'order': 71, 'powers': [54, 52, 59, 1], 'representative': 192, 'size': 1}
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id: 138747916
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 2, 'group_order': 568, 'label': '71A-24', 'order': 71, 'powers': [53, 51, 60, 1], 'representative': 376, 'size': 1}
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id: 138747926
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 57, 'group_counter': 2, 'group_order': 568, 'label': '71A25', 'order': 71, 'powers': [50, 42, 73, 1], 'representative': 200, 'size': 1}
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id: 138747927
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 2, 'group_order': 568, 'label': '71A-25', 'order': 71, 'powers': [49, 41, 74, 1], 'representative': 368, 'size': 1}
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id: 138747928
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 59, 'group_counter': 2, 'group_order': 568, 'label': '71A26', 'order': 71, 'powers': [46, 32, 70, 1], 'representative': 208, 'size': 1}
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id: 138747930
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 60, 'group_counter': 2, 'group_order': 568, 'label': '71A-26', 'order': 71, 'powers': [45, 31, 69, 1], 'representative': 360, 'size': 1}
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id: 138747931
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 61, 'group_counter': 2, 'group_order': 568, 'label': '71A27', 'order': 71, 'powers': [42, 22, 56, 1], 'representative': 216, 'size': 1}
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id: 138747932
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 62, 'group_counter': 2, 'group_order': 568, 'label': '71A-27', 'order': 71, 'powers': [41, 21, 55, 1], 'representative': 352, 'size': 1}
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id: 138747933
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 63, 'group_counter': 2, 'group_order': 568, 'label': '71A28', 'order': 71, 'powers': [38, 12, 42, 1], 'representative': 224, 'size': 1}
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id: 138747934
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 64, 'group_counter': 2, 'group_order': 568, 'label': '71A-28', 'order': 71, 'powers': [37, 11, 41, 1], 'representative': 344, 'size': 1}
-
id: 138747935
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 65, 'group_counter': 2, 'group_order': 568, 'label': '71A29', 'order': 71, 'powers': [34, 13, 28, 1], 'representative': 232, 'size': 1}
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id: 138747936
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 66, 'group_counter': 2, 'group_order': 568, 'label': '71A-29', 'order': 71, 'powers': [33, 14, 27, 1], 'representative': 336, 'size': 1}
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id: 138747937
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 67, 'group_counter': 2, 'group_order': 568, 'label': '71A30', 'order': 71, 'powers': [30, 23, 14, 1], 'representative': 240, 'size': 1}
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id: 138747938
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 68, 'group_counter': 2, 'group_order': 568, 'label': '71A-30', 'order': 71, 'powers': [29, 24, 13, 1], 'representative': 328, 'size': 1}
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id: 138747939
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 69, 'group_counter': 2, 'group_order': 568, 'label': '71A31', 'order': 71, 'powers': [26, 33, 15, 1], 'representative': 248, 'size': 1}
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id: 138747941
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 70, 'group_counter': 2, 'group_order': 568, 'label': '71A-31', 'order': 71, 'powers': [25, 34, 16, 1], 'representative': 320, 'size': 1}
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id: 138747942
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 71, 'group_counter': 2, 'group_order': 568, 'label': '71A32', 'order': 71, 'powers': [22, 43, 29, 1], 'representative': 256, 'size': 1}
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id: 138747943
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 72, 'group_counter': 2, 'group_order': 568, 'label': '71A-32', 'order': 71, 'powers': [21, 44, 30, 1], 'representative': 312, 'size': 1}
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id: 138747944
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 73, 'group_counter': 2, 'group_order': 568, 'label': '71A33', 'order': 71, 'powers': [18, 53, 43, 1], 'representative': 264, 'size': 1}
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id: 138747945
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 74, 'group_counter': 2, 'group_order': 568, 'label': '71A-33', 'order': 71, 'powers': [17, 54, 44, 1], 'representative': 304, 'size': 1}
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id: 138747946
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 75, 'group_counter': 2, 'group_order': 568, 'label': '71A34', 'order': 71, 'powers': [14, 63, 57, 1], 'representative': 272, 'size': 1}
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id: 138747947
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 76, 'group_counter': 2, 'group_order': 568, 'label': '71A-34', 'order': 71, 'powers': [13, 64, 58, 1], 'representative': 296, 'size': 1}
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id: 138747948
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 77, 'group_counter': 2, 'group_order': 568, 'label': '71A35', 'order': 71, 'powers': [10, 73, 71, 1], 'representative': 280, 'size': 1}
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id: 138747949
{'aut_label': '71A1', 'centralizer': '1.a1.a1', 'counter': 78, 'group_counter': 2, 'group_order': 568, 'label': '71A-35', 'order': 71, 'powers': [9, 74, 72, 1], 'representative': 288, 'size': 1}
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id: 138747950
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 79, 'group_counter': 2, 'group_order': 568, 'label': '142A1', 'order': 142, 'powers': [9, 83, 85, 2], 'representative': 4, 'size': 1}
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id: 138747952
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 80, 'group_counter': 2, 'group_order': 568, 'label': '142A-1', 'order': 142, 'powers': [10, 84, 86, 2], 'representative': 564, 'size': 1}
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id: 138747953
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 81, 'group_counter': 2, 'group_order': 568, 'label': '142A3', 'order': 142, 'powers': [13, 93, 99, 2], 'representative': 12, 'size': 1}
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id: 138747954
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 82, 'group_counter': 2, 'group_order': 568, 'label': '142A-3', 'order': 142, 'powers': [14, 94, 100, 2], 'representative': 556, 'size': 1}
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id: 138747955
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 83, 'group_counter': 2, 'group_order': 568, 'label': '142A5', 'order': 142, 'powers': [17, 103, 113, 2], 'representative': 20, 'size': 1}
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id: 138747956
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 84, 'group_counter': 2, 'group_order': 568, 'label': '142A-5', 'order': 142, 'powers': [18, 104, 114, 2], 'representative': 548, 'size': 1}
-
id: 138747957
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 85, 'group_counter': 2, 'group_order': 568, 'label': '142A7', 'order': 142, 'powers': [21, 113, 127, 2], 'representative': 28, 'size': 1}
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id: 138747958
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 86, 'group_counter': 2, 'group_order': 568, 'label': '142A-7', 'order': 142, 'powers': [22, 114, 128, 2], 'representative': 540, 'size': 1}
-
id: 138747959
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 87, 'group_counter': 2, 'group_order': 568, 'label': '142A9', 'order': 142, 'powers': [25, 123, 141, 2], 'representative': 36, 'size': 1}
-
id: 138747960
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 88, 'group_counter': 2, 'group_order': 568, 'label': '142A-9', 'order': 142, 'powers': [26, 124, 142, 2], 'representative': 532, 'size': 1}
-
id: 138747961
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 89, 'group_counter': 2, 'group_order': 568, 'label': '142A11', 'order': 142, 'powers': [29, 133, 144, 2], 'representative': 44, 'size': 1}
-
id: 138747963
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 90, 'group_counter': 2, 'group_order': 568, 'label': '142A-11', 'order': 142, 'powers': [30, 134, 143, 2], 'representative': 524, 'size': 1}
-
id: 138747964
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 91, 'group_counter': 2, 'group_order': 568, 'label': '142A13', 'order': 142, 'powers': [33, 143, 130, 2], 'representative': 52, 'size': 1}
-
id: 138747965
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 92, 'group_counter': 2, 'group_order': 568, 'label': '142A-13', 'order': 142, 'powers': [34, 144, 129, 2], 'representative': 516, 'size': 1}
-
id: 138747966
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 93, 'group_counter': 2, 'group_order': 568, 'label': '142A15', 'order': 142, 'powers': [37, 146, 116, 2], 'representative': 60, 'size': 1}
-
id: 138747967
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 94, 'group_counter': 2, 'group_order': 568, 'label': '142A-15', 'order': 142, 'powers': [38, 145, 115, 2], 'representative': 508, 'size': 1}
-
id: 138747968
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 95, 'group_counter': 2, 'group_order': 568, 'label': '142A17', 'order': 142, 'powers': [41, 136, 102, 2], 'representative': 68, 'size': 1}
-
id: 138747969
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 96, 'group_counter': 2, 'group_order': 568, 'label': '142A-17', 'order': 142, 'powers': [42, 135, 101, 2], 'representative': 500, 'size': 1}
-
id: 138747970
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 97, 'group_counter': 2, 'group_order': 568, 'label': '142A19', 'order': 142, 'powers': [45, 126, 88, 2], 'representative': 76, 'size': 1}
-
id: 138747971
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 98, 'group_counter': 2, 'group_order': 568, 'label': '142A-19', 'order': 142, 'powers': [46, 125, 87, 2], 'representative': 492, 'size': 1}
-
id: 138747972
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 99, 'group_counter': 2, 'group_order': 568, 'label': '142A21', 'order': 142, 'powers': [49, 116, 83, 2], 'representative': 84, 'size': 1}
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id: 138747407
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 100, 'group_counter': 2, 'group_order': 568, 'label': '142A-21', 'order': 142, 'powers': [50, 115, 84, 2], 'representative': 484, 'size': 1}
-
id: 138747408
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 101, 'group_counter': 2, 'group_order': 568, 'label': '142A23', 'order': 142, 'powers': [53, 106, 97, 2], 'representative': 92, 'size': 1}
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id: 138747409
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 102, 'group_counter': 2, 'group_order': 568, 'label': '142A-23', 'order': 142, 'powers': [54, 105, 98, 2], 'representative': 476, 'size': 1}
-
id: 138747410
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 103, 'group_counter': 2, 'group_order': 568, 'label': '142A25', 'order': 142, 'powers': [57, 96, 111, 2], 'representative': 100, 'size': 1}
-
id: 138747411
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 104, 'group_counter': 2, 'group_order': 568, 'label': '142A-25', 'order': 142, 'powers': [58, 95, 112, 2], 'representative': 468, 'size': 1}
-
id: 138747412
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 105, 'group_counter': 2, 'group_order': 568, 'label': '142A27', 'order': 142, 'powers': [61, 86, 125, 2], 'representative': 108, 'size': 1}
-
id: 138747413
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 106, 'group_counter': 2, 'group_order': 568, 'label': '142A-27', 'order': 142, 'powers': [62, 85, 126, 2], 'representative': 460, 'size': 1}
-
id: 138747414
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 107, 'group_counter': 2, 'group_order': 568, 'label': '142A29', 'order': 142, 'powers': [65, 81, 139, 2], 'representative': 116, 'size': 1}
-
id: 138747415
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 108, 'group_counter': 2, 'group_order': 568, 'label': '142A-29', 'order': 142, 'powers': [66, 82, 140, 2], 'representative': 452, 'size': 1}
-
id: 138747416
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 109, 'group_counter': 2, 'group_order': 568, 'label': '142A31', 'order': 142, 'powers': [69, 91, 146, 2], 'representative': 124, 'size': 1}
-
id: 138747418
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 110, 'group_counter': 2, 'group_order': 568, 'label': '142A-31', 'order': 142, 'powers': [70, 92, 145, 2], 'representative': 444, 'size': 1}
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id: 138747419
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 111, 'group_counter': 2, 'group_order': 568, 'label': '142A33', 'order': 142, 'powers': [73, 101, 132, 2], 'representative': 132, 'size': 1}
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id: 138747420
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 112, 'group_counter': 2, 'group_order': 568, 'label': '142A-33', 'order': 142, 'powers': [74, 102, 131, 2], 'representative': 436, 'size': 1}
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id: 138747421
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 113, 'group_counter': 2, 'group_order': 568, 'label': '142A35', 'order': 142, 'powers': [77, 111, 118, 2], 'representative': 140, 'size': 1}
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id: 138747422
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 114, 'group_counter': 2, 'group_order': 568, 'label': '142A-35', 'order': 142, 'powers': [78, 112, 117, 2], 'representative': 428, 'size': 1}
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id: 138747423
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 115, 'group_counter': 2, 'group_order': 568, 'label': '142A37', 'order': 142, 'powers': [76, 121, 104, 2], 'representative': 148, 'size': 1}
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id: 138747424
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 116, 'group_counter': 2, 'group_order': 568, 'label': '142A-37', 'order': 142, 'powers': [75, 122, 103, 2], 'representative': 420, 'size': 1}
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id: 138747425
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 117, 'group_counter': 2, 'group_order': 568, 'label': '142A39', 'order': 142, 'powers': [72, 131, 90, 2], 'representative': 156, 'size': 1}
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id: 138747426
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 118, 'group_counter': 2, 'group_order': 568, 'label': '142A-39', 'order': 142, 'powers': [71, 132, 89, 2], 'representative': 412, 'size': 1}
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id: 138747427
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 119, 'group_counter': 2, 'group_order': 568, 'label': '142A41', 'order': 142, 'powers': [68, 141, 81, 2], 'representative': 164, 'size': 1}
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id: 138747429
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 120, 'group_counter': 2, 'group_order': 568, 'label': '142A-41', 'order': 142, 'powers': [67, 142, 82, 2], 'representative': 404, 'size': 1}
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id: 138747430
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 121, 'group_counter': 2, 'group_order': 568, 'label': '142A43', 'order': 142, 'powers': [64, 148, 95, 2], 'representative': 172, 'size': 1}
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id: 138747431
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 122, 'group_counter': 2, 'group_order': 568, 'label': '142A-43', 'order': 142, 'powers': [63, 147, 96, 2], 'representative': 396, 'size': 1}
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id: 138747432
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 123, 'group_counter': 2, 'group_order': 568, 'label': '142A45', 'order': 142, 'powers': [60, 138, 109, 2], 'representative': 180, 'size': 1}
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id: 138747433
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 124, 'group_counter': 2, 'group_order': 568, 'label': '142A-45', 'order': 142, 'powers': [59, 137, 110, 2], 'representative': 388, 'size': 1}
-
id: 138747434
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 125, 'group_counter': 2, 'group_order': 568, 'label': '142A47', 'order': 142, 'powers': [56, 128, 123, 2], 'representative': 188, 'size': 1}
-
id: 138747435
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 126, 'group_counter': 2, 'group_order': 568, 'label': '142A-47', 'order': 142, 'powers': [55, 127, 124, 2], 'representative': 380, 'size': 1}
-
id: 138747436
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 127, 'group_counter': 2, 'group_order': 568, 'label': '142A49', 'order': 142, 'powers': [52, 118, 137, 2], 'representative': 196, 'size': 1}
-
id: 138747437
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 128, 'group_counter': 2, 'group_order': 568, 'label': '142A-49', 'order': 142, 'powers': [51, 117, 138, 2], 'representative': 372, 'size': 1}
-
id: 138747438
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 129, 'group_counter': 2, 'group_order': 568, 'label': '142A51', 'order': 142, 'powers': [48, 108, 148, 2], 'representative': 204, 'size': 1}
-
id: 138747440
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 130, 'group_counter': 2, 'group_order': 568, 'label': '142A-51', 'order': 142, 'powers': [47, 107, 147, 2], 'representative': 364, 'size': 1}
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id: 138747441
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 131, 'group_counter': 2, 'group_order': 568, 'label': '142A53', 'order': 142, 'powers': [44, 98, 134, 2], 'representative': 212, 'size': 1}
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id: 138747442
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 132, 'group_counter': 2, 'group_order': 568, 'label': '142A-53', 'order': 142, 'powers': [43, 97, 133, 2], 'representative': 356, 'size': 1}
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id: 138747443
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 133, 'group_counter': 2, 'group_order': 568, 'label': '142A55', 'order': 142, 'powers': [40, 88, 120, 2], 'representative': 220, 'size': 1}
-
id: 138747444
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 134, 'group_counter': 2, 'group_order': 568, 'label': '142A-55', 'order': 142, 'powers': [39, 87, 119, 2], 'representative': 348, 'size': 1}
-
id: 138747445
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 135, 'group_counter': 2, 'group_order': 568, 'label': '142A57', 'order': 142, 'powers': [36, 79, 106, 2], 'representative': 228, 'size': 1}
-
id: 138747446
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 136, 'group_counter': 2, 'group_order': 568, 'label': '142A-57', 'order': 142, 'powers': [35, 80, 105, 2], 'representative': 340, 'size': 1}
-
id: 138747447
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 137, 'group_counter': 2, 'group_order': 568, 'label': '142A59', 'order': 142, 'powers': [32, 89, 92, 2], 'representative': 236, 'size': 1}
-
id: 138747448
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 138, 'group_counter': 2, 'group_order': 568, 'label': '142A-59', 'order': 142, 'powers': [31, 90, 91, 2], 'representative': 332, 'size': 1}
-
id: 138747449
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 139, 'group_counter': 2, 'group_order': 568, 'label': '142A61', 'order': 142, 'powers': [28, 99, 79, 2], 'representative': 244, 'size': 1}
-
id: 138747451
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 140, 'group_counter': 2, 'group_order': 568, 'label': '142A-61', 'order': 142, 'powers': [27, 100, 80, 2], 'representative': 324, 'size': 1}
-
id: 138747452
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 141, 'group_counter': 2, 'group_order': 568, 'label': '142A63', 'order': 142, 'powers': [24, 109, 93, 2], 'representative': 252, 'size': 1}
-
id: 138747453
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 142, 'group_counter': 2, 'group_order': 568, 'label': '142A-63', 'order': 142, 'powers': [23, 110, 94, 2], 'representative': 316, 'size': 1}
-
id: 138747454
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 143, 'group_counter': 2, 'group_order': 568, 'label': '142A65', 'order': 142, 'powers': [20, 119, 107, 2], 'representative': 260, 'size': 1}
-
id: 138747455
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 144, 'group_counter': 2, 'group_order': 568, 'label': '142A-65', 'order': 142, 'powers': [19, 120, 108, 2], 'representative': 308, 'size': 1}
-
id: 138747456
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 145, 'group_counter': 2, 'group_order': 568, 'label': '142A67', 'order': 142, 'powers': [16, 129, 121, 2], 'representative': 268, 'size': 1}
-
id: 138747457
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 146, 'group_counter': 2, 'group_order': 568, 'label': '142A-67', 'order': 142, 'powers': [15, 130, 122, 2], 'representative': 300, 'size': 1}
-
id: 138747458
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 147, 'group_counter': 2, 'group_order': 568, 'label': '142A69', 'order': 142, 'powers': [12, 139, 135, 2], 'representative': 276, 'size': 1}
-
id: 138747459
{'aut_label': '142A1', 'centralizer': '1.a1.a1', 'counter': 148, 'group_counter': 2, 'group_order': 568, 'label': '142A-69', 'order': 142, 'powers': [11, 140, 136, 2], 'representative': 292, 'size': 1}
-
id: 138747460
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 149, 'group_counter': 2, 'group_order': 568, 'label': '284A1', 'order': 284, 'powers': [79, 153, 155, 3], 'representative': 2, 'size': 1}
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id: 138747462
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 150, 'group_counter': 2, 'group_order': 568, 'label': '284A-1', 'order': 284, 'powers': [80, 154, 156, 4], 'representative': 566, 'size': 1}
-
id: 138747463
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 151, 'group_counter': 2, 'group_order': 568, 'label': '284A3', 'order': 284, 'powers': [81, 163, 169, 4], 'representative': 6, 'size': 1}
-
id: 138747464
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 152, 'group_counter': 2, 'group_order': 568, 'label': '284A-3', 'order': 284, 'powers': [82, 164, 170, 3], 'representative': 562, 'size': 1}
-
id: 138747465
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 153, 'group_counter': 2, 'group_order': 568, 'label': '284A5', 'order': 284, 'powers': [83, 173, 183, 3], 'representative': 10, 'size': 1}
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id: 138747466
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id: 138747467
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 155, 'group_counter': 2, 'group_order': 568, 'label': '284A7', 'order': 284, 'powers': [85, 183, 197, 4], 'representative': 14, 'size': 1}
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id: 138747468
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 156, 'group_counter': 2, 'group_order': 568, 'label': '284A-7', 'order': 284, 'powers': [86, 184, 198, 3], 'representative': 554, 'size': 1}
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id: 138747469
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 157, 'group_counter': 2, 'group_order': 568, 'label': '284A9', 'order': 284, 'powers': [87, 193, 211, 3], 'representative': 18, 'size': 1}
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id: 138747470
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 158, 'group_counter': 2, 'group_order': 568, 'label': '284A-9', 'order': 284, 'powers': [88, 194, 212, 4], 'representative': 550, 'size': 1}
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id: 138747471
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 159, 'group_counter': 2, 'group_order': 568, 'label': '284A11', 'order': 284, 'powers': [89, 203, 223, 4], 'representative': 22, 'size': 1}
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id: 138747473
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 160, 'group_counter': 2, 'group_order': 568, 'label': '284A-11', 'order': 284, 'powers': [90, 204, 224, 3], 'representative': 546, 'size': 1}
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id: 138747474
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 161, 'group_counter': 2, 'group_order': 568, 'label': '284A13', 'order': 284, 'powers': [91, 213, 237, 3], 'representative': 26, 'size': 1}
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id: 138747475
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 162, 'group_counter': 2, 'group_order': 568, 'label': '284A-13', 'order': 284, 'powers': [92, 214, 238, 4], 'representative': 542, 'size': 1}
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id: 138747476
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 163, 'group_counter': 2, 'group_order': 568, 'label': '284A15', 'order': 284, 'powers': [93, 221, 251, 4], 'representative': 30, 'size': 1}
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id: 138747477
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 164, 'group_counter': 2, 'group_order': 568, 'label': '284A-15', 'order': 284, 'powers': [94, 222, 252, 3], 'representative': 538, 'size': 1}
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id: 138747478
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 165, 'group_counter': 2, 'group_order': 568, 'label': '284A17', 'order': 284, 'powers': [95, 231, 265, 3], 'representative': 34, 'size': 1}
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id: 138747479
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 166, 'group_counter': 2, 'group_order': 568, 'label': '284A-17', 'order': 284, 'powers': [96, 232, 266, 4], 'representative': 534, 'size': 1}
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id: 138747480
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 167, 'group_counter': 2, 'group_order': 568, 'label': '284A19', 'order': 284, 'powers': [97, 241, 279, 4], 'representative': 38, 'size': 1}
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id: 138747481
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 168, 'group_counter': 2, 'group_order': 568, 'label': '284A-19', 'order': 284, 'powers': [98, 242, 280, 3], 'representative': 530, 'size': 1}
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id: 138747482
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 169, 'group_counter': 2, 'group_order': 568, 'label': '284A21', 'order': 284, 'powers': [99, 251, 284, 3], 'representative': 42, 'size': 1}
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id: 138747484
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 170, 'group_counter': 2, 'group_order': 568, 'label': '284A-21', 'order': 284, 'powers': [100, 252, 283, 4], 'representative': 526, 'size': 1}
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id: 138747485
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 171, 'group_counter': 2, 'group_order': 568, 'label': '284A23', 'order': 284, 'powers': [101, 261, 270, 4], 'representative': 46, 'size': 1}
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id: 138747486
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 172, 'group_counter': 2, 'group_order': 568, 'label': '284A-23', 'order': 284, 'powers': [102, 262, 269, 3], 'representative': 522, 'size': 1}
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id: 138747487
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 173, 'group_counter': 2, 'group_order': 568, 'label': '284A25', 'order': 284, 'powers': [103, 271, 256, 3], 'representative': 50, 'size': 1}
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id: 138747488
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 174, 'group_counter': 2, 'group_order': 568, 'label': '284A-25', 'order': 284, 'powers': [104, 272, 255, 4], 'representative': 518, 'size': 1}
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id: 138747489
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 175, 'group_counter': 2, 'group_order': 568, 'label': '284A27', 'order': 284, 'powers': [105, 281, 242, 4], 'representative': 54, 'size': 1}
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id: 138747490
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 176, 'group_counter': 2, 'group_order': 568, 'label': '284A-27', 'order': 284, 'powers': [106, 282, 241, 3], 'representative': 514, 'size': 1}
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id: 138747491
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 177, 'group_counter': 2, 'group_order': 568, 'label': '284A29', 'order': 284, 'powers': [107, 286, 228, 3], 'representative': 58, 'size': 1}
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id: 138747492
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 178, 'group_counter': 2, 'group_order': 568, 'label': '284A-29', 'order': 284, 'powers': [108, 285, 227, 4], 'representative': 510, 'size': 1}
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id: 138747493
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 179, 'group_counter': 2, 'group_order': 568, 'label': '284A31', 'order': 284, 'powers': [109, 276, 216, 4], 'representative': 62, 'size': 1}
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id: 138747495
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 180, 'group_counter': 2, 'group_order': 568, 'label': '284A-31', 'order': 284, 'powers': [110, 275, 215, 3], 'representative': 506, 'size': 1}
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id: 138747496
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 181, 'group_counter': 2, 'group_order': 568, 'label': '284A33', 'order': 284, 'powers': [111, 266, 202, 3], 'representative': 66, 'size': 1}
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id: 138747497
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 182, 'group_counter': 2, 'group_order': 568, 'label': '284A-33', 'order': 284, 'powers': [112, 265, 201, 4], 'representative': 502, 'size': 1}
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id: 138747498
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 183, 'group_counter': 2, 'group_order': 568, 'label': '284A35', 'order': 284, 'powers': [113, 256, 188, 4], 'representative': 70, 'size': 1}
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id: 138747499
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 184, 'group_counter': 2, 'group_order': 568, 'label': '284A-35', 'order': 284, 'powers': [114, 255, 187, 3], 'representative': 498, 'size': 1}
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id: 138747500
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 185, 'group_counter': 2, 'group_order': 568, 'label': '284A37', 'order': 284, 'powers': [115, 246, 174, 3], 'representative': 74, 'size': 1}
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id: 138747501
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 186, 'group_counter': 2, 'group_order': 568, 'label': '284A-37', 'order': 284, 'powers': [116, 245, 173, 4], 'representative': 494, 'size': 1}
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id: 138747502
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 187, 'group_counter': 2, 'group_order': 568, 'label': '284A39', 'order': 284, 'powers': [117, 236, 160, 4], 'representative': 78, 'size': 1}
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id: 138747503
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 188, 'group_counter': 2, 'group_order': 568, 'label': '284A-39', 'order': 284, 'powers': [118, 235, 159, 3], 'representative': 490, 'size': 1}
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id: 138747504
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 189, 'group_counter': 2, 'group_order': 568, 'label': '284A41', 'order': 284, 'powers': [119, 226, 151, 3], 'representative': 82, 'size': 1}
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id: 138747506
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 190, 'group_counter': 2, 'group_order': 568, 'label': '284A-41', 'order': 284, 'powers': [120, 225, 152, 4], 'representative': 486, 'size': 1}
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id: 138747507
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 191, 'group_counter': 2, 'group_order': 568, 'label': '284A43', 'order': 284, 'powers': [121, 218, 165, 4], 'representative': 86, 'size': 1}
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id: 138747508
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 192, 'group_counter': 2, 'group_order': 568, 'label': '284A-43', 'order': 284, 'powers': [122, 217, 166, 3], 'representative': 482, 'size': 1}
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id: 138747509
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 193, 'group_counter': 2, 'group_order': 568, 'label': '284A45', 'order': 284, 'powers': [123, 208, 179, 3], 'representative': 90, 'size': 1}
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id: 138747510
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 194, 'group_counter': 2, 'group_order': 568, 'label': '284A-45', 'order': 284, 'powers': [124, 207, 180, 4], 'representative': 478, 'size': 1}
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id: 138747511
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 195, 'group_counter': 2, 'group_order': 568, 'label': '284A47', 'order': 284, 'powers': [125, 198, 193, 4], 'representative': 94, 'size': 1}
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id: 138747512
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 196, 'group_counter': 2, 'group_order': 568, 'label': '284A-47', 'order': 284, 'powers': [126, 197, 194, 3], 'representative': 474, 'size': 1}
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id: 138747513
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 197, 'group_counter': 2, 'group_order': 568, 'label': '284A49', 'order': 284, 'powers': [127, 188, 207, 3], 'representative': 98, 'size': 1}
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id: 138747514
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 198, 'group_counter': 2, 'group_order': 568, 'label': '284A-49', 'order': 284, 'powers': [128, 187, 208, 4], 'representative': 470, 'size': 1}
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id: 138747515
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 199, 'group_counter': 2, 'group_order': 568, 'label': '284A51', 'order': 284, 'powers': [129, 178, 219, 4], 'representative': 102, 'size': 1}
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id: 138747518
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 200, 'group_counter': 2, 'group_order': 568, 'label': '284A-51', 'order': 284, 'powers': [130, 177, 220, 3], 'representative': 466, 'size': 1}
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id: 138747519
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 201, 'group_counter': 2, 'group_order': 568, 'label': '284A53', 'order': 284, 'powers': [131, 168, 233, 3], 'representative': 106, 'size': 1}
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id: 138747520
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 202, 'group_counter': 2, 'group_order': 568, 'label': '284A-53', 'order': 284, 'powers': [132, 167, 234, 4], 'representative': 462, 'size': 1}
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id: 138747521
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 203, 'group_counter': 2, 'group_order': 568, 'label': '284A55', 'order': 284, 'powers': [133, 158, 247, 4], 'representative': 110, 'size': 1}
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id: 138747522
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 204, 'group_counter': 2, 'group_order': 568, 'label': '284A-55', 'order': 284, 'powers': [134, 157, 248, 3], 'representative': 458, 'size': 1}
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id: 138747523
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 205, 'group_counter': 2, 'group_order': 568, 'label': '284A57', 'order': 284, 'powers': [135, 149, 261, 3], 'representative': 114, 'size': 1}
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id: 138747524
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 206, 'group_counter': 2, 'group_order': 568, 'label': '284A-57', 'order': 284, 'powers': [136, 150, 262, 4], 'representative': 454, 'size': 1}
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id: 138747525
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 207, 'group_counter': 2, 'group_order': 568, 'label': '284A59', 'order': 284, 'powers': [137, 159, 275, 4], 'representative': 118, 'size': 1}
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id: 138747526
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 208, 'group_counter': 2, 'group_order': 568, 'label': '284A-59', 'order': 284, 'powers': [138, 160, 276, 3], 'representative': 450, 'size': 1}
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id: 138747527
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 209, 'group_counter': 2, 'group_order': 568, 'label': '284A61', 'order': 284, 'powers': [139, 169, 288, 3], 'representative': 122, 'size': 1}
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id: 138747529
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 210, 'group_counter': 2, 'group_order': 568, 'label': '284A-61', 'order': 284, 'powers': [140, 170, 287, 4], 'representative': 446, 'size': 1}
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id: 138747530
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 211, 'group_counter': 2, 'group_order': 568, 'label': '284A63', 'order': 284, 'powers': [141, 179, 274, 4], 'representative': 126, 'size': 1}
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id: 138747531
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 212, 'group_counter': 2, 'group_order': 568, 'label': '284A-63', 'order': 284, 'powers': [142, 180, 273, 3], 'representative': 442, 'size': 1}
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id: 138747532
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 213, 'group_counter': 2, 'group_order': 568, 'label': '284A65', 'order': 284, 'powers': [143, 189, 260, 3], 'representative': 130, 'size': 1}
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id: 138747533
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 214, 'group_counter': 2, 'group_order': 568, 'label': '284A-65', 'order': 284, 'powers': [144, 190, 259, 4], 'representative': 438, 'size': 1}
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id: 138747534
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 215, 'group_counter': 2, 'group_order': 568, 'label': '284A67', 'order': 284, 'powers': [145, 199, 246, 4], 'representative': 134, 'size': 1}
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id: 138747535
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 216, 'group_counter': 2, 'group_order': 568, 'label': '284A-67', 'order': 284, 'powers': [146, 200, 245, 3], 'representative': 434, 'size': 1}
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id: 138747536
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 217, 'group_counter': 2, 'group_order': 568, 'label': '284A69', 'order': 284, 'powers': [147, 209, 232, 3], 'representative': 138, 'size': 1}
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id: 138747537
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 218, 'group_counter': 2, 'group_order': 568, 'label': '284A-69', 'order': 284, 'powers': [148, 210, 231, 4], 'representative': 430, 'size': 1}
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id: 138747538
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 219, 'group_counter': 2, 'group_order': 568, 'label': '284A73', 'order': 284, 'powers': [148, 227, 206, 3], 'representative': 146, 'size': 1}
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id: 138747540
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 220, 'group_counter': 2, 'group_order': 568, 'label': '284A-73', 'order': 284, 'powers': [147, 228, 205, 4], 'representative': 422, 'size': 1}
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id: 138747541
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 221, 'group_counter': 2, 'group_order': 568, 'label': '284A75', 'order': 284, 'powers': [146, 237, 192, 4], 'representative': 150, 'size': 1}
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id: 138747542
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 222, 'group_counter': 2, 'group_order': 568, 'label': '284A-75', 'order': 284, 'powers': [145, 238, 191, 3], 'representative': 418, 'size': 1}
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id: 138747543
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 223, 'group_counter': 2, 'group_order': 568, 'label': '284A77', 'order': 284, 'powers': [144, 247, 178, 3], 'representative': 154, 'size': 1}
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id: 138747544
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 224, 'group_counter': 2, 'group_order': 568, 'label': '284A-77', 'order': 284, 'powers': [143, 248, 177, 4], 'representative': 414, 'size': 1}
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id: 138747545
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 225, 'group_counter': 2, 'group_order': 568, 'label': '284A79', 'order': 284, 'powers': [142, 257, 164, 4], 'representative': 158, 'size': 1}
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id: 138747546
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 226, 'group_counter': 2, 'group_order': 568, 'label': '284A-79', 'order': 284, 'powers': [141, 258, 163, 3], 'representative': 410, 'size': 1}
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id: 138747547
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 227, 'group_counter': 2, 'group_order': 568, 'label': '284A81', 'order': 284, 'powers': [140, 267, 150, 3], 'representative': 162, 'size': 1}
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id: 138747548
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 228, 'group_counter': 2, 'group_order': 568, 'label': '284A-81', 'order': 284, 'powers': [139, 268, 149, 4], 'representative': 406, 'size': 1}
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id: 138747549
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 229, 'group_counter': 2, 'group_order': 568, 'label': '284A83', 'order': 284, 'powers': [138, 277, 161, 4], 'representative': 166, 'size': 1}
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id: 138747551
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 230, 'group_counter': 2, 'group_order': 568, 'label': '284A-83', 'order': 284, 'powers': [137, 278, 162, 3], 'representative': 402, 'size': 1}
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id: 138747552
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 231, 'group_counter': 2, 'group_order': 568, 'label': '284A85', 'order': 284, 'powers': [136, 287, 175, 3], 'representative': 170, 'size': 1}
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id: 138747553
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 232, 'group_counter': 2, 'group_order': 568, 'label': '284A-85', 'order': 284, 'powers': [135, 288, 176, 4], 'representative': 398, 'size': 1}
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id: 138747554
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 233, 'group_counter': 2, 'group_order': 568, 'label': '284A87', 'order': 284, 'powers': [134, 280, 189, 4], 'representative': 174, 'size': 1}
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id: 138747555
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 234, 'group_counter': 2, 'group_order': 568, 'label': '284A-87', 'order': 284, 'powers': [133, 279, 190, 3], 'representative': 394, 'size': 1}
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id: 138747556
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 235, 'group_counter': 2, 'group_order': 568, 'label': '284A89', 'order': 284, 'powers': [132, 270, 203, 3], 'representative': 178, 'size': 1}
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id: 138747557
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 236, 'group_counter': 2, 'group_order': 568, 'label': '284A-89', 'order': 284, 'powers': [131, 269, 204, 4], 'representative': 390, 'size': 1}
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id: 138747558
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 237, 'group_counter': 2, 'group_order': 568, 'label': '284A91', 'order': 284, 'powers': [130, 260, 217, 4], 'representative': 182, 'size': 1}
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id: 138747559
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 238, 'group_counter': 2, 'group_order': 568, 'label': '284A-91', 'order': 284, 'powers': [129, 259, 218, 3], 'representative': 386, 'size': 1}
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id: 138747560
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 239, 'group_counter': 2, 'group_order': 568, 'label': '284A93', 'order': 284, 'powers': [128, 250, 229, 3], 'representative': 186, 'size': 1}
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id: 138747562
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 240, 'group_counter': 2, 'group_order': 568, 'label': '284A-93', 'order': 284, 'powers': [127, 249, 230, 4], 'representative': 382, 'size': 1}
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id: 138747563
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 241, 'group_counter': 2, 'group_order': 568, 'label': '284A95', 'order': 284, 'powers': [126, 240, 243, 4], 'representative': 190, 'size': 1}
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id: 138747564
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 242, 'group_counter': 2, 'group_order': 568, 'label': '284A-95', 'order': 284, 'powers': [125, 239, 244, 3], 'representative': 378, 'size': 1}
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id: 138747565
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 243, 'group_counter': 2, 'group_order': 568, 'label': '284A97', 'order': 284, 'powers': [124, 230, 257, 3], 'representative': 194, 'size': 1}
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id: 138747566
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 244, 'group_counter': 2, 'group_order': 568, 'label': '284A-97', 'order': 284, 'powers': [123, 229, 258, 4], 'representative': 374, 'size': 1}
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id: 138747567
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 245, 'group_counter': 2, 'group_order': 568, 'label': '284A99', 'order': 284, 'powers': [122, 220, 271, 4], 'representative': 198, 'size': 1}
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id: 138747568
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 246, 'group_counter': 2, 'group_order': 568, 'label': '284A-99', 'order': 284, 'powers': [121, 219, 272, 3], 'representative': 370, 'size': 1}
-
id: 138747569
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 247, 'group_counter': 2, 'group_order': 568, 'label': '284A101', 'order': 284, 'powers': [120, 212, 285, 3], 'representative': 202, 'size': 1}
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id: 138747570
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 248, 'group_counter': 2, 'group_order': 568, 'label': '284A-101', 'order': 284, 'powers': [119, 211, 286, 4], 'representative': 366, 'size': 1}
-
id: 138747571
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 249, 'group_counter': 2, 'group_order': 568, 'label': '284A103', 'order': 284, 'powers': [118, 202, 278, 4], 'representative': 206, 'size': 1}
-
id: 138747573
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 250, 'group_counter': 2, 'group_order': 568, 'label': '284A-103', 'order': 284, 'powers': [117, 201, 277, 3], 'representative': 362, 'size': 1}
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id: 138747574
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 251, 'group_counter': 2, 'group_order': 568, 'label': '284A105', 'order': 284, 'powers': [116, 192, 264, 3], 'representative': 210, 'size': 1}
-
id: 138747575
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 252, 'group_counter': 2, 'group_order': 568, 'label': '284A-105', 'order': 284, 'powers': [115, 191, 263, 4], 'representative': 358, 'size': 1}
-
id: 138747576
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 253, 'group_counter': 2, 'group_order': 568, 'label': '284A107', 'order': 284, 'powers': [114, 182, 250, 4], 'representative': 214, 'size': 1}
-
id: 138747577
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 254, 'group_counter': 2, 'group_order': 568, 'label': '284A-107', 'order': 284, 'powers': [113, 181, 249, 3], 'representative': 354, 'size': 1}
-
id: 138747578
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 255, 'group_counter': 2, 'group_order': 568, 'label': '284A109', 'order': 284, 'powers': [112, 172, 236, 3], 'representative': 218, 'size': 1}
-
id: 138747579
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 256, 'group_counter': 2, 'group_order': 568, 'label': '284A-109', 'order': 284, 'powers': [111, 171, 235, 4], 'representative': 350, 'size': 1}
-
id: 138747580
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 257, 'group_counter': 2, 'group_order': 568, 'label': '284A111', 'order': 284, 'powers': [110, 162, 222, 4], 'representative': 222, 'size': 1}
-
id: 138747581
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 258, 'group_counter': 2, 'group_order': 568, 'label': '284A-111', 'order': 284, 'powers': [109, 161, 221, 3], 'representative': 346, 'size': 1}
-
id: 138747582
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 259, 'group_counter': 2, 'group_order': 568, 'label': '284A113', 'order': 284, 'powers': [108, 152, 210, 3], 'representative': 226, 'size': 1}
-
id: 138747584
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 260, 'group_counter': 2, 'group_order': 568, 'label': '284A-113', 'order': 284, 'powers': [107, 151, 209, 4], 'representative': 342, 'size': 1}
-
id: 138747585
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 261, 'group_counter': 2, 'group_order': 568, 'label': '284A115', 'order': 284, 'powers': [106, 155, 196, 4], 'representative': 230, 'size': 1}
-
id: 138747586
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 262, 'group_counter': 2, 'group_order': 568, 'label': '284A-115', 'order': 284, 'powers': [105, 156, 195, 3], 'representative': 338, 'size': 1}
-
id: 138747587
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 263, 'group_counter': 2, 'group_order': 568, 'label': '284A117', 'order': 284, 'powers': [104, 165, 182, 3], 'representative': 234, 'size': 1}
-
id: 138747588
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 264, 'group_counter': 2, 'group_order': 568, 'label': '284A-117', 'order': 284, 'powers': [103, 166, 181, 4], 'representative': 334, 'size': 1}
-
id: 138747589
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 265, 'group_counter': 2, 'group_order': 568, 'label': '284A119', 'order': 284, 'powers': [102, 175, 168, 4], 'representative': 238, 'size': 1}
-
id: 138747590
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 266, 'group_counter': 2, 'group_order': 568, 'label': '284A-119', 'order': 284, 'powers': [101, 176, 167, 3], 'representative': 330, 'size': 1}
-
id: 138747591
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 267, 'group_counter': 2, 'group_order': 568, 'label': '284A121', 'order': 284, 'powers': [100, 185, 154, 3], 'representative': 242, 'size': 1}
-
id: 138747592
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 268, 'group_counter': 2, 'group_order': 568, 'label': '284A-121', 'order': 284, 'powers': [99, 186, 153, 4], 'representative': 326, 'size': 1}
-
id: 138747593
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 269, 'group_counter': 2, 'group_order': 568, 'label': '284A123', 'order': 284, 'powers': [98, 195, 157, 4], 'representative': 246, 'size': 1}
-
id: 138747595
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 270, 'group_counter': 2, 'group_order': 568, 'label': '284A-123', 'order': 284, 'powers': [97, 196, 158, 3], 'representative': 322, 'size': 1}
-
id: 138747596
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 271, 'group_counter': 2, 'group_order': 568, 'label': '284A125', 'order': 284, 'powers': [96, 205, 171, 3], 'representative': 250, 'size': 1}
-
id: 138747597
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 272, 'group_counter': 2, 'group_order': 568, 'label': '284A-125', 'order': 284, 'powers': [95, 206, 172, 4], 'representative': 318, 'size': 1}
-
id: 138747598
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 273, 'group_counter': 2, 'group_order': 568, 'label': '284A127', 'order': 284, 'powers': [94, 215, 185, 4], 'representative': 254, 'size': 1}
-
id: 138747599
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 274, 'group_counter': 2, 'group_order': 568, 'label': '284A-127', 'order': 284, 'powers': [93, 216, 186, 3], 'representative': 314, 'size': 1}
-
id: 138747600
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 275, 'group_counter': 2, 'group_order': 568, 'label': '284A129', 'order': 284, 'powers': [92, 223, 199, 3], 'representative': 258, 'size': 1}
-
id: 138747601
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 276, 'group_counter': 2, 'group_order': 568, 'label': '284A-129', 'order': 284, 'powers': [91, 224, 200, 4], 'representative': 310, 'size': 1}
-
id: 138747602
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 277, 'group_counter': 2, 'group_order': 568, 'label': '284A131', 'order': 284, 'powers': [90, 233, 213, 4], 'representative': 262, 'size': 1}
-
id: 138747603
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 278, 'group_counter': 2, 'group_order': 568, 'label': '284A-131', 'order': 284, 'powers': [89, 234, 214, 3], 'representative': 306, 'size': 1}
-
id: 138747604
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 279, 'group_counter': 2, 'group_order': 568, 'label': '284A133', 'order': 284, 'powers': [88, 243, 225, 3], 'representative': 266, 'size': 1}
-
id: 138747606
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 280, 'group_counter': 2, 'group_order': 568, 'label': '284A-133', 'order': 284, 'powers': [87, 244, 226, 4], 'representative': 302, 'size': 1}
-
id: 138747607
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 281, 'group_counter': 2, 'group_order': 568, 'label': '284A135', 'order': 284, 'powers': [86, 253, 239, 4], 'representative': 270, 'size': 1}
-
id: 138747608
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 282, 'group_counter': 2, 'group_order': 568, 'label': '284A-135', 'order': 284, 'powers': [85, 254, 240, 3], 'representative': 298, 'size': 1}
-
id: 138747609
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 283, 'group_counter': 2, 'group_order': 568, 'label': '284A137', 'order': 284, 'powers': [84, 263, 253, 3], 'representative': 274, 'size': 1}
-
id: 138747610
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 284, 'group_counter': 2, 'group_order': 568, 'label': '284A-137', 'order': 284, 'powers': [83, 264, 254, 4], 'representative': 294, 'size': 1}
-
id: 138747611
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 285, 'group_counter': 2, 'group_order': 568, 'label': '284A139', 'order': 284, 'powers': [82, 273, 267, 4], 'representative': 278, 'size': 1}
-
id: 138747612
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 286, 'group_counter': 2, 'group_order': 568, 'label': '284A-139', 'order': 284, 'powers': [81, 274, 268, 3], 'representative': 290, 'size': 1}
-
id: 138747613
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 287, 'group_counter': 2, 'group_order': 568, 'label': '284A141', 'order': 284, 'powers': [80, 283, 281, 3], 'representative': 282, 'size': 1}
-
id: 138747614
{'aut_label': '284A1', 'centralizer': '1.a1.a1', 'counter': 288, 'group_counter': 2, 'group_order': 568, 'label': '284A-141', 'order': 284, 'powers': [79, 284, 282, 4], 'representative': 286, 'size': 1}
-
id: 138747615
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 289, 'group_counter': 2, 'group_order': 568, 'label': '568A1', 'order': 568, 'powers': [149, 293, 295, 5], 'representative': 1, 'size': 1}
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id: 138747617
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 290, 'group_counter': 2, 'group_order': 568, 'label': '568A-1', 'order': 568, 'powers': [150, 294, 296, 6], 'representative': 567, 'size': 1}
-
id: 138747618
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 291, 'group_counter': 2, 'group_order': 568, 'label': '568A3', 'order': 568, 'powers': [151, 303, 309, 7], 'representative': 3, 'size': 1}
-
id: 138747619
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 292, 'group_counter': 2, 'group_order': 568, 'label': '568A-3', 'order': 568, 'powers': [152, 304, 310, 8], 'representative': 565, 'size': 1}
-
id: 138747620
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 293, 'group_counter': 2, 'group_order': 568, 'label': '568A5', 'order': 568, 'powers': [153, 313, 323, 8], 'representative': 5, 'size': 1}
-
id: 138747621
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 294, 'group_counter': 2, 'group_order': 568, 'label': '568A-5', 'order': 568, 'powers': [154, 314, 324, 7], 'representative': 563, 'size': 1}
-
id: 138747622
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 295, 'group_counter': 2, 'group_order': 568, 'label': '568A7', 'order': 568, 'powers': [155, 323, 337, 6], 'representative': 7, 'size': 1}
-
id: 138747623
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 296, 'group_counter': 2, 'group_order': 568, 'label': '568A-7', 'order': 568, 'powers': [156, 324, 338, 5], 'representative': 561, 'size': 1}
-
id: 138747624
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 297, 'group_counter': 2, 'group_order': 568, 'label': '568A9', 'order': 568, 'powers': [157, 333, 351, 5], 'representative': 9, 'size': 1}
-
id: 138747625
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 298, 'group_counter': 2, 'group_order': 568, 'label': '568A-9', 'order': 568, 'powers': [158, 334, 352, 6], 'representative': 559, 'size': 1}
-
id: 138747626
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 299, 'group_counter': 2, 'group_order': 568, 'label': '568A11', 'order': 568, 'powers': [159, 343, 363, 7], 'representative': 11, 'size': 1}
-
id: 138747629
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 300, 'group_counter': 2, 'group_order': 568, 'label': '568A-11', 'order': 568, 'powers': [160, 344, 364, 8], 'representative': 557, 'size': 1}
-
id: 138747630
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 301, 'group_counter': 2, 'group_order': 568, 'label': '568A13', 'order': 568, 'powers': [161, 353, 377, 8], 'representative': 13, 'size': 1}
-
id: 138747631
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 302, 'group_counter': 2, 'group_order': 568, 'label': '568A-13', 'order': 568, 'powers': [162, 354, 378, 7], 'representative': 555, 'size': 1}
-
id: 138747632
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 303, 'group_counter': 2, 'group_order': 568, 'label': '568A15', 'order': 568, 'powers': [163, 361, 391, 6], 'representative': 15, 'size': 1}
-
id: 138747633
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 304, 'group_counter': 2, 'group_order': 568, 'label': '568A-15', 'order': 568, 'powers': [164, 362, 392, 5], 'representative': 553, 'size': 1}
-
id: 138747634
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 305, 'group_counter': 2, 'group_order': 568, 'label': '568A17', 'order': 568, 'powers': [165, 371, 405, 5], 'representative': 17, 'size': 1}
-
id: 138747635
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 306, 'group_counter': 2, 'group_order': 568, 'label': '568A-17', 'order': 568, 'powers': [166, 372, 406, 6], 'representative': 551, 'size': 1}
-
id: 138747636
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 307, 'group_counter': 2, 'group_order': 568, 'label': '568A19', 'order': 568, 'powers': [167, 381, 419, 7], 'representative': 19, 'size': 1}
-
id: 138747637
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 308, 'group_counter': 2, 'group_order': 568, 'label': '568A-19', 'order': 568, 'powers': [168, 382, 420, 8], 'representative': 549, 'size': 1}
-
id: 138747638
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 309, 'group_counter': 2, 'group_order': 568, 'label': '568A21', 'order': 568, 'powers': [169, 391, 433, 8], 'representative': 21, 'size': 1}
-
id: 138747640
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 310, 'group_counter': 2, 'group_order': 568, 'label': '568A-21', 'order': 568, 'powers': [170, 392, 434, 7], 'representative': 547, 'size': 1}
-
id: 138747641
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 311, 'group_counter': 2, 'group_order': 568, 'label': '568A23', 'order': 568, 'powers': [171, 401, 447, 6], 'representative': 23, 'size': 1}
-
id: 138747642
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 312, 'group_counter': 2, 'group_order': 568, 'label': '568A-23', 'order': 568, 'powers': [172, 402, 448, 5], 'representative': 545, 'size': 1}
-
id: 138747643
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 313, 'group_counter': 2, 'group_order': 568, 'label': '568A25', 'order': 568, 'powers': [173, 411, 461, 5], 'representative': 25, 'size': 1}
-
id: 138747644
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 314, 'group_counter': 2, 'group_order': 568, 'label': '568A-25', 'order': 568, 'powers': [174, 412, 462, 6], 'representative': 543, 'size': 1}
-
id: 138747645
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 315, 'group_counter': 2, 'group_order': 568, 'label': '568A27', 'order': 568, 'powers': [175, 421, 475, 7], 'representative': 27, 'size': 1}
-
id: 138747646
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 316, 'group_counter': 2, 'group_order': 568, 'label': '568A-27', 'order': 568, 'powers': [176, 422, 476, 8], 'representative': 541, 'size': 1}
-
id: 138747647
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 317, 'group_counter': 2, 'group_order': 568, 'label': '568A29', 'order': 568, 'powers': [177, 431, 489, 8], 'representative': 29, 'size': 1}
-
id: 138747648
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 318, 'group_counter': 2, 'group_order': 568, 'label': '568A-29', 'order': 568, 'powers': [178, 432, 490, 7], 'representative': 539, 'size': 1}
-
id: 138747649
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 319, 'group_counter': 2, 'group_order': 568, 'label': '568A31', 'order': 568, 'powers': [179, 441, 501, 6], 'representative': 31, 'size': 1}
-
id: 138747651
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 320, 'group_counter': 2, 'group_order': 568, 'label': '568A-31', 'order': 568, 'powers': [180, 442, 502, 5], 'representative': 537, 'size': 1}
-
id: 138747652
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 321, 'group_counter': 2, 'group_order': 568, 'label': '568A33', 'order': 568, 'powers': [181, 451, 515, 5], 'representative': 33, 'size': 1}
-
id: 138747653
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 322, 'group_counter': 2, 'group_order': 568, 'label': '568A-33', 'order': 568, 'powers': [182, 452, 516, 6], 'representative': 535, 'size': 1}
-
id: 138747654
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 323, 'group_counter': 2, 'group_order': 568, 'label': '568A35', 'order': 568, 'powers': [183, 461, 529, 7], 'representative': 35, 'size': 1}
-
id: 138747655
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 324, 'group_counter': 2, 'group_order': 568, 'label': '568A-35', 'order': 568, 'powers': [184, 462, 530, 8], 'representative': 533, 'size': 1}
-
id: 138747656
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 325, 'group_counter': 2, 'group_order': 568, 'label': '568A37', 'order': 568, 'powers': [185, 471, 543, 8], 'representative': 37, 'size': 1}
-
id: 138747657
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 326, 'group_counter': 2, 'group_order': 568, 'label': '568A-37', 'order': 568, 'powers': [186, 472, 544, 7], 'representative': 531, 'size': 1}
-
id: 138747658
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 327, 'group_counter': 2, 'group_order': 568, 'label': '568A39', 'order': 568, 'powers': [187, 481, 557, 6], 'representative': 39, 'size': 1}
-
id: 138747659
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 328, 'group_counter': 2, 'group_order': 568, 'label': '568A-39', 'order': 568, 'powers': [188, 482, 558, 5], 'representative': 529, 'size': 1}
-
id: 138747660
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 329, 'group_counter': 2, 'group_order': 568, 'label': '568A41', 'order': 568, 'powers': [189, 491, 566, 5], 'representative': 41, 'size': 1}
-
id: 138747662
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 330, 'group_counter': 2, 'group_order': 568, 'label': '568A-41', 'order': 568, 'powers': [190, 492, 565, 6], 'representative': 527, 'size': 1}
-
id: 138747663
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 331, 'group_counter': 2, 'group_order': 568, 'label': '568A43', 'order': 568, 'powers': [191, 499, 552, 7], 'representative': 43, 'size': 1}
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id: 138747664
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id: 138747665
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id: 138747666
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id: 138747667
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 335, 'group_counter': 2, 'group_order': 568, 'label': '568A47', 'order': 568, 'powers': [195, 519, 524, 6], 'representative': 47, 'size': 1}
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id: 138747668
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id: 138747669
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 337, 'group_counter': 2, 'group_order': 568, 'label': '568A49', 'order': 568, 'powers': [197, 529, 510, 5], 'representative': 49, 'size': 1}
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id: 138747670
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id: 138747671
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 339, 'group_counter': 2, 'group_order': 568, 'label': '568A51', 'order': 568, 'powers': [199, 539, 498, 7], 'representative': 51, 'size': 1}
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id: 138747673
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 340, 'group_counter': 2, 'group_order': 568, 'label': '568A-51', 'order': 568, 'powers': [200, 540, 497, 8], 'representative': 517, 'size': 1}
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id: 138747674
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 341, 'group_counter': 2, 'group_order': 568, 'label': '568A53', 'order': 568, 'powers': [201, 549, 484, 8], 'representative': 53, 'size': 1}
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id: 138747675
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 342, 'group_counter': 2, 'group_order': 568, 'label': '568A-53', 'order': 568, 'powers': [202, 550, 483, 7], 'representative': 515, 'size': 1}
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id: 138747676
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 343, 'group_counter': 2, 'group_order': 568, 'label': '568A55', 'order': 568, 'powers': [203, 559, 470, 6], 'representative': 55, 'size': 1}
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id: 138747677
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 344, 'group_counter': 2, 'group_order': 568, 'label': '568A-55', 'order': 568, 'powers': [204, 560, 469, 5], 'representative': 513, 'size': 1}
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id: 138747678
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 345, 'group_counter': 2, 'group_order': 568, 'label': '568A57', 'order': 568, 'powers': [205, 568, 456, 5], 'representative': 57, 'size': 1}
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id: 138747679
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 346, 'group_counter': 2, 'group_order': 568, 'label': '568A-57', 'order': 568, 'powers': [206, 567, 455, 6], 'representative': 511, 'size': 1}
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id: 138747680
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 347, 'group_counter': 2, 'group_order': 568, 'label': '568A59', 'order': 568, 'powers': [207, 558, 442, 7], 'representative': 59, 'size': 1}
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id: 138747681
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 348, 'group_counter': 2, 'group_order': 568, 'label': '568A-59', 'order': 568, 'powers': [208, 557, 441, 8], 'representative': 509, 'size': 1}
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id: 138747682
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 349, 'group_counter': 2, 'group_order': 568, 'label': '568A61', 'order': 568, 'powers': [209, 548, 428, 8], 'representative': 61, 'size': 1}
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id: 138747684
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 350, 'group_counter': 2, 'group_order': 568, 'label': '568A-61', 'order': 568, 'powers': [210, 547, 427, 7], 'representative': 507, 'size': 1}
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id: 138747685
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 351, 'group_counter': 2, 'group_order': 568, 'label': '568A63', 'order': 568, 'powers': [211, 538, 414, 6], 'representative': 63, 'size': 1}
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id: 138747686
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 352, 'group_counter': 2, 'group_order': 568, 'label': '568A-63', 'order': 568, 'powers': [212, 537, 413, 5], 'representative': 505, 'size': 1}
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id: 138747687
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 353, 'group_counter': 2, 'group_order': 568, 'label': '568A65', 'order': 568, 'powers': [213, 528, 400, 5], 'representative': 65, 'size': 1}
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id: 138747688
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 354, 'group_counter': 2, 'group_order': 568, 'label': '568A-65', 'order': 568, 'powers': [214, 527, 399, 6], 'representative': 503, 'size': 1}
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id: 138747689
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 355, 'group_counter': 2, 'group_order': 568, 'label': '568A67', 'order': 568, 'powers': [215, 518, 386, 7], 'representative': 67, 'size': 1}
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id: 138747690
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 356, 'group_counter': 2, 'group_order': 568, 'label': '568A-67', 'order': 568, 'powers': [216, 517, 385, 8], 'representative': 501, 'size': 1}
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id: 138747691
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 357, 'group_counter': 2, 'group_order': 568, 'label': '568A69', 'order': 568, 'powers': [217, 508, 372, 8], 'representative': 69, 'size': 1}
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id: 138747692
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 358, 'group_counter': 2, 'group_order': 568, 'label': '568A-69', 'order': 568, 'powers': [218, 507, 371, 7], 'representative': 499, 'size': 1}
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id: 138747693
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 359, 'group_counter': 2, 'group_order': 568, 'label': '568A73', 'order': 568, 'powers': [219, 490, 346, 5], 'representative': 73, 'size': 1}
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id: 138747695
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 360, 'group_counter': 2, 'group_order': 568, 'label': '568A-73', 'order': 568, 'powers': [220, 489, 345, 6], 'representative': 495, 'size': 1}
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id: 138747696
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 361, 'group_counter': 2, 'group_order': 568, 'label': '568A75', 'order': 568, 'powers': [221, 480, 332, 7], 'representative': 75, 'size': 1}
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id: 138747697
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 362, 'group_counter': 2, 'group_order': 568, 'label': '568A-75', 'order': 568, 'powers': [222, 479, 331, 8], 'representative': 493, 'size': 1}
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id: 138747698
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 363, 'group_counter': 2, 'group_order': 568, 'label': '568A77', 'order': 568, 'powers': [223, 470, 318, 8], 'representative': 77, 'size': 1}
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id: 138747699
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 364, 'group_counter': 2, 'group_order': 568, 'label': '568A-77', 'order': 568, 'powers': [224, 469, 317, 7], 'representative': 491, 'size': 1}
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id: 138747700
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 365, 'group_counter': 2, 'group_order': 568, 'label': '568A79', 'order': 568, 'powers': [225, 460, 304, 6], 'representative': 79, 'size': 1}
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id: 138747701
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 366, 'group_counter': 2, 'group_order': 568, 'label': '568A-79', 'order': 568, 'powers': [226, 459, 303, 5], 'representative': 489, 'size': 1}
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id: 138747702
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 367, 'group_counter': 2, 'group_order': 568, 'label': '568A81', 'order': 568, 'powers': [227, 450, 290, 5], 'representative': 81, 'size': 1}
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id: 138747703
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 368, 'group_counter': 2, 'group_order': 568, 'label': '568A-81', 'order': 568, 'powers': [228, 449, 289, 6], 'representative': 487, 'size': 1}
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id: 138747704
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 369, 'group_counter': 2, 'group_order': 568, 'label': '568A83', 'order': 568, 'powers': [229, 440, 301, 7], 'representative': 83, 'size': 1}
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id: 138747706
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 370, 'group_counter': 2, 'group_order': 568, 'label': '568A-83', 'order': 568, 'powers': [230, 439, 302, 8], 'representative': 485, 'size': 1}
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id: 138747707
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 371, 'group_counter': 2, 'group_order': 568, 'label': '568A85', 'order': 568, 'powers': [231, 430, 315, 8], 'representative': 85, 'size': 1}
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id: 138747708
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 372, 'group_counter': 2, 'group_order': 568, 'label': '568A-85', 'order': 568, 'powers': [232, 429, 316, 7], 'representative': 483, 'size': 1}
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id: 138747709
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 373, 'group_counter': 2, 'group_order': 568, 'label': '568A87', 'order': 568, 'powers': [233, 420, 329, 6], 'representative': 87, 'size': 1}
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id: 138747710
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 374, 'group_counter': 2, 'group_order': 568, 'label': '568A-87', 'order': 568, 'powers': [234, 419, 330, 5], 'representative': 481, 'size': 1}
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id: 138747711
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 375, 'group_counter': 2, 'group_order': 568, 'label': '568A89', 'order': 568, 'powers': [235, 410, 343, 5], 'representative': 89, 'size': 1}
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id: 138747712
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 376, 'group_counter': 2, 'group_order': 568, 'label': '568A-89', 'order': 568, 'powers': [236, 409, 344, 6], 'representative': 479, 'size': 1}
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id: 138747713
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 377, 'group_counter': 2, 'group_order': 568, 'label': '568A91', 'order': 568, 'powers': [237, 400, 357, 7], 'representative': 91, 'size': 1}
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id: 138747714
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 378, 'group_counter': 2, 'group_order': 568, 'label': '568A-91', 'order': 568, 'powers': [238, 399, 358, 8], 'representative': 477, 'size': 1}
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id: 138747715
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 379, 'group_counter': 2, 'group_order': 568, 'label': '568A93', 'order': 568, 'powers': [239, 390, 369, 8], 'representative': 93, 'size': 1}
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id: 138747717
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 380, 'group_counter': 2, 'group_order': 568, 'label': '568A-93', 'order': 568, 'powers': [240, 389, 370, 7], 'representative': 475, 'size': 1}
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id: 138747718
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 381, 'group_counter': 2, 'group_order': 568, 'label': '568A95', 'order': 568, 'powers': [241, 380, 383, 6], 'representative': 95, 'size': 1}
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id: 138747719
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 382, 'group_counter': 2, 'group_order': 568, 'label': '568A-95', 'order': 568, 'powers': [242, 379, 384, 5], 'representative': 473, 'size': 1}
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id: 138747720
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 383, 'group_counter': 2, 'group_order': 568, 'label': '568A97', 'order': 568, 'powers': [243, 370, 397, 5], 'representative': 97, 'size': 1}
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id: 138747721
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 384, 'group_counter': 2, 'group_order': 568, 'label': '568A-97', 'order': 568, 'powers': [244, 369, 398, 6], 'representative': 471, 'size': 1}
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id: 138747722
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 385, 'group_counter': 2, 'group_order': 568, 'label': '568A99', 'order': 568, 'powers': [245, 360, 411, 7], 'representative': 99, 'size': 1}
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id: 138747723
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 386, 'group_counter': 2, 'group_order': 568, 'label': '568A-99', 'order': 568, 'powers': [246, 359, 412, 8], 'representative': 469, 'size': 1}
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id: 138747724
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 387, 'group_counter': 2, 'group_order': 568, 'label': '568A101', 'order': 568, 'powers': [247, 352, 425, 8], 'representative': 101, 'size': 1}
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id: 138747725
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 388, 'group_counter': 2, 'group_order': 568, 'label': '568A-101', 'order': 568, 'powers': [248, 351, 426, 7], 'representative': 467, 'size': 1}
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id: 138747726
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 389, 'group_counter': 2, 'group_order': 568, 'label': '568A103', 'order': 568, 'powers': [249, 342, 439, 6], 'representative': 103, 'size': 1}
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id: 138747728
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 390, 'group_counter': 2, 'group_order': 568, 'label': '568A-103', 'order': 568, 'powers': [250, 341, 440, 5], 'representative': 465, 'size': 1}
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id: 138747729
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 391, 'group_counter': 2, 'group_order': 568, 'label': '568A105', 'order': 568, 'powers': [251, 332, 453, 5], 'representative': 105, 'size': 1}
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id: 138747730
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 392, 'group_counter': 2, 'group_order': 568, 'label': '568A-105', 'order': 568, 'powers': [252, 331, 454, 6], 'representative': 463, 'size': 1}
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id: 138747731
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 393, 'group_counter': 2, 'group_order': 568, 'label': '568A107', 'order': 568, 'powers': [253, 322, 467, 7], 'representative': 107, 'size': 1}
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id: 138747732
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 394, 'group_counter': 2, 'group_order': 568, 'label': '568A-107', 'order': 568, 'powers': [254, 321, 468, 8], 'representative': 461, 'size': 1}
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id: 138747733
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 395, 'group_counter': 2, 'group_order': 568, 'label': '568A109', 'order': 568, 'powers': [255, 312, 481, 8], 'representative': 109, 'size': 1}
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id: 138747734
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 396, 'group_counter': 2, 'group_order': 568, 'label': '568A-109', 'order': 568, 'powers': [256, 311, 482, 7], 'representative': 459, 'size': 1}
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id: 138747735
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 397, 'group_counter': 2, 'group_order': 568, 'label': '568A111', 'order': 568, 'powers': [257, 302, 495, 6], 'representative': 111, 'size': 1}
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id: 138747736
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 398, 'group_counter': 2, 'group_order': 568, 'label': '568A-111', 'order': 568, 'powers': [258, 301, 496, 5], 'representative': 457, 'size': 1}
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id: 138747737
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 399, 'group_counter': 2, 'group_order': 568, 'label': '568A113', 'order': 568, 'powers': [259, 292, 507, 5], 'representative': 113, 'size': 1}
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id: 138747740
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 400, 'group_counter': 2, 'group_order': 568, 'label': '568A-113', 'order': 568, 'powers': [260, 291, 508, 6], 'representative': 455, 'size': 1}
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id: 138747741
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 401, 'group_counter': 2, 'group_order': 568, 'label': '568A115', 'order': 568, 'powers': [261, 295, 521, 7], 'representative': 115, 'size': 1}
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id: 138747742
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 402, 'group_counter': 2, 'group_order': 568, 'label': '568A-115', 'order': 568, 'powers': [262, 296, 522, 8], 'representative': 453, 'size': 1}
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id: 138747743
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 403, 'group_counter': 2, 'group_order': 568, 'label': '568A117', 'order': 568, 'powers': [263, 305, 535, 8], 'representative': 117, 'size': 1}
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id: 138747744
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 404, 'group_counter': 2, 'group_order': 568, 'label': '568A-117', 'order': 568, 'powers': [264, 306, 536, 7], 'representative': 451, 'size': 1}
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id: 138747745
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 405, 'group_counter': 2, 'group_order': 568, 'label': '568A119', 'order': 568, 'powers': [265, 315, 549, 6], 'representative': 119, 'size': 1}
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id: 138747746
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 406, 'group_counter': 2, 'group_order': 568, 'label': '568A-119', 'order': 568, 'powers': [266, 316, 550, 5], 'representative': 449, 'size': 1}
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id: 138747747
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 407, 'group_counter': 2, 'group_order': 568, 'label': '568A121', 'order': 568, 'powers': [267, 325, 563, 5], 'representative': 121, 'size': 1}
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id: 138747748
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 408, 'group_counter': 2, 'group_order': 568, 'label': '568A-121', 'order': 568, 'powers': [268, 326, 564, 6], 'representative': 447, 'size': 1}
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id: 138747749
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 409, 'group_counter': 2, 'group_order': 568, 'label': '568A123', 'order': 568, 'powers': [269, 335, 560, 7], 'representative': 123, 'size': 1}
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id: 138747751
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 410, 'group_counter': 2, 'group_order': 568, 'label': '568A-123', 'order': 568, 'powers': [270, 336, 559, 8], 'representative': 445, 'size': 1}
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id: 138747752
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 411, 'group_counter': 2, 'group_order': 568, 'label': '568A125', 'order': 568, 'powers': [271, 345, 546, 8], 'representative': 125, 'size': 1}
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id: 138747753
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 412, 'group_counter': 2, 'group_order': 568, 'label': '568A-125', 'order': 568, 'powers': [272, 346, 545, 7], 'representative': 443, 'size': 1}
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id: 138747754
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 413, 'group_counter': 2, 'group_order': 568, 'label': '568A127', 'order': 568, 'powers': [273, 355, 532, 6], 'representative': 127, 'size': 1}
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id: 138747755
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 414, 'group_counter': 2, 'group_order': 568, 'label': '568A-127', 'order': 568, 'powers': [274, 356, 531, 5], 'representative': 441, 'size': 1}
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id: 138747756
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 415, 'group_counter': 2, 'group_order': 568, 'label': '568A129', 'order': 568, 'powers': [275, 363, 518, 5], 'representative': 129, 'size': 1}
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id: 138747757
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 416, 'group_counter': 2, 'group_order': 568, 'label': '568A-129', 'order': 568, 'powers': [276, 364, 517, 6], 'representative': 439, 'size': 1}
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id: 138747758
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 417, 'group_counter': 2, 'group_order': 568, 'label': '568A131', 'order': 568, 'powers': [277, 373, 504, 7], 'representative': 131, 'size': 1}
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id: 138747759
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 418, 'group_counter': 2, 'group_order': 568, 'label': '568A-131', 'order': 568, 'powers': [278, 374, 503, 8], 'representative': 437, 'size': 1}
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id: 138747760
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 419, 'group_counter': 2, 'group_order': 568, 'label': '568A133', 'order': 568, 'powers': [279, 383, 492, 8], 'representative': 133, 'size': 1}
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id: 138747762
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 420, 'group_counter': 2, 'group_order': 568, 'label': '568A-133', 'order': 568, 'powers': [280, 384, 491, 7], 'representative': 435, 'size': 1}
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id: 138747763
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 421, 'group_counter': 2, 'group_order': 568, 'label': '568A135', 'order': 568, 'powers': [281, 393, 478, 6], 'representative': 135, 'size': 1}
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id: 138747764
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 422, 'group_counter': 2, 'group_order': 568, 'label': '568A-135', 'order': 568, 'powers': [282, 394, 477, 5], 'representative': 433, 'size': 1}
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id: 138747765
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 423, 'group_counter': 2, 'group_order': 568, 'label': '568A137', 'order': 568, 'powers': [283, 403, 464, 5], 'representative': 137, 'size': 1}
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id: 138747766
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 424, 'group_counter': 2, 'group_order': 568, 'label': '568A-137', 'order': 568, 'powers': [284, 404, 463, 6], 'representative': 431, 'size': 1}
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id: 138747767
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 425, 'group_counter': 2, 'group_order': 568, 'label': '568A139', 'order': 568, 'powers': [285, 413, 450, 7], 'representative': 139, 'size': 1}
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id: 138747768
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 426, 'group_counter': 2, 'group_order': 568, 'label': '568A-139', 'order': 568, 'powers': [286, 414, 449, 8], 'representative': 429, 'size': 1}
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id: 138747769
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 427, 'group_counter': 2, 'group_order': 568, 'label': '568A141', 'order': 568, 'powers': [287, 423, 436, 8], 'representative': 141, 'size': 1}
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id: 138747770
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 428, 'group_counter': 2, 'group_order': 568, 'label': '568A-141', 'order': 568, 'powers': [288, 424, 435, 7], 'representative': 427, 'size': 1}
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id: 138747771
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 429, 'group_counter': 2, 'group_order': 568, 'label': '568A143', 'order': 568, 'powers': [288, 433, 422, 6], 'representative': 143, 'size': 1}
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id: 138747773
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 430, 'group_counter': 2, 'group_order': 568, 'label': '568A-143', 'order': 568, 'powers': [287, 434, 421, 5], 'representative': 425, 'size': 1}
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id: 138747774
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 431, 'group_counter': 2, 'group_order': 568, 'label': '568A145', 'order': 568, 'powers': [286, 443, 408, 5], 'representative': 145, 'size': 1}
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id: 138747775
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 432, 'group_counter': 2, 'group_order': 568, 'label': '568A-145', 'order': 568, 'powers': [285, 444, 407, 6], 'representative': 423, 'size': 1}
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id: 138747776
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 433, 'group_counter': 2, 'group_order': 568, 'label': '568A147', 'order': 568, 'powers': [284, 453, 394, 7], 'representative': 147, 'size': 1}
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id: 138747777
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 434, 'group_counter': 2, 'group_order': 568, 'label': '568A-147', 'order': 568, 'powers': [283, 454, 393, 8], 'representative': 421, 'size': 1}
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id: 138747778
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 435, 'group_counter': 2, 'group_order': 568, 'label': '568A149', 'order': 568, 'powers': [282, 463, 380, 8], 'representative': 149, 'size': 1}
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id: 138747779
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 436, 'group_counter': 2, 'group_order': 568, 'label': '568A-149', 'order': 568, 'powers': [281, 464, 379, 7], 'representative': 419, 'size': 1}
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id: 138747780
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 437, 'group_counter': 2, 'group_order': 568, 'label': '568A151', 'order': 568, 'powers': [280, 473, 366, 6], 'representative': 151, 'size': 1}
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id: 138747781
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 438, 'group_counter': 2, 'group_order': 568, 'label': '568A-151', 'order': 568, 'powers': [279, 474, 365, 5], 'representative': 417, 'size': 1}
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id: 138747782
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 439, 'group_counter': 2, 'group_order': 568, 'label': '568A153', 'order': 568, 'powers': [278, 483, 354, 5], 'representative': 153, 'size': 1}
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id: 138747784
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 440, 'group_counter': 2, 'group_order': 568, 'label': '568A-153', 'order': 568, 'powers': [277, 484, 353, 6], 'representative': 415, 'size': 1}
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id: 138747785
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 441, 'group_counter': 2, 'group_order': 568, 'label': '568A155', 'order': 568, 'powers': [276, 493, 340, 7], 'representative': 155, 'size': 1}
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id: 138747786
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 442, 'group_counter': 2, 'group_order': 568, 'label': '568A-155', 'order': 568, 'powers': [275, 494, 339, 8], 'representative': 413, 'size': 1}
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id: 138747787
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 443, 'group_counter': 2, 'group_order': 568, 'label': '568A157', 'order': 568, 'powers': [274, 501, 326, 8], 'representative': 157, 'size': 1}
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id: 138747788
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 444, 'group_counter': 2, 'group_order': 568, 'label': '568A-157', 'order': 568, 'powers': [273, 502, 325, 7], 'representative': 411, 'size': 1}
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id: 138747789
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 445, 'group_counter': 2, 'group_order': 568, 'label': '568A159', 'order': 568, 'powers': [272, 511, 312, 6], 'representative': 159, 'size': 1}
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id: 138747790
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 446, 'group_counter': 2, 'group_order': 568, 'label': '568A-159', 'order': 568, 'powers': [271, 512, 311, 5], 'representative': 409, 'size': 1}
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id: 138747791
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 447, 'group_counter': 2, 'group_order': 568, 'label': '568A161', 'order': 568, 'powers': [270, 521, 298, 5], 'representative': 161, 'size': 1}
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id: 138747792
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 448, 'group_counter': 2, 'group_order': 568, 'label': '568A-161', 'order': 568, 'powers': [269, 522, 297, 6], 'representative': 407, 'size': 1}
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id: 138747793
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 449, 'group_counter': 2, 'group_order': 568, 'label': '568A163', 'order': 568, 'powers': [268, 531, 293, 7], 'representative': 163, 'size': 1}
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id: 138747795
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 450, 'group_counter': 2, 'group_order': 568, 'label': '568A-163', 'order': 568, 'powers': [267, 532, 294, 8], 'representative': 405, 'size': 1}
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id: 138747796
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 451, 'group_counter': 2, 'group_order': 568, 'label': '568A165', 'order': 568, 'powers': [266, 541, 307, 8], 'representative': 165, 'size': 1}
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id: 138747797
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 452, 'group_counter': 2, 'group_order': 568, 'label': '568A-165', 'order': 568, 'powers': [265, 542, 308, 7], 'representative': 403, 'size': 1}
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id: 138747798
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 453, 'group_counter': 2, 'group_order': 568, 'label': '568A167', 'order': 568, 'powers': [264, 551, 321, 6], 'representative': 167, 'size': 1}
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id: 138747799
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 454, 'group_counter': 2, 'group_order': 568, 'label': '568A-167', 'order': 568, 'powers': [263, 552, 322, 5], 'representative': 401, 'size': 1}
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id: 138747800
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 455, 'group_counter': 2, 'group_order': 568, 'label': '568A169', 'order': 568, 'powers': [262, 561, 335, 5], 'representative': 169, 'size': 1}
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id: 138747801
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 456, 'group_counter': 2, 'group_order': 568, 'label': '568A-169', 'order': 568, 'powers': [261, 562, 336, 6], 'representative': 399, 'size': 1}
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id: 138747802
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 457, 'group_counter': 2, 'group_order': 568, 'label': '568A171', 'order': 568, 'powers': [260, 566, 349, 7], 'representative': 171, 'size': 1}
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id: 138747803
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 458, 'group_counter': 2, 'group_order': 568, 'label': '568A-171', 'order': 568, 'powers': [259, 565, 350, 8], 'representative': 397, 'size': 1}
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id: 138747804
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 459, 'group_counter': 2, 'group_order': 568, 'label': '568A173', 'order': 568, 'powers': [258, 556, 361, 8], 'representative': 173, 'size': 1}
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id: 138747806
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 460, 'group_counter': 2, 'group_order': 568, 'label': '568A-173', 'order': 568, 'powers': [257, 555, 362, 7], 'representative': 395, 'size': 1}
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id: 138747807
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 461, 'group_counter': 2, 'group_order': 568, 'label': '568A175', 'order': 568, 'powers': [256, 546, 375, 6], 'representative': 175, 'size': 1}
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id: 138747808
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 462, 'group_counter': 2, 'group_order': 568, 'label': '568A-175', 'order': 568, 'powers': [255, 545, 376, 5], 'representative': 393, 'size': 1}
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id: 138747809
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 463, 'group_counter': 2, 'group_order': 568, 'label': '568A177', 'order': 568, 'powers': [254, 536, 389, 5], 'representative': 177, 'size': 1}
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id: 138747810
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 464, 'group_counter': 2, 'group_order': 568, 'label': '568A-177', 'order': 568, 'powers': [253, 535, 390, 6], 'representative': 391, 'size': 1}
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id: 138747811
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 465, 'group_counter': 2, 'group_order': 568, 'label': '568A179', 'order': 568, 'powers': [252, 526, 403, 7], 'representative': 179, 'size': 1}
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id: 138747812
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 466, 'group_counter': 2, 'group_order': 568, 'label': '568A-179', 'order': 568, 'powers': [251, 525, 404, 8], 'representative': 389, 'size': 1}
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id: 138747813
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 467, 'group_counter': 2, 'group_order': 568, 'label': '568A181', 'order': 568, 'powers': [250, 516, 417, 8], 'representative': 181, 'size': 1}
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id: 138747814
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 468, 'group_counter': 2, 'group_order': 568, 'label': '568A-181', 'order': 568, 'powers': [249, 515, 418, 7], 'representative': 387, 'size': 1}
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id: 138747815
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 469, 'group_counter': 2, 'group_order': 568, 'label': '568A183', 'order': 568, 'powers': [248, 506, 431, 6], 'representative': 183, 'size': 1}
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id: 138747817
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 470, 'group_counter': 2, 'group_order': 568, 'label': '568A-183', 'order': 568, 'powers': [247, 505, 432, 5], 'representative': 385, 'size': 1}
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id: 138747818
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 471, 'group_counter': 2, 'group_order': 568, 'label': '568A185', 'order': 568, 'powers': [246, 498, 445, 5], 'representative': 185, 'size': 1}
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id: 138747819
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 472, 'group_counter': 2, 'group_order': 568, 'label': '568A-185', 'order': 568, 'powers': [245, 497, 446, 6], 'representative': 383, 'size': 1}
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id: 138747820
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 473, 'group_counter': 2, 'group_order': 568, 'label': '568A187', 'order': 568, 'powers': [244, 488, 459, 7], 'representative': 187, 'size': 1}
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id: 138747821
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 474, 'group_counter': 2, 'group_order': 568, 'label': '568A-187', 'order': 568, 'powers': [243, 487, 460, 8], 'representative': 381, 'size': 1}
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id: 138747822
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 475, 'group_counter': 2, 'group_order': 568, 'label': '568A189', 'order': 568, 'powers': [242, 478, 473, 8], 'representative': 189, 'size': 1}
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id: 138747823
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 476, 'group_counter': 2, 'group_order': 568, 'label': '568A-189', 'order': 568, 'powers': [241, 477, 474, 7], 'representative': 379, 'size': 1}
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id: 138747824
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 477, 'group_counter': 2, 'group_order': 568, 'label': '568A191', 'order': 568, 'powers': [240, 468, 487, 6], 'representative': 191, 'size': 1}
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id: 138747825
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 478, 'group_counter': 2, 'group_order': 568, 'label': '568A-191', 'order': 568, 'powers': [239, 467, 488, 5], 'representative': 377, 'size': 1}
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id: 138747826
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 479, 'group_counter': 2, 'group_order': 568, 'label': '568A193', 'order': 568, 'powers': [238, 458, 499, 5], 'representative': 193, 'size': 1}
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id: 138747828
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 480, 'group_counter': 2, 'group_order': 568, 'label': '568A-193', 'order': 568, 'powers': [237, 457, 500, 6], 'representative': 375, 'size': 1}
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id: 138747829
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 481, 'group_counter': 2, 'group_order': 568, 'label': '568A195', 'order': 568, 'powers': [236, 448, 513, 7], 'representative': 195, 'size': 1}
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id: 138747830
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 482, 'group_counter': 2, 'group_order': 568, 'label': '568A-195', 'order': 568, 'powers': [235, 447, 514, 8], 'representative': 373, 'size': 1}
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id: 138747831
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 483, 'group_counter': 2, 'group_order': 568, 'label': '568A197', 'order': 568, 'powers': [234, 438, 527, 8], 'representative': 197, 'size': 1}
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id: 138747832
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 484, 'group_counter': 2, 'group_order': 568, 'label': '568A-197', 'order': 568, 'powers': [233, 437, 528, 7], 'representative': 371, 'size': 1}
-
id: 138747833
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 485, 'group_counter': 2, 'group_order': 568, 'label': '568A199', 'order': 568, 'powers': [232, 428, 541, 6], 'representative': 199, 'size': 1}
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id: 138747834
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 486, 'group_counter': 2, 'group_order': 568, 'label': '568A-199', 'order': 568, 'powers': [231, 427, 542, 5], 'representative': 369, 'size': 1}
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id: 138747835
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 487, 'group_counter': 2, 'group_order': 568, 'label': '568A201', 'order': 568, 'powers': [230, 418, 555, 5], 'representative': 201, 'size': 1}
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id: 138747836
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 488, 'group_counter': 2, 'group_order': 568, 'label': '568A-201', 'order': 568, 'powers': [229, 417, 556, 6], 'representative': 367, 'size': 1}
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id: 138747837
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 489, 'group_counter': 2, 'group_order': 568, 'label': '568A203', 'order': 568, 'powers': [228, 408, 568, 7], 'representative': 203, 'size': 1}
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id: 138747839
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 490, 'group_counter': 2, 'group_order': 568, 'label': '568A-203', 'order': 568, 'powers': [227, 407, 567, 8], 'representative': 365, 'size': 1}
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id: 138747840
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 491, 'group_counter': 2, 'group_order': 568, 'label': '568A205', 'order': 568, 'powers': [226, 398, 554, 8], 'representative': 205, 'size': 1}
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id: 138747841
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 492, 'group_counter': 2, 'group_order': 568, 'label': '568A-205', 'order': 568, 'powers': [225, 397, 553, 7], 'representative': 363, 'size': 1}
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id: 138747842
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 493, 'group_counter': 2, 'group_order': 568, 'label': '568A207', 'order': 568, 'powers': [224, 388, 540, 6], 'representative': 207, 'size': 1}
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id: 138747843
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 494, 'group_counter': 2, 'group_order': 568, 'label': '568A-207', 'order': 568, 'powers': [223, 387, 539, 5], 'representative': 361, 'size': 1}
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id: 138747844
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 495, 'group_counter': 2, 'group_order': 568, 'label': '568A209', 'order': 568, 'powers': [222, 378, 526, 5], 'representative': 209, 'size': 1}
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id: 138747845
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 496, 'group_counter': 2, 'group_order': 568, 'label': '568A-209', 'order': 568, 'powers': [221, 377, 525, 6], 'representative': 359, 'size': 1}
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id: 138747846
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 497, 'group_counter': 2, 'group_order': 568, 'label': '568A211', 'order': 568, 'powers': [220, 368, 512, 7], 'representative': 211, 'size': 1}
-
id: 138747847
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 498, 'group_counter': 2, 'group_order': 568, 'label': '568A-211', 'order': 568, 'powers': [219, 367, 511, 8], 'representative': 357, 'size': 1}
-
id: 138747848
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 499, 'group_counter': 2, 'group_order': 568, 'label': '568A215', 'order': 568, 'powers': [218, 350, 486, 6], 'representative': 215, 'size': 1}
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id: 138747851
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 500, 'group_counter': 2, 'group_order': 568, 'label': '568A-215', 'order': 568, 'powers': [217, 349, 485, 5], 'representative': 353, 'size': 1}
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id: 138747852
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 501, 'group_counter': 2, 'group_order': 568, 'label': '568A217', 'order': 568, 'powers': [216, 340, 472, 5], 'representative': 217, 'size': 1}
-
id: 138747853
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 502, 'group_counter': 2, 'group_order': 568, 'label': '568A-217', 'order': 568, 'powers': [215, 339, 471, 6], 'representative': 351, 'size': 1}
-
id: 138747854
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 503, 'group_counter': 2, 'group_order': 568, 'label': '568A219', 'order': 568, 'powers': [214, 330, 458, 7], 'representative': 219, 'size': 1}
-
id: 138747855
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 504, 'group_counter': 2, 'group_order': 568, 'label': '568A-219', 'order': 568, 'powers': [213, 329, 457, 8], 'representative': 349, 'size': 1}
-
id: 138747856
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 505, 'group_counter': 2, 'group_order': 568, 'label': '568A221', 'order': 568, 'powers': [212, 320, 444, 8], 'representative': 221, 'size': 1}
-
id: 138747857
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 506, 'group_counter': 2, 'group_order': 568, 'label': '568A-221', 'order': 568, 'powers': [211, 319, 443, 7], 'representative': 347, 'size': 1}
-
id: 138747858
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 507, 'group_counter': 2, 'group_order': 568, 'label': '568A223', 'order': 568, 'powers': [210, 310, 430, 6], 'representative': 223, 'size': 1}
-
id: 138747859
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 508, 'group_counter': 2, 'group_order': 568, 'label': '568A-223', 'order': 568, 'powers': [209, 309, 429, 5], 'representative': 345, 'size': 1}
-
id: 138747860
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 509, 'group_counter': 2, 'group_order': 568, 'label': '568A225', 'order': 568, 'powers': [208, 300, 416, 5], 'representative': 225, 'size': 1}
-
id: 138747862
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 510, 'group_counter': 2, 'group_order': 568, 'label': '568A-225', 'order': 568, 'powers': [207, 299, 415, 6], 'representative': 343, 'size': 1}
-
id: 138747863
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 511, 'group_counter': 2, 'group_order': 568, 'label': '568A227', 'order': 568, 'powers': [206, 290, 402, 7], 'representative': 227, 'size': 1}
-
id: 138747864
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 512, 'group_counter': 2, 'group_order': 568, 'label': '568A-227', 'order': 568, 'powers': [205, 289, 401, 8], 'representative': 341, 'size': 1}
-
id: 138747865
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 513, 'group_counter': 2, 'group_order': 568, 'label': '568A229', 'order': 568, 'powers': [204, 297, 388, 8], 'representative': 229, 'size': 1}
-
id: 138747866
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 514, 'group_counter': 2, 'group_order': 568, 'label': '568A-229', 'order': 568, 'powers': [203, 298, 387, 7], 'representative': 339, 'size': 1}
-
id: 138747867
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 515, 'group_counter': 2, 'group_order': 568, 'label': '568A231', 'order': 568, 'powers': [202, 307, 374, 6], 'representative': 231, 'size': 1}
-
id: 138747868
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 516, 'group_counter': 2, 'group_order': 568, 'label': '568A-231', 'order': 568, 'powers': [201, 308, 373, 5], 'representative': 337, 'size': 1}
-
id: 138747869
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 517, 'group_counter': 2, 'group_order': 568, 'label': '568A233', 'order': 568, 'powers': [200, 317, 360, 5], 'representative': 233, 'size': 1}
-
id: 138747870
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 518, 'group_counter': 2, 'group_order': 568, 'label': '568A-233', 'order': 568, 'powers': [199, 318, 359, 6], 'representative': 335, 'size': 1}
-
id: 138747871
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 519, 'group_counter': 2, 'group_order': 568, 'label': '568A235', 'order': 568, 'powers': [198, 327, 348, 7], 'representative': 235, 'size': 1}
-
id: 138747873
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 520, 'group_counter': 2, 'group_order': 568, 'label': '568A-235', 'order': 568, 'powers': [197, 328, 347, 8], 'representative': 333, 'size': 1}
-
id: 138747874
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 521, 'group_counter': 2, 'group_order': 568, 'label': '568A237', 'order': 568, 'powers': [196, 337, 334, 8], 'representative': 237, 'size': 1}
-
id: 138747875
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 522, 'group_counter': 2, 'group_order': 568, 'label': '568A-237', 'order': 568, 'powers': [195, 338, 333, 7], 'representative': 331, 'size': 1}
-
id: 138747876
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 523, 'group_counter': 2, 'group_order': 568, 'label': '568A239', 'order': 568, 'powers': [194, 347, 320, 6], 'representative': 239, 'size': 1}
-
id: 138747877
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 524, 'group_counter': 2, 'group_order': 568, 'label': '568A-239', 'order': 568, 'powers': [193, 348, 319, 5], 'representative': 329, 'size': 1}
-
id: 138747878
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 525, 'group_counter': 2, 'group_order': 568, 'label': '568A241', 'order': 568, 'powers': [192, 357, 306, 5], 'representative': 241, 'size': 1}
-
id: 138747879
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 526, 'group_counter': 2, 'group_order': 568, 'label': '568A-241', 'order': 568, 'powers': [191, 358, 305, 6], 'representative': 327, 'size': 1}
-
id: 138747880
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 527, 'group_counter': 2, 'group_order': 568, 'label': '568A243', 'order': 568, 'powers': [190, 365, 292, 7], 'representative': 243, 'size': 1}
-
id: 138747881
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 528, 'group_counter': 2, 'group_order': 568, 'label': '568A-243', 'order': 568, 'powers': [189, 366, 291, 8], 'representative': 325, 'size': 1}
-
id: 138747882
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 529, 'group_counter': 2, 'group_order': 568, 'label': '568A245', 'order': 568, 'powers': [188, 375, 299, 8], 'representative': 245, 'size': 1}
-
id: 138747884
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 530, 'group_counter': 2, 'group_order': 568, 'label': '568A-245', 'order': 568, 'powers': [187, 376, 300, 7], 'representative': 323, 'size': 1}
-
id: 138747885
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 531, 'group_counter': 2, 'group_order': 568, 'label': '568A247', 'order': 568, 'powers': [186, 385, 313, 6], 'representative': 247, 'size': 1}
-
id: 138747886
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 532, 'group_counter': 2, 'group_order': 568, 'label': '568A-247', 'order': 568, 'powers': [185, 386, 314, 5], 'representative': 321, 'size': 1}
-
id: 138747887
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 533, 'group_counter': 2, 'group_order': 568, 'label': '568A249', 'order': 568, 'powers': [184, 395, 327, 5], 'representative': 249, 'size': 1}
-
id: 138747888
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 534, 'group_counter': 2, 'group_order': 568, 'label': '568A-249', 'order': 568, 'powers': [183, 396, 328, 6], 'representative': 319, 'size': 1}
-
id: 138747889
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 535, 'group_counter': 2, 'group_order': 568, 'label': '568A251', 'order': 568, 'powers': [182, 405, 341, 7], 'representative': 251, 'size': 1}
-
id: 138747890
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 536, 'group_counter': 2, 'group_order': 568, 'label': '568A-251', 'order': 568, 'powers': [181, 406, 342, 8], 'representative': 317, 'size': 1}
-
id: 138747891
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 537, 'group_counter': 2, 'group_order': 568, 'label': '568A253', 'order': 568, 'powers': [180, 415, 355, 8], 'representative': 253, 'size': 1}
-
id: 138747892
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 538, 'group_counter': 2, 'group_order': 568, 'label': '568A-253', 'order': 568, 'powers': [179, 416, 356, 7], 'representative': 315, 'size': 1}
-
id: 138747893
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 539, 'group_counter': 2, 'group_order': 568, 'label': '568A255', 'order': 568, 'powers': [178, 425, 367, 6], 'representative': 255, 'size': 1}
-
id: 138747895
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 540, 'group_counter': 2, 'group_order': 568, 'label': '568A-255', 'order': 568, 'powers': [177, 426, 368, 5], 'representative': 313, 'size': 1}
-
id: 138747896
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 541, 'group_counter': 2, 'group_order': 568, 'label': '568A257', 'order': 568, 'powers': [176, 435, 381, 5], 'representative': 257, 'size': 1}
-
id: 138747897
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 542, 'group_counter': 2, 'group_order': 568, 'label': '568A-257', 'order': 568, 'powers': [175, 436, 382, 6], 'representative': 311, 'size': 1}
-
id: 138747898
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 543, 'group_counter': 2, 'group_order': 568, 'label': '568A259', 'order': 568, 'powers': [174, 445, 395, 7], 'representative': 259, 'size': 1}
-
id: 138747899
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 544, 'group_counter': 2, 'group_order': 568, 'label': '568A-259', 'order': 568, 'powers': [173, 446, 396, 8], 'representative': 309, 'size': 1}
-
id: 138747900
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 545, 'group_counter': 2, 'group_order': 568, 'label': '568A261', 'order': 568, 'powers': [172, 455, 409, 8], 'representative': 261, 'size': 1}
-
id: 138747901
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 546, 'group_counter': 2, 'group_order': 568, 'label': '568A-261', 'order': 568, 'powers': [171, 456, 410, 7], 'representative': 307, 'size': 1}
-
id: 138747902
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 547, 'group_counter': 2, 'group_order': 568, 'label': '568A263', 'order': 568, 'powers': [170, 465, 423, 6], 'representative': 263, 'size': 1}
-
id: 138747903
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 548, 'group_counter': 2, 'group_order': 568, 'label': '568A-263', 'order': 568, 'powers': [169, 466, 424, 5], 'representative': 305, 'size': 1}
-
id: 138747904
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 549, 'group_counter': 2, 'group_order': 568, 'label': '568A265', 'order': 568, 'powers': [168, 475, 437, 5], 'representative': 265, 'size': 1}
-
id: 138747906
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 550, 'group_counter': 2, 'group_order': 568, 'label': '568A-265', 'order': 568, 'powers': [167, 476, 438, 6], 'representative': 303, 'size': 1}
-
id: 138747907
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 551, 'group_counter': 2, 'group_order': 568, 'label': '568A267', 'order': 568, 'powers': [166, 485, 451, 7], 'representative': 267, 'size': 1}
-
id: 138747908
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 552, 'group_counter': 2, 'group_order': 568, 'label': '568A-267', 'order': 568, 'powers': [165, 486, 452, 8], 'representative': 301, 'size': 1}
-
id: 138747909
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 553, 'group_counter': 2, 'group_order': 568, 'label': '568A269', 'order': 568, 'powers': [164, 495, 465, 8], 'representative': 269, 'size': 1}
-
id: 138747910
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 554, 'group_counter': 2, 'group_order': 568, 'label': '568A-269', 'order': 568, 'powers': [163, 496, 466, 7], 'representative': 299, 'size': 1}
-
id: 138747911
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 555, 'group_counter': 2, 'group_order': 568, 'label': '568A271', 'order': 568, 'powers': [162, 503, 479, 6], 'representative': 271, 'size': 1}
-
id: 138747912
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 556, 'group_counter': 2, 'group_order': 568, 'label': '568A-271', 'order': 568, 'powers': [161, 504, 480, 5], 'representative': 297, 'size': 1}
-
id: 138747913
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 557, 'group_counter': 2, 'group_order': 568, 'label': '568A273', 'order': 568, 'powers': [160, 513, 493, 5], 'representative': 273, 'size': 1}
-
id: 138747914
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 558, 'group_counter': 2, 'group_order': 568, 'label': '568A-273', 'order': 568, 'powers': [159, 514, 494, 6], 'representative': 295, 'size': 1}
-
id: 138747915
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 559, 'group_counter': 2, 'group_order': 568, 'label': '568A275', 'order': 568, 'powers': [158, 523, 505, 7], 'representative': 275, 'size': 1}
-
id: 138747917
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 560, 'group_counter': 2, 'group_order': 568, 'label': '568A-275', 'order': 568, 'powers': [157, 524, 506, 8], 'representative': 293, 'size': 1}
-
id: 138747918
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 561, 'group_counter': 2, 'group_order': 568, 'label': '568A277', 'order': 568, 'powers': [156, 533, 519, 8], 'representative': 277, 'size': 1}
-
id: 138747919
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 562, 'group_counter': 2, 'group_order': 568, 'label': '568A-277', 'order': 568, 'powers': [155, 534, 520, 7], 'representative': 291, 'size': 1}
-
id: 138747920
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 563, 'group_counter': 2, 'group_order': 568, 'label': '568A279', 'order': 568, 'powers': [154, 543, 533, 6], 'representative': 279, 'size': 1}
-
id: 138747921
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 564, 'group_counter': 2, 'group_order': 568, 'label': '568A-279', 'order': 568, 'powers': [153, 544, 534, 5], 'representative': 289, 'size': 1}
-
id: 138747922
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 565, 'group_counter': 2, 'group_order': 568, 'label': '568A281', 'order': 568, 'powers': [152, 553, 547, 5], 'representative': 281, 'size': 1}
-
id: 138747923
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 566, 'group_counter': 2, 'group_order': 568, 'label': '568A-281', 'order': 568, 'powers': [151, 554, 548, 6], 'representative': 287, 'size': 1}
-
id: 138747924
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 567, 'group_counter': 2, 'group_order': 568, 'label': '568A283', 'order': 568, 'powers': [150, 563, 561, 7], 'representative': 283, 'size': 1}
-
id: 138747925
{'aut_label': '568A1', 'centralizer': '1.a1.a1', 'counter': 568, 'group_counter': 2, 'group_order': 568, 'label': '568A-283', 'order': 568, 'powers': [149, 564, 562, 8], 'representative': 285, 'size': 1}
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gps_qchar • Show schema
Hide schema
-
id: 12305881
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '568.2', 'group_order': 568, 'image': None, 'label': '568.2.1a', '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 12305882
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '568.2', 'group_order': 568, 'image': None, 'label': '568.2.1b', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 12305883
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id: 12305888
{'cdim': 1, 'counter': 8, 'faithful': True, 'group': '568.2', 'group_order': 568, 'image': None, 'label': '568.2.1h', 'multiplicity': 280, 'nt': [568, 0], 'qdim': 280, 'qvalues': [280, -280, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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group 568.2 does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 108154976
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '568.2', 'ambient_counter': 2, 'ambient_order': 568, 'ambient_tex': 'C_{568}', 'central': True, 'central_factor': False, 'centralizer_order': 568, 'characteristic': True, 'core_order': 568, 'counter': 1, 'cyclic': True, 'direct': True, 'hall': 142, 'label': '568.2.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '568.2', 'subgroup_hash': 2, 'subgroup_order': 568, 'subgroup_tex': 'C_{568}', 'supersolvable': True, 'sylow': 0}
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id: 108154977
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '568.2', 'ambient_counter': 2, 'ambient_order': 568, 'ambient_tex': 'C_{568}', 'central': True, 'central_factor': False, 'centralizer_order': 568, 'characteristic': True, 'core_order': 284, 'counter': 2, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '568.2.2.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': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '284.2', 'subgroup_hash': 2, 'subgroup_order': 284, 'subgroup_tex': 'C_{284}', 'supersolvable': True, 'sylow': 0}
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id: 108154978
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '568.2', 'ambient_counter': 2, 'ambient_order': 568, 'ambient_tex': 'C_{568}', 'central': True, 'central_factor': False, 'centralizer_order': 568, 'characteristic': True, 'core_order': 142, 'counter': 3, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '568.2.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '142.2', 'subgroup_hash': 2, 'subgroup_order': 142, 'subgroup_tex': 'C_{142}', 'supersolvable': True, 'sylow': 0}
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id: 108154979
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '568.2', 'ambient_counter': 2, 'ambient_order': 568, 'ambient_tex': 'C_{568}', 'central': True, 'central_factor': False, 'centralizer_order': 568, 'characteristic': True, 'core_order': 71, 'counter': 4, 'cyclic': True, 'direct': True, 'hall': 71, 'label': '568.2.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': True, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '71.1', 'subgroup_hash': 1, 'subgroup_order': 71, 'subgroup_tex': 'C_{71}', 'supersolvable': True, 'sylow': 71}
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id: 108154980
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '568.2', 'ambient_counter': 2, 'ambient_order': 568, 'ambient_tex': 'C_{568}', 'central': True, 'central_factor': False, 'centralizer_order': 568, 'characteristic': True, 'core_order': 8, 'counter': 5, 'cyclic': True, 'direct': True, 'hall': 2, 'label': '568.2.71.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '71.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '71.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 71, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{71}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 2}
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id: 108154981
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '568.2', 'ambient_counter': 2, 'ambient_order': 568, 'ambient_tex': 'C_{568}', 'central': True, 'central_factor': False, 'centralizer_order': 568, 'characteristic': True, 'core_order': 4, 'counter': 6, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '568.2.142.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '142.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '142.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 142, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{142}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 108154982
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '568.2', 'ambient_counter': 2, 'ambient_order': 568, 'ambient_tex': 'C_{568}', 'central': True, 'central_factor': False, 'centralizer_order': 568, 'characteristic': True, 'core_order': 2, 'counter': 7, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '568.2.284.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '284.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '284.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 284, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{284}', '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: 108154983
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '568.2', 'ambient_counter': 2, 'ambient_order': 568, 'ambient_tex': 'C_{568}', 'central': True, 'central_factor': False, 'centralizer_order': 568, 'characteristic': True, 'core_order': 1, 'counter': 8, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '568.2.568.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '568.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '568.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 568, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{568}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'PC', 'U1', 'L1', 'D1', 'C4'], '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: 108154980
{'ambient': '568.2', 'aut_centralizer_order': 70, 'aut_label': '71.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 70, 'centralizer': '1.a1.a1', 'complements': ['8.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['142.a1.a1'], 'core': '71.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1238, 1238, 8505, 8505, 1782, 1782, 8218, 8218], 'generators': [71], 'label': '568.2.71.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '71.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['142.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '71.a1.a1', 'projective_image': '71.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '71.1', 'quotient_action_kernel_order': 71, 'quotient_fusion': None, 'short_label': '71.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 108154976
{'ambient': '568.2', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['568.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '71.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2798, 2798, 7521, 7521, 4554, 4554, 5379, 5379], 'generators': [71, 8, 284, 142], 'label': '568.2.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '71.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '1.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 108154977
{'ambient': '568.2', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '140.11', 'aut_weyl_index': 2, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '142.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4358, 4358, 5598, 5598, 7393, 7393, 2607, 2607], 'generators': [142, 8, 284], 'label': '568.2.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '142.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 108154978
{'ambient': '568.2', 'aut_centralizer_order': 4, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '70.4', 'aut_weyl_index': 4, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '284.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6881, 6881, 3248, 3248, 7393, 7393, 2607, 2607], 'generators': [284, 8], 'label': '568.2.4.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '284.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 108154979
{'ambient': '568.2', 'aut_centralizer_order': 4, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '70.4', 'aut_weyl_index': 4, 'centralizer': '1.a1.a1', 'complements': ['71.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['568.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8762, 8762, 1495, 1495, 7393, 7393, 2607, 2607], 'generators': [8], 'label': '568.2.8.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['568.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 108154981
{'ambient': '568.2', 'aut_centralizer_order': 140, 'aut_label': '142.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 140, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '71.a1.a1'], 'contains': ['284.a1.a1'], 'core': '142.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3349, 3349, 6539, 6539, 1782, 1782, 8218, 8218], 'generators': [142], 'label': '568.2.142.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '142.a1.a1', 'normal_contained_in': ['2.a1.a1', '71.a1.a1'], 'normal_contains': ['284.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '142.a1.a1', 'projective_image': '142.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '142.2', 'quotient_action_kernel_order': 142, 'quotient_fusion': None, 'short_label': '142.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 108154982
{'ambient': '568.2', 'aut_centralizer_order': 280, 'aut_label': '284.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 280, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '142.a1.a1'], 'contains': ['568.a1.a1'], 'core': '284.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5872, 5872, 4188, 4188, 2112, 2112, 7888, 7888], 'generators': [284], 'label': '568.2.284.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '284.a1.a1', 'normal_contained_in': ['4.a1.a1', '142.a1.a1'], 'normal_contains': ['568.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '284.a1.a1', 'projective_image': '284.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '284.2', 'quotient_action_kernel_order': 284, 'quotient_fusion': None, 'short_label': '284.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 108154983
{'ambient': '568.2', 'aut_centralizer_order': None, 'aut_label': '568.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': ['8.a1.a1', '284.a1.a1'], 'contains': [], 'core': '568.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7248, 7248, 2949, 2949, 4752, 4752, 5248, 5248], 'generators': [], 'label': '568.2.568.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '568.a1.a1', 'normal_contained_in': ['8.a1.a1', '284.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '568.a1.a1', 'projective_image': '568.2', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '568.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}