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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': True, 'abelian': False, 'abelian_quotient': '50.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 44220, 'aut_gen_orders': [220, 660, 220], 'aut_gens': [[1, 2], [2251, 676], [2751, 856], [3101, 1846]], 'aut_group': None, 'aut_hash': 6780899570893021847, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 88440, 'aut_permdeg': 87, 'aut_perms': [2084488259477046341901079951062290200868535619900978037546782806083046745418757933813639538218962028014616413304281484960107413869720, 229666474885379604773666975652138899702492345698021287431819094151640552926481415877558422649024709256847525541325098545677387835282, 43544394585173178647751495533687464478783039407198596723329727179970430613129210462017122383233821720846249637239714443626139757719], 'aut_phi_ratio': 67.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 67, 1, 1], [5, 1, 4, 1], [10, 67, 4, 1], [25, 1, 20, 1], [50, 67, 20, 1], [67, 2, 33, 1], [335, 2, 132, 1], [1675, 2, 660, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{67}:(C_2\\times C_{660})', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 20, 'autcent_group': '20.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 20, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_{20}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 4422, 'autcentquo_group': '4422.h', 'autcentquo_hash': 18, 'autcentquo_nilpotent': False, 'autcentquo_order': 4422, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{67}', 'cc_stats': [[1, 1, 1], [2, 67, 1], [5, 1, 4], [10, 67, 4], [25, 1, 20], [50, 67, 20], [67, 2, 33], [335, 2, 132], [1675, 2, 660]], 'center_label': '25.1', 'center_order': 25, 'central_product': True, 'central_quotient': '134.1', 'commutator_count': 1, 'commutator_label': '67.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '5.1', '5.1', '67.1'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 2, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['134.1', 1], ['25.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 67, 1, 1], [5, 1, 4, 1], [10, 67, 4, 1], [25, 1, 20, 1], [50, 67, 20, 1], [67, 2, 33, 1], [335, 2, 132, 1], [1675, 2, 660, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 90, 'exponent': 3350, 'exponents_of_order': [2, 1, 1], 'factors_of_aut_order': [2, 3, 5, 11, 67], 'factors_of_order': [2, 5, 67], 'faithful_reps': [[2, 0, 660]], 'familial': False, 'frattini_label': '5.1', 'frattini_quotient': '670.2', 'hash': 3, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 134, 'inner_gen_orders': [2, 67], 'inner_gens': [[1, 802], [2551, 2]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 134, 'inner_split': True, 'inner_tex': 'D_{67}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 1320, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 50], [2, 825]], 'label': '3350.b', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C25*D67', 'ngens': 4, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 9, 'number_characteristic_subgroups': 9, 'number_conjugacy_classes': 875, 'number_divisions': 9, 'number_normal_subgroups': 9, 'number_subgroup_autclasses': 12, 'number_subgroup_classes': 12, 'number_subgroups': 210, 'old_label': None, 'order': 3350, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 67], [5, 4], [10, 268], [25, 20], [50, 1340], [67, 66], [335, 264], [1675, 1320]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 660, 'outer_gen_orders': [660], 'outer_gen_pows': [0], 'outer_gens': [[1, 766]], 'outer_group': '660.12', 'outer_hash': 12, 'outer_nilpotent': True, 'outer_order': 660, 'outer_permdeg': 23, 'outer_perms': [1177531331501173824000], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_{660}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 92, 'pgroup': 0, 'primary_abelian_invariants': [2, 25], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 2], [4, 2], [20, 2], [66, 1], [264, 1], [1320, 1]], 'representations': {'PC': {'code': '79536087708485495362897907', 'gens': [1, 2], 'pres': [4, -2, -5, -5, -67, 6417, 45, 7922, 70, 52803]}, 'GLFp': {'d': 2, 'p': 401, 'gens': [25792480401, 20870847724]}, 'Perm': {'d': 92, 'gens': [1485901471354428994991849749996436277377831632241030554557668671637522495220063641801813988658053886388156583094490795369596159131648000000, 138171955710549154245150268259488014702342529741388738900857071940428715762000122049288911932066557200527481502956586491278065712627712000000, 674561400255686062120503, 1322039471725515424513396]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [50], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{25}\\times D_{67}', 'transitive_degree': 1675, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 20974869
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 2, 'group_order': 3350, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1, 1], 'representative': 0, 'size': 1}
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id: 20974980
{'aut_label': '2A', 'centralizer': '67.a1.a1', 'counter': 2, 'group_counter': 2, 'group_order': 3350, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2, 2], 'representative': 3301, 'size': 67}
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id: 20975091
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 2, 'group_order': 3350, 'label': '5A1', 'order': 5, 'powers': [5, 6, 1, 3, 5], 'representative': 670, 'size': 1}
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id: 20975202
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 2, 'group_order': 3350, 'label': '5A-1', 'order': 5, 'powers': [6, 5, 1, 4, 6], 'representative': 2680, 'size': 1}
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id: 20975313
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 2, 'group_order': 3350, 'label': '5A2', 'order': 5, 'powers': [4, 3, 1, 5, 4], 'representative': 1340, 'size': 1}
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id: 20975424
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 2, 'group_order': 3350, 'label': '5A-2', 'order': 5, 'powers': [3, 4, 1, 6, 3], 'representative': 2010, 'size': 1}
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id: 20975535
{'aut_label': '10A1', 'centralizer': '67.a1.a1', 'counter': 7, 'group_counter': 2, 'group_order': 3350, 'label': '10A1', 'order': 10, 'powers': [5, 9, 2, 7, 10], 'representative': 621, 'size': 67}
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id: 20975646
{'aut_label': '10A1', 'centralizer': '67.a1.a1', 'counter': 8, 'group_counter': 2, 'group_order': 3350, 'label': '10A-1', 'order': 10, 'powers': [6, 10, 2, 8, 9], 'representative': 2631, 'size': 67}
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id: 20975733
{'aut_label': '10A1', 'centralizer': '67.a1.a1', 'counter': 9, 'group_counter': 2, 'group_order': 3350, 'label': '10A3', 'order': 10, 'powers': [3, 8, 2, 9, 7], 'representative': 1961, 'size': 67}
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id: 20974870
{'aut_label': '10A1', 'centralizer': '67.a1.a1', 'counter': 10, 'group_counter': 2, 'group_order': 3350, 'label': '10A-3', 'order': 10, 'powers': [4, 7, 2, 10, 8], 'representative': 1291, 'size': 67}
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id: 20974881
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 2, 'group_order': 3350, 'label': '25A1', 'order': 25, 'powers': [13, 15, 3, 27, 24], 'representative': 134, 'size': 1}
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id: 20974892
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 2, 'group_order': 3350, 'label': '25A-1', 'order': 25, 'powers': [14, 16, 4, 28, 23], 'representative': 3216, 'size': 1}
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id: 20974903
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 2, 'group_order': 3350, 'label': '25A2', 'order': 25, 'powers': [17, 19, 5, 16, 25], 'representative': 268, 'size': 1}
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id: 20974914
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 2, 'group_order': 3350, 'label': '25A-2', 'order': 25, 'powers': [18, 20, 6, 15, 26], 'representative': 3082, 'size': 1}
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id: 20974925
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 2, 'group_order': 3350, 'label': '25A3', 'order': 25, 'powers': [19, 25, 6, 23, 11], 'representative': 402, 'size': 1}
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id: 20974936
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 2, 'group_order': 3350, 'label': '25A-3', 'order': 25, 'powers': [20, 26, 5, 24, 12], 'representative': 2948, 'size': 1}
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id: 20974947
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 2, 'group_order': 3350, 'label': '25A4', 'order': 25, 'powers': [23, 29, 4, 20, 22], 'representative': 536, 'size': 1}
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id: 20974958
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 2, 'group_order': 3350, 'label': '25A-4', 'order': 25, 'powers': [24, 30, 3, 19, 21], 'representative': 2814, 'size': 1}
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id: 20974969
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 2, 'group_order': 3350, 'label': '25A6', 'order': 25, 'powers': [29, 22, 3, 26, 13], 'representative': 804, 'size': 1}
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id: 20974981
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 2, 'group_order': 3350, 'label': '25A-6', 'order': 25, 'powers': [30, 21, 4, 25, 14], 'representative': 2546, 'size': 1}
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id: 20974992
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 2, 'group_order': 3350, 'label': '25A7', 'order': 25, 'powers': [28, 18, 5, 13, 20], 'representative': 938, 'size': 1}
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id: 20975003
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 2, 'group_order': 3350, 'label': '25A-7', 'order': 25, 'powers': [27, 17, 6, 14, 19], 'representative': 2412, 'size': 1}
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id: 20975014
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 2, 'group_order': 3350, 'label': '25A8', 'order': 25, 'powers': [26, 12, 6, 30, 27], 'representative': 1072, 'size': 1}
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id: 20975025
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 2, 'group_order': 3350, 'label': '25A-8', 'order': 25, 'powers': [25, 11, 5, 29, 28], 'representative': 2278, 'size': 1}
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id: 20975036
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 2, 'group_order': 3350, 'label': '25A9', 'order': 25, 'powers': [22, 13, 4, 12, 15], 'representative': 1206, 'size': 1}
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id: 20975047
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 2, 'group_order': 3350, 'label': '25A-9', 'order': 25, 'powers': [21, 14, 3, 11, 16], 'representative': 2144, 'size': 1}
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id: 20975058
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 2, 'group_order': 3350, 'label': '25A11', 'order': 25, 'powers': [16, 23, 3, 18, 29], 'representative': 1474, 'size': 1}
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id: 20975069
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 2, 'group_order': 3350, 'label': '25A-11', 'order': 25, 'powers': [15, 24, 4, 17, 30], 'representative': 1876, 'size': 1}
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id: 20975080
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 2, 'group_order': 3350, 'label': '25A12', 'order': 25, 'powers': [12, 27, 5, 21, 17], 'representative': 1608, 'size': 1}
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id: 20975092
{'aut_label': '25A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 2, 'group_order': 3350, 'label': '25A-12', 'order': 25, 'powers': [11, 28, 6, 22, 18], 'representative': 1742, 'size': 1}
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id: 20975103
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 31, 'group_counter': 2, 'group_order': 3350, 'label': '50A1', 'order': 50, 'powers': [21, 33, 7, 39, 43], 'representative': 2095, 'size': 67}
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id: 20975114
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 32, 'group_counter': 2, 'group_order': 3350, 'label': '50A-1', 'order': 50, 'powers': [22, 34, 8, 40, 44], 'representative': 1157, 'size': 67}
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id: 20975125
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 33, 'group_counter': 2, 'group_order': 3350, 'label': '50A3', 'order': 50, 'powers': [18, 37, 9, 44, 31], 'representative': 3033, 'size': 67}
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id: 20975136
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 34, 'group_counter': 2, 'group_order': 3350, 'label': '50A-3', 'order': 50, 'powers': [17, 38, 10, 43, 32], 'representative': 219, 'size': 67}
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id: 20975147
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 35, 'group_counter': 2, 'group_order': 3350, 'label': '50A7', 'order': 50, 'powers': [12, 47, 10, 50, 45], 'representative': 1559, 'size': 67}
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id: 20975158
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 36, 'group_counter': 2, 'group_order': 3350, 'label': '50A-7', 'order': 50, 'powers': [11, 48, 9, 49, 46], 'representative': 1693, 'size': 67}
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id: 20975169
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 37, 'group_counter': 2, 'group_order': 3350, 'label': '50A9', 'order': 50, 'powers': [30, 50, 8, 32, 33], 'representative': 2497, 'size': 67}
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id: 20975180
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 38, 'group_counter': 2, 'group_order': 3350, 'label': '50A-9', 'order': 50, 'powers': [29, 49, 7, 31, 34], 'representative': 755, 'size': 67}
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id: 20975191
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 39, 'group_counter': 2, 'group_order': 3350, 'label': '50A11', 'order': 50, 'powers': [13, 44, 7, 47, 42], 'representative': 85, 'size': 67}
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id: 20975203
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 40, 'group_counter': 2, 'group_order': 3350, 'label': '50A-11', 'order': 50, 'powers': [14, 43, 8, 48, 41], 'representative': 3167, 'size': 67}
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id: 20975214
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 41, 'group_counter': 2, 'group_order': 3350, 'label': '50A13', 'order': 50, 'powers': [26, 40, 9, 36, 47], 'representative': 1023, 'size': 67}
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id: 20975225
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 42, 'group_counter': 2, 'group_order': 3350, 'label': '50A-13', 'order': 50, 'powers': [25, 39, 10, 35, 48], 'representative': 2229, 'size': 67}
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id: 20975236
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 43, 'group_counter': 2, 'group_order': 3350, 'label': '50A17', 'order': 50, 'powers': [20, 31, 10, 42, 40], 'representative': 2899, 'size': 67}
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id: 20975247
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 44, 'group_counter': 2, 'group_order': 3350, 'label': '50A-17', 'order': 50, 'powers': [19, 32, 9, 41, 39], 'representative': 353, 'size': 67}
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id: 20975258
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 45, 'group_counter': 2, 'group_order': 3350, 'label': '50A19', 'order': 50, 'powers': [23, 35, 8, 37, 49], 'representative': 487, 'size': 67}
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id: 20975269
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 46, 'group_counter': 2, 'group_order': 3350, 'label': '50A-19', 'order': 50, 'powers': [24, 36, 7, 38, 50], 'representative': 2765, 'size': 67}
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id: 20975280
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 47, 'group_counter': 2, 'group_order': 3350, 'label': '50A21', 'order': 50, 'powers': [16, 41, 7, 46, 35], 'representative': 1425, 'size': 67}
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id: 20975291
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 48, 'group_counter': 2, 'group_order': 3350, 'label': '50A-21', 'order': 50, 'powers': [15, 42, 8, 45, 36], 'representative': 1827, 'size': 67}
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id: 20975302
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 49, 'group_counter': 2, 'group_order': 3350, 'label': '50A23', 'order': 50, 'powers': [27, 45, 9, 33, 38], 'representative': 2363, 'size': 67}
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id: 20975314
{'aut_label': '50A1', 'centralizer': '67.a1.a1', 'counter': 50, 'group_counter': 2, 'group_order': 3350, 'label': '50A-23', 'order': 50, 'powers': [28, 46, 10, 34, 37], 'representative': 889, 'size': 67}
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id: 20975325
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 2, 'group_order': 3350, 'label': '67A1', 'order': 67, 'powers': [52, 53, 55, 61, 1], 'representative': 50, 'size': 2}
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id: 20975336
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 2, 'group_order': 3350, 'label': '67A2', 'order': 67, 'powers': [54, 56, 60, 72, 1], 'representative': 100, 'size': 2}
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id: 20975347
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 2, 'group_order': 3350, 'label': '67A3', 'order': 67, 'powers': [56, 59, 65, 83, 1], 'representative': 150, 'size': 2}
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id: 20975358
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 2, 'group_order': 3350, 'label': '67A4', 'order': 67, 'powers': [58, 62, 70, 73, 1], 'representative': 200, 'size': 2}
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id: 20975369
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 55, 'group_counter': 2, 'group_order': 3350, 'label': '67A5', 'order': 67, 'powers': [60, 65, 75, 62, 1], 'representative': 250, 'size': 2}
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id: 20975380
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 56, 'group_counter': 2, 'group_order': 3350, 'label': '67A6', 'order': 67, 'powers': [62, 68, 80, 51, 1], 'representative': 300, 'size': 2}
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id: 20975391
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 2, 'group_order': 3350, 'label': '67A7', 'order': 67, 'powers': [64, 71, 82, 60, 1], 'representative': 350, 'size': 2}
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id: 20975402
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 2, 'group_order': 3350, 'label': '67A8', 'order': 67, 'powers': [66, 74, 77, 71, 1], 'representative': 400, 'size': 2}
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id: 20975413
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 2, 'group_order': 3350, 'label': '67A9', 'order': 67, 'powers': [68, 77, 72, 82, 1], 'representative': 450, 'size': 2}
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id: 20975425
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 2, 'group_order': 3350, 'label': '67A10', 'order': 67, 'powers': [70, 80, 67, 74, 1], 'representative': 500, 'size': 2}
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id: 20975436
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 2, 'group_order': 3350, 'label': '67A11', 'order': 67, 'powers': [72, 83, 62, 63, 1], 'representative': 550, 'size': 2}
-
id: 20975447
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 2, 'group_order': 3350, 'label': '67A12', 'order': 67, 'powers': [74, 81, 57, 52, 1], 'representative': 600, 'size': 2}
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id: 20975458
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 2, 'group_order': 3350, 'label': '67A13', 'order': 67, 'powers': [76, 78, 52, 59, 1], 'representative': 650, 'size': 2}
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id: 20975469
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 2, 'group_order': 3350, 'label': '67A14', 'order': 67, 'powers': [78, 75, 53, 70, 1], 'representative': 700, 'size': 2}
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id: 20975480
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 2, 'group_order': 3350, 'label': '67A15', 'order': 67, 'powers': [80, 72, 58, 81, 1], 'representative': 750, 'size': 2}
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id: 20975491
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 2, 'group_order': 3350, 'label': '67A16', 'order': 67, 'powers': [82, 69, 63, 75, 1], 'representative': 800, 'size': 2}
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id: 20975502
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 2, 'group_order': 3350, 'label': '67A17', 'order': 67, 'powers': [83, 66, 68, 64, 1], 'representative': 850, 'size': 2}
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id: 20975513
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 2, 'group_order': 3350, 'label': '67A18', 'order': 67, 'powers': [81, 63, 73, 53, 1], 'representative': 900, 'size': 2}
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id: 20975524
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 2, 'group_order': 3350, 'label': '67A19', 'order': 67, 'powers': [79, 60, 78, 58, 1], 'representative': 950, 'size': 2}
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id: 20975536
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 2, 'group_order': 3350, 'label': '67A20', 'order': 67, 'powers': [77, 57, 83, 69, 1], 'representative': 1000, 'size': 2}
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id: 20975547
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 2, 'group_order': 3350, 'label': '67A21', 'order': 67, 'powers': [75, 54, 79, 80, 1], 'representative': 1050, 'size': 2}
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id: 20975558
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 2, 'group_order': 3350, 'label': '67A22', 'order': 67, 'powers': [73, 51, 74, 76, 1], 'representative': 1100, 'size': 2}
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id: 20975569
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 73, 'group_counter': 2, 'group_order': 3350, 'label': '67A23', 'order': 67, 'powers': [71, 52, 69, 65, 1], 'representative': 1150, 'size': 2}
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id: 20975580
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 74, 'group_counter': 2, 'group_order': 3350, 'label': '67A24', 'order': 67, 'powers': [69, 55, 64, 54, 1], 'representative': 1200, 'size': 2}
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id: 20975591
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 2, 'group_order': 3350, 'label': '67A25', 'order': 67, 'powers': [67, 58, 59, 57, 1], 'representative': 1250, 'size': 2}
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id: 20975602
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 2, 'group_order': 3350, 'label': '67A26', 'order': 67, 'powers': [65, 61, 54, 68, 1], 'representative': 1300, 'size': 2}
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id: 20975613
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 2, 'group_order': 3350, 'label': '67A27', 'order': 67, 'powers': [63, 64, 51, 79, 1], 'representative': 1350, 'size': 2}
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id: 20975624
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 2, 'group_order': 3350, 'label': '67A28', 'order': 67, 'powers': [61, 67, 56, 77, 1], 'representative': 1400, 'size': 2}
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id: 20975635
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 79, 'group_counter': 2, 'group_order': 3350, 'label': '67A29', 'order': 67, 'powers': [59, 70, 61, 66, 1], 'representative': 1450, 'size': 2}
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id: 20975647
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 80, 'group_counter': 2, 'group_order': 3350, 'label': '67A30', 'order': 67, 'powers': [57, 73, 66, 55, 1], 'representative': 1500, 'size': 2}
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id: 20975658
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 2, 'group_order': 3350, 'label': '67A31', 'order': 67, 'powers': [55, 76, 71, 56, 1], 'representative': 1550, 'size': 2}
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id: 20975669
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 2, 'group_order': 3350, 'label': '67A32', 'order': 67, 'powers': [53, 79, 76, 67, 1], 'representative': 1600, 'size': 2}
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id: 20975680
{'aut_label': '67A1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 2, 'group_order': 3350, 'label': '67A33', 'order': 67, 'powers': [51, 82, 81, 78, 1], 'representative': 1650, 'size': 2}
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id: 20975691
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 2, 'group_order': 3350, 'label': '335A1', 'order': 335, 'powers': [86, 88, 51, 100, 3], 'representative': 10, 'size': 2}
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id: 20975702
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 2, 'group_order': 3350, 'label': '335A-1', 'order': 335, 'powers': [87, 89, 51, 101, 4], 'representative': 3340, 'size': 2}
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id: 20975713
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 2, 'group_order': 3350, 'label': '335A2', 'order': 335, 'powers': [90, 92, 52, 118, 5], 'representative': 20, 'size': 2}
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id: 20975724
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 2, 'group_order': 3350, 'label': '335A-2', 'order': 335, 'powers': [91, 93, 52, 119, 6], 'representative': 3330, 'size': 2}
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id: 20975731
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 2, 'group_order': 3350, 'label': '335A3', 'order': 335, 'powers': [92, 98, 53, 136, 6], 'representative': 30, 'size': 2}
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id: 20975732
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 2, 'group_order': 3350, 'label': '335A-3', 'order': 335, 'powers': [93, 99, 53, 137, 5], 'representative': 3320, 'size': 2}
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id: 20975734
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 2, 'group_order': 3350, 'label': '335A4', 'order': 335, 'powers': [96, 102, 54, 150, 4], 'representative': 40, 'size': 2}
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id: 20975735
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 2, 'group_order': 3350, 'label': '335A-4', 'order': 335, 'powers': [97, 103, 54, 151, 3], 'representative': 3310, 'size': 2}
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id: 20975736
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 2, 'group_order': 3350, 'label': '335A6', 'order': 335, 'powers': [102, 112, 56, 84, 3], 'representative': 60, 'size': 2}
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id: 20975737
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 2, 'group_order': 3350, 'label': '335A-6', 'order': 335, 'powers': [103, 113, 56, 85, 4], 'representative': 3290, 'size': 2}
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id: 20975738
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 2, 'group_order': 3350, 'label': '335A7', 'order': 335, 'powers': [106, 116, 57, 164, 5], 'representative': 70, 'size': 2}
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id: 20975739
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 2, 'group_order': 3350, 'label': '335A-7', 'order': 335, 'powers': [107, 117, 57, 165, 6], 'representative': 3280, 'size': 2}
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id: 20975740
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 2, 'group_order': 3350, 'label': '335A8', 'order': 335, 'powers': [108, 122, 58, 192, 6], 'representative': 80, 'size': 2}
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id: 20975741
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 97, 'group_counter': 2, 'group_order': 3350, 'label': '335A-8', 'order': 335, 'powers': [109, 123, 58, 193, 5], 'representative': 3270, 'size': 2}
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id: 20975742
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 98, 'group_counter': 2, 'group_order': 3350, 'label': '335A9', 'order': 335, 'powers': [112, 126, 59, 202, 4], 'representative': 90, 'size': 2}
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id: 20975743
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 99, 'group_counter': 2, 'group_order': 3350, 'label': '335A-9', 'order': 335, 'powers': [113, 127, 59, 203, 3], 'representative': 3260, 'size': 2}
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id: 20974871
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 100, 'group_counter': 2, 'group_order': 3350, 'label': '335A11', 'order': 335, 'powers': [118, 136, 61, 163, 3], 'representative': 110, 'size': 2}
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id: 20974872
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 101, 'group_counter': 2, 'group_order': 3350, 'label': '335A-11', 'order': 335, 'powers': [119, 137, 61, 162, 4], 'representative': 3240, 'size': 2}
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id: 20974873
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 102, 'group_counter': 2, 'group_order': 3350, 'label': '335A12', 'order': 335, 'powers': [122, 132, 62, 86, 5], 'representative': 120, 'size': 2}
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id: 20974874
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 103, 'group_counter': 2, 'group_order': 3350, 'label': '335A-12', 'order': 335, 'powers': [123, 133, 62, 87, 6], 'representative': 3230, 'size': 2}
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id: 20974875
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 104, 'group_counter': 2, 'group_order': 3350, 'label': '335A13', 'order': 335, 'powers': [124, 144, 63, 166, 6], 'representative': 130, 'size': 2}
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id: 20974876
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 105, 'group_counter': 2, 'group_order': 3350, 'label': '335A-13', 'order': 335, 'powers': [125, 145, 63, 167, 5], 'representative': 3220, 'size': 2}
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id: 20974877
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 106, 'group_counter': 2, 'group_order': 3350, 'label': '335A14', 'order': 335, 'powers': [128, 146, 64, 208, 4], 'representative': 140, 'size': 2}
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id: 20974878
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 107, 'group_counter': 2, 'group_order': 3350, 'label': '335A-14', 'order': 335, 'powers': [129, 147, 64, 209, 3], 'representative': 3210, 'size': 2}
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id: 20974879
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 108, 'group_counter': 2, 'group_order': 3350, 'label': '335A16', 'order': 335, 'powers': [134, 154, 66, 207, 3], 'representative': 160, 'size': 2}
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id: 20974880
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 109, 'group_counter': 2, 'group_order': 3350, 'label': '335A-16', 'order': 335, 'powers': [135, 155, 66, 206, 4], 'representative': 3190, 'size': 2}
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id: 20974882
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 110, 'group_counter': 2, 'group_order': 3350, 'label': '335A17', 'order': 335, 'powers': [138, 108, 67, 161, 5], 'representative': 170, 'size': 2}
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id: 20974883
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 111, 'group_counter': 2, 'group_order': 3350, 'label': '335A-17', 'order': 335, 'powers': [139, 109, 67, 160, 6], 'representative': 3180, 'size': 2}
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id: 20974884
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 112, 'group_counter': 2, 'group_order': 3350, 'label': '335A18', 'order': 335, 'powers': [132, 162, 68, 88, 6], 'representative': 180, 'size': 2}
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id: 20974885
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 113, 'group_counter': 2, 'group_order': 3350, 'label': '335A-18', 'order': 335, 'powers': [133, 163, 68, 89, 5], 'representative': 3170, 'size': 2}
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id: 20974886
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 114, 'group_counter': 2, 'group_order': 3350, 'label': '335A19', 'order': 335, 'powers': [142, 164, 69, 168, 4], 'representative': 190, 'size': 2}
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id: 20974887
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 115, 'group_counter': 2, 'group_order': 3350, 'label': '335A-19', 'order': 335, 'powers': [143, 165, 69, 169, 3], 'representative': 3160, 'size': 2}
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id: 20974888
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 116, 'group_counter': 2, 'group_order': 3350, 'label': '335A21', 'order': 335, 'powers': [146, 172, 71, 205, 3], 'representative': 210, 'size': 2}
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id: 20974889
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 117, 'group_counter': 2, 'group_order': 3350, 'label': '335A-21', 'order': 335, 'powers': [147, 173, 71, 204, 4], 'representative': 3140, 'size': 2}
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id: 20974890
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 118, 'group_counter': 2, 'group_order': 3350, 'label': '335A22', 'order': 335, 'powers': [150, 84, 72, 197, 5], 'representative': 220, 'size': 2}
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id: 20974891
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 119, 'group_counter': 2, 'group_order': 3350, 'label': '335A-22', 'order': 335, 'powers': [151, 85, 72, 196, 6], 'representative': 3130, 'size': 2}
-
id: 20974893
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 120, 'group_counter': 2, 'group_order': 3350, 'label': '335A23', 'order': 335, 'powers': [116, 178, 73, 159, 6], 'representative': 230, 'size': 2}
-
id: 20974894
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 121, 'group_counter': 2, 'group_order': 3350, 'label': '335A-23', 'order': 335, 'powers': [117, 179, 73, 158, 5], 'representative': 3120, 'size': 2}
-
id: 20974895
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 122, 'group_counter': 2, 'group_order': 3350, 'label': '335A24', 'order': 335, 'powers': [154, 170, 74, 90, 4], 'representative': 240, 'size': 2}
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id: 20974896
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 123, 'group_counter': 2, 'group_order': 3350, 'label': '335A-24', 'order': 335, 'powers': [155, 171, 74, 91, 3], 'representative': 3110, 'size': 2}
-
id: 20974897
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 124, 'group_counter': 2, 'group_order': 3350, 'label': '335A26', 'order': 335, 'powers': [158, 184, 76, 157, 3], 'representative': 260, 'size': 2}
-
id: 20974898
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 125, 'group_counter': 2, 'group_order': 3350, 'label': '335A-26', 'order': 335, 'powers': [159, 185, 76, 156, 4], 'representative': 3090, 'size': 2}
-
id: 20974899
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 126, 'group_counter': 2, 'group_order': 3350, 'label': '335A27', 'order': 335, 'powers': [162, 107, 77, 143, 5], 'representative': 270, 'size': 2}
-
id: 20974900
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 127, 'group_counter': 2, 'group_order': 3350, 'label': '335A-27', 'order': 335, 'powers': [163, 106, 77, 142, 6], 'representative': 3080, 'size': 2}
-
id: 20974901
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 128, 'group_counter': 2, 'group_order': 3350, 'label': '335A28', 'order': 335, 'powers': [100, 190, 78, 127, 6], 'representative': 280, 'size': 2}
-
id: 20974902
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 129, 'group_counter': 2, 'group_order': 3350, 'label': '335A-28', 'order': 335, 'powers': [101, 191, 78, 126, 5], 'representative': 3070, 'size': 2}
-
id: 20974904
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 130, 'group_counter': 2, 'group_order': 3350, 'label': '335A29', 'order': 335, 'powers': [166, 152, 79, 109, 4], 'representative': 290, 'size': 2}
-
id: 20974905
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 131, 'group_counter': 2, 'group_order': 3350, 'label': '335A-29', 'order': 335, 'powers': [167, 153, 79, 108, 3], 'representative': 3060, 'size': 2}
-
id: 20974906
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 132, 'group_counter': 2, 'group_order': 3350, 'label': '335A31', 'order': 335, 'powers': [170, 196, 81, 92, 3], 'representative': 310, 'size': 2}
-
id: 20974907
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 133, 'group_counter': 2, 'group_order': 3350, 'label': '335A-31', 'order': 335, 'powers': [171, 197, 81, 93, 4], 'representative': 3040, 'size': 2}
-
id: 20974908
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 134, 'group_counter': 2, 'group_order': 3350, 'label': '335A32', 'order': 335, 'powers': [174, 131, 82, 110, 5], 'representative': 320, 'size': 2}
-
id: 20974909
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 135, 'group_counter': 2, 'group_order': 3350, 'label': '335A-32', 'order': 335, 'powers': [175, 130, 82, 111, 6], 'representative': 3030, 'size': 2}
-
id: 20974910
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 136, 'group_counter': 2, 'group_order': 3350, 'label': '335A33', 'order': 335, 'powers': [84, 202, 83, 128, 6], 'representative': 330, 'size': 2}
-
id: 20974911
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 137, 'group_counter': 2, 'group_order': 3350, 'label': '335A-33', 'order': 335, 'powers': [85, 203, 83, 129, 5], 'representative': 3020, 'size': 2}
-
id: 20974912
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 138, 'group_counter': 2, 'group_order': 3350, 'label': '335A34', 'order': 335, 'powers': [176, 134, 83, 144, 4], 'representative': 340, 'size': 2}
-
id: 20974913
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 139, 'group_counter': 2, 'group_order': 3350, 'label': '335A-34', 'order': 335, 'powers': [177, 135, 83, 145, 3], 'representative': 3010, 'size': 2}
-
id: 20974915
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 140, 'group_counter': 2, 'group_order': 3350, 'label': '335A37', 'order': 335, 'powers': [182, 151, 80, 170, 5], 'representative': 370, 'size': 2}
-
id: 20974916
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 141, 'group_counter': 2, 'group_order': 3350, 'label': '335A-37', 'order': 335, 'powers': [183, 150, 80, 171, 6], 'representative': 2980, 'size': 2}
-
id: 20974917
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 142, 'group_counter': 2, 'group_order': 3350, 'label': '335A38', 'order': 335, 'powers': [99, 208, 79, 188, 6], 'representative': 380, 'size': 2}
-
id: 20974918
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 143, 'group_counter': 2, 'group_order': 3350, 'label': '335A-38', 'order': 335, 'powers': [98, 209, 79, 189, 5], 'representative': 2970, 'size': 2}
-
id: 20974919
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 144, 'group_counter': 2, 'group_order': 3350, 'label': '335A39', 'order': 335, 'powers': [184, 110, 78, 198, 4], 'representative': 390, 'size': 2}
-
id: 20974920
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 145, 'group_counter': 2, 'group_order': 3350, 'label': '335A-39', 'order': 335, 'powers': [185, 111, 78, 199, 3], 'representative': 2960, 'size': 2}
-
id: 20974921
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 146, 'group_counter': 2, 'group_order': 3350, 'label': '335A42', 'order': 335, 'powers': [190, 169, 75, 94, 5], 'representative': 420, 'size': 2}
-
id: 20974922
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 147, 'group_counter': 2, 'group_order': 3350, 'label': '335A-42', 'order': 335, 'powers': [191, 168, 75, 95, 6], 'representative': 2930, 'size': 2}
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id: 20974923
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id: 20974924
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 149, 'group_counter': 2, 'group_order': 3350, 'label': '335A-43', 'order': 335, 'powers': [114, 215, 74, 173, 5], 'representative': 2920, 'size': 2}
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id: 20974926
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 150, 'group_counter': 2, 'group_order': 3350, 'label': '335A44', 'order': 335, 'powers': [192, 86, 73, 210, 4], 'representative': 440, 'size': 2}
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id: 20974927
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 151, 'group_counter': 2, 'group_order': 3350, 'label': '335A-44', 'order': 335, 'powers': [193, 87, 73, 211, 3], 'representative': 2910, 'size': 2}
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id: 20974928
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 152, 'group_counter': 2, 'group_order': 3350, 'label': '335A47', 'order': 335, 'powers': [198, 183, 70, 155, 5], 'representative': 470, 'size': 2}
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id: 20974929
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 153, 'group_counter': 2, 'group_order': 3350, 'label': '335A-47', 'order': 335, 'powers': [199, 182, 70, 154, 6], 'representative': 2880, 'size': 2}
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id: 20974930
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 154, 'group_counter': 2, 'group_order': 3350, 'label': '335A48', 'order': 335, 'powers': [131, 212, 69, 96, 6], 'representative': 480, 'size': 2}
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id: 20974931
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 155, 'group_counter': 2, 'group_order': 3350, 'label': '335A-48', 'order': 335, 'powers': [130, 213, 69, 97, 5], 'representative': 2870, 'size': 2}
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id: 20974932
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 156, 'group_counter': 2, 'group_order': 3350, 'label': '335A49', 'order': 335, 'powers': [200, 105, 68, 174, 4], 'representative': 490, 'size': 2}
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id: 20974933
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 157, 'group_counter': 2, 'group_order': 3350, 'label': '335A-49', 'order': 335, 'powers': [201, 104, 68, 175, 3], 'representative': 2860, 'size': 2}
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id: 20974934
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 158, 'group_counter': 2, 'group_order': 3350, 'label': '335A52', 'order': 335, 'powers': [204, 195, 65, 201, 5], 'representative': 520, 'size': 2}
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id: 20974935
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 159, 'group_counter': 2, 'group_order': 3350, 'label': '335A-52', 'order': 335, 'powers': [205, 194, 65, 200, 6], 'representative': 2830, 'size': 2}
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id: 20974937
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 160, 'group_counter': 2, 'group_order': 3350, 'label': '335A53', 'order': 335, 'powers': [145, 206, 64, 153, 6], 'representative': 530, 'size': 2}
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id: 20974938
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 161, 'group_counter': 2, 'group_order': 3350, 'label': '335A-53', 'order': 335, 'powers': [144, 207, 64, 152, 5], 'representative': 2820, 'size': 2}
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id: 20974939
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 162, 'group_counter': 2, 'group_order': 3350, 'label': '335A54', 'order': 335, 'powers': [196, 129, 63, 98, 4], 'representative': 540, 'size': 2}
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id: 20974940
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 163, 'group_counter': 2, 'group_order': 3350, 'label': '335A-54', 'order': 335, 'powers': [197, 128, 63, 99, 3], 'representative': 2810, 'size': 2}
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id: 20974941
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 164, 'group_counter': 2, 'group_order': 3350, 'label': '335A57', 'order': 335, 'powers': [208, 205, 60, 149, 5], 'representative': 570, 'size': 2}
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id: 20974942
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 165, 'group_counter': 2, 'group_order': 3350, 'label': '335A-57', 'order': 335, 'powers': [209, 204, 60, 148, 6], 'representative': 2780, 'size': 2}
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id: 20974943
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 166, 'group_counter': 2, 'group_order': 3350, 'label': '335A58', 'order': 335, 'powers': [157, 198, 59, 135, 6], 'representative': 580, 'size': 2}
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id: 20974944
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 167, 'group_counter': 2, 'group_order': 3350, 'label': '335A-58', 'order': 335, 'powers': [156, 199, 59, 134, 5], 'representative': 2770, 'size': 2}
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id: 20974945
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 168, 'group_counter': 2, 'group_order': 3350, 'label': '335A59', 'order': 335, 'powers': [188, 149, 58, 117, 4], 'representative': 590, 'size': 2}
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id: 20974946
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 169, 'group_counter': 2, 'group_order': 3350, 'label': '335A-59', 'order': 335, 'powers': [189, 148, 58, 116, 3], 'representative': 2760, 'size': 2}
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id: 20974948
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 170, 'group_counter': 2, 'group_order': 3350, 'label': '335A62', 'order': 335, 'powers': [212, 211, 55, 102, 5], 'representative': 620, 'size': 2}
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id: 20974949
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 171, 'group_counter': 2, 'group_order': 3350, 'label': '335A-62', 'order': 335, 'powers': [213, 210, 55, 103, 6], 'representative': 2730, 'size': 2}
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id: 20974950
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 172, 'group_counter': 2, 'group_order': 3350, 'label': '335A63', 'order': 335, 'powers': [169, 186, 54, 120, 6], 'representative': 630, 'size': 2}
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id: 20974951
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 173, 'group_counter': 2, 'group_order': 3350, 'label': '335A-63', 'order': 335, 'powers': [168, 187, 54, 121, 5], 'representative': 2720, 'size': 2}
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id: 20974952
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 174, 'group_counter': 2, 'group_order': 3350, 'label': '335A64', 'order': 335, 'powers': [180, 167, 53, 138, 4], 'representative': 640, 'size': 2}
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id: 20974953
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 175, 'group_counter': 2, 'group_order': 3350, 'label': '335A-64', 'order': 335, 'powers': [181, 166, 53, 139, 3], 'representative': 2710, 'size': 2}
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id: 20974954
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 176, 'group_counter': 2, 'group_order': 3350, 'label': '335A68', 'order': 335, 'powers': [179, 174, 51, 184, 6], 'representative': 680, 'size': 2}
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id: 20974955
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 177, 'group_counter': 2, 'group_order': 3350, 'label': '335A-68', 'order': 335, 'powers': [178, 175, 51, 185, 5], 'representative': 2670, 'size': 2}
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id: 20974956
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 178, 'group_counter': 2, 'group_order': 3350, 'label': '335A69', 'order': 335, 'powers': [172, 181, 52, 194, 4], 'representative': 690, 'size': 2}
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id: 20974957
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 179, 'group_counter': 2, 'group_order': 3350, 'label': '335A-69', 'order': 335, 'powers': [173, 180, 52, 195, 3], 'representative': 2660, 'size': 2}
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id: 20974959
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 180, 'group_counter': 2, 'group_order': 3350, 'label': '335A73', 'order': 335, 'powers': [187, 156, 56, 176, 6], 'representative': 730, 'size': 2}
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id: 20974960
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 181, 'group_counter': 2, 'group_order': 3350, 'label': '335A-73', 'order': 335, 'powers': [186, 157, 56, 177, 5], 'representative': 2620, 'size': 2}
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id: 20974961
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 182, 'group_counter': 2, 'group_order': 3350, 'label': '335A74', 'order': 335, 'powers': [160, 193, 57, 212, 4], 'representative': 740, 'size': 2}
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id: 20974962
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 183, 'group_counter': 2, 'group_order': 3350, 'label': '335A-74', 'order': 335, 'powers': [161, 192, 57, 213, 3], 'representative': 2610, 'size': 2}
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id: 20974963
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 184, 'group_counter': 2, 'group_order': 3350, 'label': '335A78', 'order': 335, 'powers': [195, 138, 61, 104, 6], 'representative': 780, 'size': 2}
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id: 20974964
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 185, 'group_counter': 2, 'group_order': 3350, 'label': '335A-78', 'order': 335, 'powers': [194, 139, 61, 105, 5], 'representative': 2570, 'size': 2}
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id: 20974965
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 186, 'group_counter': 2, 'group_order': 3350, 'label': '335A79', 'order': 335, 'powers': [148, 201, 62, 178, 4], 'representative': 790, 'size': 2}
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id: 20974966
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 187, 'group_counter': 2, 'group_order': 3350, 'label': '335A-79', 'order': 335, 'powers': [149, 200, 62, 179, 3], 'representative': 2560, 'size': 2}
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id: 20974967
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 188, 'group_counter': 2, 'group_order': 3350, 'label': '335A83', 'order': 335, 'powers': [203, 114, 66, 147, 6], 'representative': 830, 'size': 2}
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id: 20974968
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 189, 'group_counter': 2, 'group_order': 3350, 'label': '335A-83', 'order': 335, 'powers': [202, 115, 66, 146, 5], 'representative': 2520, 'size': 2}
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id: 20974970
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 190, 'group_counter': 2, 'group_order': 3350, 'label': '335A84', 'order': 335, 'powers': [136, 189, 67, 106, 4], 'representative': 840, 'size': 2}
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id: 20974971
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 191, 'group_counter': 2, 'group_order': 3350, 'label': '335A-84', 'order': 335, 'powers': [137, 188, 67, 107, 3], 'representative': 2510, 'size': 2}
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id: 20974972
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 192, 'group_counter': 2, 'group_order': 3350, 'label': '335A88', 'order': 335, 'powers': [207, 90, 71, 141, 6], 'representative': 880, 'size': 2}
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id: 20974973
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 193, 'group_counter': 2, 'group_order': 3350, 'label': '335A-88', 'order': 335, 'powers': [206, 91, 71, 140, 5], 'representative': 2470, 'size': 2}
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id: 20974974
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 194, 'group_counter': 2, 'group_order': 3350, 'label': '335A89', 'order': 335, 'powers': [120, 177, 72, 125, 4], 'representative': 890, 'size': 2}
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id: 20974975
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 195, 'group_counter': 2, 'group_order': 3350, 'label': '335A-89', 'order': 335, 'powers': [121, 176, 72, 124, 3], 'representative': 2460, 'size': 2}
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id: 20974976
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 196, 'group_counter': 2, 'group_order': 3350, 'label': '335A93', 'order': 335, 'powers': [211, 101, 76, 112, 6], 'representative': 930, 'size': 2}
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id: 20974977
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 197, 'group_counter': 2, 'group_order': 3350, 'label': '335A-93', 'order': 335, 'powers': [210, 100, 76, 113, 5], 'representative': 2420, 'size': 2}
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id: 20974978
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 198, 'group_counter': 2, 'group_order': 3350, 'label': '335A94', 'order': 335, 'powers': [104, 161, 77, 130, 4], 'representative': 940, 'size': 2}
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id: 20974979
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 199, 'group_counter': 2, 'group_order': 3350, 'label': '335A-94', 'order': 335, 'powers': [105, 160, 77, 131, 3], 'representative': 2410, 'size': 2}
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id: 20974982
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 200, 'group_counter': 2, 'group_order': 3350, 'label': '335A98', 'order': 335, 'powers': [215, 125, 81, 180, 6], 'representative': 980, 'size': 2}
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id: 20974983
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 201, 'group_counter': 2, 'group_order': 3350, 'label': '335A-98', 'order': 335, 'powers': [214, 124, 81, 181, 5], 'representative': 2370, 'size': 2}
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id: 20974984
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 202, 'group_counter': 2, 'group_order': 3350, 'label': '335A99', 'order': 335, 'powers': [88, 143, 82, 190, 4], 'representative': 990, 'size': 2}
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id: 20974985
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 203, 'group_counter': 2, 'group_order': 3350, 'label': '335A-99', 'order': 335, 'powers': [89, 142, 82, 191, 3], 'representative': 2360, 'size': 2}
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id: 20974986
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 204, 'group_counter': 2, 'group_order': 3350, 'label': '335A104', 'order': 335, 'powers': [95, 121, 80, 214, 4], 'representative': 1040, 'size': 2}
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id: 20974987
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 205, 'group_counter': 2, 'group_order': 3350, 'label': '335A-104', 'order': 335, 'powers': [94, 120, 80, 215, 3], 'representative': 2310, 'size': 2}
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id: 20974988
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 206, 'group_counter': 2, 'group_order': 3350, 'label': '335A109', 'order': 335, 'powers': [111, 97, 75, 182, 4], 'representative': 1090, 'size': 2}
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id: 20974989
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 207, 'group_counter': 2, 'group_order': 3350, 'label': '335A-109', 'order': 335, 'powers': [110, 96, 75, 183, 3], 'representative': 2260, 'size': 2}
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id: 20974990
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 208, 'group_counter': 2, 'group_order': 3350, 'label': '335A114', 'order': 335, 'powers': [127, 94, 70, 114, 4], 'representative': 1140, 'size': 2}
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id: 20974991
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 209, 'group_counter': 2, 'group_order': 3350, 'label': '335A-114', 'order': 335, 'powers': [126, 95, 70, 115, 3], 'representative': 2210, 'size': 2}
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id: 20974993
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 210, 'group_counter': 2, 'group_order': 3350, 'label': '335A119', 'order': 335, 'powers': [141, 118, 65, 133, 4], 'representative': 1190, 'size': 2}
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id: 20974994
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 211, 'group_counter': 2, 'group_order': 3350, 'label': '335A-119', 'order': 335, 'powers': [140, 119, 65, 132, 3], 'representative': 2160, 'size': 2}
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id: 20974995
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 212, 'group_counter': 2, 'group_order': 3350, 'label': '335A124', 'order': 335, 'powers': [153, 140, 60, 122, 4], 'representative': 1240, 'size': 2}
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id: 20974996
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 213, 'group_counter': 2, 'group_order': 3350, 'label': '335A-124', 'order': 335, 'powers': [152, 141, 60, 123, 3], 'representative': 2110, 'size': 2}
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id: 20974997
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 214, 'group_counter': 2, 'group_order': 3350, 'label': '335A129', 'order': 335, 'powers': [165, 158, 55, 186, 4], 'representative': 1290, 'size': 2}
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id: 20974998
{'aut_label': '335A1', 'centralizer': '2.a1.a1', 'counter': 215, 'group_counter': 2, 'group_order': 3350, 'label': '335A-129', 'order': 335, 'powers': [164, 159, 55, 187, 3], 'representative': 2060, 'size': 2}
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id: 20974999
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 216, 'group_counter': 2, 'group_order': 3350, 'label': '1675A1', 'order': 1675, 'powers': [218, 220, 84, 232, 11], 'representative': 2, 'size': 2}
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id: 20975000
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 217, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-1', 'order': 1675, 'powers': [219, 221, 85, 233, 12], 'representative': 2548, 'size': 2}
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id: 20975001
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 218, 'group_counter': 2, 'group_order': 3350, 'label': '1675A2', 'order': 1675, 'powers': [222, 224, 86, 250, 13], 'representative': 4, 'size': 2}
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id: 20975002
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 219, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-2', 'order': 1675, 'powers': [223, 225, 87, 251, 14], 'representative': 1746, 'size': 2}
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id: 20975004
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 220, 'group_counter': 2, 'group_order': 3350, 'label': '1675A3', 'order': 1675, 'powers': [224, 230, 88, 268, 15], 'representative': 6, 'size': 2}
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id: 20975005
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 221, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-3', 'order': 1675, 'powers': [225, 231, 89, 269, 16], 'representative': 944, 'size': 2}
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id: 20975006
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 222, 'group_counter': 2, 'group_order': 3350, 'label': '1675A4', 'order': 1675, 'powers': [228, 234, 90, 286, 17], 'representative': 8, 'size': 2}
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id: 20975007
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 223, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-4', 'order': 1675, 'powers': [229, 235, 91, 287, 18], 'representative': 142, 'size': 2}
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id: 20975008
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 224, 'group_counter': 2, 'group_order': 3350, 'label': '1675A6', 'order': 1675, 'powers': [234, 244, 92, 318, 19], 'representative': 12, 'size': 2}
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id: 20975009
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 225, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-6', 'order': 1675, 'powers': [235, 245, 93, 319, 20], 'representative': 1888, 'size': 2}
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id: 20975010
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 226, 'group_counter': 2, 'group_order': 3350, 'label': '1675A7', 'order': 1675, 'powers': [238, 248, 94, 332, 21], 'representative': 14, 'size': 2}
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id: 20975011
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 227, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-7', 'order': 1675, 'powers': [239, 249, 95, 333, 22], 'representative': 1086, 'size': 2}
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id: 20975012
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 228, 'group_counter': 2, 'group_order': 3350, 'label': '1675A8', 'order': 1675, 'powers': [240, 254, 96, 350, 23], 'representative': 16, 'size': 2}
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id: 20975013
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 229, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-8', 'order': 1675, 'powers': [241, 255, 97, 351, 24], 'representative': 284, 'size': 2}
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id: 20975015
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 230, 'group_counter': 2, 'group_order': 3350, 'label': '1675A9', 'order': 1675, 'powers': [244, 258, 98, 364, 25], 'representative': 18, 'size': 2}
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id: 20975016
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 231, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-9', 'order': 1675, 'powers': [245, 259, 99, 365, 26], 'representative': 2832, 'size': 2}
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id: 20975017
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 232, 'group_counter': 2, 'group_order': 3350, 'label': '1675A11', 'order': 1675, 'powers': [250, 268, 100, 301, 27], 'representative': 22, 'size': 2}
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id: 20975018
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 233, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-11', 'order': 1675, 'powers': [251, 269, 101, 300, 28], 'representative': 1228, 'size': 2}
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id: 20975019
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 234, 'group_counter': 2, 'group_order': 3350, 'label': '1675A12', 'order': 1675, 'powers': [254, 272, 102, 410, 29], 'representative': 24, 'size': 2}
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id: 20975020
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 235, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-12', 'order': 1675, 'powers': [255, 273, 103, 411, 30], 'representative': 426, 'size': 2}
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id: 20975021
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 236, 'group_counter': 2, 'group_order': 3350, 'label': '1675A13', 'order': 1675, 'powers': [256, 278, 104, 422, 30], 'representative': 26, 'size': 2}
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id: 20975022
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 237, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-13', 'order': 1675, 'powers': [257, 279, 105, 423, 29], 'representative': 2974, 'size': 2}
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id: 20975023
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 238, 'group_counter': 2, 'group_order': 3350, 'label': '1675A14', 'order': 1675, 'powers': [260, 282, 106, 438, 28], 'representative': 28, 'size': 2}
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id: 20975024
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 239, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-14', 'order': 1675, 'powers': [261, 283, 107, 439, 27], 'representative': 2172, 'size': 2}
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id: 20975026
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 240, 'group_counter': 2, 'group_order': 3350, 'label': '1675A16', 'order': 1675, 'powers': [266, 290, 108, 464, 26], 'representative': 32, 'size': 2}
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id: 20975027
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 241, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-16', 'order': 1675, 'powers': [267, 291, 109, 465, 25], 'representative': 568, 'size': 2}
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id: 20975028
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 242, 'group_counter': 2, 'group_order': 3350, 'label': '1675A17', 'order': 1675, 'powers': [270, 294, 110, 480, 24], 'representative': 34, 'size': 2}
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id: 20975029
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 243, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-17', 'order': 1675, 'powers': [271, 295, 111, 481, 23], 'representative': 3116, 'size': 2}
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id: 20975030
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 244, 'group_counter': 2, 'group_order': 3350, 'label': '1675A18', 'order': 1675, 'powers': [272, 300, 112, 492, 22], 'representative': 36, 'size': 2}
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id: 20975031
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 245, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-18', 'order': 1675, 'powers': [273, 301, 113, 493, 21], 'representative': 2314, 'size': 2}
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id: 20975032
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 246, 'group_counter': 2, 'group_order': 3350, 'label': '1675A19', 'order': 1675, 'powers': [276, 304, 114, 308, 20], 'representative': 38, 'size': 2}
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id: 20975033
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 247, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-19', 'order': 1675, 'powers': [277, 305, 115, 309, 19], 'representative': 1512, 'size': 2}
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id: 20975034
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 248, 'group_counter': 2, 'group_order': 3350, 'label': '1675A21', 'order': 1675, 'powers': [282, 314, 116, 532, 18], 'representative': 42, 'size': 2}
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id: 20975035
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 249, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-21', 'order': 1675, 'powers': [283, 315, 117, 533, 17], 'representative': 3258, 'size': 2}
-
id: 20975037
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 250, 'group_counter': 2, 'group_order': 3350, 'label': '1675A22', 'order': 1675, 'powers': [286, 318, 118, 379, 16], 'representative': 44, 'size': 2}
-
id: 20975038
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 251, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-22', 'order': 1675, 'powers': [287, 319, 119, 378, 15], 'representative': 2456, 'size': 2}
-
id: 20975039
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 252, 'group_counter': 2, 'group_order': 3350, 'label': '1675A23', 'order': 1675, 'powers': [248, 322, 120, 556, 14], 'representative': 46, 'size': 2}
-
id: 20975040
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 253, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-23', 'order': 1675, 'powers': [249, 323, 121, 557, 13], 'representative': 1654, 'size': 2}
-
id: 20975041
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 254, 'group_counter': 2, 'group_order': 3350, 'label': '1675A24', 'order': 1675, 'powers': [290, 324, 122, 570, 12], 'representative': 48, 'size': 2}
-
id: 20975042
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 255, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-24', 'order': 1675, 'powers': [291, 325, 123, 571, 11], 'representative': 852, 'size': 2}
-
id: 20975043
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 256, 'group_counter': 2, 'group_order': 3350, 'label': '1675A26', 'order': 1675, 'powers': [296, 334, 124, 592, 11], 'representative': 52, 'size': 2}
-
id: 20975044
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 257, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-26', 'order': 1675, 'powers': [297, 335, 125, 593, 12], 'representative': 2598, 'size': 2}
-
id: 20975045
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 258, 'group_counter': 2, 'group_order': 3350, 'label': '1675A27', 'order': 1675, 'powers': [300, 338, 126, 458, 13], 'representative': 54, 'size': 2}
-
id: 20975046
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 259, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-27', 'order': 1675, 'powers': [301, 339, 127, 459, 14], 'representative': 1796, 'size': 2}
-
id: 20975048
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 260, 'group_counter': 2, 'group_order': 3350, 'label': '1675A28', 'order': 1675, 'powers': [302, 344, 128, 616, 15], 'representative': 56, 'size': 2}
-
id: 20975049
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 261, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-28', 'order': 1675, 'powers': [303, 345, 129, 617, 16], 'representative': 994, 'size': 2}
-
id: 20975050
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 262, 'group_counter': 2, 'group_order': 3350, 'label': '1675A29', 'order': 1675, 'powers': [306, 348, 130, 624, 17], 'representative': 58, 'size': 2}
-
id: 20975051
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 263, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-29', 'order': 1675, 'powers': [307, 349, 131, 625, 18], 'representative': 192, 'size': 2}
-
id: 20975052
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 264, 'group_counter': 2, 'group_order': 3350, 'label': '1675A31', 'order': 1675, 'powers': [312, 356, 132, 646, 19], 'representative': 62, 'size': 2}
-
id: 20975053
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 265, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-31', 'order': 1675, 'powers': [313, 357, 133, 647, 20], 'representative': 1938, 'size': 2}
-
id: 20975054
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 266, 'group_counter': 2, 'group_order': 3350, 'label': '1675A32', 'order': 1675, 'powers': [316, 263, 134, 654, 21], 'representative': 64, 'size': 2}
-
id: 20975055
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 267, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-32', 'order': 1675, 'powers': [317, 262, 135, 655, 22], 'representative': 1136, 'size': 2}
-
id: 20975056
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 268, 'group_counter': 2, 'group_order': 3350, 'label': '1675A33', 'order': 1675, 'powers': [318, 364, 136, 449, 23], 'representative': 66, 'size': 2}
-
id: 20975057
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 269, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-33', 'order': 1675, 'powers': [319, 365, 137, 448, 24], 'representative': 334, 'size': 2}
-
id: 20975059
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 270, 'group_counter': 2, 'group_order': 3350, 'label': '1675A34', 'order': 1675, 'powers': [320, 368, 138, 676, 25], 'representative': 68, 'size': 2}
-
id: 20975060
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 271, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-34', 'order': 1675, 'powers': [321, 369, 139, 677, 26], 'representative': 2882, 'size': 2}
-
id: 20975061
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 272, 'group_counter': 2, 'group_order': 3350, 'label': '1675A36', 'order': 1675, 'powers': [324, 378, 132, 635, 27], 'representative': 72, 'size': 2}
-
id: 20975062
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 273, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-36', 'order': 1675, 'powers': [325, 379, 133, 634, 28], 'representative': 1278, 'size': 2}
-
id: 20975063
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 274, 'group_counter': 2, 'group_order': 3350, 'label': '1675A37', 'order': 1675, 'powers': [328, 382, 140, 704, 29], 'representative': 74, 'size': 2}
-
id: 20975064
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 275, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-37', 'order': 1675, 'powers': [329, 383, 141, 705, 30], 'representative': 476, 'size': 2}
-
id: 20975065
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 276, 'group_counter': 2, 'group_order': 3350, 'label': '1675A38', 'order': 1675, 'powers': [330, 386, 142, 390, 30], 'representative': 76, 'size': 2}
-
id: 20975066
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 277, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-38', 'order': 1675, 'powers': [331, 387, 143, 391, 29], 'representative': 3024, 'size': 2}
-
id: 20975067
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 278, 'group_counter': 2, 'group_order': 3350, 'label': '1675A39', 'order': 1675, 'powers': [334, 242, 144, 722, 28], 'representative': 78, 'size': 2}
-
id: 20975068
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 279, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-39', 'order': 1675, 'powers': [335, 243, 145, 723, 27], 'representative': 2222, 'size': 2}
-
id: 20975070
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 280, 'group_counter': 2, 'group_order': 3350, 'label': '1675A41', 'order': 1675, 'powers': [340, 396, 124, 293, 26], 'representative': 82, 'size': 2}
-
id: 20975071
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 281, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-41', 'order': 1675, 'powers': [341, 397, 125, 292, 25], 'representative': 618, 'size': 2}
-
id: 20975072
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 282, 'group_counter': 2, 'group_order': 3350, 'label': '1675A42', 'order': 1675, 'powers': [344, 400, 146, 748, 24], 'representative': 84, 'size': 2}
-
id: 20975073
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 283, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-42', 'order': 1675, 'powers': [345, 401, 147, 749, 23], 'representative': 3166, 'size': 2}
-
id: 20975074
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 284, 'group_counter': 2, 'group_order': 3350, 'label': '1675A43', 'order': 1675, 'powers': [346, 406, 148, 696, 22], 'representative': 86, 'size': 2}
-
id: 20975075
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 285, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-43', 'order': 1675, 'powers': [347, 407, 149, 697, 21], 'representative': 2364, 'size': 2}
-
id: 20975076
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 286, 'group_counter': 2, 'group_order': 3350, 'label': '1675A44', 'order': 1675, 'powers': [350, 410, 150, 515, 20], 'representative': 88, 'size': 2}
-
id: 20975077
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 287, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-44', 'order': 1675, 'powers': [351, 411, 151, 514, 19], 'representative': 1562, 'size': 2}
-
id: 20975078
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 288, 'group_counter': 2, 'group_order': 3350, 'label': '1675A47', 'order': 1675, 'powers': [358, 420, 152, 687, 16], 'representative': 94, 'size': 2}
-
id: 20975079
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 289, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-47', 'order': 1675, 'powers': [359, 421, 153, 686, 15], 'representative': 2506, 'size': 2}
-
id: 20975081
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 290, 'group_counter': 2, 'group_order': 3350, 'label': '1675A48', 'order': 1675, 'powers': [263, 424, 154, 786, 14], 'representative': 96, 'size': 2}
-
id: 20975082
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 291, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-48', 'order': 1675, 'powers': [262, 425, 155, 787, 13], 'representative': 1704, 'size': 2}
-
id: 20975083
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 292, 'group_counter': 2, 'group_order': 3350, 'label': '1675A49', 'order': 1675, 'powers': [362, 426, 156, 316, 12], 'representative': 98, 'size': 2}
-
id: 20975084
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 293, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-49', 'order': 1675, 'powers': [363, 427, 157, 317, 11], 'representative': 902, 'size': 2}
-
id: 20975085
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 294, 'group_counter': 2, 'group_order': 3350, 'label': '1675A51', 'order': 1675, 'powers': [368, 436, 108, 778, 11], 'representative': 102, 'size': 2}
-
id: 20975086
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 295, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-51', 'order': 1675, 'powers': [369, 437, 109, 779, 12], 'representative': 2648, 'size': 2}
-
id: 20975087
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 296, 'group_counter': 2, 'group_order': 3350, 'label': '1675A52', 'order': 1675, 'powers': [372, 440, 158, 371, 13], 'representative': 104, 'size': 2}
-
id: 20975088
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 297, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-52', 'order': 1675, 'powers': [373, 441, 159, 370, 14], 'representative': 1846, 'size': 2}
-
id: 20975089
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 298, 'group_counter': 2, 'group_order': 3350, 'label': '1675A53', 'order': 1675, 'powers': [374, 380, 160, 818, 15], 'representative': 106, 'size': 2}
-
id: 20975090
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 299, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-53', 'order': 1675, 'powers': [375, 381, 161, 819, 16], 'representative': 1044, 'size': 2}
-
id: 20975093
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 300, 'group_counter': 2, 'group_order': 3350, 'label': '1675A54', 'order': 1675, 'powers': [378, 448, 162, 648, 17], 'representative': 108, 'size': 2}
-
id: 20975094
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 301, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-54', 'order': 1675, 'powers': [379, 449, 163, 649, 18], 'representative': 242, 'size': 2}
-
id: 20975095
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 302, 'group_counter': 2, 'group_order': 3350, 'label': '1675A56', 'order': 1675, 'powers': [384, 454, 100, 832, 19], 'representative': 112, 'size': 2}
-
id: 20975096
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 303, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-56', 'order': 1675, 'powers': [385, 455, 101, 833, 20], 'representative': 1988, 'size': 2}
-
id: 20975097
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 304, 'group_counter': 2, 'group_order': 3350, 'label': '1675A57', 'order': 1675, 'powers': [386, 373, 164, 466, 21], 'representative': 114, 'size': 2}
-
id: 20975098
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 305, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-57', 'order': 1675, 'powers': [387, 372, 165, 467, 22], 'representative': 1186, 'size': 2}
-
id: 20975099
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 306, 'group_counter': 2, 'group_order': 3350, 'label': '1675A58', 'order': 1675, 'powers': [388, 462, 166, 731, 23], 'representative': 116, 'size': 2}
-
id: 20975100
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 307, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-58', 'order': 1675, 'powers': [389, 463, 167, 730, 24], 'representative': 384, 'size': 2}
-
id: 20975101
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 308, 'group_counter': 2, 'group_order': 3350, 'label': '1675A59', 'order': 1675, 'powers': [390, 466, 168, 834, 25], 'representative': 118, 'size': 2}
-
id: 20975102
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 309, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-59', 'order': 1675, 'powers': [391, 467, 169, 835, 26], 'representative': 2932, 'size': 2}
-
id: 20975104
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 310, 'group_counter': 2, 'group_order': 3350, 'label': '1675A61', 'order': 1675, 'powers': [394, 476, 92, 827, 27], 'representative': 122, 'size': 2}
-
id: 20975105
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 311, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-61', 'order': 1675, 'powers': [395, 477, 93, 826, 28], 'representative': 1328, 'size': 2}
-
id: 20975106
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 312, 'group_counter': 2, 'group_order': 3350, 'label': '1675A62', 'order': 1675, 'powers': [398, 478, 170, 742, 29], 'representative': 124, 'size': 2}
-
id: 20975107
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 313, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-62', 'order': 1675, 'powers': [399, 479, 171, 743, 30], 'representative': 526, 'size': 2}
-
id: 20975108
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 314, 'group_counter': 2, 'group_order': 3350, 'label': '1675A63', 'order': 1675, 'powers': [400, 482, 172, 443, 30], 'representative': 126, 'size': 2}
-
id: 20975109
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 315, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-63', 'order': 1675, 'powers': [401, 483, 173, 442, 29], 'representative': 3074, 'size': 2}
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id: 20975110
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id: 20975111
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id: 20975112
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id: 20975113
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id: 20975115
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id: 20975116
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id: 20975117
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id: 20975118
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id: 20975119
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id: 20975120
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id: 20975121
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id: 20975122
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id: 20975123
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id: 20975124
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id: 20975126
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id: 20975127
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id: 20975128
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id: 20975129
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id: 20975130
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id: 20975131
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id: 20975132
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id: 20975133
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id: 20975134
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id: 20975135
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id: 20975137
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id: 20975138
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id: 20975139
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id: 20975140
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id: 20975141
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id: 20975142
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id: 20975143
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id: 20975144
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id: 20975145
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id: 20975146
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id: 20975148
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id: 20975149
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id: 20975150
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id: 20975151
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id: 20975152
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id: 20975153
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id: 20975154
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id: 20975155
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id: 20975156
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id: 20975157
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id: 20975159
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id: 20975160
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id: 20975161
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id: 20975162
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id: 20975163
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id: 20975164
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id: 20975165
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id: 20975166
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id: 20975167
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id: 20975168
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id: 20975170
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id: 20975171
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id: 20975172
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id: 20975173
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id: 20975174
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id: 20975175
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id: 20975176
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id: 20975177
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id: 20975178
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id: 20975179
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id: 20975181
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id: 20975182
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id: 20975183
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id: 20975184
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id: 20975185
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id: 20975186
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id: 20975187
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id: 20975188
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id: 20975189
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id: 20975190
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id: 20975192
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id: 20975193
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id: 20975194
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id: 20975195
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id: 20975196
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id: 20975197
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id: 20975198
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id: 20975199
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id: 20975200
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id: 20975201
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id: 20975205
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id: 20975206
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id: 20975207
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id: 20975208
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id: 20975209
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id: 20975210
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id: 20975211
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id: 20975212
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id: 20975213
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id: 20975215
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id: 20975216
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id: 20975217
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id: 20975218
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id: 20975219
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id: 20975220
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id: 20975221
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id: 20975222
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id: 20975223
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id: 20975224
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id: 20975226
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id: 20975227
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id: 20975228
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id: 20975229
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id: 20975230
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id: 20975231
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id: 20975232
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id: 20975233
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id: 20975234
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id: 20975235
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id: 20975237
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id: 20975238
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id: 20975239
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id: 20975240
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id: 20975241
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id: 20975242
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id: 20975243
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id: 20975244
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id: 20975245
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id: 20975246
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id: 20975248
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id: 20975249
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id: 20975250
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id: 20975251
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id: 20975252
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id: 20975253
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id: 20975254
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id: 20975255
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id: 20975256
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id: 20975257
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id: 20975259
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id: 20975260
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id: 20975261
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id: 20975262
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id: 20975263
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id: 20975264
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id: 20975265
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id: 20975266
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id: 20975267
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id: 20975268
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id: 20975270
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id: 20975271
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id: 20975272
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id: 20975273
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id: 20975274
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id: 20975275
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id: 20975276
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id: 20975277
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id: 20975278
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id: 20975279
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id: 20975281
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id: 20975282
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id: 20975283
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id: 20975284
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id: 20975285
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id: 20975286
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id: 20975287
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id: 20975288
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id: 20975289
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id: 20975290
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id: 20975292
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id: 20975293
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id: 20975294
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id: 20975295
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id: 20975296
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id: 20975297
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id: 20975298
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id: 20975299
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id: 20975300
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id: 20975301
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id: 20975303
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id: 20975304
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id: 20975305
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id: 20975306
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id: 20975307
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id: 20975308
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id: 20975309
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id: 20975310
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id: 20975311
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id: 20975312
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id: 20975315
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id: 20975316
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id: 20975317
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id: 20975318
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id: 20975319
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id: 20975320
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id: 20975321
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id: 20975322
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id: 20975323
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id: 20975324
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id: 20975326
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id: 20975327
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id: 20975328
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id: 20975329
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id: 20975330
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id: 20975331
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id: 20975332
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id: 20975333
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id: 20975334
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id: 20975335
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id: 20975337
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id: 20975338
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id: 20975339
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id: 20975340
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id: 20975341
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id: 20975342
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id: 20975343
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id: 20975344
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id: 20975345
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 528, 'group_counter': 2, 'group_order': 3350, 'label': '1675A228', 'order': 1675, 'powers': [586, 713, 127, 862, 15], 'representative': 456, 'size': 2}
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id: 20975346
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id: 20975348
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id: 20975349
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id: 20975350
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id: 20975351
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id: 20975352
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id: 20975353
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id: 20975354
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id: 20975355
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id: 20975356
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id: 20975357
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id: 20975359
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id: 20975360
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id: 20975361
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id: 20975362
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id: 20975363
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id: 20975364
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id: 20975365
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id: 20975366
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id: 20975367
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id: 20975368
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id: 20975370
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id: 20975371
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id: 20975372
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id: 20975373
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id: 20975374
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id: 20975375
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id: 20975376
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id: 20975377
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id: 20975378
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id: 20975379
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id: 20975381
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id: 20975382
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id: 20975383
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id: 20975384
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id: 20975385
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id: 20975390
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id: 20975394
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id: 20975396
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id: 20975397
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id: 20975398
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id: 20975399
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id: 20975400
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id: 20975401
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id: 20975403
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id: 20975404
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id: 20975405
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id: 20975406
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id: 20975407
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id: 20975408
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id: 20975409
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id: 20975410
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id: 20975411
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id: 20975412
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id: 20975414
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id: 20975415
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id: 20975416
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id: 20975417
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id: 20975418
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id: 20975419
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id: 20975420
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id: 20975421
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id: 20975422
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id: 20975423
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id: 20975426
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id: 20975427
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id: 20975428
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id: 20975429
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id: 20975430
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id: 20975431
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id: 20975432
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id: 20975433
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id: 20975434
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id: 20975435
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id: 20975437
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id: 20975438
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id: 20975439
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id: 20975440
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id: 20975441
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id: 20975442
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id: 20975443
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id: 20975444
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id: 20975445
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id: 20975446
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id: 20975448
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id: 20975449
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id: 20975450
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id: 20975451
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id: 20975452
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id: 20975453
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id: 20975454
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id: 20975455
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id: 20975456
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id: 20975457
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id: 20975459
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id: 20975460
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id: 20975461
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id: 20975462
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id: 20975463
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id: 20975464
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id: 20975465
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id: 20975466
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id: 20975467
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id: 20975468
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id: 20975470
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id: 20975471
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id: 20975472
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id: 20975473
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id: 20975474
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id: 20975475
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id: 20975476
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id: 20975477
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id: 20975478
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id: 20975479
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id: 20975481
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id: 20975482
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id: 20975483
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id: 20975484
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id: 20975485
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id: 20975486
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id: 20975487
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id: 20975488
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id: 20975489
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id: 20975490
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id: 20975492
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id: 20975493
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 661, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-356', 'order': 1675, 'powers': [865, 790, 117, 811, 20], 'representative': 2588, 'size': 2}
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id: 20975494
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id: 20975495
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id: 20975496
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id: 20975497
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 665, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-358', 'order': 1675, 'powers': [859, 495, 121, 690, 24], 'representative': 984, 'size': 2}
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id: 20975498
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 666, 'group_counter': 2, 'group_order': 3350, 'label': '1675A361', 'order': 1675, 'powers': [557, 744, 124, 803, 27], 'representative': 722, 'size': 2}
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id: 20975499
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id: 20975500
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id: 20975501
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 669, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-362', 'order': 1675, 'powers': [799, 238, 127, 775, 30], 'representative': 1126, 'size': 2}
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id: 20975503
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 670, 'group_counter': 2, 'group_order': 3350, 'label': '1675A366', 'order': 1675, 'powers': [704, 527, 132, 579, 26], 'representative': 732, 'size': 2}
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id: 20975504
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 671, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-366', 'order': 1675, 'powers': [705, 526, 133, 578, 25], 'representative': 1268, 'size': 2}
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id: 20975505
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id: 20975506
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id: 20975507
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 674, 'group_counter': 2, 'group_order': 3350, 'label': '1675A373', 'order': 1675, 'powers': [853, 473, 142, 738, 14], 'representative': 746, 'size': 2}
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id: 20975508
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id: 20975509
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 676, 'group_counter': 2, 'group_order': 3350, 'label': '1675A374', 'order': 1675, 'powers': [396, 801, 144, 447, 12], 'representative': 748, 'size': 2}
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id: 20975510
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id: 20975511
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 678, 'group_counter': 2, 'group_order': 3350, 'label': '1675A377', 'order': 1675, 'powers': [870, 695, 146, 633, 13], 'representative': 754, 'size': 2}
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id: 20975512
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 679, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-377', 'order': 1675, 'powers': [871, 694, 147, 632, 14], 'representative': 2496, 'size': 2}
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id: 20975514
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 680, 'group_counter': 2, 'group_order': 3350, 'label': '1675A378', 'order': 1675, 'powers': [247, 797, 148, 868, 15], 'representative': 756, 'size': 2}
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id: 20975515
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 681, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-378', 'order': 1675, 'powers': [246, 796, 149, 869, 16], 'representative': 1694, 'size': 2}
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id: 20975516
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 682, 'group_counter': 2, 'group_order': 3350, 'label': '1675A379', 'order': 1675, 'powers': [872, 644, 150, 392, 17], 'representative': 758, 'size': 2}
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id: 20975517
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 683, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-379', 'order': 1675, 'powers': [873, 645, 151, 393, 18], 'representative': 892, 'size': 2}
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id: 20975518
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 684, 'group_counter': 2, 'group_order': 3350, 'label': '1675A382', 'order': 1675, 'powers': [447, 789, 152, 291, 21], 'representative': 764, 'size': 2}
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id: 20975519
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 685, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-382', 'order': 1675, 'powers': [446, 788, 153, 290, 22], 'representative': 1836, 'size': 2}
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id: 20975520
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 686, 'group_counter': 2, 'group_order': 3350, 'label': '1675A383', 'order': 1675, 'powers': [842, 398, 154, 849, 23], 'representative': 766, 'size': 2}
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id: 20975521
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 687, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-383', 'order': 1675, 'powers': [843, 399, 155, 848, 24], 'representative': 1034, 'size': 2}
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id: 20975522
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 688, 'group_counter': 2, 'group_order': 3350, 'label': '1675A386', 'order': 1675, 'powers': [609, 686, 108, 875, 27], 'representative': 772, 'size': 2}
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id: 20975523
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 689, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-386', 'order': 1675, 'powers': [608, 687, 109, 874, 28], 'representative': 1978, 'size': 2}
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id: 20975525
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 690, 'group_counter': 2, 'group_order': 3350, 'label': '1675A387', 'order': 1675, 'powers': [768, 353, 158, 534, 29], 'representative': 774, 'size': 2}
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id: 20975526
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 691, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-387', 'order': 1675, 'powers': [769, 352, 159, 535, 30], 'representative': 1176, 'size': 2}
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id: 20975527
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 692, 'group_counter': 2, 'group_order': 3350, 'label': '1675A391', 'order': 1675, 'powers': [662, 607, 100, 799, 26], 'representative': 782, 'size': 2}
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id: 20975528
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 693, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-391', 'order': 1675, 'powers': [663, 606, 101, 798, 25], 'representative': 1318, 'size': 2}
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id: 20975529
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 694, 'group_counter': 2, 'group_order': 3350, 'label': '1675A394', 'order': 1675, 'powers': [821, 285, 168, 859, 20], 'representative': 788, 'size': 2}
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id: 20975530
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 695, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-394', 'order': 1675, 'powers': [820, 284, 169, 858, 19], 'representative': 2262, 'size': 2}
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id: 20975531
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 696, 'group_counter': 2, 'group_order': 3350, 'label': '1675A398', 'order': 1675, 'powers': [867, 561, 172, 468, 14], 'representative': 796, 'size': 2}
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id: 20975532
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 697, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-398', 'order': 1675, 'powers': [866, 560, 173, 469, 13], 'representative': 2404, 'size': 2}
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id: 20975533
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 698, 'group_counter': 2, 'group_order': 3350, 'label': '1675A399', 'order': 1675, 'powers': [326, 755, 174, 729, 12], 'representative': 798, 'size': 2}
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id: 20975534
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 699, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-399', 'order': 1675, 'powers': [327, 754, 175, 728, 11], 'representative': 1602, 'size': 2}
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id: 20975537
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 700, 'group_counter': 2, 'group_order': 3350, 'label': '1675A403', 'order': 1675, 'powers': [323, 751, 176, 744, 15], 'representative': 806, 'size': 2}
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id: 20975538
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 701, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-403', 'order': 1675, 'powers': [322, 750, 177, 745, 16], 'representative': 1744, 'size': 2}
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id: 20975539
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 702, 'group_counter': 2, 'group_order': 3350, 'label': '1675A404', 'order': 1675, 'powers': [868, 568, 178, 441, 17], 'representative': 808, 'size': 2}
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id: 20975540
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 703, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-404', 'order': 1675, 'powers': [869, 569, 179, 440, 18], 'representative': 942, 'size': 2}
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id: 20975541
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 704, 'group_counter': 2, 'group_order': 3350, 'label': '1675A407', 'order': 1675, 'powers': [509, 741, 170, 627, 21], 'representative': 814, 'size': 2}
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id: 20975542
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 705, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-407', 'order': 1675, 'powers': [508, 740, 171, 626, 22], 'representative': 1886, 'size': 2}
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id: 20975543
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 706, 'group_counter': 2, 'group_order': 3350, 'label': '1675A408', 'order': 1675, 'powers': [822, 292, 180, 795, 23], 'representative': 816, 'size': 2}
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id: 20975544
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 707, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-408', 'order': 1675, 'powers': [823, 293, 181, 794, 24], 'representative': 1084, 'size': 2}
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id: 20975545
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 708, 'group_counter': 2, 'group_order': 3350, 'label': '1675A411', 'order': 1675, 'powers': [657, 616, 99, 773, 27], 'representative': 822, 'size': 2}
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id: 20975546
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 709, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-411', 'order': 1675, 'powers': [656, 617, 98, 772, 28], 'representative': 2028, 'size': 2}
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id: 20975548
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 710, 'group_counter': 2, 'group_order': 3350, 'label': '1675A412', 'order': 1675, 'powers': [736, 451, 164, 285, 29], 'representative': 824, 'size': 2}
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id: 20975549
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 711, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-412', 'order': 1675, 'powers': [737, 450, 165, 284, 30], 'representative': 1226, 'size': 2}
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id: 20975550
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 712, 'group_counter': 2, 'group_order': 3350, 'label': '1675A416', 'order': 1675, 'powers': [614, 679, 107, 737, 26], 'representative': 832, 'size': 2}
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id: 20975551
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 713, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-416', 'order': 1675, 'powers': [615, 678, 106, 736, 25], 'representative': 1368, 'size': 2}
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id: 20975552
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 714, 'group_counter': 2, 'group_order': 3350, 'label': '1675A419', 'order': 1675, 'powers': [841, 391, 190, 713, 20], 'representative': 838, 'size': 2}
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id: 20975553
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 715, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-419', 'order': 1675, 'powers': [840, 390, 191, 712, 19], 'representative': 2312, 'size': 2}
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id: 20975554
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 716, 'group_counter': 2, 'group_order': 3350, 'label': '1675A423', 'order': 1675, 'powers': [875, 637, 192, 361, 14], 'representative': 846, 'size': 2}
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id: 20975555
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 717, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-423', 'order': 1675, 'powers': [874, 636, 193, 360, 13], 'representative': 2454, 'size': 2}
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id: 20975556
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 718, 'group_counter': 2, 'group_order': 3350, 'label': '1675A424', 'order': 1675, 'powers': [252, 701, 194, 667, 12], 'representative': 848, 'size': 2}
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id: 20975557
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 719, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-424', 'order': 1675, 'powers': [253, 700, 195, 666, 11], 'representative': 1652, 'size': 2}
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id: 20975559
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 720, 'group_counter': 2, 'group_order': 3350, 'label': '1675A428', 'order': 1675, 'powers': [393, 693, 196, 476, 15], 'representative': 856, 'size': 2}
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id: 20975560
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 721, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-428', 'order': 1675, 'powers': [392, 692, 197, 477, 16], 'representative': 1794, 'size': 2}
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id: 20975561
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 722, 'group_counter': 2, 'group_order': 3350, 'label': '1675A429', 'order': 1675, 'powers': [854, 480, 198, 613, 17], 'representative': 858, 'size': 2}
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id: 20975562
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 723, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-429', 'order': 1675, 'powers': [855, 481, 199, 612, 18], 'representative': 992, 'size': 2}
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id: 20975563
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 724, 'group_counter': 2, 'group_order': 3350, 'label': '1675A432', 'order': 1675, 'powers': [567, 683, 140, 577, 21], 'representative': 864, 'size': 2}
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id: 20975564
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 725, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-432', 'order': 1675, 'powers': [566, 682, 141, 576, 22], 'representative': 1936, 'size': 2}
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id: 20975565
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 726, 'group_counter': 2, 'group_order': 3350, 'label': '1675A433', 'order': 1675, 'powers': [796, 257, 200, 569, 23], 'representative': 866, 'size': 2}
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id: 20975566
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 727, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-433', 'order': 1675, 'powers': [797, 256, 201, 568, 24], 'representative': 1134, 'size': 2}
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id: 20975567
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 728, 'group_counter': 2, 'group_order': 3350, 'label': '1675A436', 'order': 1675, 'powers': [701, 536, 139, 531, 27], 'representative': 872, 'size': 2}
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id: 20975568
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id: 20975572
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id: 20975573
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id: 20975574
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id: 20975575
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id: 20975576
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id: 20975577
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id: 20975578
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id: 20975579
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id: 20975581
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id: 20975582
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id: 20975583
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id: 20975584
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id: 20975585
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id: 20975586
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id: 20975587
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id: 20975588
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id: 20975589
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id: 20975590
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id: 20975592
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id: 20975593
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id: 20975594
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id: 20975595
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id: 20975596
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id: 20975597
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id: 20975598
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id: 20975599
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id: 20975600
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id: 20975601
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id: 20975603
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id: 20975604
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id: 20975605
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id: 20975606
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id: 20975607
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id: 20975608
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id: 20975609
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id: 20975610
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id: 20975611
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id: 20975612
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id: 20975614
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id: 20975615
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id: 20975616
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id: 20975617
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id: 20975618
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id: 20975619
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id: 20975620
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id: 20975621
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id: 20975622
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id: 20975623
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id: 20975625
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id: 20975626
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id: 20975627
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id: 20975628
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id: 20975629
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id: 20975630
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id: 20975631
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id: 20975632
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id: 20975633
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id: 20975634
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id: 20975636
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id: 20975637
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id: 20975638
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id: 20975639
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id: 20975640
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id: 20975641
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id: 20975642
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id: 20975643
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id: 20975644
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id: 20975645
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id: 20975648
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id: 20975649
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id: 20975650
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id: 20975651
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id: 20975652
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id: 20975653
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id: 20975654
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id: 20975655
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id: 20975656
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id: 20975657
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id: 20975659
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-
id: 20975660
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 811, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-566', 'order': 1675, 'powers': [227, 253, 204, 752, 25], 'representative': 1668, 'size': 2}
-
id: 20975661
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 812, 'group_counter': 2, 'group_order': 3350, 'label': '1675A574', 'order': 1675, 'powers': [581, 288, 130, 689, 12], 'representative': 1148, 'size': 2}
-
id: 20975662
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 813, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-574', 'order': 1675, 'powers': [580, 289, 131, 688, 11], 'representative': 1952, 'size': 2}
-
id: 20975663
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 814, 'group_counter': 2, 'group_order': 3350, 'label': '1675A578', 'order': 1675, 'powers': [715, 308, 147, 506, 15], 'representative': 1156, 'size': 2}
-
id: 20975664
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 815, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-578', 'order': 1675, 'powers': [714, 309, 146, 507, 16], 'representative': 2094, 'size': 2}
-
id: 20975665
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 816, 'group_counter': 2, 'group_order': 3350, 'label': '1675A579', 'order': 1675, 'powers': [686, 312, 122, 637, 17], 'representative': 1158, 'size': 2}
-
id: 20975666
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 817, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-579', 'order': 1675, 'powers': [687, 313, 123, 636, 18], 'representative': 1292, 'size': 2}
-
id: 20975667
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 818, 'group_counter': 2, 'group_order': 3350, 'label': '1675A583', 'order': 1675, 'powers': [544, 328, 153, 595, 23], 'representative': 1166, 'size': 2}
-
id: 20975668
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 819, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-583', 'order': 1675, 'powers': [545, 329, 152, 594, 24], 'representative': 1434, 'size': 2}
-
id: 20975670
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 820, 'group_counter': 2, 'group_order': 3350, 'label': '1675A587', 'order': 1675, 'powers': [364, 346, 189, 547, 29], 'representative': 1174, 'size': 2}
-
id: 20975671
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 821, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-587', 'order': 1675, 'powers': [365, 347, 188, 546, 30], 'representative': 1576, 'size': 2}
-
id: 20975672
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 822, 'group_counter': 2, 'group_order': 3350, 'label': '1675A591', 'order': 1675, 'powers': [285, 362, 187, 495, 26], 'representative': 1182, 'size': 2}
-
id: 20975673
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 823, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-591', 'order': 1675, 'powers': [284, 363, 186, 494, 25], 'representative': 1718, 'size': 2}
-
id: 20975674
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 824, 'group_counter': 2, 'group_order': 3350, 'label': '1675A599', 'order': 1675, 'powers': [631, 394, 90, 383, 12], 'representative': 1198, 'size': 2}
-
id: 20975675
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 825, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-599', 'order': 1675, 'powers': [630, 395, 91, 382, 11], 'representative': 2002, 'size': 2}
-
id: 20975676
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 826, 'group_counter': 2, 'group_order': 3350, 'label': '1675A604', 'order': 1675, 'powers': [640, 416, 85, 303, 17], 'representative': 1208, 'size': 2}
-
id: 20975677
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 827, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-604', 'order': 1675, 'powers': [641, 417, 84, 302, 18], 'representative': 1342, 'size': 2}
-
id: 20975678
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 828, 'group_counter': 2, 'group_order': 3350, 'label': '1675A608', 'order': 1675, 'powers': [484, 430, 171, 235, 23], 'representative': 1216, 'size': 2}
-
id: 20975679
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 829, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-608', 'order': 1675, 'powers': [485, 431, 170, 234, 24], 'representative': 1484, 'size': 2}
-
id: 20975681
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 830, 'group_counter': 2, 'group_order': 3350, 'label': '1675A612', 'order': 1675, 'powers': [292, 446, 167, 266, 29], 'representative': 1224, 'size': 2}
-
id: 20975682
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 831, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-612', 'order': 1675, 'powers': [293, 447, 166, 267, 30], 'representative': 1626, 'size': 2}
-
id: 20975683
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 832, 'group_counter': 2, 'group_order': 3350, 'label': '1675A616', 'order': 1675, 'powers': [357, 460, 163, 330, 26], 'representative': 1232, 'size': 2}
-
id: 20975684
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 833, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-616', 'order': 1675, 'powers': [356, 461, 162, 331, 25], 'representative': 1768, 'size': 2}
-
id: 20975685
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 834, 'group_counter': 2, 'group_order': 3350, 'label': '1675A624', 'order': 1675, 'powers': [679, 490, 117, 450, 12], 'representative': 1248, 'size': 2}
-
id: 20975686
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 835, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-624', 'order': 1675, 'powers': [678, 491, 116, 451, 11], 'representative': 2052, 'size': 2}
-
id: 20975687
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 836, 'group_counter': 2, 'group_order': 3350, 'label': '1675A629', 'order': 1675, 'powers': [590, 510, 125, 518, 17], 'representative': 1258, 'size': 2}
-
id: 20975688
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 837, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-629', 'order': 1675, 'powers': [591, 511, 124, 519, 18], 'representative': 1392, 'size': 2}
-
id: 20975689
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 838, 'group_counter': 2, 'group_order': 3350, 'label': '1675A633', 'order': 1675, 'powers': [420, 524, 141, 313, 23], 'representative': 1266, 'size': 2}
-
id: 20975690
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 839, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-633', 'order': 1675, 'powers': [421, 525, 140, 312, 24], 'representative': 1534, 'size': 2}
-
id: 20975692
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 840, 'group_counter': 2, 'group_order': 3350, 'label': '1675A637', 'order': 1675, 'powers': [217, 538, 137, 614, 29], 'representative': 1274, 'size': 2}
-
id: 20975693
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 841, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-637', 'order': 1675, 'powers': [216, 539, 136, 615, 30], 'representative': 1676, 'size': 2}
-
id: 20975694
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 842, 'group_counter': 2, 'group_order': 3350, 'label': '1675A641', 'order': 1675, 'powers': [423, 550, 131, 294, 26], 'representative': 1282, 'size': 2}
-
id: 20975695
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 843, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-641', 'order': 1675, 'powers': [422, 551, 130, 295, 25], 'representative': 1818, 'size': 2}
-
id: 20975696
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 844, 'group_counter': 2, 'group_order': 3350, 'label': '1675A654', 'order': 1675, 'powers': [536, 594, 109, 734, 17], 'representative': 1308, 'size': 2}
-
id: 20975697
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 845, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-654', 'order': 1675, 'powers': [537, 595, 108, 735, 18], 'representative': 1442, 'size': 2}
-
id: 20975698
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 846, 'group_counter': 2, 'group_order': 3350, 'label': '1675A658', 'order': 1675, 'powers': [354, 604, 103, 645, 23], 'representative': 1316, 'size': 2}
-
id: 20975699
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 847, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-658', 'order': 1675, 'powers': [355, 605, 102, 644, 24], 'representative': 1584, 'size': 2}
-
id: 20975700
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 848, 'group_counter': 2, 'group_order': 3350, 'label': '1675A662', 'order': 1675, 'powers': [295, 618, 97, 804, 29], 'representative': 1324, 'size': 2}
-
id: 20975701
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 849, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-662', 'order': 1675, 'powers': [294, 619, 96, 805, 30], 'representative': 1726, 'size': 2}
-
id: 20975703
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 850, 'group_counter': 2, 'group_order': 3350, 'label': '1675A666', 'order': 1675, 'powers': [487, 626, 91, 525, 26], 'representative': 1332, 'size': 2}
-
id: 20975704
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 851, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-666', 'order': 1675, 'powers': [486, 627, 90, 524, 25], 'representative': 1868, 'size': 2}
-
id: 20975705
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 852, 'group_counter': 2, 'group_order': 3350, 'label': '1675A679', 'order': 1675, 'powers': [476, 668, 98, 456, 17], 'representative': 1358, 'size': 2}
-
id: 20975706
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 853, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-679', 'order': 1675, 'powers': [477, 669, 99, 457, 18], 'representative': 1492, 'size': 2}
-
id: 20975707
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 854, 'group_counter': 2, 'group_order': 3350, 'label': '1675A683', 'order': 1675, 'powers': [280, 676, 104, 831, 23], 'representative': 1366, 'size': 2}
-
id: 20975708
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 855, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-683', 'order': 1675, 'powers': [281, 677, 105, 830, 24], 'representative': 1634, 'size': 2}
-
id: 20975709
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 856, 'group_counter': 2, 'group_order': 3350, 'label': '1675A687', 'order': 1675, 'powers': [367, 688, 110, 588, 29], 'representative': 1374, 'size': 2}
-
id: 20975710
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 857, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-687', 'order': 1675, 'powers': [366, 689, 111, 589, 30], 'representative': 1776, 'size': 2}
-
id: 20975711
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 858, 'group_counter': 2, 'group_order': 3350, 'label': '1675A691', 'order': 1675, 'powers': [547, 696, 116, 769, 26], 'representative': 1382, 'size': 2}
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id: 20975712
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 859, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-691', 'order': 1675, 'powers': [546, 697, 117, 768, 25], 'representative': 1918, 'size': 2}
-
id: 20975714
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 860, 'group_counter': 2, 'group_order': 3350, 'label': '1675A704', 'order': 1675, 'powers': [412, 730, 138, 375, 17], 'representative': 1408, 'size': 2}
-
id: 20975715
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 861, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-704', 'order': 1675, 'powers': [413, 731, 139, 374, 18], 'representative': 1542, 'size': 2}
-
id: 20975716
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 862, 'group_counter': 2, 'group_order': 3350, 'label': '1675A708', 'order': 1675, 'powers': [231, 736, 142, 821, 23], 'representative': 1416, 'size': 2}
-
id: 20975717
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 863, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-708', 'order': 1675, 'powers': [230, 737, 143, 820, 24], 'representative': 1684, 'size': 2}
-
id: 20975718
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 864, 'group_counter': 2, 'group_order': 3350, 'label': '1675A712', 'order': 1675, 'powers': [433, 746, 146, 226, 29], 'representative': 1424, 'size': 2}
-
id: 20975719
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 865, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-712', 'order': 1675, 'powers': [432, 747, 147, 227, 30], 'representative': 1826, 'size': 2}
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id: 20975720
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 866, 'group_counter': 2, 'group_order': 3350, 'label': '1675A729', 'order': 1675, 'powers': [342, 780, 168, 661, 17], 'representative': 1458, 'size': 2}
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id: 20975721
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 867, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-729', 'order': 1675, 'powers': [343, 781, 169, 660, 18], 'representative': 1592, 'size': 2}
-
id: 20975722
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 868, 'group_counter': 2, 'group_order': 3350, 'label': '1675A733', 'order': 1675, 'powers': [309, 784, 172, 621, 23], 'representative': 1466, 'size': 2}
-
id: 20975723
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 869, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-733', 'order': 1675, 'powers': [308, 785, 173, 620, 24], 'representative': 1734, 'size': 2}
-
id: 20975725
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 870, 'group_counter': 2, 'group_order': 3350, 'label': '1675A754', 'order': 1675, 'powers': [268, 820, 190, 339, 17], 'representative': 1508, 'size': 2}
-
id: 20975726
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 871, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-754', 'order': 1675, 'powers': [269, 821, 191, 338, 18], 'representative': 1642, 'size': 2}
-
id: 20975727
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 872, 'group_counter': 2, 'group_order': 3350, 'label': '1675A758', 'order': 1675, 'powers': [381, 824, 192, 275, 23], 'representative': 1516, 'size': 2}
-
id: 20975728
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 873, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-758', 'order': 1675, 'powers': [380, 825, 193, 274, 24], 'representative': 1784, 'size': 2}
-
id: 20975729
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 874, 'group_counter': 2, 'group_order': 3350, 'label': '1675A779', 'order': 1675, 'powers': [243, 848, 206, 488, 17], 'representative': 1558, 'size': 2}
-
id: 20975730
{'aut_label': '1675A1', 'centralizer': '2.a1.a1', 'counter': 875, 'group_counter': 2, 'group_order': 3350, 'label': '1675A-779', 'order': 1675, 'powers': [242, 849, 207, 489, 18], 'representative': 1692, 'size': 2}
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group 3350.b does not appear in gps_qchar
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group 3350.b does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 2675265
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': False, 'central_factor': False, 'centralizer_order': 25, 'characteristic': True, 'core_order': 3350, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 670, 'label': '3350.b.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3350.b', 'subgroup_hash': 3, 'subgroup_order': 3350, 'subgroup_tex': 'C_{25}\\times D_{67}', 'supersolvable': True, 'sylow': 0}
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id: 2675269
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': False, 'central_factor': False, 'centralizer_order': 1675, 'characteristic': True, 'core_order': 1675, 'counter': 2, 'cyclic': True, 'direct': False, 'hall': 335, 'label': '3350.b.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1675.1', 'subgroup_hash': 1, 'subgroup_order': 1675, 'subgroup_tex': 'C_{1675}', 'supersolvable': True, 'sylow': 0}
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id: 2675270
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': False, 'central_factor': True, 'centralizer_order': 25, 'characteristic': True, 'core_order': 670, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3350.b.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '670.2', 'subgroup_hash': 2, 'subgroup_order': 670, 'subgroup_tex': 'C_5\\times D_{67}', 'supersolvable': True, 'sylow': 0}
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id: 2675271
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': False, 'central_factor': False, 'centralizer_order': 1675, 'characteristic': True, 'core_order': 335, 'counter': 4, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '3350.b.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '335.1', 'subgroup_hash': 1, 'subgroup_order': 335, 'subgroup_tex': 'C_{335}', 'supersolvable': True, 'sylow': 0}
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id: 2675272
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': False, 'central_factor': True, 'centralizer_order': 25, 'characteristic': True, 'core_order': 134, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 134, 'label': '3350.b.25.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '25.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '25.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 25, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{25}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '134.1', 'subgroup_hash': 1, 'subgroup_order': 134, 'subgroup_tex': 'D_{67}', 'supersolvable': True, 'sylow': 0}
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id: 2675273
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': False, 'central_factor': False, 'centralizer_order': 1675, 'characteristic': True, 'core_order': 67, 'counter': 6, 'cyclic': True, 'direct': False, 'hall': 67, 'label': '3350.b.50.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '50.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{50}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '67.1', 'subgroup_hash': 1, 'subgroup_order': 67, 'subgroup_tex': 'C_{67}', 'supersolvable': True, 'sylow': 67}
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id: 2675274
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 25, 'counter': 7, 'cyclic': True, 'direct': None, 'hall': 10, 'label': '3350.b.67.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '67.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 67, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.2', 'subgroup_hash': 2, 'subgroup_order': 50, 'subgroup_tex': 'C_{50}', 'supersolvable': True, 'sylow': 0}
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id: 2675275
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': True, 'central_factor': False, 'centralizer_order': 3350, 'characteristic': True, 'core_order': 25, 'counter': 8, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '3350.b.134.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '134.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '134.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 134, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{67}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '25.1', 'subgroup_hash': 1, 'subgroup_order': 25, 'subgroup_tex': 'C_{25}', 'supersolvable': True, 'sylow': 5}
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id: 2675276
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 5, 'counter': 9, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3350.b.335.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '335.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 335, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 2675266
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': True, 'central_factor': False, 'centralizer_order': 3350, 'characteristic': True, 'core_order': 5, 'counter': 10, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '3350.b.670.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '670.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '670.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 670, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{67}', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
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id: 2675267
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 11, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '3350.b.1675.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1675.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1675, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 2}
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id: 2675268
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3350.b', 'ambient_counter': 2, 'ambient_order': 3350, 'ambient_tex': 'C_{25}\\times D_{67}', 'central': True, 'central_factor': False, 'centralizer_order': 3350, 'characteristic': True, 'core_order': 1, 'counter': 12, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '3350.b.3350.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3350.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '3350.b', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 3350, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{25}\\times D_{67}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', '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: 2675265
{'ambient': '3350.b', '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': '134.a1.a1', 'complements': ['3350.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '5.a1.a1', '67.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2879, 6722, 6866, 6722, 3977, 4739, 3977, 5204], 'generators': [1, 402, 50, 2010], 'label': '3350.b.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '134.1', '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': '134.1'}
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id: 2675266
{'ambient': '3350.b', 'aut_centralizer_order': 22110, 'aut_label': '670.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 22110, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '134.a1.a1', '335.a1.a1'], 'contains': ['3350.a1.a1'], 'core': '670.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5211, 4170, 5000, 4170, 3865, 3284, 3865, 6729], 'generators': [2010], 'label': '3350.b.670.a1.a1', 'mobius_quo': -1, 'mobius_sub': -67, 'normal_closure': '670.a1.a1', 'normal_contained_in': ['10.a1.a1', '134.a1.a1'], 'normal_contains': ['3350.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '670.a1.a1', 'projective_image': '670.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '670.2', 'quotient_action_kernel_order': 670, 'quotient_fusion': None, 'short_label': '670.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 2675267
{'ambient': '3350.b', 'aut_centralizer_order': 1320, 'aut_label': '1675.a1', 'aut_quo_index': None, 'aut_stab_index': 67, 'aut_weyl_group': '1.1', 'aut_weyl_index': 88440, 'centralizer': '67.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['25.a1.a1', '335.a1.a1'], 'contains': ['3350.a1.a1'], 'core': '3350.a1.a1', 'coset_action_label': None, 'count': 67, 'diagramx': [8908, -1, 2900, -1, 8378, -1, 8378, -1], 'generators': [1], 'label': '3350.b.1675.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '25.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '67.a1.a1', 'old_label': '1675.a1.a1', 'projective_image': '3350.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1675.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 2675268
{'ambient': '3350.b', 'aut_centralizer_order': None, 'aut_label': '3350.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': ['50.a1.a1', '670.a1.a1', '1675.a1.a1'], 'contains': [], 'core': '3350.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7544, 5361, 2900, 5361, 6121, 4776, 6121, 5242], 'generators': [], 'label': '3350.b.3350.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '3350.a1.a1', 'normal_contained_in': ['50.a1.a1', '670.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '3350.a1.a1', 'projective_image': '3350.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3350.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 2675269
{'ambient': '3350.b', 'aut_centralizer_order': 67, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1320.130', 'aut_weyl_index': 67, 'centralizer': '2.a1.a1', 'complements': ['1675.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '134.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1092, 3914, 8964, 3914, 1241, 2239, 1241, 7732], 'generators': [402, 50, 2010], 'label': '3350.b.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.a1', '134.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '134.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 2675270
{'ambient': '3350.b', 'aut_centralizer_order': 5, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 5, 'centralizer': '134.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '25.a1.a1', '335.a1.a1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6328, 8212, 3425, 8212, 7532, 7276, 7532, 2714], 'generators': [1, 2010, 50], 'label': '3350.b.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.a1', '25.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '670.2', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '134.1'}
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id: 2675271
{'ambient': '3350.b', 'aut_centralizer_order': 335, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '264.28', 'aut_weyl_index': 335, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['50.a1.a1', '670.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4591, 5105, 4883, 5404, 3865, 4776, 3865, 5242], 'generators': [2010, 50], 'label': '3350.b.10.a1.a1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['50.a1.a1', '670.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '670.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 2675272
{'ambient': '3350.b', 'aut_centralizer_order': 20, 'aut_label': '25.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4422.18', 'aut_weyl_index': 20, 'centralizer': '134.a1.a1', 'complements': ['134.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1'], 'contains': ['50.a1.a1', '1675.a1.a1'], 'core': '25.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7891, 8511, 1036, 8511, 8999, 8246, 8999, 1784], 'generators': [1, 50], 'label': '3350.b.25.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '25.a1.a1', 'normal_contained_in': ['5.a1.a1'], 'normal_contains': ['50.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '25.a1.a1', 'projective_image': '3350.b', 'quotient_action_image': '1.1', 'quotient_action_kernel': '25.1', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '25.a1.a1', 'subgroup_fusion': None, 'weyl_group': '134.1'}
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id: 2675273
{'ambient': '3350.b', 'aut_centralizer_order': 1340, 'aut_label': '50.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '66.4', 'aut_weyl_index': 1340, 'centralizer': '2.a1.a1', 'complements': ['67.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '25.a1.a1'], 'contains': ['3350.a1.a1'], 'core': '50.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7866, 6850, 1123, 6850, 6121, 6269, 6121, 3755], 'generators': [50], 'label': '3350.b.50.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '50.a1.a1', 'normal_contained_in': ['10.a1.a1', '25.a1.a1'], 'normal_contains': ['3350.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '50.a1.a1', 'projective_image': '3350.b', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.1', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 2675274
{'ambient': '3350.b', 'aut_centralizer_order': 66, 'aut_label': '67.a1', 'aut_quo_index': None, 'aut_stab_index': 67, 'aut_weyl_group': '20.2', 'aut_weyl_index': 4422, 'centralizer': '67.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['134.a1.a1', '335.a1.a1'], 'core': '134.a1.a1', 'coset_action_label': None, 'count': 67, 'diagramx': [2854, -1, 6953, -1, 3977, -1, 3977, -1], 'generators': [1, 2010, 402], 'label': '3350.b.67.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '67.a1.a1', 'old_label': '67.a1.a1', 'projective_image': '134.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '67.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 2675275
{'ambient': '3350.b', 'aut_centralizer_order': 4422, 'aut_label': '134.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '20.2', 'aut_weyl_index': 4422, 'centralizer': '1.a1.a1', 'complements': ['25.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '67.a1.a1'], 'contains': ['670.a1.a1'], 'core': '134.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2854, 1489, 8061, 1489, 1241, 1306, 1241, 8699], 'generators': [402], 'label': '3350.b.134.a1.a1', 'mobius_quo': 0, 'mobius_sub': 67, 'normal_closure': '134.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['670.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '134.a1.a1', 'projective_image': '134.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '134.1', 'quotient_action_kernel_order': 134, 'quotient_fusion': None, 'short_label': '134.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 2675276
{'ambient': '3350.b', 'aut_centralizer_order': 330, 'aut_label': '335.a1', 'aut_quo_index': None, 'aut_stab_index': 67, 'aut_weyl_group': '4.1', 'aut_weyl_index': 22110, 'centralizer': '67.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '67.a1.a1'], 'contains': ['670.a1.a1', '1675.a1.a1'], 'core': '670.a1.a1', 'coset_action_label': None, 'count': 67, 'diagramx': [5980, -1, 3193, -1, 6488, -1, 6488, -1], 'generators': [1, 2010], 'label': '3350.b.335.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '67.a1.a1', 'old_label': '335.a1.a1', 'projective_image': '670.2', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '335.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}