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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '800.948', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 120, 'aut_gen_orders': [12, 4, 4, 8, 8, 20, 20], 'aut_gens': [[1, 2, 16, 160], [1, 11, 185, 1248], [801, 811, 824, 576], [9, 3, 857, 1248], [801, 95, 1016, 1248], [9, 83, 377, 1152], [9, 90, 721, 1504], [9, 2, 312, 1184]], 'aut_group': None, 'aut_hash': 2048208238781551685, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 491520, 'aut_permdeg': 56, 'aut_perms': [661871485034650194783841381935856665153976665324495660539202318636021575193, 647965519063767735608864223846308643204783831595941583907902005565373025676, 670408411410868003556551235787358522300790548438365356069563457017860647168, 671814863551634088814670741516797759690266355583097330458484571241857075588, 101315715449574605870262687623987216497691606097773398080844715524927280227, 166241419330442031358754101333671017505427426314907193327549769365206589892, 113391277619925086428789264834061676289566798197339144072845731239697916898], 'aut_phi_ratio': 768.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 1, 4, 1], [2, 2, 4, 1], [4, 1, 4, 2], [4, 2, 4, 1], [5, 1, 24, 1], [8, 2, 16, 1], [10, 1, 24, 3], [10, 1, 96, 1], [10, 2, 96, 1], [20, 1, 96, 2], [20, 2, 96, 1], [40, 2, 384, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^7.C_2^5.S_5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 120, 'autcent_group': None, 'autcent_hash': 6144963880117411462, 'autcent_nilpotent': False, 'autcent_order': 245760, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2\\times C_2^5.C_2^3\\times \\GL(2,5)', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 2, 'autcentquo_group': '2.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 2, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 2, 4], [4, 1, 8], [4, 2, 4], [5, 1, 24], [8, 2, 16], [10, 1, 168], [10, 2, 96], [20, 1, 192], [20, 2, 96], [40, 2, 384]], 'center_label': '400.201', 'center_order': 400, 'central_product': True, 'central_quotient': '4.2', 'commutator_count': 1, 'commutator_label': '2.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '5.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 5495, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['32.5', 1], ['5.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 2, 1, 4], [4, 1, 2, 4], [4, 2, 2, 2], [5, 1, 4, 6], [8, 2, 4, 4], [10, 1, 4, 42], [10, 2, 4, 24], [20, 1, 8, 24], [20, 2, 8, 12], [40, 2, 16, 24]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 2604, 'exponent': 40, 'exponents_of_order': [6, 2], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '200.52', 'hash': 5495, 'hyperelementary': 1, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [1, 2, 2, 1], 'inner_gens': [[1, 2, 16, 160], [1, 2, 816, 160], [1, 802, 16, 160], [1, 2, 16, 160]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 4, 'inner_split': False, 'inner_tex': 'C_2^2', 'inner_used': [2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 800], [2, 200]], 'label': '1600.5495', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C10^2.OD16', 'ngens': 8, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 20, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 1000, 'number_divisions': 154, 'number_normal_subgroups': 456, 'number_subgroup_autclasses': 126, 'number_subgroup_classes': 808, 'number_subgroups': 1160, 'old_label': None, 'order': 1600, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 15], [4, 16], [5, 24], [8, 32], [10, 360], [20, 384], [40, 768]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 120, 'outer_gen_orders': [12, 4, 4, 8, 8, 20, 20], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 11, 185, 1248], [801, 811, 824, 576], [9, 3, 857, 1248], [801, 95, 1016, 1248], [9, 83, 377, 1152], [9, 90, 721, 1504], [9, 2, 312, 1184]], 'outer_group': None, 'outer_hash': 8904253135100398360, 'outer_nilpotent': False, 'outer_order': 122880, 'outer_permdeg': 2560, 'outer_perms': 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'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_2^7.C_2^3.S_5', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 24, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 8, 5, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 8], [4, 54], [8, 48], [16, 36]], 'representations': {'PC': {'code': 103311048191623904324434133043, 'gens': [1, 2, 5, 7], 'pres': [8, -2, -2, -2, -2, -2, -5, -2, -5, 41, 66, 16332, 116, 166]}, 'GLZN': {'d': 2, 'p': 88, 'gens': [681481, 29644075, 30666285, 44811689, 44295681, 6133257, 16016551, 685345]}, 'Perm': {'d': 24, 'gens': [28207315931062913568000, 55083347173188659001600, 55083347173182392064000, 13412044800, 82261660440517189632000, 55083347171874717696000, 1451520, 96]}}, 'schur_multiplier': [2, 2, 2, 10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 10, 40], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{10}^2.\\OD_{16}', 'transitive_degree': 800, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 122395850
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 5495, 'group_order': 1600, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
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id: 122395962
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 5495, 'group_order': 1600, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 800, 'size': 1}
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id: 122396073
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 5495, 'group_order': 1600, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 808, 'size': 1}
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id: 122396184
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 5495, 'group_order': 1600, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 1, 'size': 1}
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id: 122396295
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 5495, 'group_order': 1600, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 801, 'size': 1}
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id: 122396406
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 5495, 'group_order': 1600, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 9, 'size': 1}
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id: 122396517
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 5495, 'group_order': 1600, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 809, 'size': 1}
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id: 122396628
{'aut_label': '2G', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 5495, 'group_order': 1600, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 8, 'size': 1}
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id: 122396739
{'aut_label': '2H', 'centralizer': '2.a1', 'counter': 9, 'group_counter': 5495, 'group_order': 1600, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 80, 'size': 2}
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id: 122395851
{'aut_label': '2H', 'centralizer': '2.a1', 'counter': 10, 'group_counter': 5495, 'group_order': 1600, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 88, 'size': 2}
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id: 122395863
{'aut_label': '2H', 'centralizer': '2.a1', 'counter': 11, 'group_counter': 5495, 'group_order': 1600, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 81, 'size': 2}
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id: 122395874
{'aut_label': '2H', 'centralizer': '2.a1', 'counter': 12, 'group_counter': 5495, 'group_order': 1600, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 89, 'size': 2}
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id: 122395885
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 5495, 'group_order': 1600, 'label': '4A1', 'order': 4, 'powers': [8, 13], 'representative': 5, 'size': 1}
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id: 122395896
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 5495, 'group_order': 1600, 'label': '4A-1', 'order': 4, 'powers': [8, 14], 'representative': 13, 'size': 1}
-
id: 122395907
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 5495, 'group_order': 1600, 'label': '4B1', 'order': 4, 'powers': [8, 15], 'representative': 805, 'size': 1}
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id: 122395918
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 5495, 'group_order': 1600, 'label': '4B-1', 'order': 4, 'powers': [8, 16], 'representative': 813, 'size': 1}
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id: 122395929
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 5495, 'group_order': 1600, 'label': '4C1', 'order': 4, 'powers': [8, 17], 'representative': 4, 'size': 1}
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id: 122395940
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 5495, 'group_order': 1600, 'label': '4C-1', 'order': 4, 'powers': [8, 18], 'representative': 12, 'size': 1}
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id: 122395951
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 19, 'group_counter': 5495, 'group_order': 1600, 'label': '4D1', 'order': 4, 'powers': [8, 19], 'representative': 804, 'size': 1}
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id: 122395963
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 5495, 'group_order': 1600, 'label': '4D-1', 'order': 4, 'powers': [8, 20], 'representative': 812, 'size': 1}
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id: 122395974
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 21, 'group_counter': 5495, 'group_order': 1600, 'label': '4E1', 'order': 4, 'powers': [8, 21], 'representative': 84, 'size': 2}
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id: 122395985
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 22, 'group_counter': 5495, 'group_order': 1600, 'label': '4E-1', 'order': 4, 'powers': [8, 22], 'representative': 92, 'size': 2}
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id: 122395996
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 23, 'group_counter': 5495, 'group_order': 1600, 'label': '4F1', 'order': 4, 'powers': [8, 23], 'representative': 85, 'size': 2}
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id: 122396007
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 24, 'group_counter': 5495, 'group_order': 1600, 'label': '4F-1', 'order': 4, 'powers': [8, 24], 'representative': 93, 'size': 2}
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id: 122396018
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 5495, 'group_order': 1600, 'label': '5A1', 'order': 5, 'powers': [27, 1], 'representative': 320, 'size': 1}
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id: 122396029
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 26, 'group_counter': 5495, 'group_order': 1600, 'label': '5A-1', 'order': 5, 'powers': [28, 1], 'representative': 1280, 'size': 1}
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id: 122396040
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 27, 'group_counter': 5495, 'group_order': 1600, 'label': '5A2', 'order': 5, 'powers': [26, 1], 'representative': 640, 'size': 1}
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id: 122396051
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 28, 'group_counter': 5495, 'group_order': 1600, 'label': '5A-2', 'order': 5, 'powers': [25, 1], 'representative': 960, 'size': 1}
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id: 122396062
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 5495, 'group_order': 1600, 'label': '5B1', 'order': 5, 'powers': [31, 1], 'representative': 384, 'size': 1}
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id: 122396074
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 5495, 'group_order': 1600, 'label': '5B-1', 'order': 5, 'powers': [32, 1], 'representative': 1376, 'size': 1}
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id: 122396085
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 31, 'group_counter': 5495, 'group_order': 1600, 'label': '5B2', 'order': 5, 'powers': [30, 1], 'representative': 768, 'size': 1}
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id: 122396096
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 32, 'group_counter': 5495, 'group_order': 1600, 'label': '5B-2', 'order': 5, 'powers': [29, 1], 'representative': 992, 'size': 1}
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id: 122396107
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 5495, 'group_order': 1600, 'label': '5C1', 'order': 5, 'powers': [35, 1], 'representative': 64, 'size': 1}
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id: 122396118
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 5495, 'group_order': 1600, 'label': '5C-1', 'order': 5, 'powers': [36, 1], 'representative': 96, 'size': 1}
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id: 122396129
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 5495, 'group_order': 1600, 'label': '5C2', 'order': 5, 'powers': [34, 1], 'representative': 128, 'size': 1}
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id: 122396140
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 5495, 'group_order': 1600, 'label': '5C-2', 'order': 5, 'powers': [33, 1], 'representative': 32, 'size': 1}
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id: 122396151
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 5495, 'group_order': 1600, 'label': '5D1', 'order': 5, 'powers': [39, 1], 'representative': 448, 'size': 1}
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id: 122396162
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 5495, 'group_order': 1600, 'label': '5D-1', 'order': 5, 'powers': [40, 1], 'representative': 1312, 'size': 1}
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id: 122396173
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 5495, 'group_order': 1600, 'label': '5D2', 'order': 5, 'powers': [38, 1], 'representative': 736, 'size': 1}
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id: 122396185
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 5495, 'group_order': 1600, 'label': '5D-2', 'order': 5, 'powers': [37, 1], 'representative': 1024, 'size': 1}
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id: 122396196
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 41, 'group_counter': 5495, 'group_order': 1600, 'label': '5E1', 'order': 5, 'powers': [43, 1], 'representative': 352, 'size': 1}
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id: 122396207
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 5495, 'group_order': 1600, 'label': '5E-1', 'order': 5, 'powers': [44, 1], 'representative': 1408, 'size': 1}
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id: 122396218
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 43, 'group_counter': 5495, 'group_order': 1600, 'label': '5E2', 'order': 5, 'powers': [42, 1], 'representative': 704, 'size': 1}
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id: 122396229
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 44, 'group_counter': 5495, 'group_order': 1600, 'label': '5E-2', 'order': 5, 'powers': [41, 1], 'representative': 1056, 'size': 1}
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id: 122396240
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 45, 'group_counter': 5495, 'group_order': 1600, 'label': '5F1', 'order': 5, 'powers': [47, 1], 'representative': 416, 'size': 1}
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id: 122396251
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 46, 'group_counter': 5495, 'group_order': 1600, 'label': '5F-1', 'order': 5, 'powers': [48, 1], 'representative': 1344, 'size': 1}
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id: 122396262
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 47, 'group_counter': 5495, 'group_order': 1600, 'label': '5F2', 'order': 5, 'powers': [46, 1], 'representative': 672, 'size': 1}
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id: 122396273
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 48, 'group_counter': 5495, 'group_order': 1600, 'label': '5F-2', 'order': 5, 'powers': [45, 1], 'representative': 1088, 'size': 1}
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id: 122396284
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 49, 'group_counter': 5495, 'group_order': 1600, 'label': '8A1', 'order': 8, 'powers': [17, 52], 'representative': 10, 'size': 2}
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id: 122396296
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 50, 'group_counter': 5495, 'group_order': 1600, 'label': '8A-1', 'order': 8, 'powers': [18, 51], 'representative': 6, 'size': 2}
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id: 122396307
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 51, 'group_counter': 5495, 'group_order': 1600, 'label': '8A3', 'order': 8, 'powers': [18, 50], 'representative': 14, 'size': 2}
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id: 122396318
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 52, 'group_counter': 5495, 'group_order': 1600, 'label': '8A-3', 'order': 8, 'powers': [17, 49], 'representative': 2, 'size': 2}
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id: 122396329
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 53, 'group_counter': 5495, 'group_order': 1600, 'label': '8B1', 'order': 8, 'powers': [19, 56], 'representative': 90, 'size': 2}
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id: 122396340
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 54, 'group_counter': 5495, 'group_order': 1600, 'label': '8B-1', 'order': 8, 'powers': [20, 55], 'representative': 886, 'size': 2}
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id: 122396351
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 55, 'group_counter': 5495, 'group_order': 1600, 'label': '8B3', 'order': 8, 'powers': [20, 54], 'representative': 894, 'size': 2}
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id: 122396362
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 56, 'group_counter': 5495, 'group_order': 1600, 'label': '8B-3', 'order': 8, 'powers': [19, 53], 'representative': 82, 'size': 2}
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id: 122396373
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 57, 'group_counter': 5495, 'group_order': 1600, 'label': '8C1', 'order': 8, 'powers': [17, 60], 'representative': 11, 'size': 2}
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id: 122396384
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 58, 'group_counter': 5495, 'group_order': 1600, 'label': '8C-1', 'order': 8, 'powers': [18, 59], 'representative': 7, 'size': 2}
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id: 122396395
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 59, 'group_counter': 5495, 'group_order': 1600, 'label': '8C3', 'order': 8, 'powers': [18, 58], 'representative': 15, 'size': 2}
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id: 122396407
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 60, 'group_counter': 5495, 'group_order': 1600, 'label': '8C-3', 'order': 8, 'powers': [17, 57], 'representative': 3, 'size': 2}
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id: 122396418
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 61, 'group_counter': 5495, 'group_order': 1600, 'label': '8D1', 'order': 8, 'powers': [19, 64], 'representative': 91, 'size': 2}
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id: 122396429
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 62, 'group_counter': 5495, 'group_order': 1600, 'label': '8D-1', 'order': 8, 'powers': [20, 63], 'representative': 887, 'size': 2}
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id: 122396440
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 63, 'group_counter': 5495, 'group_order': 1600, 'label': '8D3', 'order': 8, 'powers': [20, 62], 'representative': 895, 'size': 2}
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id: 122396451
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 64, 'group_counter': 5495, 'group_order': 1600, 'label': '8D-3', 'order': 8, 'powers': [19, 61], 'representative': 83, 'size': 2}
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id: 122396462
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 65, 'group_counter': 5495, 'group_order': 1600, 'label': '10A1', 'order': 10, 'powers': [25, 2], 'representative': 160, 'size': 1}
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id: 122396473
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 66, 'group_counter': 5495, 'group_order': 1600, 'label': '10A-1', 'order': 10, 'powers': [26, 2], 'representative': 1440, 'size': 1}
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id: 122396484
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 67, 'group_counter': 5495, 'group_order': 1600, 'label': '10A3', 'order': 10, 'powers': [28, 2], 'representative': 480, 'size': 1}
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id: 122396495
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 68, 'group_counter': 5495, 'group_order': 1600, 'label': '10A-3', 'order': 10, 'powers': [27, 2], 'representative': 1120, 'size': 1}
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id: 122396506
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 5495, 'group_order': 1600, 'label': '10B1', 'order': 10, 'powers': [29, 2], 'representative': 192, 'size': 1}
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id: 122396518
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 5495, 'group_order': 1600, 'label': '10B-1', 'order': 10, 'powers': [30, 2], 'representative': 1568, 'size': 1}
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id: 122396529
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 71, 'group_counter': 5495, 'group_order': 1600, 'label': '10B3', 'order': 10, 'powers': [32, 2], 'representative': 576, 'size': 1}
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id: 122396540
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 72, 'group_counter': 5495, 'group_order': 1600, 'label': '10B-3', 'order': 10, 'powers': [31, 2], 'representative': 1184, 'size': 1}
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id: 122396551
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 5495, 'group_order': 1600, 'label': '10C1', 'order': 10, 'powers': [25, 3], 'representative': 168, 'size': 1}
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id: 122396562
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 5495, 'group_order': 1600, 'label': '10C-1', 'order': 10, 'powers': [26, 3], 'representative': 1448, 'size': 1}
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id: 122396573
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 5495, 'group_order': 1600, 'label': '10C3', 'order': 10, 'powers': [28, 3], 'representative': 488, 'size': 1}
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id: 122396584
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 5495, 'group_order': 1600, 'label': '10C-3', 'order': 10, 'powers': [27, 3], 'representative': 1128, 'size': 1}
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id: 122396595
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 5495, 'group_order': 1600, 'label': '10D1', 'order': 10, 'powers': [27, 4], 'representative': 321, 'size': 1}
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id: 122396606
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 5495, 'group_order': 1600, 'label': '10D-1', 'order': 10, 'powers': [28, 4], 'representative': 1281, 'size': 1}
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id: 122396617
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 5495, 'group_order': 1600, 'label': '10D3', 'order': 10, 'powers': [25, 4], 'representative': 961, 'size': 1}
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id: 122396629
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 5495, 'group_order': 1600, 'label': '10D-3', 'order': 10, 'powers': [26, 4], 'representative': 641, 'size': 1}
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id: 122396640
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 81, 'group_counter': 5495, 'group_order': 1600, 'label': '10E1', 'order': 10, 'powers': [25, 5], 'representative': 161, 'size': 1}
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id: 122396651
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 82, 'group_counter': 5495, 'group_order': 1600, 'label': '10E-1', 'order': 10, 'powers': [26, 5], 'representative': 1441, 'size': 1}
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id: 122396662
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 83, 'group_counter': 5495, 'group_order': 1600, 'label': '10E3', 'order': 10, 'powers': [28, 5], 'representative': 481, 'size': 1}
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id: 122396673
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 84, 'group_counter': 5495, 'group_order': 1600, 'label': '10E-3', 'order': 10, 'powers': [27, 5], 'representative': 1121, 'size': 1}
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id: 122396684
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 85, 'group_counter': 5495, 'group_order': 1600, 'label': '10F1', 'order': 10, 'powers': [33, 4], 'representative': 33, 'size': 1}
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id: 122396695
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 86, 'group_counter': 5495, 'group_order': 1600, 'label': '10F-1', 'order': 10, 'powers': [34, 4], 'representative': 129, 'size': 1}
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id: 122396706
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 87, 'group_counter': 5495, 'group_order': 1600, 'label': '10F3', 'order': 10, 'powers': [36, 4], 'representative': 97, 'size': 1}
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id: 122396717
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 88, 'group_counter': 5495, 'group_order': 1600, 'label': '10F-3', 'order': 10, 'powers': [35, 4], 'representative': 65, 'size': 1}
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id: 122396728
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 89, 'group_counter': 5495, 'group_order': 1600, 'label': '10G1', 'order': 10, 'powers': [37, 2], 'representative': 224, 'size': 1}
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id: 122396740
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 90, 'group_counter': 5495, 'group_order': 1600, 'label': '10G-1', 'order': 10, 'powers': [38, 2], 'representative': 1536, 'size': 1}
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id: 122396751
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 91, 'group_counter': 5495, 'group_order': 1600, 'label': '10G3', 'order': 10, 'powers': [40, 2], 'representative': 512, 'size': 1}
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id: 122396762
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 92, 'group_counter': 5495, 'group_order': 1600, 'label': '10G-3', 'order': 10, 'powers': [39, 2], 'representative': 1248, 'size': 1}
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id: 122396773
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 93, 'group_counter': 5495, 'group_order': 1600, 'label': '10H1', 'order': 10, 'powers': [41, 2], 'representative': 256, 'size': 1}
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id: 122396784
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 94, 'group_counter': 5495, 'group_order': 1600, 'label': '10H-1', 'order': 10, 'powers': [42, 2], 'representative': 1504, 'size': 1}
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id: 122396795
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 95, 'group_counter': 5495, 'group_order': 1600, 'label': '10H3', 'order': 10, 'powers': [44, 2], 'representative': 608, 'size': 1}
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id: 122396806
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 96, 'group_counter': 5495, 'group_order': 1600, 'label': '10H-3', 'order': 10, 'powers': [43, 2], 'representative': 1152, 'size': 1}
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id: 122396817
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 97, 'group_counter': 5495, 'group_order': 1600, 'label': '10I1', 'order': 10, 'powers': [45, 2], 'representative': 288, 'size': 1}
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id: 122396828
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 98, 'group_counter': 5495, 'group_order': 1600, 'label': '10I-1', 'order': 10, 'powers': [46, 2], 'representative': 1472, 'size': 1}
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id: 122396839
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 99, 'group_counter': 5495, 'group_order': 1600, 'label': '10I3', 'order': 10, 'powers': [48, 2], 'representative': 544, 'size': 1}
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id: 122395852
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 100, 'group_counter': 5495, 'group_order': 1600, 'label': '10I-3', 'order': 10, 'powers': [47, 2], 'representative': 1216, 'size': 1}
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id: 122395854
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 101, 'group_counter': 5495, 'group_order': 1600, 'label': '10J1', 'order': 10, 'powers': [29, 3], 'representative': 200, 'size': 1}
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id: 122395855
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 102, 'group_counter': 5495, 'group_order': 1600, 'label': '10J-1', 'order': 10, 'powers': [30, 3], 'representative': 1576, 'size': 1}
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id: 122395856
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 103, 'group_counter': 5495, 'group_order': 1600, 'label': '10J3', 'order': 10, 'powers': [32, 3], 'representative': 584, 'size': 1}
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id: 122395857
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 104, 'group_counter': 5495, 'group_order': 1600, 'label': '10J-3', 'order': 10, 'powers': [31, 3], 'representative': 1192, 'size': 1}
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id: 122395858
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 105, 'group_counter': 5495, 'group_order': 1600, 'label': '10K1', 'order': 10, 'powers': [43, 4], 'representative': 353, 'size': 1}
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id: 122395859
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 106, 'group_counter': 5495, 'group_order': 1600, 'label': '10K-1', 'order': 10, 'powers': [44, 4], 'representative': 1409, 'size': 1}
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id: 122395860
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 107, 'group_counter': 5495, 'group_order': 1600, 'label': '10K3', 'order': 10, 'powers': [41, 4], 'representative': 1057, 'size': 1}
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id: 122395861
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 108, 'group_counter': 5495, 'group_order': 1600, 'label': '10K-3', 'order': 10, 'powers': [42, 4], 'representative': 705, 'size': 1}
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id: 122395862
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 109, 'group_counter': 5495, 'group_order': 1600, 'label': '10L1', 'order': 10, 'powers': [29, 5], 'representative': 193, 'size': 1}
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id: 122395864
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id: 122395865
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id: 122395866
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id: 122395867
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 113, 'group_counter': 5495, 'group_order': 1600, 'label': '10M1', 'order': 10, 'powers': [27, 6], 'representative': 329, 'size': 1}
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id: 122395868
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 114, 'group_counter': 5495, 'group_order': 1600, 'label': '10M-1', 'order': 10, 'powers': [28, 6], 'representative': 1289, 'size': 1}
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id: 122395869
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 115, 'group_counter': 5495, 'group_order': 1600, 'label': '10M3', 'order': 10, 'powers': [25, 6], 'representative': 969, 'size': 1}
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id: 122395870
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 116, 'group_counter': 5495, 'group_order': 1600, 'label': '10M-3', 'order': 10, 'powers': [26, 6], 'representative': 649, 'size': 1}
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id: 122395871
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 117, 'group_counter': 5495, 'group_order': 1600, 'label': '10N1', 'order': 10, 'powers': [25, 7], 'representative': 169, 'size': 1}
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id: 122395872
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 118, 'group_counter': 5495, 'group_order': 1600, 'label': '10N-1', 'order': 10, 'powers': [26, 7], 'representative': 1449, 'size': 1}
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id: 122395873
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 119, 'group_counter': 5495, 'group_order': 1600, 'label': '10N3', 'order': 10, 'powers': [28, 7], 'representative': 489, 'size': 1}
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id: 122395875
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 120, 'group_counter': 5495, 'group_order': 1600, 'label': '10N-3', 'order': 10, 'powers': [27, 7], 'representative': 1129, 'size': 1}
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id: 122395876
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 121, 'group_counter': 5495, 'group_order': 1600, 'label': '10O1', 'order': 10, 'powers': [33, 6], 'representative': 41, 'size': 1}
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id: 122395877
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 122, 'group_counter': 5495, 'group_order': 1600, 'label': '10O-1', 'order': 10, 'powers': [34, 6], 'representative': 137, 'size': 1}
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id: 122395878
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 123, 'group_counter': 5495, 'group_order': 1600, 'label': '10O3', 'order': 10, 'powers': [36, 6], 'representative': 105, 'size': 1}
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id: 122395879
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 124, 'group_counter': 5495, 'group_order': 1600, 'label': '10O-3', 'order': 10, 'powers': [35, 6], 'representative': 73, 'size': 1}
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id: 122395880
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 125, 'group_counter': 5495, 'group_order': 1600, 'label': '10P1', 'order': 10, 'powers': [33, 2], 'representative': 832, 'size': 1}
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id: 122395881
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 126, 'group_counter': 5495, 'group_order': 1600, 'label': '10P-1', 'order': 10, 'powers': [34, 2], 'representative': 928, 'size': 1}
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id: 122395882
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 127, 'group_counter': 5495, 'group_order': 1600, 'label': '10P3', 'order': 10, 'powers': [36, 2], 'representative': 896, 'size': 1}
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id: 122395883
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 128, 'group_counter': 5495, 'group_order': 1600, 'label': '10P-3', 'order': 10, 'powers': [35, 2], 'representative': 864, 'size': 1}
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id: 122395884
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 129, 'group_counter': 5495, 'group_order': 1600, 'label': '10Q1', 'order': 10, 'powers': [37, 3], 'representative': 232, 'size': 1}
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id: 122395886
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 130, 'group_counter': 5495, 'group_order': 1600, 'label': '10Q-1', 'order': 10, 'powers': [38, 3], 'representative': 1544, 'size': 1}
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id: 122395887
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 131, 'group_counter': 5495, 'group_order': 1600, 'label': '10Q3', 'order': 10, 'powers': [40, 3], 'representative': 520, 'size': 1}
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id: 122395888
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 132, 'group_counter': 5495, 'group_order': 1600, 'label': '10Q-3', 'order': 10, 'powers': [39, 3], 'representative': 1256, 'size': 1}
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id: 122395889
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 133, 'group_counter': 5495, 'group_order': 1600, 'label': '10R1', 'order': 10, 'powers': [46, 4], 'representative': 673, 'size': 1}
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id: 122395890
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 134, 'group_counter': 5495, 'group_order': 1600, 'label': '10R-1', 'order': 10, 'powers': [45, 4], 'representative': 1089, 'size': 1}
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id: 122395891
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 135, 'group_counter': 5495, 'group_order': 1600, 'label': '10R3', 'order': 10, 'powers': [47, 4], 'representative': 417, 'size': 1}
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id: 122395892
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 136, 'group_counter': 5495, 'group_order': 1600, 'label': '10R-3', 'order': 10, 'powers': [48, 4], 'representative': 1345, 'size': 1}
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id: 122395893
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 137, 'group_counter': 5495, 'group_order': 1600, 'label': '10S1', 'order': 10, 'powers': [31, 4], 'representative': 385, 'size': 1}
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id: 122395894
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 138, 'group_counter': 5495, 'group_order': 1600, 'label': '10S-1', 'order': 10, 'powers': [32, 4], 'representative': 1377, 'size': 1}
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id: 122395895
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 139, 'group_counter': 5495, 'group_order': 1600, 'label': '10S3', 'order': 10, 'powers': [29, 4], 'representative': 993, 'size': 1}
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id: 122395897
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 140, 'group_counter': 5495, 'group_order': 1600, 'label': '10S-3', 'order': 10, 'powers': [30, 4], 'representative': 769, 'size': 1}
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id: 122395898
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 141, 'group_counter': 5495, 'group_order': 1600, 'label': '10T1', 'order': 10, 'powers': [37, 5], 'representative': 225, 'size': 1}
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id: 122395899
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 142, 'group_counter': 5495, 'group_order': 1600, 'label': '10T-1', 'order': 10, 'powers': [38, 5], 'representative': 1537, 'size': 1}
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id: 122395900
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 143, 'group_counter': 5495, 'group_order': 1600, 'label': '10T3', 'order': 10, 'powers': [40, 5], 'representative': 513, 'size': 1}
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id: 122395901
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 144, 'group_counter': 5495, 'group_order': 1600, 'label': '10T-3', 'order': 10, 'powers': [39, 5], 'representative': 1249, 'size': 1}
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id: 122395902
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 145, 'group_counter': 5495, 'group_order': 1600, 'label': '10U1', 'order': 10, 'powers': [41, 3], 'representative': 264, 'size': 1}
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id: 122395903
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 146, 'group_counter': 5495, 'group_order': 1600, 'label': '10U-1', 'order': 10, 'powers': [42, 3], 'representative': 1512, 'size': 1}
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id: 122395904
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 147, 'group_counter': 5495, 'group_order': 1600, 'label': '10U3', 'order': 10, 'powers': [44, 3], 'representative': 616, 'size': 1}
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id: 122395905
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 148, 'group_counter': 5495, 'group_order': 1600, 'label': '10U-3', 'order': 10, 'powers': [43, 3], 'representative': 1160, 'size': 1}
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id: 122395906
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 149, 'group_counter': 5495, 'group_order': 1600, 'label': '10V1', 'order': 10, 'powers': [41, 5], 'representative': 257, 'size': 1}
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id: 122395908
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 150, 'group_counter': 5495, 'group_order': 1600, 'label': '10V-1', 'order': 10, 'powers': [42, 5], 'representative': 1505, 'size': 1}
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id: 122395909
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 151, 'group_counter': 5495, 'group_order': 1600, 'label': '10V3', 'order': 10, 'powers': [44, 5], 'representative': 609, 'size': 1}
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id: 122395910
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 152, 'group_counter': 5495, 'group_order': 1600, 'label': '10V-3', 'order': 10, 'powers': [43, 5], 'representative': 1153, 'size': 1}
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id: 122395911
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 153, 'group_counter': 5495, 'group_order': 1600, 'label': '10W1', 'order': 10, 'powers': [45, 3], 'representative': 296, 'size': 1}
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id: 122395912
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 154, 'group_counter': 5495, 'group_order': 1600, 'label': '10W-1', 'order': 10, 'powers': [46, 3], 'representative': 1480, 'size': 1}
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id: 122395913
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 155, 'group_counter': 5495, 'group_order': 1600, 'label': '10W3', 'order': 10, 'powers': [48, 3], 'representative': 552, 'size': 1}
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id: 122395914
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 156, 'group_counter': 5495, 'group_order': 1600, 'label': '10W-3', 'order': 10, 'powers': [47, 3], 'representative': 1224, 'size': 1}
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id: 122395915
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 157, 'group_counter': 5495, 'group_order': 1600, 'label': '10X1', 'order': 10, 'powers': [40, 4], 'representative': 1313, 'size': 1}
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id: 122395916
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 158, 'group_counter': 5495, 'group_order': 1600, 'label': '10X-1', 'order': 10, 'powers': [39, 4], 'representative': 449, 'size': 1}
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id: 122395917
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 159, 'group_counter': 5495, 'group_order': 1600, 'label': '10X3', 'order': 10, 'powers': [38, 4], 'representative': 737, 'size': 1}
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id: 122395919
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 160, 'group_counter': 5495, 'group_order': 1600, 'label': '10X-3', 'order': 10, 'powers': [37, 4], 'representative': 1025, 'size': 1}
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id: 122395920
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 161, 'group_counter': 5495, 'group_order': 1600, 'label': '10Y1', 'order': 10, 'powers': [45, 5], 'representative': 289, 'size': 1}
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id: 122395921
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 162, 'group_counter': 5495, 'group_order': 1600, 'label': '10Y-1', 'order': 10, 'powers': [46, 5], 'representative': 1473, 'size': 1}
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id: 122395922
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 163, 'group_counter': 5495, 'group_order': 1600, 'label': '10Y3', 'order': 10, 'powers': [48, 5], 'representative': 545, 'size': 1}
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id: 122395923
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 164, 'group_counter': 5495, 'group_order': 1600, 'label': '10Y-3', 'order': 10, 'powers': [47, 5], 'representative': 1217, 'size': 1}
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id: 122395924
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 165, 'group_counter': 5495, 'group_order': 1600, 'label': '10Z1', 'order': 10, 'powers': [43, 6], 'representative': 361, 'size': 1}
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id: 122395925
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 166, 'group_counter': 5495, 'group_order': 1600, 'label': '10Z-1', 'order': 10, 'powers': [44, 6], 'representative': 1417, 'size': 1}
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id: 122395926
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 167, 'group_counter': 5495, 'group_order': 1600, 'label': '10Z3', 'order': 10, 'powers': [41, 6], 'representative': 1065, 'size': 1}
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id: 122395927
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 168, 'group_counter': 5495, 'group_order': 1600, 'label': '10Z-3', 'order': 10, 'powers': [42, 6], 'representative': 713, 'size': 1}
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id: 122395928
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 169, 'group_counter': 5495, 'group_order': 1600, 'label': '10AA1', 'order': 10, 'powers': [29, 7], 'representative': 201, 'size': 1}
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id: 122395930
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 170, 'group_counter': 5495, 'group_order': 1600, 'label': '10AA-1', 'order': 10, 'powers': [30, 7], 'representative': 1577, 'size': 1}
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id: 122395931
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 171, 'group_counter': 5495, 'group_order': 1600, 'label': '10AA3', 'order': 10, 'powers': [32, 7], 'representative': 585, 'size': 1}
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id: 122395932
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 172, 'group_counter': 5495, 'group_order': 1600, 'label': '10AA-3', 'order': 10, 'powers': [31, 7], 'representative': 1193, 'size': 1}
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id: 122395933
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 173, 'group_counter': 5495, 'group_order': 1600, 'label': '10AB1', 'order': 10, 'powers': [33, 3], 'representative': 840, 'size': 1}
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id: 122395934
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 174, 'group_counter': 5495, 'group_order': 1600, 'label': '10AB-1', 'order': 10, 'powers': [34, 3], 'representative': 936, 'size': 1}
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id: 122395935
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 175, 'group_counter': 5495, 'group_order': 1600, 'label': '10AB3', 'order': 10, 'powers': [36, 3], 'representative': 904, 'size': 1}
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id: 122395936
{'aut_label': '10C1', 'centralizer': '1.a1', 'counter': 176, 'group_counter': 5495, 'group_order': 1600, 'label': '10AB-3', 'order': 10, 'powers': [35, 3], 'representative': 872, 'size': 1}
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id: 122395937
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 177, 'group_counter': 5495, 'group_order': 1600, 'label': '10AC1', 'order': 10, 'powers': [33, 5], 'representative': 833, 'size': 1}
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id: 122395938
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 178, 'group_counter': 5495, 'group_order': 1600, 'label': '10AC-1', 'order': 10, 'powers': [34, 5], 'representative': 929, 'size': 1}
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id: 122395939
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 179, 'group_counter': 5495, 'group_order': 1600, 'label': '10AC3', 'order': 10, 'powers': [36, 5], 'representative': 897, 'size': 1}
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id: 122395941
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 180, 'group_counter': 5495, 'group_order': 1600, 'label': '10AC-3', 'order': 10, 'powers': [35, 5], 'representative': 865, 'size': 1}
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id: 122395942
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 181, 'group_counter': 5495, 'group_order': 1600, 'label': '10AD1', 'order': 10, 'powers': [46, 6], 'representative': 681, 'size': 1}
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id: 122395943
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 182, 'group_counter': 5495, 'group_order': 1600, 'label': '10AD-1', 'order': 10, 'powers': [45, 6], 'representative': 1097, 'size': 1}
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id: 122395944
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 183, 'group_counter': 5495, 'group_order': 1600, 'label': '10AD3', 'order': 10, 'powers': [47, 6], 'representative': 425, 'size': 1}
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id: 122395945
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 184, 'group_counter': 5495, 'group_order': 1600, 'label': '10AD-3', 'order': 10, 'powers': [48, 6], 'representative': 1353, 'size': 1}
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id: 122395946
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 185, 'group_counter': 5495, 'group_order': 1600, 'label': '10AE1', 'order': 10, 'powers': [31, 6], 'representative': 393, 'size': 1}
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id: 122395947
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 186, 'group_counter': 5495, 'group_order': 1600, 'label': '10AE-1', 'order': 10, 'powers': [32, 6], 'representative': 1385, 'size': 1}
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id: 122395948
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 187, 'group_counter': 5495, 'group_order': 1600, 'label': '10AE3', 'order': 10, 'powers': [29, 6], 'representative': 1001, 'size': 1}
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id: 122395949
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 188, 'group_counter': 5495, 'group_order': 1600, 'label': '10AE-3', 'order': 10, 'powers': [30, 6], 'representative': 777, 'size': 1}
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id: 122395950
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 189, 'group_counter': 5495, 'group_order': 1600, 'label': '10AF1', 'order': 10, 'powers': [37, 7], 'representative': 233, 'size': 1}
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id: 122395952
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 190, 'group_counter': 5495, 'group_order': 1600, 'label': '10AF-1', 'order': 10, 'powers': [38, 7], 'representative': 1545, 'size': 1}
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id: 122395953
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 191, 'group_counter': 5495, 'group_order': 1600, 'label': '10AF3', 'order': 10, 'powers': [40, 7], 'representative': 521, 'size': 1}
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id: 122395954
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 192, 'group_counter': 5495, 'group_order': 1600, 'label': '10AF-3', 'order': 10, 'powers': [39, 7], 'representative': 1257, 'size': 1}
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id: 122395955
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 193, 'group_counter': 5495, 'group_order': 1600, 'label': '10AG1', 'order': 10, 'powers': [41, 7], 'representative': 265, 'size': 1}
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id: 122395956
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 194, 'group_counter': 5495, 'group_order': 1600, 'label': '10AG-1', 'order': 10, 'powers': [42, 7], 'representative': 1513, 'size': 1}
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id: 122395957
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 195, 'group_counter': 5495, 'group_order': 1600, 'label': '10AG3', 'order': 10, 'powers': [44, 7], 'representative': 617, 'size': 1}
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id: 122395958
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 196, 'group_counter': 5495, 'group_order': 1600, 'label': '10AG-3', 'order': 10, 'powers': [43, 7], 'representative': 1161, 'size': 1}
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id: 122395959
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 197, 'group_counter': 5495, 'group_order': 1600, 'label': '10AH1', 'order': 10, 'powers': [40, 6], 'representative': 1321, 'size': 1}
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id: 122395960
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 198, 'group_counter': 5495, 'group_order': 1600, 'label': '10AH-1', 'order': 10, 'powers': [39, 6], 'representative': 457, 'size': 1}
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id: 122395961
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 199, 'group_counter': 5495, 'group_order': 1600, 'label': '10AH3', 'order': 10, 'powers': [38, 6], 'representative': 745, 'size': 1}
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id: 122395964
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 200, 'group_counter': 5495, 'group_order': 1600, 'label': '10AH-3', 'order': 10, 'powers': [37, 6], 'representative': 1033, 'size': 1}
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id: 122395965
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 201, 'group_counter': 5495, 'group_order': 1600, 'label': '10AI1', 'order': 10, 'powers': [45, 7], 'representative': 297, 'size': 1}
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id: 122395966
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 202, 'group_counter': 5495, 'group_order': 1600, 'label': '10AI-1', 'order': 10, 'powers': [46, 7], 'representative': 1481, 'size': 1}
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id: 122395967
{'aut_label': '10D1', 'centralizer': '1.a1', 'counter': 203, 'group_counter': 5495, 'group_order': 1600, 'label': '10AI3', 'order': 10, 'powers': [48, 7], 'representative': 553, 'size': 1}
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id: 122395968
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id: 122395970
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id: 122395971
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id: 122395972
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id: 122395973
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id: 122395975
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id: 122395976
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id: 122395977
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id: 122395978
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id: 122395979
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id: 122395980
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id: 122395981
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id: 122395982
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id: 122395983
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id: 122395984
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id: 122395986
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id: 122395987
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id: 122395988
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id: 122395989
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id: 122395990
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id: 122395991
{'aut_label': '10AK1', 'centralizer': '1.a1', 'counter': 225, 'group_counter': 5495, 'group_order': 1600, 'label': '10AO1', 'order': 10, 'powers': [48, 8], 'representative': 1352, 'size': 1}
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id: 122395992
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id: 122395993
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id: 122395994
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id: 122395995
{'aut_label': '10AK1', 'centralizer': '1.a1', 'counter': 229, 'group_counter': 5495, 'group_order': 1600, 'label': '10AP1', 'order': 10, 'powers': [39, 8], 'representative': 456, 'size': 1}
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id: 122395997
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id: 122395998
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id: 122395999
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id: 122396000
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id: 122396001
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id: 122396002
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id: 122396003
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id: 122396004
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id: 122396005
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id: 122396006
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 239, 'group_counter': 5495, 'group_order': 1600, 'label': '10AR3', 'order': 10, 'powers': [45, 9], 'representative': 208, 'size': 2}
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id: 122396008
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id: 122396009
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 241, 'group_counter': 5495, 'group_order': 1600, 'label': '10AS1', 'order': 10, 'powers': [41, 9], 'representative': 176, 'size': 2}
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id: 122396010
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 242, 'group_counter': 5495, 'group_order': 1600, 'label': '10AS-1', 'order': 10, 'powers': [42, 9], 'representative': 784, 'size': 2}
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id: 122396011
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 243, 'group_counter': 5495, 'group_order': 1600, 'label': '10AS3', 'order': 10, 'powers': [44, 9], 'representative': 1328, 'size': 2}
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id: 122396012
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 244, 'group_counter': 5495, 'group_order': 1600, 'label': '10AS-3', 'order': 10, 'powers': [43, 9], 'representative': 432, 'size': 2}
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id: 122396013
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 245, 'group_counter': 5495, 'group_order': 1600, 'label': '10AT1', 'order': 10, 'powers': [36, 10], 'representative': 24, 'size': 2}
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id: 122396014
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id: 122396015
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 247, 'group_counter': 5495, 'group_order': 1600, 'label': '10AT3', 'order': 10, 'powers': [34, 10], 'representative': 56, 'size': 2}
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id: 122396016
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 248, 'group_counter': 5495, 'group_order': 1600, 'label': '10AT-3', 'order': 10, 'powers': [33, 10], 'representative': 120, 'size': 2}
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id: 122396017
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 249, 'group_counter': 5495, 'group_order': 1600, 'label': '10AU1', 'order': 10, 'powers': [36, 11], 'representative': 17, 'size': 2}
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id: 122396019
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 250, 'group_counter': 5495, 'group_order': 1600, 'label': '10AU-1', 'order': 10, 'powers': [35, 11], 'representative': 145, 'size': 2}
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id: 122396020
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 251, 'group_counter': 5495, 'group_order': 1600, 'label': '10AU3', 'order': 10, 'powers': [34, 11], 'representative': 49, 'size': 2}
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id: 122396021
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 252, 'group_counter': 5495, 'group_order': 1600, 'label': '10AU-3', 'order': 10, 'powers': [33, 11], 'representative': 113, 'size': 2}
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id: 122396022
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 253, 'group_counter': 5495, 'group_order': 1600, 'label': '10AV1', 'order': 10, 'powers': [38, 9], 'representative': 656, 'size': 2}
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id: 122396023
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 254, 'group_counter': 5495, 'group_order': 1600, 'label': '10AV-1', 'order': 10, 'powers': [37, 9], 'representative': 304, 'size': 2}
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id: 122396024
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 255, 'group_counter': 5495, 'group_order': 1600, 'label': '10AV3', 'order': 10, 'powers': [39, 9], 'representative': 368, 'size': 2}
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id: 122396025
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 256, 'group_counter': 5495, 'group_order': 1600, 'label': '10AV-3', 'order': 10, 'powers': [40, 9], 'representative': 1392, 'size': 2}
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id: 122396026
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 257, 'group_counter': 5495, 'group_order': 1600, 'label': '10AW1', 'order': 10, 'powers': [32, 9], 'representative': 1296, 'size': 2}
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id: 122396027
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 258, 'group_counter': 5495, 'group_order': 1600, 'label': '10AW-1', 'order': 10, 'powers': [31, 9], 'representative': 464, 'size': 2}
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id: 122396028
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 259, 'group_counter': 5495, 'group_order': 1600, 'label': '10AW3', 'order': 10, 'powers': [30, 9], 'representative': 688, 'size': 2}
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id: 122396030
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 260, 'group_counter': 5495, 'group_order': 1600, 'label': '10AW-3', 'order': 10, 'powers': [29, 9], 'representative': 272, 'size': 2}
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id: 122396031
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 261, 'group_counter': 5495, 'group_order': 1600, 'label': '10AX1', 'order': 10, 'powers': [47, 10], 'representative': 344, 'size': 2}
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id: 122396032
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 262, 'group_counter': 5495, 'group_order': 1600, 'label': '10AX-1', 'order': 10, 'powers': [48, 10], 'representative': 1432, 'size': 2}
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id: 122396033
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 263, 'group_counter': 5495, 'group_order': 1600, 'label': '10AX3', 'order': 10, 'powers': [45, 10], 'representative': 216, 'size': 2}
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id: 122396034
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 264, 'group_counter': 5495, 'group_order': 1600, 'label': '10AX-3', 'order': 10, 'powers': [46, 10], 'representative': 760, 'size': 2}
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id: 122396035
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 265, 'group_counter': 5495, 'group_order': 1600, 'label': '10AY1', 'order': 10, 'powers': [41, 10], 'representative': 184, 'size': 2}
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id: 122396036
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 266, 'group_counter': 5495, 'group_order': 1600, 'label': '10AY-1', 'order': 10, 'powers': [42, 10], 'representative': 792, 'size': 2}
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id: 122396037
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 267, 'group_counter': 5495, 'group_order': 1600, 'label': '10AY3', 'order': 10, 'powers': [44, 10], 'representative': 1336, 'size': 2}
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id: 122396038
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 268, 'group_counter': 5495, 'group_order': 1600, 'label': '10AY-3', 'order': 10, 'powers': [43, 10], 'representative': 440, 'size': 2}
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id: 122396039
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 269, 'group_counter': 5495, 'group_order': 1600, 'label': '10AZ1', 'order': 10, 'powers': [47, 11], 'representative': 337, 'size': 2}
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id: 122396041
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 270, 'group_counter': 5495, 'group_order': 1600, 'label': '10AZ-1', 'order': 10, 'powers': [48, 11], 'representative': 1425, 'size': 2}
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id: 122396042
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 271, 'group_counter': 5495, 'group_order': 1600, 'label': '10AZ3', 'order': 10, 'powers': [45, 11], 'representative': 209, 'size': 2}
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id: 122396043
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 272, 'group_counter': 5495, 'group_order': 1600, 'label': '10AZ-3', 'order': 10, 'powers': [46, 11], 'representative': 753, 'size': 2}
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id: 122396044
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 273, 'group_counter': 5495, 'group_order': 1600, 'label': '10BA1', 'order': 10, 'powers': [41, 11], 'representative': 177, 'size': 2}
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id: 122396045
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 274, 'group_counter': 5495, 'group_order': 1600, 'label': '10BA-1', 'order': 10, 'powers': [42, 11], 'representative': 785, 'size': 2}
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id: 122396046
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 275, 'group_counter': 5495, 'group_order': 1600, 'label': '10BA3', 'order': 10, 'powers': [44, 11], 'representative': 1329, 'size': 2}
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id: 122396047
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 276, 'group_counter': 5495, 'group_order': 1600, 'label': '10BA-3', 'order': 10, 'powers': [43, 11], 'representative': 433, 'size': 2}
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id: 122396048
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 277, 'group_counter': 5495, 'group_order': 1600, 'label': '10BB1', 'order': 10, 'powers': [36, 12], 'representative': 25, 'size': 2}
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id: 122396049
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 278, 'group_counter': 5495, 'group_order': 1600, 'label': '10BB-1', 'order': 10, 'powers': [35, 12], 'representative': 153, 'size': 2}
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id: 122396050
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 279, 'group_counter': 5495, 'group_order': 1600, 'label': '10BB3', 'order': 10, 'powers': [34, 12], 'representative': 57, 'size': 2}
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id: 122396052
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 280, 'group_counter': 5495, 'group_order': 1600, 'label': '10BB-3', 'order': 10, 'powers': [33, 12], 'representative': 121, 'size': 2}
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id: 122396053
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 281, 'group_counter': 5495, 'group_order': 1600, 'label': '10BC1', 'order': 10, 'powers': [27, 9], 'representative': 400, 'size': 2}
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id: 122396054
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 282, 'group_counter': 5495, 'group_order': 1600, 'label': '10BC-1', 'order': 10, 'powers': [28, 9], 'representative': 1360, 'size': 2}
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id: 122396055
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 283, 'group_counter': 5495, 'group_order': 1600, 'label': '10BC3', 'order': 10, 'powers': [25, 9], 'representative': 240, 'size': 2}
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id: 122396056
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 284, 'group_counter': 5495, 'group_order': 1600, 'label': '10BC-3', 'order': 10, 'powers': [26, 9], 'representative': 720, 'size': 2}
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id: 122396057
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 285, 'group_counter': 5495, 'group_order': 1600, 'label': '10BD1', 'order': 10, 'powers': [38, 10], 'representative': 664, 'size': 2}
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id: 122396058
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 286, 'group_counter': 5495, 'group_order': 1600, 'label': '10BD-1', 'order': 10, 'powers': [37, 10], 'representative': 312, 'size': 2}
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id: 122396059
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 287, 'group_counter': 5495, 'group_order': 1600, 'label': '10BD3', 'order': 10, 'powers': [39, 10], 'representative': 376, 'size': 2}
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id: 122396060
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 288, 'group_counter': 5495, 'group_order': 1600, 'label': '10BD-3', 'order': 10, 'powers': [40, 10], 'representative': 1400, 'size': 2}
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id: 122396061
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 289, 'group_counter': 5495, 'group_order': 1600, 'label': '10BE1', 'order': 10, 'powers': [38, 11], 'representative': 657, 'size': 2}
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id: 122396063
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 290, 'group_counter': 5495, 'group_order': 1600, 'label': '10BE-1', 'order': 10, 'powers': [37, 11], 'representative': 305, 'size': 2}
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id: 122396064
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 291, 'group_counter': 5495, 'group_order': 1600, 'label': '10BE3', 'order': 10, 'powers': [39, 11], 'representative': 369, 'size': 2}
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id: 122396065
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 292, 'group_counter': 5495, 'group_order': 1600, 'label': '10BE-3', 'order': 10, 'powers': [40, 11], 'representative': 1393, 'size': 2}
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id: 122396066
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 293, 'group_counter': 5495, 'group_order': 1600, 'label': '10BF1', 'order': 10, 'powers': [32, 10], 'representative': 1304, 'size': 2}
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id: 122396067
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 294, 'group_counter': 5495, 'group_order': 1600, 'label': '10BF-1', 'order': 10, 'powers': [31, 10], 'representative': 472, 'size': 2}
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id: 122396068
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 295, 'group_counter': 5495, 'group_order': 1600, 'label': '10BF3', 'order': 10, 'powers': [30, 10], 'representative': 696, 'size': 2}
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id: 122396069
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 296, 'group_counter': 5495, 'group_order': 1600, 'label': '10BF-3', 'order': 10, 'powers': [29, 10], 'representative': 280, 'size': 2}
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id: 122396070
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 297, 'group_counter': 5495, 'group_order': 1600, 'label': '10BG1', 'order': 10, 'powers': [32, 11], 'representative': 1297, 'size': 2}
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id: 122396071
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 298, 'group_counter': 5495, 'group_order': 1600, 'label': '10BG-1', 'order': 10, 'powers': [31, 11], 'representative': 465, 'size': 2}
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id: 122396072
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 299, 'group_counter': 5495, 'group_order': 1600, 'label': '10BG3', 'order': 10, 'powers': [30, 11], 'representative': 689, 'size': 2}
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id: 122396075
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 300, 'group_counter': 5495, 'group_order': 1600, 'label': '10BG-3', 'order': 10, 'powers': [29, 11], 'representative': 273, 'size': 2}
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id: 122396076
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 301, 'group_counter': 5495, 'group_order': 1600, 'label': '10BH1', 'order': 10, 'powers': [47, 12], 'representative': 345, 'size': 2}
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id: 122396077
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 302, 'group_counter': 5495, 'group_order': 1600, 'label': '10BH-1', 'order': 10, 'powers': [48, 12], 'representative': 1433, 'size': 2}
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id: 122396078
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 303, 'group_counter': 5495, 'group_order': 1600, 'label': '10BH3', 'order': 10, 'powers': [45, 12], 'representative': 217, 'size': 2}
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id: 122396079
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 304, 'group_counter': 5495, 'group_order': 1600, 'label': '10BH-3', 'order': 10, 'powers': [46, 12], 'representative': 761, 'size': 2}
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id: 122396080
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 305, 'group_counter': 5495, 'group_order': 1600, 'label': '10BI1', 'order': 10, 'powers': [41, 12], 'representative': 185, 'size': 2}
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id: 122396081
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 306, 'group_counter': 5495, 'group_order': 1600, 'label': '10BI-1', 'order': 10, 'powers': [42, 12], 'representative': 793, 'size': 2}
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id: 122396082
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 307, 'group_counter': 5495, 'group_order': 1600, 'label': '10BI3', 'order': 10, 'powers': [44, 12], 'representative': 1337, 'size': 2}
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id: 122396083
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 308, 'group_counter': 5495, 'group_order': 1600, 'label': '10BI-3', 'order': 10, 'powers': [43, 12], 'representative': 441, 'size': 2}
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id: 122396084
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 309, 'group_counter': 5495, 'group_order': 1600, 'label': '10BJ1', 'order': 10, 'powers': [27, 10], 'representative': 408, 'size': 2}
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id: 122396086
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 310, 'group_counter': 5495, 'group_order': 1600, 'label': '10BJ-1', 'order': 10, 'powers': [28, 10], 'representative': 1368, 'size': 2}
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id: 122396087
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 311, 'group_counter': 5495, 'group_order': 1600, 'label': '10BJ3', 'order': 10, 'powers': [25, 10], 'representative': 248, 'size': 2}
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id: 122396088
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 312, 'group_counter': 5495, 'group_order': 1600, 'label': '10BJ-3', 'order': 10, 'powers': [26, 10], 'representative': 728, 'size': 2}
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id: 122396089
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 313, 'group_counter': 5495, 'group_order': 1600, 'label': '10BK1', 'order': 10, 'powers': [27, 11], 'representative': 401, 'size': 2}
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id: 122396090
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 314, 'group_counter': 5495, 'group_order': 1600, 'label': '10BK-1', 'order': 10, 'powers': [28, 11], 'representative': 1361, 'size': 2}
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id: 122396091
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 315, 'group_counter': 5495, 'group_order': 1600, 'label': '10BK3', 'order': 10, 'powers': [25, 11], 'representative': 241, 'size': 2}
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id: 122396092
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 316, 'group_counter': 5495, 'group_order': 1600, 'label': '10BK-3', 'order': 10, 'powers': [26, 11], 'representative': 721, 'size': 2}
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id: 122396093
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 317, 'group_counter': 5495, 'group_order': 1600, 'label': '10BL1', 'order': 10, 'powers': [38, 12], 'representative': 665, 'size': 2}
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id: 122396094
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 318, 'group_counter': 5495, 'group_order': 1600, 'label': '10BL-1', 'order': 10, 'powers': [37, 12], 'representative': 313, 'size': 2}
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id: 122396095
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 319, 'group_counter': 5495, 'group_order': 1600, 'label': '10BL3', 'order': 10, 'powers': [39, 12], 'representative': 377, 'size': 2}
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id: 122396097
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 320, 'group_counter': 5495, 'group_order': 1600, 'label': '10BL-3', 'order': 10, 'powers': [40, 12], 'representative': 1401, 'size': 2}
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id: 122396098
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 321, 'group_counter': 5495, 'group_order': 1600, 'label': '10BM1', 'order': 10, 'powers': [32, 12], 'representative': 1305, 'size': 2}
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id: 122396099
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 322, 'group_counter': 5495, 'group_order': 1600, 'label': '10BM-1', 'order': 10, 'powers': [31, 12], 'representative': 473, 'size': 2}
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id: 122396100
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 323, 'group_counter': 5495, 'group_order': 1600, 'label': '10BM3', 'order': 10, 'powers': [30, 12], 'representative': 697, 'size': 2}
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id: 122396101
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 324, 'group_counter': 5495, 'group_order': 1600, 'label': '10BM-3', 'order': 10, 'powers': [29, 12], 'representative': 281, 'size': 2}
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id: 122396102
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 325, 'group_counter': 5495, 'group_order': 1600, 'label': '10BN1', 'order': 10, 'powers': [27, 12], 'representative': 409, 'size': 2}
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id: 122396103
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 326, 'group_counter': 5495, 'group_order': 1600, 'label': '10BN-1', 'order': 10, 'powers': [28, 12], 'representative': 1369, 'size': 2}
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id: 122396104
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 327, 'group_counter': 5495, 'group_order': 1600, 'label': '10BN3', 'order': 10, 'powers': [25, 12], 'representative': 249, 'size': 2}
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id: 122396105
{'aut_label': '10AQ1', 'centralizer': '2.a1', 'counter': 328, 'group_counter': 5495, 'group_order': 1600, 'label': '10BN-3', 'order': 10, 'powers': [26, 12], 'representative': 729, 'size': 2}
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id: 122396106
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 329, 'group_counter': 5495, 'group_order': 1600, 'label': '20A1', 'order': 20, 'powers': [209, 13], 'representative': 325, 'size': 1}
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id: 122396108
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 330, 'group_counter': 5495, 'group_order': 1600, 'label': '20A-1', 'order': 20, 'powers': [210, 14], 'representative': 1293, 'size': 1}
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id: 122396109
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 331, 'group_counter': 5495, 'group_order': 1600, 'label': '20A3', 'order': 20, 'powers': [211, 14], 'representative': 973, 'size': 1}
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id: 122396110
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 332, 'group_counter': 5495, 'group_order': 1600, 'label': '20A-3', 'order': 20, 'powers': [212, 13], 'representative': 645, 'size': 1}
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id: 122396111
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 333, 'group_counter': 5495, 'group_order': 1600, 'label': '20A7', 'order': 20, 'powers': [212, 14], 'representative': 653, 'size': 1}
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id: 122396112
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 334, 'group_counter': 5495, 'group_order': 1600, 'label': '20A-7', 'order': 20, 'powers': [211, 13], 'representative': 965, 'size': 1}
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id: 122396113
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 335, 'group_counter': 5495, 'group_order': 1600, 'label': '20A9', 'order': 20, 'powers': [210, 13], 'representative': 1285, 'size': 1}
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id: 122396114
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 336, 'group_counter': 5495, 'group_order': 1600, 'label': '20A-9', 'order': 20, 'powers': [209, 14], 'representative': 333, 'size': 1}
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id: 122396115
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 337, 'group_counter': 5495, 'group_order': 1600, 'label': '20B1', 'order': 20, 'powers': [211, 15], 'representative': 165, 'size': 1}
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id: 122396116
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 338, 'group_counter': 5495, 'group_order': 1600, 'label': '20B-1', 'order': 20, 'powers': [212, 16], 'representative': 1453, 'size': 1}
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id: 122396117
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 339, 'group_counter': 5495, 'group_order': 1600, 'label': '20B3', 'order': 20, 'powers': [210, 16], 'representative': 493, 'size': 1}
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id: 122396119
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 340, 'group_counter': 5495, 'group_order': 1600, 'label': '20B-3', 'order': 20, 'powers': [209, 15], 'representative': 1125, 'size': 1}
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id: 122396120
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 341, 'group_counter': 5495, 'group_order': 1600, 'label': '20B7', 'order': 20, 'powers': [209, 16], 'representative': 1133, 'size': 1}
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id: 122396121
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 342, 'group_counter': 5495, 'group_order': 1600, 'label': '20B-7', 'order': 20, 'powers': [210, 15], 'representative': 485, 'size': 1}
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id: 122396122
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 343, 'group_counter': 5495, 'group_order': 1600, 'label': '20B9', 'order': 20, 'powers': [212, 15], 'representative': 1445, 'size': 1}
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id: 122396123
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 344, 'group_counter': 5495, 'group_order': 1600, 'label': '20B-9', 'order': 20, 'powers': [211, 16], 'representative': 173, 'size': 1}
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id: 122396124
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 345, 'group_counter': 5495, 'group_order': 1600, 'label': '20C1', 'order': 20, 'powers': [213, 13], 'representative': 37, 'size': 1}
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id: 122396125
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 346, 'group_counter': 5495, 'group_order': 1600, 'label': '20C-1', 'order': 20, 'powers': [214, 14], 'representative': 141, 'size': 1}
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id: 122396126
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 347, 'group_counter': 5495, 'group_order': 1600, 'label': '20C3', 'order': 20, 'powers': [215, 14], 'representative': 109, 'size': 1}
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id: 122396127
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 348, 'group_counter': 5495, 'group_order': 1600, 'label': '20C-3', 'order': 20, 'powers': [216, 13], 'representative': 69, 'size': 1}
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id: 122396128
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 349, 'group_counter': 5495, 'group_order': 1600, 'label': '20C7', 'order': 20, 'powers': [216, 14], 'representative': 77, 'size': 1}
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id: 122396130
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 350, 'group_counter': 5495, 'group_order': 1600, 'label': '20C-7', 'order': 20, 'powers': [215, 13], 'representative': 101, 'size': 1}
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id: 122396131
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 351, 'group_counter': 5495, 'group_order': 1600, 'label': '20C9', 'order': 20, 'powers': [214, 13], 'representative': 133, 'size': 1}
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id: 122396132
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 352, 'group_counter': 5495, 'group_order': 1600, 'label': '20C-9', 'order': 20, 'powers': [213, 14], 'representative': 45, 'size': 1}
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id: 122396133
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 353, 'group_counter': 5495, 'group_order': 1600, 'label': '20D1', 'order': 20, 'powers': [217, 13], 'representative': 357, 'size': 1}
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id: 122396134
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 354, 'group_counter': 5495, 'group_order': 1600, 'label': '20D-1', 'order': 20, 'powers': [218, 14], 'representative': 1421, 'size': 1}
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id: 122396135
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 355, 'group_counter': 5495, 'group_order': 1600, 'label': '20D3', 'order': 20, 'powers': [219, 14], 'representative': 1069, 'size': 1}
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id: 122396136
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 356, 'group_counter': 5495, 'group_order': 1600, 'label': '20D-3', 'order': 20, 'powers': [220, 13], 'representative': 709, 'size': 1}
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id: 122396137
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 357, 'group_counter': 5495, 'group_order': 1600, 'label': '20D7', 'order': 20, 'powers': [220, 14], 'representative': 717, 'size': 1}
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id: 122396138
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 358, 'group_counter': 5495, 'group_order': 1600, 'label': '20D-7', 'order': 20, 'powers': [219, 13], 'representative': 1061, 'size': 1}
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id: 122396139
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 359, 'group_counter': 5495, 'group_order': 1600, 'label': '20D9', 'order': 20, 'powers': [218, 13], 'representative': 1413, 'size': 1}
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id: 122396141
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 360, 'group_counter': 5495, 'group_order': 1600, 'label': '20D-9', 'order': 20, 'powers': [217, 14], 'representative': 365, 'size': 1}
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id: 122396142
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 361, 'group_counter': 5495, 'group_order': 1600, 'label': '20E1', 'order': 20, 'powers': [221, 15], 'representative': 197, 'size': 1}
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id: 122396143
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 362, 'group_counter': 5495, 'group_order': 1600, 'label': '20E-1', 'order': 20, 'powers': [222, 16], 'representative': 1581, 'size': 1}
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id: 122396144
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 363, 'group_counter': 5495, 'group_order': 1600, 'label': '20E3', 'order': 20, 'powers': [223, 16], 'representative': 589, 'size': 1}
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id: 122396145
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 364, 'group_counter': 5495, 'group_order': 1600, 'label': '20E-3', 'order': 20, 'powers': [224, 15], 'representative': 1189, 'size': 1}
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id: 122396146
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 365, 'group_counter': 5495, 'group_order': 1600, 'label': '20E7', 'order': 20, 'powers': [224, 16], 'representative': 1197, 'size': 1}
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id: 122396147
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 366, 'group_counter': 5495, 'group_order': 1600, 'label': '20E-7', 'order': 20, 'powers': [223, 15], 'representative': 581, 'size': 1}
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id: 122396148
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 367, 'group_counter': 5495, 'group_order': 1600, 'label': '20E9', 'order': 20, 'powers': [222, 15], 'representative': 1573, 'size': 1}
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id: 122396149
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 368, 'group_counter': 5495, 'group_order': 1600, 'label': '20E-9', 'order': 20, 'powers': [221, 16], 'representative': 205, 'size': 1}
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id: 122396150
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 369, 'group_counter': 5495, 'group_order': 1600, 'label': '20F1', 'order': 20, 'powers': [225, 13], 'representative': 677, 'size': 1}
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id: 122396152
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 370, 'group_counter': 5495, 'group_order': 1600, 'label': '20F-1', 'order': 20, 'powers': [226, 14], 'representative': 1101, 'size': 1}
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id: 122396153
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 371, 'group_counter': 5495, 'group_order': 1600, 'label': '20F3', 'order': 20, 'powers': [227, 14], 'representative': 429, 'size': 1}
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id: 122396154
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 372, 'group_counter': 5495, 'group_order': 1600, 'label': '20F-3', 'order': 20, 'powers': [228, 13], 'representative': 1349, 'size': 1}
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id: 122396155
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 373, 'group_counter': 5495, 'group_order': 1600, 'label': '20F7', 'order': 20, 'powers': [228, 14], 'representative': 1357, 'size': 1}
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id: 122396156
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 374, 'group_counter': 5495, 'group_order': 1600, 'label': '20F-7', 'order': 20, 'powers': [227, 13], 'representative': 421, 'size': 1}
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id: 122396157
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 375, 'group_counter': 5495, 'group_order': 1600, 'label': '20F9', 'order': 20, 'powers': [226, 13], 'representative': 1093, 'size': 1}
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id: 122396158
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 376, 'group_counter': 5495, 'group_order': 1600, 'label': '20F-9', 'order': 20, 'powers': [225, 14], 'representative': 685, 'size': 1}
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id: 122396159
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 377, 'group_counter': 5495, 'group_order': 1600, 'label': '20G1', 'order': 20, 'powers': [224, 13], 'representative': 389, 'size': 1}
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id: 122396160
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 378, 'group_counter': 5495, 'group_order': 1600, 'label': '20G-1', 'order': 20, 'powers': [223, 14], 'representative': 1389, 'size': 1}
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id: 122396161
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 379, 'group_counter': 5495, 'group_order': 1600, 'label': '20G3', 'order': 20, 'powers': [221, 14], 'representative': 1005, 'size': 1}
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id: 122396163
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 380, 'group_counter': 5495, 'group_order': 1600, 'label': '20G-3', 'order': 20, 'powers': [222, 13], 'representative': 773, 'size': 1}
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id: 122396164
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 381, 'group_counter': 5495, 'group_order': 1600, 'label': '20G7', 'order': 20, 'powers': [222, 14], 'representative': 781, 'size': 1}
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id: 122396165
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 382, 'group_counter': 5495, 'group_order': 1600, 'label': '20G-7', 'order': 20, 'powers': [221, 13], 'representative': 997, 'size': 1}
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id: 122396166
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 383, 'group_counter': 5495, 'group_order': 1600, 'label': '20G9', 'order': 20, 'powers': [223, 13], 'representative': 1381, 'size': 1}
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id: 122396167
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 384, 'group_counter': 5495, 'group_order': 1600, 'label': '20G-9', 'order': 20, 'powers': [224, 14], 'representative': 397, 'size': 1}
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id: 122396168
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 385, 'group_counter': 5495, 'group_order': 1600, 'label': '20H1', 'order': 20, 'powers': [229, 15], 'representative': 229, 'size': 1}
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id: 122396169
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 386, 'group_counter': 5495, 'group_order': 1600, 'label': '20H-1', 'order': 20, 'powers': [230, 16], 'representative': 1549, 'size': 1}
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id: 122396170
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 387, 'group_counter': 5495, 'group_order': 1600, 'label': '20H3', 'order': 20, 'powers': [231, 16], 'representative': 525, 'size': 1}
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id: 122396171
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 388, 'group_counter': 5495, 'group_order': 1600, 'label': '20H-3', 'order': 20, 'powers': [232, 15], 'representative': 1253, 'size': 1}
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id: 122396172
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 389, 'group_counter': 5495, 'group_order': 1600, 'label': '20H7', 'order': 20, 'powers': [232, 16], 'representative': 1261, 'size': 1}
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id: 122396174
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 390, 'group_counter': 5495, 'group_order': 1600, 'label': '20H-7', 'order': 20, 'powers': [231, 15], 'representative': 517, 'size': 1}
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id: 122396175
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 391, 'group_counter': 5495, 'group_order': 1600, 'label': '20H9', 'order': 20, 'powers': [230, 15], 'representative': 1541, 'size': 1}
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id: 122396176
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 392, 'group_counter': 5495, 'group_order': 1600, 'label': '20H-9', 'order': 20, 'powers': [229, 16], 'representative': 237, 'size': 1}
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id: 122396177
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 393, 'group_counter': 5495, 'group_order': 1600, 'label': '20I1', 'order': 20, 'powers': [219, 15], 'representative': 261, 'size': 1}
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id: 122396178
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id: 122396179
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 395, 'group_counter': 5495, 'group_order': 1600, 'label': '20I3', 'order': 20, 'powers': [218, 16], 'representative': 621, 'size': 1}
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id: 122396180
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 396, 'group_counter': 5495, 'group_order': 1600, 'label': '20I-3', 'order': 20, 'powers': [217, 15], 'representative': 1157, 'size': 1}
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id: 122396181
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 397, 'group_counter': 5495, 'group_order': 1600, 'label': '20I7', 'order': 20, 'powers': [217, 16], 'representative': 1165, 'size': 1}
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id: 122396182
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 398, 'group_counter': 5495, 'group_order': 1600, 'label': '20I-7', 'order': 20, 'powers': [218, 15], 'representative': 613, 'size': 1}
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id: 122396183
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 399, 'group_counter': 5495, 'group_order': 1600, 'label': '20I9', 'order': 20, 'powers': [220, 15], 'representative': 1509, 'size': 1}
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id: 122396186
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 400, 'group_counter': 5495, 'group_order': 1600, 'label': '20I-9', 'order': 20, 'powers': [219, 16], 'representative': 269, 'size': 1}
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id: 122396187
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 401, 'group_counter': 5495, 'group_order': 1600, 'label': '20J1', 'order': 20, 'powers': [231, 13], 'representative': 1317, 'size': 1}
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id: 122396188
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 402, 'group_counter': 5495, 'group_order': 1600, 'label': '20J-1', 'order': 20, 'powers': [232, 14], 'representative': 461, 'size': 1}
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id: 122396189
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 403, 'group_counter': 5495, 'group_order': 1600, 'label': '20J3', 'order': 20, 'powers': [230, 14], 'representative': 749, 'size': 1}
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id: 122396190
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 404, 'group_counter': 5495, 'group_order': 1600, 'label': '20J-3', 'order': 20, 'powers': [229, 13], 'representative': 1029, 'size': 1}
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id: 122396191
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 405, 'group_counter': 5495, 'group_order': 1600, 'label': '20J7', 'order': 20, 'powers': [229, 14], 'representative': 1037, 'size': 1}
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id: 122396192
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 406, 'group_counter': 5495, 'group_order': 1600, 'label': '20J-7', 'order': 20, 'powers': [230, 13], 'representative': 741, 'size': 1}
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id: 122396193
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 407, 'group_counter': 5495, 'group_order': 1600, 'label': '20J9', 'order': 20, 'powers': [232, 13], 'representative': 453, 'size': 1}
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id: 122396194
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 408, 'group_counter': 5495, 'group_order': 1600, 'label': '20J-9', 'order': 20, 'powers': [231, 14], 'representative': 1325, 'size': 1}
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id: 122396195
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 409, 'group_counter': 5495, 'group_order': 1600, 'label': '20K1', 'order': 20, 'powers': [226, 15], 'representative': 293, 'size': 1}
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id: 122396197
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 410, 'group_counter': 5495, 'group_order': 1600, 'label': '20K-1', 'order': 20, 'powers': [225, 16], 'representative': 1485, 'size': 1}
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id: 122396198
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 411, 'group_counter': 5495, 'group_order': 1600, 'label': '20K3', 'order': 20, 'powers': [228, 16], 'representative': 557, 'size': 1}
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id: 122396199
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 412, 'group_counter': 5495, 'group_order': 1600, 'label': '20K-3', 'order': 20, 'powers': [227, 15], 'representative': 1221, 'size': 1}
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id: 122396200
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 413, 'group_counter': 5495, 'group_order': 1600, 'label': '20K7', 'order': 20, 'powers': [227, 16], 'representative': 1229, 'size': 1}
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id: 122396201
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 414, 'group_counter': 5495, 'group_order': 1600, 'label': '20K-7', 'order': 20, 'powers': [228, 15], 'representative': 549, 'size': 1}
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id: 122396202
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 415, 'group_counter': 5495, 'group_order': 1600, 'label': '20K9', 'order': 20, 'powers': [225, 15], 'representative': 1477, 'size': 1}
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id: 122396203
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 416, 'group_counter': 5495, 'group_order': 1600, 'label': '20K-9', 'order': 20, 'powers': [226, 16], 'representative': 301, 'size': 1}
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id: 122396204
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 417, 'group_counter': 5495, 'group_order': 1600, 'label': '20L1', 'order': 20, 'powers': [213, 15], 'representative': 837, 'size': 1}
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id: 122396205
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 418, 'group_counter': 5495, 'group_order': 1600, 'label': '20L-1', 'order': 20, 'powers': [214, 16], 'representative': 941, 'size': 1}
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id: 122396206
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 419, 'group_counter': 5495, 'group_order': 1600, 'label': '20L3', 'order': 20, 'powers': [215, 16], 'representative': 909, 'size': 1}
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id: 122396208
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 420, 'group_counter': 5495, 'group_order': 1600, 'label': '20L-3', 'order': 20, 'powers': [216, 15], 'representative': 869, 'size': 1}
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id: 122396209
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 421, 'group_counter': 5495, 'group_order': 1600, 'label': '20L7', 'order': 20, 'powers': [216, 16], 'representative': 877, 'size': 1}
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id: 122396210
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 422, 'group_counter': 5495, 'group_order': 1600, 'label': '20L-7', 'order': 20, 'powers': [215, 15], 'representative': 901, 'size': 1}
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id: 122396211
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 423, 'group_counter': 5495, 'group_order': 1600, 'label': '20L9', 'order': 20, 'powers': [214, 15], 'representative': 933, 'size': 1}
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id: 122396212
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 424, 'group_counter': 5495, 'group_order': 1600, 'label': '20L-9', 'order': 20, 'powers': [213, 16], 'representative': 845, 'size': 1}
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id: 122396213
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 425, 'group_counter': 5495, 'group_order': 1600, 'label': '20M1', 'order': 20, 'powers': [212, 17], 'representative': 644, 'size': 1}
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id: 122396214
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 426, 'group_counter': 5495, 'group_order': 1600, 'label': '20M-1', 'order': 20, 'powers': [211, 18], 'representative': 972, 'size': 1}
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id: 122396215
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 427, 'group_counter': 5495, 'group_order': 1600, 'label': '20M3', 'order': 20, 'powers': [209, 18], 'representative': 332, 'size': 1}
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id: 122396216
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 428, 'group_counter': 5495, 'group_order': 1600, 'label': '20M-3', 'order': 20, 'powers': [210, 17], 'representative': 1284, 'size': 1}
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id: 122396217
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 429, 'group_counter': 5495, 'group_order': 1600, 'label': '20M7', 'order': 20, 'powers': [210, 18], 'representative': 1292, 'size': 1}
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id: 122396219
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 430, 'group_counter': 5495, 'group_order': 1600, 'label': '20M-7', 'order': 20, 'powers': [209, 17], 'representative': 324, 'size': 1}
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id: 122396220
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 431, 'group_counter': 5495, 'group_order': 1600, 'label': '20M9', 'order': 20, 'powers': [211, 17], 'representative': 964, 'size': 1}
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id: 122396221
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 432, 'group_counter': 5495, 'group_order': 1600, 'label': '20M-9', 'order': 20, 'powers': [212, 18], 'representative': 652, 'size': 1}
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id: 122396222
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 433, 'group_counter': 5495, 'group_order': 1600, 'label': '20N1', 'order': 20, 'powers': [216, 17], 'representative': 68, 'size': 1}
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id: 122396223
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 434, 'group_counter': 5495, 'group_order': 1600, 'label': '20N-1', 'order': 20, 'powers': [215, 18], 'representative': 108, 'size': 1}
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id: 122396224
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 435, 'group_counter': 5495, 'group_order': 1600, 'label': '20N3', 'order': 20, 'powers': [213, 18], 'representative': 44, 'size': 1}
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id: 122396225
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 436, 'group_counter': 5495, 'group_order': 1600, 'label': '20N-3', 'order': 20, 'powers': [214, 17], 'representative': 132, 'size': 1}
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id: 122396226
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 437, 'group_counter': 5495, 'group_order': 1600, 'label': '20N7', 'order': 20, 'powers': [214, 18], 'representative': 140, 'size': 1}
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id: 122396227
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 438, 'group_counter': 5495, 'group_order': 1600, 'label': '20N-7', 'order': 20, 'powers': [213, 17], 'representative': 36, 'size': 1}
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id: 122396228
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 439, 'group_counter': 5495, 'group_order': 1600, 'label': '20N9', 'order': 20, 'powers': [215, 17], 'representative': 100, 'size': 1}
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id: 122396230
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 440, 'group_counter': 5495, 'group_order': 1600, 'label': '20N-9', 'order': 20, 'powers': [216, 18], 'representative': 76, 'size': 1}
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id: 122396231
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 441, 'group_counter': 5495, 'group_order': 1600, 'label': '20O1', 'order': 20, 'powers': [213, 19], 'representative': 836, 'size': 1}
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id: 122396232
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 442, 'group_counter': 5495, 'group_order': 1600, 'label': '20O-1', 'order': 20, 'powers': [214, 20], 'representative': 940, 'size': 1}
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id: 122396233
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 443, 'group_counter': 5495, 'group_order': 1600, 'label': '20O3', 'order': 20, 'powers': [215, 20], 'representative': 908, 'size': 1}
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id: 122396234
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 444, 'group_counter': 5495, 'group_order': 1600, 'label': '20O-3', 'order': 20, 'powers': [216, 19], 'representative': 868, 'size': 1}
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id: 122396235
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 445, 'group_counter': 5495, 'group_order': 1600, 'label': '20O7', 'order': 20, 'powers': [216, 20], 'representative': 876, 'size': 1}
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id: 122396236
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 446, 'group_counter': 5495, 'group_order': 1600, 'label': '20O-7', 'order': 20, 'powers': [215, 19], 'representative': 900, 'size': 1}
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id: 122396237
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 447, 'group_counter': 5495, 'group_order': 1600, 'label': '20O9', 'order': 20, 'powers': [214, 19], 'representative': 932, 'size': 1}
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id: 122396238
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 448, 'group_counter': 5495, 'group_order': 1600, 'label': '20O-9', 'order': 20, 'powers': [213, 20], 'representative': 844, 'size': 1}
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id: 122396239
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 449, 'group_counter': 5495, 'group_order': 1600, 'label': '20P1', 'order': 20, 'powers': [220, 17], 'representative': 708, 'size': 1}
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id: 122396241
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 450, 'group_counter': 5495, 'group_order': 1600, 'label': '20P-1', 'order': 20, 'powers': [219, 18], 'representative': 1068, 'size': 1}
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id: 122396242
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 451, 'group_counter': 5495, 'group_order': 1600, 'label': '20P3', 'order': 20, 'powers': [217, 18], 'representative': 364, 'size': 1}
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id: 122396243
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 452, 'group_counter': 5495, 'group_order': 1600, 'label': '20P-3', 'order': 20, 'powers': [218, 17], 'representative': 1412, 'size': 1}
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id: 122396244
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 453, 'group_counter': 5495, 'group_order': 1600, 'label': '20P7', 'order': 20, 'powers': [218, 18], 'representative': 1420, 'size': 1}
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id: 122396245
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 454, 'group_counter': 5495, 'group_order': 1600, 'label': '20P-7', 'order': 20, 'powers': [217, 17], 'representative': 356, 'size': 1}
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id: 122396246
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 455, 'group_counter': 5495, 'group_order': 1600, 'label': '20P9', 'order': 20, 'powers': [219, 17], 'representative': 1060, 'size': 1}
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id: 122396247
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 456, 'group_counter': 5495, 'group_order': 1600, 'label': '20P-9', 'order': 20, 'powers': [220, 18], 'representative': 716, 'size': 1}
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id: 122396248
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 457, 'group_counter': 5495, 'group_order': 1600, 'label': '20Q1', 'order': 20, 'powers': [224, 17], 'representative': 388, 'size': 1}
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id: 122396249
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 458, 'group_counter': 5495, 'group_order': 1600, 'label': '20Q-1', 'order': 20, 'powers': [223, 18], 'representative': 1388, 'size': 1}
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id: 122396250
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 459, 'group_counter': 5495, 'group_order': 1600, 'label': '20Q3', 'order': 20, 'powers': [221, 18], 'representative': 1004, 'size': 1}
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id: 122396252
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 460, 'group_counter': 5495, 'group_order': 1600, 'label': '20Q-3', 'order': 20, 'powers': [222, 17], 'representative': 772, 'size': 1}
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id: 122396253
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 461, 'group_counter': 5495, 'group_order': 1600, 'label': '20Q7', 'order': 20, 'powers': [222, 18], 'representative': 780, 'size': 1}
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id: 122396254
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 462, 'group_counter': 5495, 'group_order': 1600, 'label': '20Q-7', 'order': 20, 'powers': [221, 17], 'representative': 996, 'size': 1}
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id: 122396255
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 463, 'group_counter': 5495, 'group_order': 1600, 'label': '20Q9', 'order': 20, 'powers': [223, 17], 'representative': 1380, 'size': 1}
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id: 122396256
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 464, 'group_counter': 5495, 'group_order': 1600, 'label': '20Q-9', 'order': 20, 'powers': [224, 18], 'representative': 396, 'size': 1}
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id: 122396257
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 465, 'group_counter': 5495, 'group_order': 1600, 'label': '20R1', 'order': 20, 'powers': [225, 19], 'representative': 1476, 'size': 1}
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id: 122396258
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 466, 'group_counter': 5495, 'group_order': 1600, 'label': '20R-1', 'order': 20, 'powers': [226, 20], 'representative': 300, 'size': 1}
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id: 122396259
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 467, 'group_counter': 5495, 'group_order': 1600, 'label': '20R3', 'order': 20, 'powers': [227, 20], 'representative': 1228, 'size': 1}
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id: 122396260
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 468, 'group_counter': 5495, 'group_order': 1600, 'label': '20R-3', 'order': 20, 'powers': [228, 19], 'representative': 548, 'size': 1}
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id: 122396261
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 469, 'group_counter': 5495, 'group_order': 1600, 'label': '20R7', 'order': 20, 'powers': [228, 20], 'representative': 556, 'size': 1}
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id: 122396263
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 470, 'group_counter': 5495, 'group_order': 1600, 'label': '20R-7', 'order': 20, 'powers': [227, 19], 'representative': 1220, 'size': 1}
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id: 122396264
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 471, 'group_counter': 5495, 'group_order': 1600, 'label': '20R9', 'order': 20, 'powers': [226, 19], 'representative': 292, 'size': 1}
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id: 122396265
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 472, 'group_counter': 5495, 'group_order': 1600, 'label': '20R-9', 'order': 20, 'powers': [225, 20], 'representative': 1484, 'size': 1}
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id: 122396266
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 473, 'group_counter': 5495, 'group_order': 1600, 'label': '20S1', 'order': 20, 'powers': [217, 19], 'representative': 1156, 'size': 1}
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id: 122396267
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 474, 'group_counter': 5495, 'group_order': 1600, 'label': '20S-1', 'order': 20, 'powers': [218, 20], 'representative': 620, 'size': 1}
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id: 122396268
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 475, 'group_counter': 5495, 'group_order': 1600, 'label': '20S3', 'order': 20, 'powers': [219, 20], 'representative': 268, 'size': 1}
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id: 122396269
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 476, 'group_counter': 5495, 'group_order': 1600, 'label': '20S-3', 'order': 20, 'powers': [220, 19], 'representative': 1508, 'size': 1}
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id: 122396270
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 477, 'group_counter': 5495, 'group_order': 1600, 'label': '20S7', 'order': 20, 'powers': [220, 20], 'representative': 1516, 'size': 1}
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id: 122396271
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 478, 'group_counter': 5495, 'group_order': 1600, 'label': '20S-7', 'order': 20, 'powers': [219, 19], 'representative': 260, 'size': 1}
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id: 122396272
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 479, 'group_counter': 5495, 'group_order': 1600, 'label': '20S9', 'order': 20, 'powers': [218, 19], 'representative': 612, 'size': 1}
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id: 122396274
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 480, 'group_counter': 5495, 'group_order': 1600, 'label': '20S-9', 'order': 20, 'powers': [217, 20], 'representative': 1164, 'size': 1}
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id: 122396275
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 481, 'group_counter': 5495, 'group_order': 1600, 'label': '20T1', 'order': 20, 'powers': [228, 17], 'representative': 1348, 'size': 1}
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id: 122396276
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 482, 'group_counter': 5495, 'group_order': 1600, 'label': '20T-1', 'order': 20, 'powers': [227, 18], 'representative': 428, 'size': 1}
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id: 122396277
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 483, 'group_counter': 5495, 'group_order': 1600, 'label': '20T3', 'order': 20, 'powers': [225, 18], 'representative': 684, 'size': 1}
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id: 122396278
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 484, 'group_counter': 5495, 'group_order': 1600, 'label': '20T-3', 'order': 20, 'powers': [226, 17], 'representative': 1092, 'size': 1}
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id: 122396279
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 485, 'group_counter': 5495, 'group_order': 1600, 'label': '20T7', 'order': 20, 'powers': [226, 18], 'representative': 1100, 'size': 1}
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id: 122396280
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 486, 'group_counter': 5495, 'group_order': 1600, 'label': '20T-7', 'order': 20, 'powers': [225, 17], 'representative': 676, 'size': 1}
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id: 122396281
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 487, 'group_counter': 5495, 'group_order': 1600, 'label': '20T9', 'order': 20, 'powers': [227, 17], 'representative': 420, 'size': 1}
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id: 122396282
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id: 122396285
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id: 122396286
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id: 122396287
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id: 122396288
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id: 122396289
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id: 122396290
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id: 122396291
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id: 122396292
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id: 122396293
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id: 122396294
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id: 122396297
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id: 122396298
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id: 122396299
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id: 122396300
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id: 122396301
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id: 122396302
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id: 122396303
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 506, 'group_counter': 5495, 'group_order': 1600, 'label': '20W-1', 'order': 20, 'powers': [222, 20], 'representative': 1580, 'size': 1}
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id: 122396304
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 507, 'group_counter': 5495, 'group_order': 1600, 'label': '20W3', 'order': 20, 'powers': [223, 20], 'representative': 588, 'size': 1}
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id: 122396305
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 508, 'group_counter': 5495, 'group_order': 1600, 'label': '20W-3', 'order': 20, 'powers': [224, 19], 'representative': 1188, 'size': 1}
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id: 122396306
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 509, 'group_counter': 5495, 'group_order': 1600, 'label': '20W7', 'order': 20, 'powers': [224, 20], 'representative': 1196, 'size': 1}
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id: 122396308
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 510, 'group_counter': 5495, 'group_order': 1600, 'label': '20W-7', 'order': 20, 'powers': [223, 19], 'representative': 580, 'size': 1}
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id: 122396309
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 511, 'group_counter': 5495, 'group_order': 1600, 'label': '20W9', 'order': 20, 'powers': [222, 19], 'representative': 1572, 'size': 1}
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id: 122396310
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 512, 'group_counter': 5495, 'group_order': 1600, 'label': '20W-9', 'order': 20, 'powers': [221, 20], 'representative': 204, 'size': 1}
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id: 122396311
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 513, 'group_counter': 5495, 'group_order': 1600, 'label': '20X1', 'order': 20, 'powers': [212, 19], 'representative': 1444, 'size': 1}
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id: 122396312
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 514, 'group_counter': 5495, 'group_order': 1600, 'label': '20X-1', 'order': 20, 'powers': [211, 20], 'representative': 172, 'size': 1}
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id: 122396313
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 515, 'group_counter': 5495, 'group_order': 1600, 'label': '20X3', 'order': 20, 'powers': [209, 20], 'representative': 1132, 'size': 1}
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id: 122396314
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 516, 'group_counter': 5495, 'group_order': 1600, 'label': '20X-3', 'order': 20, 'powers': [210, 19], 'representative': 484, 'size': 1}
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id: 122396315
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 517, 'group_counter': 5495, 'group_order': 1600, 'label': '20X7', 'order': 20, 'powers': [210, 20], 'representative': 492, 'size': 1}
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id: 122396316
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 518, 'group_counter': 5495, 'group_order': 1600, 'label': '20X-7', 'order': 20, 'powers': [209, 19], 'representative': 1124, 'size': 1}
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id: 122396317
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 519, 'group_counter': 5495, 'group_order': 1600, 'label': '20X9', 'order': 20, 'powers': [211, 19], 'representative': 164, 'size': 1}
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id: 122396319
{'aut_label': '20M1', 'centralizer': '1.a1', 'counter': 520, 'group_counter': 5495, 'group_order': 1600, 'label': '20X-9', 'order': 20, 'powers': [212, 20], 'representative': 1452, 'size': 1}
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id: 122396320
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 521, 'group_counter': 5495, 'group_order': 1600, 'label': '20Y1', 'order': 20, 'powers': [215, 21], 'representative': 20, 'size': 2}
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id: 122396321
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 522, 'group_counter': 5495, 'group_order': 1600, 'label': '20Y-1', 'order': 20, 'powers': [216, 22], 'representative': 156, 'size': 2}
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id: 122396322
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 523, 'group_counter': 5495, 'group_order': 1600, 'label': '20Y3', 'order': 20, 'powers': [214, 22], 'representative': 60, 'size': 2}
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id: 122396323
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 524, 'group_counter': 5495, 'group_order': 1600, 'label': '20Y-3', 'order': 20, 'powers': [213, 21], 'representative': 116, 'size': 2}
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id: 122396324
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 525, 'group_counter': 5495, 'group_order': 1600, 'label': '20Y7', 'order': 20, 'powers': [213, 22], 'representative': 124, 'size': 2}
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id: 122396325
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 526, 'group_counter': 5495, 'group_order': 1600, 'label': '20Y-7', 'order': 20, 'powers': [214, 21], 'representative': 52, 'size': 2}
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id: 122396326
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 527, 'group_counter': 5495, 'group_order': 1600, 'label': '20Y9', 'order': 20, 'powers': [216, 21], 'representative': 148, 'size': 2}
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id: 122396327
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 528, 'group_counter': 5495, 'group_order': 1600, 'label': '20Y-9', 'order': 20, 'powers': [215, 22], 'representative': 28, 'size': 2}
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id: 122396328
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 529, 'group_counter': 5495, 'group_order': 1600, 'label': '20Z1', 'order': 20, 'powers': [227, 21], 'representative': 340, 'size': 2}
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id: 122396330
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 530, 'group_counter': 5495, 'group_order': 1600, 'label': '20Z-1', 'order': 20, 'powers': [228, 22], 'representative': 1436, 'size': 2}
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id: 122396331
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 531, 'group_counter': 5495, 'group_order': 1600, 'label': '20Z3', 'order': 20, 'powers': [226, 22], 'representative': 220, 'size': 2}
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id: 122396332
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 532, 'group_counter': 5495, 'group_order': 1600, 'label': '20Z-3', 'order': 20, 'powers': [225, 21], 'representative': 756, 'size': 2}
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id: 122396333
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 533, 'group_counter': 5495, 'group_order': 1600, 'label': '20Z7', 'order': 20, 'powers': [225, 22], 'representative': 764, 'size': 2}
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id: 122396334
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 534, 'group_counter': 5495, 'group_order': 1600, 'label': '20Z-7', 'order': 20, 'powers': [226, 21], 'representative': 212, 'size': 2}
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id: 122396335
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 535, 'group_counter': 5495, 'group_order': 1600, 'label': '20Z9', 'order': 20, 'powers': [228, 21], 'representative': 1428, 'size': 2}
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id: 122396336
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 536, 'group_counter': 5495, 'group_order': 1600, 'label': '20Z-9', 'order': 20, 'powers': [227, 22], 'representative': 348, 'size': 2}
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id: 122396337
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 537, 'group_counter': 5495, 'group_order': 1600, 'label': '20AA1', 'order': 20, 'powers': [219, 21], 'representative': 180, 'size': 2}
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id: 122396338
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 538, 'group_counter': 5495, 'group_order': 1600, 'label': '20AA-1', 'order': 20, 'powers': [220, 22], 'representative': 796, 'size': 2}
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id: 122396339
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 539, 'group_counter': 5495, 'group_order': 1600, 'label': '20AA3', 'order': 20, 'powers': [218, 22], 'representative': 1340, 'size': 2}
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id: 122396341
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 540, 'group_counter': 5495, 'group_order': 1600, 'label': '20AA-3', 'order': 20, 'powers': [217, 21], 'representative': 436, 'size': 2}
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id: 122396342
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 541, 'group_counter': 5495, 'group_order': 1600, 'label': '20AA7', 'order': 20, 'powers': [217, 22], 'representative': 444, 'size': 2}
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id: 122396343
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 542, 'group_counter': 5495, 'group_order': 1600, 'label': '20AA-7', 'order': 20, 'powers': [218, 21], 'representative': 1332, 'size': 2}
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id: 122396344
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 543, 'group_counter': 5495, 'group_order': 1600, 'label': '20AA9', 'order': 20, 'powers': [220, 21], 'representative': 788, 'size': 2}
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id: 122396345
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 544, 'group_counter': 5495, 'group_order': 1600, 'label': '20AA-9', 'order': 20, 'powers': [219, 22], 'representative': 188, 'size': 2}
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id: 122396346
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 545, 'group_counter': 5495, 'group_order': 1600, 'label': '20AB1', 'order': 20, 'powers': [215, 23], 'representative': 21, 'size': 2}
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id: 122396347
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 546, 'group_counter': 5495, 'group_order': 1600, 'label': '20AB-1', 'order': 20, 'powers': [216, 24], 'representative': 157, 'size': 2}
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id: 122396348
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 547, 'group_counter': 5495, 'group_order': 1600, 'label': '20AB3', 'order': 20, 'powers': [214, 24], 'representative': 61, 'size': 2}
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id: 122396349
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 548, 'group_counter': 5495, 'group_order': 1600, 'label': '20AB-3', 'order': 20, 'powers': [213, 23], 'representative': 117, 'size': 2}
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id: 122396350
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 549, 'group_counter': 5495, 'group_order': 1600, 'label': '20AB7', 'order': 20, 'powers': [213, 24], 'representative': 125, 'size': 2}
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id: 122396352
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 550, 'group_counter': 5495, 'group_order': 1600, 'label': '20AB-7', 'order': 20, 'powers': [214, 23], 'representative': 53, 'size': 2}
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id: 122396353
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 551, 'group_counter': 5495, 'group_order': 1600, 'label': '20AB9', 'order': 20, 'powers': [216, 23], 'representative': 149, 'size': 2}
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id: 122396354
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 552, 'group_counter': 5495, 'group_order': 1600, 'label': '20AB-9', 'order': 20, 'powers': [215, 24], 'representative': 29, 'size': 2}
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id: 122396355
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 553, 'group_counter': 5495, 'group_order': 1600, 'label': '20AC1', 'order': 20, 'powers': [230, 21], 'representative': 660, 'size': 2}
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id: 122396356
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 554, 'group_counter': 5495, 'group_order': 1600, 'label': '20AC-1', 'order': 20, 'powers': [229, 22], 'representative': 316, 'size': 2}
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id: 122396357
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 555, 'group_counter': 5495, 'group_order': 1600, 'label': '20AC3', 'order': 20, 'powers': [232, 22], 'representative': 380, 'size': 2}
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id: 122396358
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 556, 'group_counter': 5495, 'group_order': 1600, 'label': '20AC-3', 'order': 20, 'powers': [231, 21], 'representative': 1396, 'size': 2}
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id: 122396359
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 557, 'group_counter': 5495, 'group_order': 1600, 'label': '20AC7', 'order': 20, 'powers': [231, 22], 'representative': 1404, 'size': 2}
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id: 122396360
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 558, 'group_counter': 5495, 'group_order': 1600, 'label': '20AC-7', 'order': 20, 'powers': [232, 21], 'representative': 372, 'size': 2}
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id: 122396361
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 559, 'group_counter': 5495, 'group_order': 1600, 'label': '20AC9', 'order': 20, 'powers': [229, 21], 'representative': 308, 'size': 2}
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id: 122396363
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 560, 'group_counter': 5495, 'group_order': 1600, 'label': '20AC-9', 'order': 20, 'powers': [230, 22], 'representative': 668, 'size': 2}
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id: 122396364
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 561, 'group_counter': 5495, 'group_order': 1600, 'label': '20AD1', 'order': 20, 'powers': [223, 21], 'representative': 1300, 'size': 2}
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id: 122396365
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 562, 'group_counter': 5495, 'group_order': 1600, 'label': '20AD-1', 'order': 20, 'powers': [224, 22], 'representative': 476, 'size': 2}
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id: 122396366
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 563, 'group_counter': 5495, 'group_order': 1600, 'label': '20AD3', 'order': 20, 'powers': [222, 22], 'representative': 700, 'size': 2}
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id: 122396367
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 564, 'group_counter': 5495, 'group_order': 1600, 'label': '20AD-3', 'order': 20, 'powers': [221, 21], 'representative': 276, 'size': 2}
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id: 122396368
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 565, 'group_counter': 5495, 'group_order': 1600, 'label': '20AD7', 'order': 20, 'powers': [221, 22], 'representative': 284, 'size': 2}
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id: 122396369
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 566, 'group_counter': 5495, 'group_order': 1600, 'label': '20AD-7', 'order': 20, 'powers': [222, 21], 'representative': 692, 'size': 2}
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id: 122396370
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 567, 'group_counter': 5495, 'group_order': 1600, 'label': '20AD9', 'order': 20, 'powers': [224, 21], 'representative': 468, 'size': 2}
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id: 122396371
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 568, 'group_counter': 5495, 'group_order': 1600, 'label': '20AD-9', 'order': 20, 'powers': [223, 22], 'representative': 1308, 'size': 2}
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id: 122396372
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 569, 'group_counter': 5495, 'group_order': 1600, 'label': '20AE1', 'order': 20, 'powers': [227, 23], 'representative': 341, 'size': 2}
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id: 122396374
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 570, 'group_counter': 5495, 'group_order': 1600, 'label': '20AE-1', 'order': 20, 'powers': [228, 24], 'representative': 1437, 'size': 2}
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id: 122396375
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 571, 'group_counter': 5495, 'group_order': 1600, 'label': '20AE3', 'order': 20, 'powers': [226, 24], 'representative': 221, 'size': 2}
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id: 122396376
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 572, 'group_counter': 5495, 'group_order': 1600, 'label': '20AE-3', 'order': 20, 'powers': [225, 23], 'representative': 757, 'size': 2}
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id: 122396377
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 573, 'group_counter': 5495, 'group_order': 1600, 'label': '20AE7', 'order': 20, 'powers': [225, 24], 'representative': 765, 'size': 2}
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id: 122396378
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 574, 'group_counter': 5495, 'group_order': 1600, 'label': '20AE-7', 'order': 20, 'powers': [226, 23], 'representative': 213, 'size': 2}
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id: 122396379
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 575, 'group_counter': 5495, 'group_order': 1600, 'label': '20AE9', 'order': 20, 'powers': [228, 23], 'representative': 1429, 'size': 2}
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id: 122396380
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 576, 'group_counter': 5495, 'group_order': 1600, 'label': '20AE-9', 'order': 20, 'powers': [227, 24], 'representative': 349, 'size': 2}
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id: 122396381
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 577, 'group_counter': 5495, 'group_order': 1600, 'label': '20AF1', 'order': 20, 'powers': [219, 23], 'representative': 181, 'size': 2}
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id: 122396382
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 578, 'group_counter': 5495, 'group_order': 1600, 'label': '20AF-1', 'order': 20, 'powers': [220, 24], 'representative': 797, 'size': 2}
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id: 122396383
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 579, 'group_counter': 5495, 'group_order': 1600, 'label': '20AF3', 'order': 20, 'powers': [218, 24], 'representative': 1341, 'size': 2}
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id: 122396385
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 580, 'group_counter': 5495, 'group_order': 1600, 'label': '20AF-3', 'order': 20, 'powers': [217, 23], 'representative': 437, 'size': 2}
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id: 122396386
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 581, 'group_counter': 5495, 'group_order': 1600, 'label': '20AF7', 'order': 20, 'powers': [217, 24], 'representative': 445, 'size': 2}
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id: 122396387
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 582, 'group_counter': 5495, 'group_order': 1600, 'label': '20AF-7', 'order': 20, 'powers': [218, 23], 'representative': 1333, 'size': 2}
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id: 122396388
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 583, 'group_counter': 5495, 'group_order': 1600, 'label': '20AF9', 'order': 20, 'powers': [220, 23], 'representative': 789, 'size': 2}
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id: 122396389
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 584, 'group_counter': 5495, 'group_order': 1600, 'label': '20AF-9', 'order': 20, 'powers': [219, 24], 'representative': 189, 'size': 2}
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id: 122396390
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 585, 'group_counter': 5495, 'group_order': 1600, 'label': '20AG1', 'order': 20, 'powers': [209, 21], 'representative': 404, 'size': 2}
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id: 122396391
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 586, 'group_counter': 5495, 'group_order': 1600, 'label': '20AG-1', 'order': 20, 'powers': [210, 22], 'representative': 1372, 'size': 2}
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id: 122396392
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 587, 'group_counter': 5495, 'group_order': 1600, 'label': '20AG3', 'order': 20, 'powers': [211, 22], 'representative': 252, 'size': 2}
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id: 122396393
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 588, 'group_counter': 5495, 'group_order': 1600, 'label': '20AG-3', 'order': 20, 'powers': [212, 21], 'representative': 724, 'size': 2}
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id: 122396394
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 589, 'group_counter': 5495, 'group_order': 1600, 'label': '20AG7', 'order': 20, 'powers': [212, 22], 'representative': 732, 'size': 2}
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id: 122396396
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 590, 'group_counter': 5495, 'group_order': 1600, 'label': '20AG-7', 'order': 20, 'powers': [211, 21], 'representative': 244, 'size': 2}
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id: 122396397
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 591, 'group_counter': 5495, 'group_order': 1600, 'label': '20AG9', 'order': 20, 'powers': [210, 21], 'representative': 1364, 'size': 2}
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id: 122396398
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 592, 'group_counter': 5495, 'group_order': 1600, 'label': '20AG-9', 'order': 20, 'powers': [209, 22], 'representative': 412, 'size': 2}
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id: 122396399
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 593, 'group_counter': 5495, 'group_order': 1600, 'label': '20AH1', 'order': 20, 'powers': [230, 23], 'representative': 661, 'size': 2}
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id: 122396400
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 594, 'group_counter': 5495, 'group_order': 1600, 'label': '20AH-1', 'order': 20, 'powers': [229, 24], 'representative': 317, 'size': 2}
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id: 122396401
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 595, 'group_counter': 5495, 'group_order': 1600, 'label': '20AH3', 'order': 20, 'powers': [232, 24], 'representative': 381, 'size': 2}
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id: 122396402
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 596, 'group_counter': 5495, 'group_order': 1600, 'label': '20AH-3', 'order': 20, 'powers': [231, 23], 'representative': 1397, 'size': 2}
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id: 122396403
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 597, 'group_counter': 5495, 'group_order': 1600, 'label': '20AH7', 'order': 20, 'powers': [231, 24], 'representative': 1405, 'size': 2}
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id: 122396404
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 598, 'group_counter': 5495, 'group_order': 1600, 'label': '20AH-7', 'order': 20, 'powers': [232, 23], 'representative': 373, 'size': 2}
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id: 122396405
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 599, 'group_counter': 5495, 'group_order': 1600, 'label': '20AH9', 'order': 20, 'powers': [229, 23], 'representative': 309, 'size': 2}
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id: 122396408
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 600, 'group_counter': 5495, 'group_order': 1600, 'label': '20AH-9', 'order': 20, 'powers': [230, 24], 'representative': 669, 'size': 2}
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id: 122396409
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 601, 'group_counter': 5495, 'group_order': 1600, 'label': '20AI1', 'order': 20, 'powers': [223, 23], 'representative': 1301, 'size': 2}
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id: 122396410
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 602, 'group_counter': 5495, 'group_order': 1600, 'label': '20AI-1', 'order': 20, 'powers': [224, 24], 'representative': 477, 'size': 2}
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id: 122396411
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 603, 'group_counter': 5495, 'group_order': 1600, 'label': '20AI3', 'order': 20, 'powers': [222, 24], 'representative': 701, 'size': 2}
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id: 122396412
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 604, 'group_counter': 5495, 'group_order': 1600, 'label': '20AI-3', 'order': 20, 'powers': [221, 23], 'representative': 277, 'size': 2}
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id: 122396413
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 605, 'group_counter': 5495, 'group_order': 1600, 'label': '20AI7', 'order': 20, 'powers': [221, 24], 'representative': 285, 'size': 2}
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id: 122396414
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 606, 'group_counter': 5495, 'group_order': 1600, 'label': '20AI-7', 'order': 20, 'powers': [222, 23], 'representative': 693, 'size': 2}
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id: 122396415
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 607, 'group_counter': 5495, 'group_order': 1600, 'label': '20AI9', 'order': 20, 'powers': [224, 23], 'representative': 469, 'size': 2}
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id: 122396416
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 608, 'group_counter': 5495, 'group_order': 1600, 'label': '20AI-9', 'order': 20, 'powers': [223, 24], 'representative': 1309, 'size': 2}
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id: 122396417
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 609, 'group_counter': 5495, 'group_order': 1600, 'label': '20AJ1', 'order': 20, 'powers': [209, 23], 'representative': 405, 'size': 2}
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id: 122396419
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 610, 'group_counter': 5495, 'group_order': 1600, 'label': '20AJ-1', 'order': 20, 'powers': [210, 24], 'representative': 1373, 'size': 2}
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id: 122396420
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 611, 'group_counter': 5495, 'group_order': 1600, 'label': '20AJ3', 'order': 20, 'powers': [211, 24], 'representative': 253, 'size': 2}
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id: 122396421
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 612, 'group_counter': 5495, 'group_order': 1600, 'label': '20AJ-3', 'order': 20, 'powers': [212, 23], 'representative': 725, 'size': 2}
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id: 122396422
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 613, 'group_counter': 5495, 'group_order': 1600, 'label': '20AJ7', 'order': 20, 'powers': [212, 24], 'representative': 733, 'size': 2}
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id: 122396423
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 614, 'group_counter': 5495, 'group_order': 1600, 'label': '20AJ-7', 'order': 20, 'powers': [211, 23], 'representative': 245, 'size': 2}
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id: 122396424
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 615, 'group_counter': 5495, 'group_order': 1600, 'label': '20AJ9', 'order': 20, 'powers': [210, 23], 'representative': 1365, 'size': 2}
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id: 122396425
{'aut_label': '20Y1', 'centralizer': '2.a1', 'counter': 616, 'group_counter': 5495, 'group_order': 1600, 'label': '20AJ-9', 'order': 20, 'powers': [209, 24], 'representative': 413, 'size': 2}
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id: 122396426
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 617, 'group_counter': 5495, 'group_order': 1600, 'label': '40A1', 'order': 40, 'powers': [425, 49], 'representative': 322, 'size': 2}
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id: 122396427
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 618, 'group_counter': 5495, 'group_order': 1600, 'label': '40A-1', 'order': 40, 'powers': [426, 50], 'representative': 1294, 'size': 2}
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id: 122396428
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 619, 'group_counter': 5495, 'group_order': 1600, 'label': '40A3', 'order': 40, 'powers': [427, 51], 'representative': 166, 'size': 2}
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id: 122396430
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 620, 'group_counter': 5495, 'group_order': 1600, 'label': '40A-3', 'order': 40, 'powers': [428, 52], 'representative': 650, 'size': 2}
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id: 122396431
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 621, 'group_counter': 5495, 'group_order': 1600, 'label': '40A7', 'order': 40, 'powers': [429, 50], 'representative': 654, 'size': 2}
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id: 122396432
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 622, 'group_counter': 5495, 'group_order': 1600, 'label': '40A-7', 'order': 40, 'powers': [430, 49], 'representative': 162, 'size': 2}
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id: 122396433
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 623, 'group_counter': 5495, 'group_order': 1600, 'label': '40A9', 'order': 40, 'powers': [431, 49], 'representative': 1282, 'size': 2}
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id: 122396434
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 624, 'group_counter': 5495, 'group_order': 1600, 'label': '40A-9', 'order': 40, 'powers': [432, 50], 'representative': 334, 'size': 2}
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id: 122396435
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 625, 'group_counter': 5495, 'group_order': 1600, 'label': '40A11', 'order': 40, 'powers': [432, 51], 'representative': 326, 'size': 2}
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id: 122396436
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 626, 'group_counter': 5495, 'group_order': 1600, 'label': '40A-11', 'order': 40, 'powers': [431, 52], 'representative': 1290, 'size': 2}
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id: 122396437
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 627, 'group_counter': 5495, 'group_order': 1600, 'label': '40A13', 'order': 40, 'powers': [430, 52], 'representative': 170, 'size': 2}
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id: 122396438
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 628, 'group_counter': 5495, 'group_order': 1600, 'label': '40A-13', 'order': 40, 'powers': [429, 51], 'representative': 646, 'size': 2}
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id: 122396439
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 629, 'group_counter': 5495, 'group_order': 1600, 'label': '40A17', 'order': 40, 'powers': [428, 49], 'representative': 642, 'size': 2}
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id: 122396441
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 630, 'group_counter': 5495, 'group_order': 1600, 'label': '40A-17', 'order': 40, 'powers': [427, 50], 'representative': 174, 'size': 2}
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id: 122396442
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 631, 'group_counter': 5495, 'group_order': 1600, 'label': '40A19', 'order': 40, 'powers': [426, 51], 'representative': 1286, 'size': 2}
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id: 122396443
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 632, 'group_counter': 5495, 'group_order': 1600, 'label': '40A-19', 'order': 40, 'powers': [425, 52], 'representative': 330, 'size': 2}
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id: 122396444
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 633, 'group_counter': 5495, 'group_order': 1600, 'label': '40B1', 'order': 40, 'powers': [433, 49], 'representative': 34, 'size': 2}
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id: 122396445
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 634, 'group_counter': 5495, 'group_order': 1600, 'label': '40B-1', 'order': 40, 'powers': [434, 50], 'representative': 142, 'size': 2}
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id: 122396446
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 635, 'group_counter': 5495, 'group_order': 1600, 'label': '40B3', 'order': 40, 'powers': [435, 51], 'representative': 102, 'size': 2}
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id: 122396447
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 636, 'group_counter': 5495, 'group_order': 1600, 'label': '40B-3', 'order': 40, 'powers': [436, 52], 'representative': 74, 'size': 2}
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id: 122396448
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 637, 'group_counter': 5495, 'group_order': 1600, 'label': '40B7', 'order': 40, 'powers': [437, 50], 'representative': 78, 'size': 2}
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id: 122396449
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 638, 'group_counter': 5495, 'group_order': 1600, 'label': '40B-7', 'order': 40, 'powers': [438, 49], 'representative': 98, 'size': 2}
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id: 122396450
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 639, 'group_counter': 5495, 'group_order': 1600, 'label': '40B9', 'order': 40, 'powers': [439, 49], 'representative': 130, 'size': 2}
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id: 122396452
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 640, 'group_counter': 5495, 'group_order': 1600, 'label': '40B-9', 'order': 40, 'powers': [440, 50], 'representative': 46, 'size': 2}
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id: 122396453
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 641, 'group_counter': 5495, 'group_order': 1600, 'label': '40B11', 'order': 40, 'powers': [440, 51], 'representative': 38, 'size': 2}
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id: 122396454
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 642, 'group_counter': 5495, 'group_order': 1600, 'label': '40B-11', 'order': 40, 'powers': [439, 52], 'representative': 138, 'size': 2}
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id: 122396455
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 643, 'group_counter': 5495, 'group_order': 1600, 'label': '40B13', 'order': 40, 'powers': [438, 52], 'representative': 106, 'size': 2}
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id: 122396456
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 644, 'group_counter': 5495, 'group_order': 1600, 'label': '40B-13', 'order': 40, 'powers': [437, 51], 'representative': 70, 'size': 2}
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id: 122396457
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 645, 'group_counter': 5495, 'group_order': 1600, 'label': '40B17', 'order': 40, 'powers': [436, 49], 'representative': 66, 'size': 2}
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id: 122396458
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 646, 'group_counter': 5495, 'group_order': 1600, 'label': '40B-17', 'order': 40, 'powers': [435, 50], 'representative': 110, 'size': 2}
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id: 122396459
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 647, 'group_counter': 5495, 'group_order': 1600, 'label': '40B19', 'order': 40, 'powers': [434, 51], 'representative': 134, 'size': 2}
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id: 122396460
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 648, 'group_counter': 5495, 'group_order': 1600, 'label': '40B-19', 'order': 40, 'powers': [433, 52], 'representative': 42, 'size': 2}
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id: 122396461
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 649, 'group_counter': 5495, 'group_order': 1600, 'label': '40C1', 'order': 40, 'powers': [441, 53], 'representative': 18, 'size': 2}
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id: 122396463
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 650, 'group_counter': 5495, 'group_order': 1600, 'label': '40C-1', 'order': 40, 'powers': [442, 54], 'representative': 158, 'size': 2}
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id: 122396464
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 651, 'group_counter': 5495, 'group_order': 1600, 'label': '40C3', 'order': 40, 'powers': [443, 55], 'representative': 54, 'size': 2}
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id: 122396465
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 652, 'group_counter': 5495, 'group_order': 1600, 'label': '40C-3', 'order': 40, 'powers': [444, 56], 'representative': 122, 'size': 2}
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id: 122396466
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 653, 'group_counter': 5495, 'group_order': 1600, 'label': '40C7', 'order': 40, 'powers': [445, 54], 'representative': 126, 'size': 2}
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id: 122396467
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 654, 'group_counter': 5495, 'group_order': 1600, 'label': '40C-7', 'order': 40, 'powers': [446, 53], 'representative': 50, 'size': 2}
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id: 122396468
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 655, 'group_counter': 5495, 'group_order': 1600, 'label': '40C9', 'order': 40, 'powers': [447, 53], 'representative': 146, 'size': 2}
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id: 122396469
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 656, 'group_counter': 5495, 'group_order': 1600, 'label': '40C-9', 'order': 40, 'powers': [448, 54], 'representative': 30, 'size': 2}
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id: 122396470
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 657, 'group_counter': 5495, 'group_order': 1600, 'label': '40C11', 'order': 40, 'powers': [448, 55], 'representative': 22, 'size': 2}
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id: 122396471
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 658, 'group_counter': 5495, 'group_order': 1600, 'label': '40C-11', 'order': 40, 'powers': [447, 56], 'representative': 154, 'size': 2}
-
id: 122396472
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 659, 'group_counter': 5495, 'group_order': 1600, 'label': '40C13', 'order': 40, 'powers': [446, 56], 'representative': 58, 'size': 2}
-
id: 122396474
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 660, 'group_counter': 5495, 'group_order': 1600, 'label': '40C-13', 'order': 40, 'powers': [445, 55], 'representative': 118, 'size': 2}
-
id: 122396475
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 661, 'group_counter': 5495, 'group_order': 1600, 'label': '40C17', 'order': 40, 'powers': [444, 53], 'representative': 114, 'size': 2}
-
id: 122396476
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 662, 'group_counter': 5495, 'group_order': 1600, 'label': '40C-17', 'order': 40, 'powers': [443, 54], 'representative': 62, 'size': 2}
-
id: 122396477
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 663, 'group_counter': 5495, 'group_order': 1600, 'label': '40C19', 'order': 40, 'powers': [442, 55], 'representative': 150, 'size': 2}
-
id: 122396478
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 664, 'group_counter': 5495, 'group_order': 1600, 'label': '40C-19', 'order': 40, 'powers': [441, 56], 'representative': 26, 'size': 2}
-
id: 122396479
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 665, 'group_counter': 5495, 'group_order': 1600, 'label': '40D1', 'order': 40, 'powers': [449, 49], 'representative': 354, 'size': 2}
-
id: 122396480
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 666, 'group_counter': 5495, 'group_order': 1600, 'label': '40D-1', 'order': 40, 'powers': [450, 50], 'representative': 1422, 'size': 2}
-
id: 122396481
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 667, 'group_counter': 5495, 'group_order': 1600, 'label': '40D3', 'order': 40, 'powers': [451, 51], 'representative': 262, 'size': 2}
-
id: 122396482
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 668, 'group_counter': 5495, 'group_order': 1600, 'label': '40D-3', 'order': 40, 'powers': [452, 52], 'representative': 714, 'size': 2}
-
id: 122396483
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 669, 'group_counter': 5495, 'group_order': 1600, 'label': '40D7', 'order': 40, 'powers': [453, 50], 'representative': 718, 'size': 2}
-
id: 122396485
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 670, 'group_counter': 5495, 'group_order': 1600, 'label': '40D-7', 'order': 40, 'powers': [454, 49], 'representative': 258, 'size': 2}
-
id: 122396486
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 671, 'group_counter': 5495, 'group_order': 1600, 'label': '40D9', 'order': 40, 'powers': [455, 49], 'representative': 1410, 'size': 2}
-
id: 122396487
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 672, 'group_counter': 5495, 'group_order': 1600, 'label': '40D-9', 'order': 40, 'powers': [456, 50], 'representative': 366, 'size': 2}
-
id: 122396488
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 673, 'group_counter': 5495, 'group_order': 1600, 'label': '40D11', 'order': 40, 'powers': [456, 51], 'representative': 358, 'size': 2}
-
id: 122396489
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 674, 'group_counter': 5495, 'group_order': 1600, 'label': '40D-11', 'order': 40, 'powers': [455, 52], 'representative': 1418, 'size': 2}
-
id: 122396490
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 675, 'group_counter': 5495, 'group_order': 1600, 'label': '40D13', 'order': 40, 'powers': [454, 52], 'representative': 266, 'size': 2}
-
id: 122396491
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 676, 'group_counter': 5495, 'group_order': 1600, 'label': '40D-13', 'order': 40, 'powers': [453, 51], 'representative': 710, 'size': 2}
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id: 122396492
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id: 122396493
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id: 122396496
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id: 122396497
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id: 122396498
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id: 122396499
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id: 122396500
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id: 122396501
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id: 122396502
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id: 122396503
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id: 122396504
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id: 122396505
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id: 122396507
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id: 122396508
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id: 122396509
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id: 122396510
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id: 122396511
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id: 122396512
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id: 122396513
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id: 122396514
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id: 122396515
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id: 122396516
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id: 122396519
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id: 122396520
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id: 122396521
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id: 122396522
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id: 122396523
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id: 122396524
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id: 122396525
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id: 122396526
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id: 122396527
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id: 122396528
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id: 122396530
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id: 122396531
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id: 122396532
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id: 122396533
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id: 122396534
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id: 122396535
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id: 122396536
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id: 122396537
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id: 122396538
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id: 122396539
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id: 122396541
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id: 122396542
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id: 122396543
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id: 122396544
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id: 122396545
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id: 122396546
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id: 122396547
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 726, 'group_counter': 5495, 'group_order': 1600, 'label': '40G-17', 'order': 40, 'powers': [475, 54], 'representative': 1342, 'size': 2}
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id: 122396548
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id: 122396549
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id: 122396550
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id: 122396552
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id: 122396553
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id: 122396554
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 732, 'group_counter': 5495, 'group_order': 1600, 'label': '40H-3', 'order': 40, 'powers': [428, 60], 'representative': 651, 'size': 2}
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id: 122396555
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id: 122396556
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id: 122396557
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id: 122396558
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id: 122396559
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id: 122396560
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id: 122396561
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id: 122396563
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id: 122396564
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id: 122396565
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id: 122396571
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id: 122396574
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id: 122396575
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id: 122396580
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id: 122396582
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id: 122396583
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id: 122396585
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id: 122396587
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id: 122396588
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 763, 'group_counter': 5495, 'group_order': 1600, 'label': '40J3', 'order': 40, 'powers': [443, 63], 'representative': 55, 'size': 2}
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id: 122396589
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id: 122396590
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id: 122396591
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id: 122396592
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id: 122396593
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id: 122396594
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id: 122396596
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id: 122396597
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id: 122396598
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 772, 'group_counter': 5495, 'group_order': 1600, 'label': '40J-13', 'order': 40, 'powers': [445, 63], 'representative': 119, 'size': 2}
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id: 122396599
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 773, 'group_counter': 5495, 'group_order': 1600, 'label': '40J17', 'order': 40, 'powers': [444, 61], 'representative': 115, 'size': 2}
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id: 122396600
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 774, 'group_counter': 5495, 'group_order': 1600, 'label': '40J-17', 'order': 40, 'powers': [443, 62], 'representative': 63, 'size': 2}
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id: 122396601
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 775, 'group_counter': 5495, 'group_order': 1600, 'label': '40J19', 'order': 40, 'powers': [442, 63], 'representative': 151, 'size': 2}
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id: 122396602
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 776, 'group_counter': 5495, 'group_order': 1600, 'label': '40J-19', 'order': 40, 'powers': [441, 64], 'representative': 27, 'size': 2}
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id: 122396603
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 777, 'group_counter': 5495, 'group_order': 1600, 'label': '40K1', 'order': 40, 'powers': [481, 49], 'representative': 674, 'size': 2}
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id: 122396604
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 778, 'group_counter': 5495, 'group_order': 1600, 'label': '40K-1', 'order': 40, 'powers': [482, 50], 'representative': 302, 'size': 2}
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id: 122396605
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 779, 'group_counter': 5495, 'group_order': 1600, 'label': '40K3', 'order': 40, 'powers': [483, 51], 'representative': 422, 'size': 2}
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id: 122396607
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 780, 'group_counter': 5495, 'group_order': 1600, 'label': '40K-3', 'order': 40, 'powers': [484, 52], 'representative': 1354, 'size': 2}
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id: 122396608
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 781, 'group_counter': 5495, 'group_order': 1600, 'label': '40K7', 'order': 40, 'powers': [485, 50], 'representative': 1358, 'size': 2}
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id: 122396609
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 782, 'group_counter': 5495, 'group_order': 1600, 'label': '40K-7', 'order': 40, 'powers': [486, 49], 'representative': 418, 'size': 2}
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id: 122396610
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 783, 'group_counter': 5495, 'group_order': 1600, 'label': '40K9', 'order': 40, 'powers': [487, 49], 'representative': 290, 'size': 2}
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id: 122396611
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 784, 'group_counter': 5495, 'group_order': 1600, 'label': '40K-9', 'order': 40, 'powers': [488, 50], 'representative': 686, 'size': 2}
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id: 122396612
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 785, 'group_counter': 5495, 'group_order': 1600, 'label': '40K11', 'order': 40, 'powers': [488, 51], 'representative': 678, 'size': 2}
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id: 122396613
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 786, 'group_counter': 5495, 'group_order': 1600, 'label': '40K-11', 'order': 40, 'powers': [487, 52], 'representative': 298, 'size': 2}
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id: 122396614
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 787, 'group_counter': 5495, 'group_order': 1600, 'label': '40K13', 'order': 40, 'powers': [486, 52], 'representative': 426, 'size': 2}
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id: 122396615
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 788, 'group_counter': 5495, 'group_order': 1600, 'label': '40K-13', 'order': 40, 'powers': [485, 51], 'representative': 1350, 'size': 2}
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id: 122396616
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 789, 'group_counter': 5495, 'group_order': 1600, 'label': '40K17', 'order': 40, 'powers': [484, 49], 'representative': 1346, 'size': 2}
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id: 122396618
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 790, 'group_counter': 5495, 'group_order': 1600, 'label': '40K-17', 'order': 40, 'powers': [483, 50], 'representative': 430, 'size': 2}
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id: 122396619
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 791, 'group_counter': 5495, 'group_order': 1600, 'label': '40K19', 'order': 40, 'powers': [482, 51], 'representative': 294, 'size': 2}
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id: 122396620
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 792, 'group_counter': 5495, 'group_order': 1600, 'label': '40K-19', 'order': 40, 'powers': [481, 52], 'representative': 682, 'size': 2}
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id: 122396621
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 793, 'group_counter': 5495, 'group_order': 1600, 'label': '40L1', 'order': 40, 'powers': [489, 49], 'representative': 226, 'size': 2}
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id: 122396622
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 794, 'group_counter': 5495, 'group_order': 1600, 'label': '40L-1', 'order': 40, 'powers': [490, 50], 'representative': 750, 'size': 2}
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id: 122396623
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 795, 'group_counter': 5495, 'group_order': 1600, 'label': '40L3', 'order': 40, 'powers': [491, 51], 'representative': 1318, 'size': 2}
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id: 122396624
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 796, 'group_counter': 5495, 'group_order': 1600, 'label': '40L-3', 'order': 40, 'powers': [492, 52], 'representative': 458, 'size': 2}
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id: 122396625
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 797, 'group_counter': 5495, 'group_order': 1600, 'label': '40L7', 'order': 40, 'powers': [493, 50], 'representative': 462, 'size': 2}
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id: 122396626
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 798, 'group_counter': 5495, 'group_order': 1600, 'label': '40L-7', 'order': 40, 'powers': [494, 49], 'representative': 1314, 'size': 2}
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id: 122396627
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 799, 'group_counter': 5495, 'group_order': 1600, 'label': '40L9', 'order': 40, 'powers': [495, 49], 'representative': 738, 'size': 2}
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id: 122396630
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 800, 'group_counter': 5495, 'group_order': 1600, 'label': '40L-9', 'order': 40, 'powers': [496, 50], 'representative': 238, 'size': 2}
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id: 122396631
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 801, 'group_counter': 5495, 'group_order': 1600, 'label': '40L11', 'order': 40, 'powers': [496, 51], 'representative': 230, 'size': 2}
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id: 122396632
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 802, 'group_counter': 5495, 'group_order': 1600, 'label': '40L-11', 'order': 40, 'powers': [495, 52], 'representative': 746, 'size': 2}
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id: 122396633
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 803, 'group_counter': 5495, 'group_order': 1600, 'label': '40L13', 'order': 40, 'powers': [494, 52], 'representative': 1322, 'size': 2}
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id: 122396634
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 804, 'group_counter': 5495, 'group_order': 1600, 'label': '40L-13', 'order': 40, 'powers': [493, 51], 'representative': 454, 'size': 2}
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id: 122396635
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 805, 'group_counter': 5495, 'group_order': 1600, 'label': '40L17', 'order': 40, 'powers': [492, 49], 'representative': 450, 'size': 2}
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id: 122396636
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 806, 'group_counter': 5495, 'group_order': 1600, 'label': '40L-17', 'order': 40, 'powers': [491, 50], 'representative': 1326, 'size': 2}
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id: 122396637
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 807, 'group_counter': 5495, 'group_order': 1600, 'label': '40L19', 'order': 40, 'powers': [490, 51], 'representative': 742, 'size': 2}
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id: 122396638
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 808, 'group_counter': 5495, 'group_order': 1600, 'label': '40L-19', 'order': 40, 'powers': [489, 52], 'representative': 234, 'size': 2}
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id: 122396639
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 809, 'group_counter': 5495, 'group_order': 1600, 'label': '40M1', 'order': 40, 'powers': [497, 53], 'representative': 658, 'size': 2}
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id: 122396641
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 810, 'group_counter': 5495, 'group_order': 1600, 'label': '40M-1', 'order': 40, 'powers': [498, 54], 'representative': 318, 'size': 2}
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id: 122396642
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 811, 'group_counter': 5495, 'group_order': 1600, 'label': '40M3', 'order': 40, 'powers': [499, 55], 'representative': 374, 'size': 2}
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id: 122396643
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 812, 'group_counter': 5495, 'group_order': 1600, 'label': '40M-3', 'order': 40, 'powers': [500, 56], 'representative': 1402, 'size': 2}
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id: 122396644
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 813, 'group_counter': 5495, 'group_order': 1600, 'label': '40M7', 'order': 40, 'powers': [501, 54], 'representative': 1406, 'size': 2}
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id: 122396645
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 814, 'group_counter': 5495, 'group_order': 1600, 'label': '40M-7', 'order': 40, 'powers': [502, 53], 'representative': 370, 'size': 2}
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id: 122396646
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 815, 'group_counter': 5495, 'group_order': 1600, 'label': '40M9', 'order': 40, 'powers': [503, 53], 'representative': 306, 'size': 2}
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id: 122396647
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 816, 'group_counter': 5495, 'group_order': 1600, 'label': '40M-9', 'order': 40, 'powers': [504, 54], 'representative': 670, 'size': 2}
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id: 122396648
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 817, 'group_counter': 5495, 'group_order': 1600, 'label': '40M11', 'order': 40, 'powers': [504, 55], 'representative': 662, 'size': 2}
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id: 122396649
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 818, 'group_counter': 5495, 'group_order': 1600, 'label': '40M-11', 'order': 40, 'powers': [503, 56], 'representative': 314, 'size': 2}
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id: 122396650
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 819, 'group_counter': 5495, 'group_order': 1600, 'label': '40M13', 'order': 40, 'powers': [502, 56], 'representative': 378, 'size': 2}
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id: 122396652
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 820, 'group_counter': 5495, 'group_order': 1600, 'label': '40M-13', 'order': 40, 'powers': [501, 55], 'representative': 1398, 'size': 2}
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id: 122396653
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 821, 'group_counter': 5495, 'group_order': 1600, 'label': '40M17', 'order': 40, 'powers': [500, 53], 'representative': 1394, 'size': 2}
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id: 122396654
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 822, 'group_counter': 5495, 'group_order': 1600, 'label': '40M-17', 'order': 40, 'powers': [499, 54], 'representative': 382, 'size': 2}
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id: 122396655
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 823, 'group_counter': 5495, 'group_order': 1600, 'label': '40M19', 'order': 40, 'powers': [498, 55], 'representative': 310, 'size': 2}
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id: 122396656
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 824, 'group_counter': 5495, 'group_order': 1600, 'label': '40M-19', 'order': 40, 'powers': [497, 56], 'representative': 666, 'size': 2}
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id: 122396657
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 825, 'group_counter': 5495, 'group_order': 1600, 'label': '40N1', 'order': 40, 'powers': [505, 53], 'representative': 1298, 'size': 2}
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id: 122396658
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 826, 'group_counter': 5495, 'group_order': 1600, 'label': '40N-1', 'order': 40, 'powers': [506, 54], 'representative': 478, 'size': 2}
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id: 122396659
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 827, 'group_counter': 5495, 'group_order': 1600, 'label': '40N3', 'order': 40, 'powers': [507, 55], 'representative': 694, 'size': 2}
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id: 122396660
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 828, 'group_counter': 5495, 'group_order': 1600, 'label': '40N-3', 'order': 40, 'powers': [508, 56], 'representative': 282, 'size': 2}
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id: 122396661
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 829, 'group_counter': 5495, 'group_order': 1600, 'label': '40N7', 'order': 40, 'powers': [509, 54], 'representative': 286, 'size': 2}
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id: 122396663
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 830, 'group_counter': 5495, 'group_order': 1600, 'label': '40N-7', 'order': 40, 'powers': [510, 53], 'representative': 690, 'size': 2}
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id: 122396664
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 831, 'group_counter': 5495, 'group_order': 1600, 'label': '40N9', 'order': 40, 'powers': [511, 53], 'representative': 466, 'size': 2}
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id: 122396665
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 832, 'group_counter': 5495, 'group_order': 1600, 'label': '40N-9', 'order': 40, 'powers': [512, 54], 'representative': 1310, 'size': 2}
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id: 122396666
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 833, 'group_counter': 5495, 'group_order': 1600, 'label': '40N11', 'order': 40, 'powers': [512, 55], 'representative': 1302, 'size': 2}
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id: 122396667
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 834, 'group_counter': 5495, 'group_order': 1600, 'label': '40N-11', 'order': 40, 'powers': [511, 56], 'representative': 474, 'size': 2}
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id: 122396668
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 835, 'group_counter': 5495, 'group_order': 1600, 'label': '40N13', 'order': 40, 'powers': [510, 56], 'representative': 698, 'size': 2}
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id: 122396669
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 836, 'group_counter': 5495, 'group_order': 1600, 'label': '40N-13', 'order': 40, 'powers': [509, 55], 'representative': 278, 'size': 2}
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id: 122396670
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 837, 'group_counter': 5495, 'group_order': 1600, 'label': '40N17', 'order': 40, 'powers': [508, 53], 'representative': 274, 'size': 2}
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id: 122396671
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 838, 'group_counter': 5495, 'group_order': 1600, 'label': '40N-17', 'order': 40, 'powers': [507, 54], 'representative': 702, 'size': 2}
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id: 122396672
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 839, 'group_counter': 5495, 'group_order': 1600, 'label': '40N19', 'order': 40, 'powers': [506, 55], 'representative': 470, 'size': 2}
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id: 122396674
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 840, 'group_counter': 5495, 'group_order': 1600, 'label': '40N-19', 'order': 40, 'powers': [505, 56], 'representative': 1306, 'size': 2}
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id: 122396675
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 841, 'group_counter': 5495, 'group_order': 1600, 'label': '40O1', 'order': 40, 'powers': [449, 57], 'representative': 355, 'size': 2}
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id: 122396676
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 842, 'group_counter': 5495, 'group_order': 1600, 'label': '40O-1', 'order': 40, 'powers': [450, 58], 'representative': 1423, 'size': 2}
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id: 122396677
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 843, 'group_counter': 5495, 'group_order': 1600, 'label': '40O3', 'order': 40, 'powers': [451, 59], 'representative': 263, 'size': 2}
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id: 122396678
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 844, 'group_counter': 5495, 'group_order': 1600, 'label': '40O-3', 'order': 40, 'powers': [452, 60], 'representative': 715, 'size': 2}
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id: 122396679
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 845, 'group_counter': 5495, 'group_order': 1600, 'label': '40O7', 'order': 40, 'powers': [453, 58], 'representative': 719, 'size': 2}
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id: 122396680
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 846, 'group_counter': 5495, 'group_order': 1600, 'label': '40O-7', 'order': 40, 'powers': [454, 57], 'representative': 259, 'size': 2}
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id: 122396681
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 847, 'group_counter': 5495, 'group_order': 1600, 'label': '40O9', 'order': 40, 'powers': [455, 57], 'representative': 1411, 'size': 2}
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id: 122396682
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 848, 'group_counter': 5495, 'group_order': 1600, 'label': '40O-9', 'order': 40, 'powers': [456, 58], 'representative': 367, 'size': 2}
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id: 122396683
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 849, 'group_counter': 5495, 'group_order': 1600, 'label': '40O11', 'order': 40, 'powers': [456, 59], 'representative': 359, 'size': 2}
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id: 122396685
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 850, 'group_counter': 5495, 'group_order': 1600, 'label': '40O-11', 'order': 40, 'powers': [455, 60], 'representative': 1419, 'size': 2}
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id: 122396686
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 851, 'group_counter': 5495, 'group_order': 1600, 'label': '40O13', 'order': 40, 'powers': [454, 60], 'representative': 267, 'size': 2}
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id: 122396687
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 852, 'group_counter': 5495, 'group_order': 1600, 'label': '40O-13', 'order': 40, 'powers': [453, 59], 'representative': 711, 'size': 2}
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id: 122396688
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 853, 'group_counter': 5495, 'group_order': 1600, 'label': '40O17', 'order': 40, 'powers': [452, 57], 'representative': 707, 'size': 2}
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id: 122396689
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 854, 'group_counter': 5495, 'group_order': 1600, 'label': '40O-17', 'order': 40, 'powers': [451, 58], 'representative': 271, 'size': 2}
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id: 122396690
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 855, 'group_counter': 5495, 'group_order': 1600, 'label': '40O19', 'order': 40, 'powers': [450, 59], 'representative': 1415, 'size': 2}
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id: 122396691
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 856, 'group_counter': 5495, 'group_order': 1600, 'label': '40O-19', 'order': 40, 'powers': [449, 60], 'representative': 363, 'size': 2}
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id: 122396692
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 857, 'group_counter': 5495, 'group_order': 1600, 'label': '40P1', 'order': 40, 'powers': [457, 57], 'representative': 195, 'size': 2}
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id: 122396693
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 858, 'group_counter': 5495, 'group_order': 1600, 'label': '40P-1', 'order': 40, 'powers': [458, 58], 'representative': 783, 'size': 2}
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id: 122396694
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 859, 'group_counter': 5495, 'group_order': 1600, 'label': '40P3', 'order': 40, 'powers': [459, 59], 'representative': 1383, 'size': 2}
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id: 122396696
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 860, 'group_counter': 5495, 'group_order': 1600, 'label': '40P-3', 'order': 40, 'powers': [460, 60], 'representative': 395, 'size': 2}
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id: 122396697
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 861, 'group_counter': 5495, 'group_order': 1600, 'label': '40P7', 'order': 40, 'powers': [461, 58], 'representative': 399, 'size': 2}
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id: 122396698
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 862, 'group_counter': 5495, 'group_order': 1600, 'label': '40P-7', 'order': 40, 'powers': [462, 57], 'representative': 1379, 'size': 2}
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id: 122396699
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 863, 'group_counter': 5495, 'group_order': 1600, 'label': '40P9', 'order': 40, 'powers': [463, 57], 'representative': 771, 'size': 2}
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id: 122396700
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 864, 'group_counter': 5495, 'group_order': 1600, 'label': '40P-9', 'order': 40, 'powers': [464, 58], 'representative': 207, 'size': 2}
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id: 122396701
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id: 122396702
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id: 122396703
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id: 122396704
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 868, 'group_counter': 5495, 'group_order': 1600, 'label': '40P-13', 'order': 40, 'powers': [461, 59], 'representative': 391, 'size': 2}
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id: 122396705
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 869, 'group_counter': 5495, 'group_order': 1600, 'label': '40P17', 'order': 40, 'powers': [460, 57], 'representative': 387, 'size': 2}
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id: 122396707
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 870, 'group_counter': 5495, 'group_order': 1600, 'label': '40P-17', 'order': 40, 'powers': [459, 58], 'representative': 1391, 'size': 2}
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id: 122396708
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 871, 'group_counter': 5495, 'group_order': 1600, 'label': '40P19', 'order': 40, 'powers': [458, 59], 'representative': 775, 'size': 2}
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id: 122396709
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 872, 'group_counter': 5495, 'group_order': 1600, 'label': '40P-19', 'order': 40, 'powers': [457, 60], 'representative': 203, 'size': 2}
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id: 122396710
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 873, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q1', 'order': 40, 'powers': [465, 61], 'representative': 339, 'size': 2}
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id: 122396711
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 874, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q-1', 'order': 40, 'powers': [466, 62], 'representative': 1439, 'size': 2}
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id: 122396712
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 875, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q3', 'order': 40, 'powers': [467, 63], 'representative': 215, 'size': 2}
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id: 122396713
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 876, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q-3', 'order': 40, 'powers': [468, 64], 'representative': 763, 'size': 2}
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id: 122396714
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 877, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q7', 'order': 40, 'powers': [469, 62], 'representative': 767, 'size': 2}
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id: 122396715
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 878, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q-7', 'order': 40, 'powers': [470, 61], 'representative': 211, 'size': 2}
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id: 122396716
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 879, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q9', 'order': 40, 'powers': [471, 61], 'representative': 1427, 'size': 2}
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id: 122396718
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 880, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q-9', 'order': 40, 'powers': [472, 62], 'representative': 351, 'size': 2}
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id: 122396719
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 881, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q11', 'order': 40, 'powers': [472, 63], 'representative': 343, 'size': 2}
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id: 122396720
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 882, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q-11', 'order': 40, 'powers': [471, 64], 'representative': 1435, 'size': 2}
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id: 122396721
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 883, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q13', 'order': 40, 'powers': [470, 64], 'representative': 219, 'size': 2}
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id: 122396722
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 884, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q-13', 'order': 40, 'powers': [469, 63], 'representative': 759, 'size': 2}
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id: 122396723
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 885, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q17', 'order': 40, 'powers': [468, 61], 'representative': 755, 'size': 2}
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id: 122396724
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 886, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q-17', 'order': 40, 'powers': [467, 62], 'representative': 223, 'size': 2}
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id: 122396725
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 887, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q19', 'order': 40, 'powers': [466, 63], 'representative': 1431, 'size': 2}
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id: 122396726
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 888, 'group_counter': 5495, 'group_order': 1600, 'label': '40Q-19', 'order': 40, 'powers': [465, 64], 'representative': 347, 'size': 2}
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id: 122396727
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 889, 'group_counter': 5495, 'group_order': 1600, 'label': '40R1', 'order': 40, 'powers': [473, 61], 'representative': 179, 'size': 2}
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id: 122396729
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 890, 'group_counter': 5495, 'group_order': 1600, 'label': '40R-1', 'order': 40, 'powers': [474, 62], 'representative': 799, 'size': 2}
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id: 122396730
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 891, 'group_counter': 5495, 'group_order': 1600, 'label': '40R3', 'order': 40, 'powers': [475, 63], 'representative': 1335, 'size': 2}
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id: 122396731
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 892, 'group_counter': 5495, 'group_order': 1600, 'label': '40R-3', 'order': 40, 'powers': [476, 64], 'representative': 443, 'size': 2}
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id: 122396732
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 893, 'group_counter': 5495, 'group_order': 1600, 'label': '40R7', 'order': 40, 'powers': [477, 62], 'representative': 447, 'size': 2}
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id: 122396733
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 894, 'group_counter': 5495, 'group_order': 1600, 'label': '40R-7', 'order': 40, 'powers': [478, 61], 'representative': 1331, 'size': 2}
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id: 122396734
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 895, 'group_counter': 5495, 'group_order': 1600, 'label': '40R9', 'order': 40, 'powers': [479, 61], 'representative': 787, 'size': 2}
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id: 122396735
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 896, 'group_counter': 5495, 'group_order': 1600, 'label': '40R-9', 'order': 40, 'powers': [480, 62], 'representative': 191, 'size': 2}
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id: 122396736
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 897, 'group_counter': 5495, 'group_order': 1600, 'label': '40R11', 'order': 40, 'powers': [480, 63], 'representative': 183, 'size': 2}
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id: 122396737
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 898, 'group_counter': 5495, 'group_order': 1600, 'label': '40R-11', 'order': 40, 'powers': [479, 64], 'representative': 795, 'size': 2}
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id: 122396738
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 899, 'group_counter': 5495, 'group_order': 1600, 'label': '40R13', 'order': 40, 'powers': [478, 64], 'representative': 1339, 'size': 2}
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id: 122396741
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 900, 'group_counter': 5495, 'group_order': 1600, 'label': '40R-13', 'order': 40, 'powers': [477, 63], 'representative': 439, 'size': 2}
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id: 122396742
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 901, 'group_counter': 5495, 'group_order': 1600, 'label': '40R17', 'order': 40, 'powers': [476, 61], 'representative': 435, 'size': 2}
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id: 122396743
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 902, 'group_counter': 5495, 'group_order': 1600, 'label': '40R-17', 'order': 40, 'powers': [475, 62], 'representative': 1343, 'size': 2}
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id: 122396744
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 903, 'group_counter': 5495, 'group_order': 1600, 'label': '40R19', 'order': 40, 'powers': [474, 63], 'representative': 791, 'size': 2}
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id: 122396745
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 904, 'group_counter': 5495, 'group_order': 1600, 'label': '40R-19', 'order': 40, 'powers': [473, 64], 'representative': 187, 'size': 2}
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id: 122396746
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 905, 'group_counter': 5495, 'group_order': 1600, 'label': '40S1', 'order': 40, 'powers': [513, 53], 'representative': 402, 'size': 2}
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id: 122396747
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 906, 'group_counter': 5495, 'group_order': 1600, 'label': '40S-1', 'order': 40, 'powers': [514, 54], 'representative': 1374, 'size': 2}
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id: 122396748
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 907, 'group_counter': 5495, 'group_order': 1600, 'label': '40S3', 'order': 40, 'powers': [515, 55], 'representative': 246, 'size': 2}
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id: 122396749
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 908, 'group_counter': 5495, 'group_order': 1600, 'label': '40S-3', 'order': 40, 'powers': [516, 56], 'representative': 730, 'size': 2}
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id: 122396750
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 909, 'group_counter': 5495, 'group_order': 1600, 'label': '40S7', 'order': 40, 'powers': [517, 54], 'representative': 734, 'size': 2}
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id: 122396752
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 910, 'group_counter': 5495, 'group_order': 1600, 'label': '40S-7', 'order': 40, 'powers': [518, 53], 'representative': 242, 'size': 2}
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id: 122396753
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 911, 'group_counter': 5495, 'group_order': 1600, 'label': '40S9', 'order': 40, 'powers': [519, 53], 'representative': 1362, 'size': 2}
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id: 122396754
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 912, 'group_counter': 5495, 'group_order': 1600, 'label': '40S-9', 'order': 40, 'powers': [520, 54], 'representative': 414, 'size': 2}
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id: 122396755
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 913, 'group_counter': 5495, 'group_order': 1600, 'label': '40S11', 'order': 40, 'powers': [520, 55], 'representative': 406, 'size': 2}
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id: 122396756
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 914, 'group_counter': 5495, 'group_order': 1600, 'label': '40S-11', 'order': 40, 'powers': [519, 56], 'representative': 1370, 'size': 2}
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id: 122396757
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 915, 'group_counter': 5495, 'group_order': 1600, 'label': '40S13', 'order': 40, 'powers': [518, 56], 'representative': 250, 'size': 2}
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id: 122396758
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 916, 'group_counter': 5495, 'group_order': 1600, 'label': '40S-13', 'order': 40, 'powers': [517, 55], 'representative': 726, 'size': 2}
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id: 122396759
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 917, 'group_counter': 5495, 'group_order': 1600, 'label': '40S17', 'order': 40, 'powers': [516, 53], 'representative': 722, 'size': 2}
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id: 122396760
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 918, 'group_counter': 5495, 'group_order': 1600, 'label': '40S-17', 'order': 40, 'powers': [515, 54], 'representative': 254, 'size': 2}
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id: 122396761
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 919, 'group_counter': 5495, 'group_order': 1600, 'label': '40S19', 'order': 40, 'powers': [514, 55], 'representative': 1366, 'size': 2}
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id: 122396763
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 920, 'group_counter': 5495, 'group_order': 1600, 'label': '40S-19', 'order': 40, 'powers': [513, 56], 'representative': 410, 'size': 2}
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id: 122396764
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 921, 'group_counter': 5495, 'group_order': 1600, 'label': '40T1', 'order': 40, 'powers': [481, 57], 'representative': 675, 'size': 2}
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id: 122396765
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 922, 'group_counter': 5495, 'group_order': 1600, 'label': '40T-1', 'order': 40, 'powers': [482, 58], 'representative': 303, 'size': 2}
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id: 122396766
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 923, 'group_counter': 5495, 'group_order': 1600, 'label': '40T3', 'order': 40, 'powers': [483, 59], 'representative': 423, 'size': 2}
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id: 122396767
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 924, 'group_counter': 5495, 'group_order': 1600, 'label': '40T-3', 'order': 40, 'powers': [484, 60], 'representative': 1355, 'size': 2}
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id: 122396768
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 925, 'group_counter': 5495, 'group_order': 1600, 'label': '40T7', 'order': 40, 'powers': [485, 58], 'representative': 1359, 'size': 2}
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id: 122396769
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 926, 'group_counter': 5495, 'group_order': 1600, 'label': '40T-7', 'order': 40, 'powers': [486, 57], 'representative': 419, 'size': 2}
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id: 122396770
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 927, 'group_counter': 5495, 'group_order': 1600, 'label': '40T9', 'order': 40, 'powers': [487, 57], 'representative': 291, 'size': 2}
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id: 122396771
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 928, 'group_counter': 5495, 'group_order': 1600, 'label': '40T-9', 'order': 40, 'powers': [488, 58], 'representative': 687, 'size': 2}
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id: 122396772
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 929, 'group_counter': 5495, 'group_order': 1600, 'label': '40T11', 'order': 40, 'powers': [488, 59], 'representative': 679, 'size': 2}
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id: 122396774
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 930, 'group_counter': 5495, 'group_order': 1600, 'label': '40T-11', 'order': 40, 'powers': [487, 60], 'representative': 299, 'size': 2}
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id: 122396775
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 931, 'group_counter': 5495, 'group_order': 1600, 'label': '40T13', 'order': 40, 'powers': [486, 60], 'representative': 427, 'size': 2}
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id: 122396776
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 932, 'group_counter': 5495, 'group_order': 1600, 'label': '40T-13', 'order': 40, 'powers': [485, 59], 'representative': 1351, 'size': 2}
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id: 122396777
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 933, 'group_counter': 5495, 'group_order': 1600, 'label': '40T17', 'order': 40, 'powers': [484, 57], 'representative': 1347, 'size': 2}
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id: 122396778
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 934, 'group_counter': 5495, 'group_order': 1600, 'label': '40T-17', 'order': 40, 'powers': [483, 58], 'representative': 431, 'size': 2}
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id: 122396779
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 935, 'group_counter': 5495, 'group_order': 1600, 'label': '40T19', 'order': 40, 'powers': [482, 59], 'representative': 295, 'size': 2}
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id: 122396780
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 936, 'group_counter': 5495, 'group_order': 1600, 'label': '40T-19', 'order': 40, 'powers': [481, 60], 'representative': 683, 'size': 2}
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id: 122396781
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 937, 'group_counter': 5495, 'group_order': 1600, 'label': '40U1', 'order': 40, 'powers': [489, 57], 'representative': 227, 'size': 2}
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id: 122396782
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 938, 'group_counter': 5495, 'group_order': 1600, 'label': '40U-1', 'order': 40, 'powers': [490, 58], 'representative': 751, 'size': 2}
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id: 122396783
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 939, 'group_counter': 5495, 'group_order': 1600, 'label': '40U3', 'order': 40, 'powers': [491, 59], 'representative': 1319, 'size': 2}
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id: 122396785
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 940, 'group_counter': 5495, 'group_order': 1600, 'label': '40U-3', 'order': 40, 'powers': [492, 60], 'representative': 459, 'size': 2}
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id: 122396786
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 941, 'group_counter': 5495, 'group_order': 1600, 'label': '40U7', 'order': 40, 'powers': [493, 58], 'representative': 463, 'size': 2}
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id: 122396787
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 942, 'group_counter': 5495, 'group_order': 1600, 'label': '40U-7', 'order': 40, 'powers': [494, 57], 'representative': 1315, 'size': 2}
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id: 122396788
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 943, 'group_counter': 5495, 'group_order': 1600, 'label': '40U9', 'order': 40, 'powers': [495, 57], 'representative': 739, 'size': 2}
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id: 122396789
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 944, 'group_counter': 5495, 'group_order': 1600, 'label': '40U-9', 'order': 40, 'powers': [496, 58], 'representative': 239, 'size': 2}
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id: 122396790
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 945, 'group_counter': 5495, 'group_order': 1600, 'label': '40U11', 'order': 40, 'powers': [496, 59], 'representative': 231, 'size': 2}
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id: 122396791
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 946, 'group_counter': 5495, 'group_order': 1600, 'label': '40U-11', 'order': 40, 'powers': [495, 60], 'representative': 747, 'size': 2}
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id: 122396792
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 947, 'group_counter': 5495, 'group_order': 1600, 'label': '40U13', 'order': 40, 'powers': [494, 60], 'representative': 1323, 'size': 2}
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id: 122396793
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 948, 'group_counter': 5495, 'group_order': 1600, 'label': '40U-13', 'order': 40, 'powers': [493, 59], 'representative': 455, 'size': 2}
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id: 122396794
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 949, 'group_counter': 5495, 'group_order': 1600, 'label': '40U17', 'order': 40, 'powers': [492, 57], 'representative': 451, 'size': 2}
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id: 122396796
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 950, 'group_counter': 5495, 'group_order': 1600, 'label': '40U-17', 'order': 40, 'powers': [491, 58], 'representative': 1327, 'size': 2}
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id: 122396797
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 951, 'group_counter': 5495, 'group_order': 1600, 'label': '40U19', 'order': 40, 'powers': [490, 59], 'representative': 743, 'size': 2}
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id: 122396798
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 952, 'group_counter': 5495, 'group_order': 1600, 'label': '40U-19', 'order': 40, 'powers': [489, 60], 'representative': 235, 'size': 2}
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id: 122396799
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 953, 'group_counter': 5495, 'group_order': 1600, 'label': '40V1', 'order': 40, 'powers': [497, 61], 'representative': 659, 'size': 2}
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id: 122396800
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 954, 'group_counter': 5495, 'group_order': 1600, 'label': '40V-1', 'order': 40, 'powers': [498, 62], 'representative': 319, 'size': 2}
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id: 122396801
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 955, 'group_counter': 5495, 'group_order': 1600, 'label': '40V3', 'order': 40, 'powers': [499, 63], 'representative': 375, 'size': 2}
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id: 122396802
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 956, 'group_counter': 5495, 'group_order': 1600, 'label': '40V-3', 'order': 40, 'powers': [500, 64], 'representative': 1403, 'size': 2}
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id: 122396803
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 957, 'group_counter': 5495, 'group_order': 1600, 'label': '40V7', 'order': 40, 'powers': [501, 62], 'representative': 1407, 'size': 2}
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id: 122396804
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 958, 'group_counter': 5495, 'group_order': 1600, 'label': '40V-7', 'order': 40, 'powers': [502, 61], 'representative': 371, 'size': 2}
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id: 122396805
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 959, 'group_counter': 5495, 'group_order': 1600, 'label': '40V9', 'order': 40, 'powers': [503, 61], 'representative': 307, 'size': 2}
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id: 122396807
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 960, 'group_counter': 5495, 'group_order': 1600, 'label': '40V-9', 'order': 40, 'powers': [504, 62], 'representative': 671, 'size': 2}
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id: 122396808
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 961, 'group_counter': 5495, 'group_order': 1600, 'label': '40V11', 'order': 40, 'powers': [504, 63], 'representative': 663, 'size': 2}
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id: 122396809
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 962, 'group_counter': 5495, 'group_order': 1600, 'label': '40V-11', 'order': 40, 'powers': [503, 64], 'representative': 315, 'size': 2}
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id: 122396810
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 963, 'group_counter': 5495, 'group_order': 1600, 'label': '40V13', 'order': 40, 'powers': [502, 64], 'representative': 379, 'size': 2}
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id: 122396811
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 964, 'group_counter': 5495, 'group_order': 1600, 'label': '40V-13', 'order': 40, 'powers': [501, 63], 'representative': 1399, 'size': 2}
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id: 122396812
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 965, 'group_counter': 5495, 'group_order': 1600, 'label': '40V17', 'order': 40, 'powers': [500, 61], 'representative': 1395, 'size': 2}
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id: 122396813
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 966, 'group_counter': 5495, 'group_order': 1600, 'label': '40V-17', 'order': 40, 'powers': [499, 62], 'representative': 383, 'size': 2}
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id: 122396814
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 967, 'group_counter': 5495, 'group_order': 1600, 'label': '40V19', 'order': 40, 'powers': [498, 63], 'representative': 311, 'size': 2}
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id: 122396815
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 968, 'group_counter': 5495, 'group_order': 1600, 'label': '40V-19', 'order': 40, 'powers': [497, 64], 'representative': 667, 'size': 2}
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id: 122396816
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 969, 'group_counter': 5495, 'group_order': 1600, 'label': '40W1', 'order': 40, 'powers': [505, 61], 'representative': 1299, 'size': 2}
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id: 122396818
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 970, 'group_counter': 5495, 'group_order': 1600, 'label': '40W-1', 'order': 40, 'powers': [506, 62], 'representative': 479, 'size': 2}
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id: 122396819
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 971, 'group_counter': 5495, 'group_order': 1600, 'label': '40W3', 'order': 40, 'powers': [507, 63], 'representative': 695, 'size': 2}
-
id: 122396820
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 972, 'group_counter': 5495, 'group_order': 1600, 'label': '40W-3', 'order': 40, 'powers': [508, 64], 'representative': 283, 'size': 2}
-
id: 122396821
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 973, 'group_counter': 5495, 'group_order': 1600, 'label': '40W7', 'order': 40, 'powers': [509, 62], 'representative': 287, 'size': 2}
-
id: 122396822
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 974, 'group_counter': 5495, 'group_order': 1600, 'label': '40W-7', 'order': 40, 'powers': [510, 61], 'representative': 691, 'size': 2}
-
id: 122396823
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 975, 'group_counter': 5495, 'group_order': 1600, 'label': '40W9', 'order': 40, 'powers': [511, 61], 'representative': 467, 'size': 2}
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id: 122396824
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 976, 'group_counter': 5495, 'group_order': 1600, 'label': '40W-9', 'order': 40, 'powers': [512, 62], 'representative': 1311, 'size': 2}
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id: 122396825
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 977, 'group_counter': 5495, 'group_order': 1600, 'label': '40W11', 'order': 40, 'powers': [512, 63], 'representative': 1303, 'size': 2}
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id: 122396826
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 978, 'group_counter': 5495, 'group_order': 1600, 'label': '40W-11', 'order': 40, 'powers': [511, 64], 'representative': 475, 'size': 2}
-
id: 122396827
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 979, 'group_counter': 5495, 'group_order': 1600, 'label': '40W13', 'order': 40, 'powers': [510, 64], 'representative': 699, 'size': 2}
-
id: 122396829
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 980, 'group_counter': 5495, 'group_order': 1600, 'label': '40W-13', 'order': 40, 'powers': [509, 63], 'representative': 279, 'size': 2}
-
id: 122396830
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 981, 'group_counter': 5495, 'group_order': 1600, 'label': '40W17', 'order': 40, 'powers': [508, 61], 'representative': 275, 'size': 2}
-
id: 122396831
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 982, 'group_counter': 5495, 'group_order': 1600, 'label': '40W-17', 'order': 40, 'powers': [507, 62], 'representative': 703, 'size': 2}
-
id: 122396832
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 983, 'group_counter': 5495, 'group_order': 1600, 'label': '40W19', 'order': 40, 'powers': [506, 63], 'representative': 471, 'size': 2}
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id: 122396833
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 984, 'group_counter': 5495, 'group_order': 1600, 'label': '40W-19', 'order': 40, 'powers': [505, 64], 'representative': 1307, 'size': 2}
-
id: 122396834
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 985, 'group_counter': 5495, 'group_order': 1600, 'label': '40X1', 'order': 40, 'powers': [513, 61], 'representative': 403, 'size': 2}
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id: 122396835
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 986, 'group_counter': 5495, 'group_order': 1600, 'label': '40X-1', 'order': 40, 'powers': [514, 62], 'representative': 1375, 'size': 2}
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id: 122396836
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 987, 'group_counter': 5495, 'group_order': 1600, 'label': '40X3', 'order': 40, 'powers': [515, 63], 'representative': 247, 'size': 2}
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id: 122396837
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 988, 'group_counter': 5495, 'group_order': 1600, 'label': '40X-3', 'order': 40, 'powers': [516, 64], 'representative': 731, 'size': 2}
-
id: 122396838
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 989, 'group_counter': 5495, 'group_order': 1600, 'label': '40X7', 'order': 40, 'powers': [517, 62], 'representative': 735, 'size': 2}
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id: 122396840
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 990, 'group_counter': 5495, 'group_order': 1600, 'label': '40X-7', 'order': 40, 'powers': [518, 61], 'representative': 243, 'size': 2}
-
id: 122396841
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 991, 'group_counter': 5495, 'group_order': 1600, 'label': '40X9', 'order': 40, 'powers': [519, 61], 'representative': 1363, 'size': 2}
-
id: 122396842
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 992, 'group_counter': 5495, 'group_order': 1600, 'label': '40X-9', 'order': 40, 'powers': [520, 62], 'representative': 415, 'size': 2}
-
id: 122396843
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 993, 'group_counter': 5495, 'group_order': 1600, 'label': '40X11', 'order': 40, 'powers': [520, 63], 'representative': 407, 'size': 2}
-
id: 122396844
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 994, 'group_counter': 5495, 'group_order': 1600, 'label': '40X-11', 'order': 40, 'powers': [519, 64], 'representative': 1371, 'size': 2}
-
id: 122396845
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 995, 'group_counter': 5495, 'group_order': 1600, 'label': '40X13', 'order': 40, 'powers': [518, 64], 'representative': 251, 'size': 2}
-
id: 122396846
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 996, 'group_counter': 5495, 'group_order': 1600, 'label': '40X-13', 'order': 40, 'powers': [517, 63], 'representative': 727, 'size': 2}
-
id: 122396847
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 997, 'group_counter': 5495, 'group_order': 1600, 'label': '40X17', 'order': 40, 'powers': [516, 61], 'representative': 723, 'size': 2}
-
id: 122396848
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 998, 'group_counter': 5495, 'group_order': 1600, 'label': '40X-17', 'order': 40, 'powers': [515, 62], 'representative': 255, 'size': 2}
-
id: 122396849
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 999, 'group_counter': 5495, 'group_order': 1600, 'label': '40X19', 'order': 40, 'powers': [514, 63], 'representative': 1367, 'size': 2}
-
id: 122395853
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 1000, 'group_counter': 5495, 'group_order': 1600, 'label': '40X-19', 'order': 40, 'powers': [513, 64], 'representative': 411, 'size': 2}
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gps_qchar • Show schema
Hide schema
-
id: 7109823
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1600.5495', 'group_order': 1600, 'image': None, 'label': '1600.5495.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 7109889
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id: 7109897
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id: 7109899
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id: 7109901
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id: 7109902
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id: 7109903
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id: 7109904
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id: 7109905
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id: 7109906
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id: 7109907
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id: 7109908
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id: 7109909
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id: 7109910
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id: 7109912
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id: 7109913
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id: 7109914
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id: 7109915
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id: 7109916
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id: 7109917
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id: 7109918
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id: 7109921
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id: 7109939
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id: 7109941
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id: 7109942
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id: 7109945
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id: 7109946
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id: 7109948
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id: 7109949
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id: 7109951
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id: 7109952
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id: 7109954
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id: 7109956
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id: 7109958
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id: 7109959
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id: 7109854
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id: 7109855
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id: 7109965
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id: 7109968
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id: 7109969
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id: 7109972
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id: 7109975
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id: 7109838
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id: 7109872
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id: 7109873
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id: 7109874
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id: 7109875
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id: 7109876
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id: 7109877
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id: 7109878
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id: 7109883
{'cdim': 2, 'counter': 153, 'faithful': False, 'group': '1600.5495', 'group_order': 1600, 'image': None, 'label': '1600.5495.2ao', 'multiplicity': 8, 'nt': [40, 15], 'qdim': 16, 'qvalues': [16, 16, 16, -16, 16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 16, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 16, -4, -4, -4, -4, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, -4, -4, -16, -4, 4, -4, 4, -4, -4, 4, -4, -16, 4, -4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -16, -4, -4, 4, 4, 16, -4, 4, 4, 16, -4, 4, 4, -4, 16, -4, -4, 4, 16, 16, -4, -16, -4, 4, 4, -4, -4, 16, -4, -4, 4, 4, 4, -16, 4, 4, 4, -4, 16, 4, 4, -4, 4, 4, -4, 16, 4, -4, 4, -4, 4, 4, 4, -4, -4, 4, -4, -16, -4, -4, 4, 4, -16, 4, 4, -4, -4, -16, 4, -4, -4, -16, -16, 4, -16, -4, -16, 4, 4, 4, -16, -4, -4, -4, -4, -4, 4, 4, -4, -4, 4, 4, 16, -4, 4, 4, 16, 4, 4, -4, 4, -4, -16, 4, -4, 4, -4, 4, 4, -4, -4, 4, -4, -4, 4, 4, -16, -16, 4, 4, 4, 16, -4, 4, 4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 16, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 7109884
{'cdim': 2, 'counter': 154, 'faithful': False, 'group': '1600.5495', 'group_order': 1600, 'image': None, 'label': '1600.5495.2ap', 'multiplicity': 8, 'nt': [40, 15], 'qdim': 16, 'qvalues': [16, 16, 16, -16, 16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -4, -4, 16, -4, -4, 16, -4, -4, -4, -4, 16, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 16, -4, -4, -4, 4, -4, 4, 16, 4, -4, -4, 4, -4, 4, 4, -4, 4, -16, 4, 4, -16, 4, -16, 4, 16, -4, 4, -4, -4, 4, -16, -4, -4, -16, -16, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, -4, -4, 4, -4, 4, 4, -4, 16, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, -4, 4, 4, 16, -4, 4, -4, 4, -4, 4, 4, 4, -4, -4, 4, 16, 4, 16, -4, 4, 4, 4, 4, -16, -4, -4, 4, -16, -4, 16, 4, 4, 4, 4, 16, 4, 4, 4, -16, 4, -4, -4, -4, -4, -4, 4, -16, -4, -4, 4, 4, -4, 16, -16, 4, -4, 4, 4, -4, -16, -4, 4, 4, -4, 4, 16, 4, 4, -4, -4, 4, -4, 16, 4, 4, 4, 4, 4, -16, 4, -4, -4, 4, 4, -16, -4, 4, 4, -16, 4, -16, 4, 4, 4, 4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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group 1600.5495 does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 78017338
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': True, 'core_order': 1600, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '1600.5495.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1600.5495', 'subgroup_hash': 5495, 'subgroup_order': 1600, 'subgroup_tex': 'C_{10}^2.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 78017376
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 800, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '800.1185', 'subgroup_hash': 1185, 'subgroup_order': 800, 'subgroup_tex': 'C_2^2\\times C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017387
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 800, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '800.948', 'subgroup_hash': 948, 'subgroup_order': 800, 'subgroup_tex': 'C_2\\times C_{10}\\times C_{40}', 'supersolvable': True, 'sylow': 0}
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id: 78017398
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 400, 'characteristic': False, 'core_order': 800, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1600.5495.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '800.367', 'subgroup_hash': 367, 'subgroup_order': 800, 'subgroup_tex': 'C_{10}^2:C_8', 'supersolvable': True, 'sylow': 0}
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id: 78017409
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 400, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '400.221', 'subgroup_hash': 221, 'subgroup_order': 400, 'subgroup_tex': 'C_2^2\\times C_{10}^2', 'supersolvable': True, 'sylow': 0}
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id: 78017420
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 400, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '400.201', 'subgroup_hash': 201, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017431
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 400, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '400.201', 'subgroup_hash': 201, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017442
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 400, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '400.201', 'subgroup_hash': 201, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017453
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 400, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '400.201', 'subgroup_hash': 201, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017339
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 400, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '400.111', 'subgroup_hash': 111, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 78017350
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 200, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, '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': '400.201', 'subgroup_hash': 201, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017361
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 200, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, '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': '400.111', 'subgroup_hash': 111, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 78017369
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 400, 'characteristic': False, 'core_order': 320, 'counter': 13, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1600.5495.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '320.907', 'subgroup_hash': 907, 'subgroup_order': 320, 'subgroup_tex': 'C_2^3:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 78017370
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 200, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.52', 'subgroup_hash': 52, 'subgroup_order': 200, 'subgroup_tex': 'C_2\\times C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017371
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 200, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.52', 'subgroup_hash': 52, 'subgroup_order': 200, 'subgroup_tex': 'C_2\\times C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017372
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 200, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017373
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 200, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017374
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 200, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017375
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 200, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '200.52', 'subgroup_hash': 52, 'subgroup_order': 200, 'subgroup_tex': 'C_2\\times C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017377
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 200, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017378
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 100, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, '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': '200.52', 'subgroup_hash': 52, 'subgroup_order': 200, 'subgroup_tex': 'C_2\\times C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017379
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 100, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, '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': '200.52', 'subgroup_hash': 52, 'subgroup_order': 200, 'subgroup_tex': 'C_2\\times C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017380
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 100, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, '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': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017381
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 100, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, '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': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017382
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 100, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, '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': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017383
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 100, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.8.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, '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': '200.17', 'subgroup_hash': 17, 'subgroup_order': 200, 'subgroup_tex': 'C_5\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 78017384
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 160, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.228', 'subgroup_hash': 228, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017385
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 160, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.190', 'subgroup_hash': 190, 'subgroup_order': 160, 'subgroup_tex': 'C_2^2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 78017386
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 400, 'characteristic': False, 'core_order': 160, 'counter': 29, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1600.5495.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.48', 'subgroup_hash': 48, 'subgroup_order': 160, 'subgroup_tex': 'C_2^2:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 78017388
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 100, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017389
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 100, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017390
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 100, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017391
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 100, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017392
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 100, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017393
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 100, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017394
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 100, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017395
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 50, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, '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': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017396
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 50, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, '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': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017397
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 50, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, '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': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017399
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 50, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.16.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, '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': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017400
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 80, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.52', 'subgroup_hash': 52, 'subgroup_order': 80, 'subgroup_tex': 'C_2^3\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 78017401
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 80, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017402
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 80, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017403
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 80, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017404
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 80, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017405
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 80, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 78017406
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 40, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.20.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, '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': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017407
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 40, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.20.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, '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': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
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id: 78017408
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 400, 'characteristic': True, 'core_order': 64, 'counter': 49, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '1600.5495.25.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '25.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '25.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 25, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.87', 'subgroup_hash': 87, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:C_8', 'supersolvable': True, 'sylow': 2}
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id: 78017410
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 50, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017411
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 50, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017412
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 50, 'counter': 52, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1600.5495.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017413
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 50, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 22, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017414
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 25, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, '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': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017415
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 40, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017416
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 40, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017417
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 40, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017418
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 40, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017419
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 40, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.40.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017421
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 40, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.40.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017422
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 40, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.40.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017423
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.40.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, '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': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017424
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.40.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, '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': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017425
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.40.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017426
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.40.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 78017427
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.40.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017428
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1600.5495.40.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, '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': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
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id: 78017429
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 32, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.50.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 78017430
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 32, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.50.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 78017432
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 400, 'characteristic': False, 'core_order': 32, 'counter': 70, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1600.5495.50.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.5', 'subgroup_hash': 5, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:C_8', 'supersolvable': True, 'sylow': 0}
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id: 78017433
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 25, 'counter': 71, 'cyclic': False, 'direct': True, 'hall': 5, 'label': '1600.5495.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.87', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 87, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 5}
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id: 78017434
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 20, 'counter': 72, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017435
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 20, 'counter': 73, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017436
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.80.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017437
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 20, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.80.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017438
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 20, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.80.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017439
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 20, 'counter': 77, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.5495.80.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017440
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 20, 'counter': 78, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.5495.80.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017441
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 10, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.80.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, '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': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017443
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 10, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.80.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, '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': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017444
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 10, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.80.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, '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': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017445
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 10, 'counter': 82, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1600.5495.80.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, '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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 78017446
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 16, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.100.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 78017447
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 16, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.100.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 78017448
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 16, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.100.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 78017449
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 16, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.100.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 78017450
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 16, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.100.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 78017451
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 16, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.100.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 78017452
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 8, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.100.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '100.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, '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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 78017454
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 8, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.100.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '100.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 78017455
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 10, 'counter': 91, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.5495.160.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.190', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 190, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{40}', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017456
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 10, 'counter': 92, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.5495.160.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.191', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 191, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017457
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 10, 'counter': 93, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1600.5495.160.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017458
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 10, 'counter': 94, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.5495.160.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.176', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 176, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 78017459
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 5, 'counter': 95, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1600.5495.160.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, '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: 78017460
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 8, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.200.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.37', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 78017461
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 8, 'counter': 97, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.200.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.37', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 78017462
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 8, 'counter': 98, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.200.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.37', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 78017463
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 8, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.200.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.52', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 78017340
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 8, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.200.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.37', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 78017341
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 8, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.200.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.17', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 78017342
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 8, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.200.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 78017343
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 4, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.200.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 78017344
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 4, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.200.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 78017345
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 4, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.200.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 78017346
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 4, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.200.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 78017347
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 4, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.200.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 78017348
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 4, 'counter': 108, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1600.5495.200.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, '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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 78017349
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 5, 'counter': 109, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1600.5495.320.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '320.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '320.907', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 907, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_{40}', 'simple': True, 'solvable': True, 'special_labels': ['C7'], 'split': True, '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: 78017351
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 4, 'counter': 110, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.400.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.201', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 201, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 78017352
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 4, 'counter': 111, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.400.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.111', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 111, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 78017353
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 4, 'counter': 112, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.400.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.111', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 111, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 78017354
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 4, 'counter': 113, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.400.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.112', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 112, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 78017355
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 4, 'counter': 114, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.5495.400.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.109', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 109, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 78017356
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 4, 'counter': 115, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.5495.400.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.109', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 109, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 78017357
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 4, 'counter': 116, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.5495.400.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 78017358
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 2, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.400.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '400.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017359
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 2, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.400.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '400.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017360
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 2, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.5495.400.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '400.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 78017362
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 2, 'counter': 120, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1600.5495.400.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '400.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 78017363
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 2, 'counter': 121, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.5495.800.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '800.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '800.948', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 948, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}\\times C_{40}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
-
id: 78017364
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 2, 'counter': 122, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.5495.800.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '800.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '800.949', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 949, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_{10}^2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 78017365
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 2, 'counter': 123, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1600.5495.800.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '800.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '800.367', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 367, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_8', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 78017366
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 2, 'counter': 124, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.5495.800.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '800.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '800.934', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 934, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2.D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 78017367
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 1, 'counter': 125, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1600.5495.800.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, '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': 0}
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id: 78017368
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.5495', 'ambient_counter': 5495, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 1, 'counter': 126, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1600.5495.1600.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1600.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1600.5495', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5495, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2.\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'L2', 'D2', 'C8'], '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: 78017338
{'ambient': '1600.5495', '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': '4.b1', 'complements': ['1600.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1210, 1957, 7699, 6723], 'generators': [1, 320, 800, 80, 4, 8, 2, 32], 'label': '1600.5495.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '5.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '4.2', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 78017427
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '40.l1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.10', 'aut_weyl_index': 30720, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['8.l1', '20.e1', '20.g1'], 'contains': ['80.g1', '80.j1', '80.k1', '200.l1'], 'core': '80.g1', 'coset_action_label': None, 'count': 48, 'diagramx': [2937, -1, 6316, -1], 'generators': [81, 320, 8, 4], 'label': '1600.5495.40.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.l1', 'projective_image': '80.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017339
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '4.f1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '3840.x', 'aut_weyl_index': 128, 'centralizer': '2.b1', 'complements': ['400.i1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '2.c1'], 'contains': ['8.d1', '8.m1', '20.f1'], 'core': '4.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [1522, 1565, 8012, 7133], 'generators': [3, 8, 32, 320, 800, 4], 'label': '1600.5495.4.f1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1', 'normal_contained_in': ['2.b1', '2.c1'], 'normal_contains': ['8.d1', '20.f1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '8.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 78017340
{'ambient': '1600.5495', 'aut_centralizer_order': 61440, 'aut_label': '200.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 122880, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['40.e1', '100.c1', '100.d1', '100.e1'], 'contains': ['400.a1', '400.k1'], 'core': '200.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [4159, 4370, 6631, 6964], 'generators': [85, 800], 'label': '1600.5495.200.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '200.e1', 'normal_contained_in': ['40.e1', '100.c1', '100.d1', '100.e1'], 'normal_contains': ['400.a1'], 'normalizer': '1.a1', 'old_label': '200.e1', 'projective_image': '400.201', 'quotient_action_image': '2.1', 'quotient_action_kernel': '100.16', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '200.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 78017341
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '200.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.3', 'aut_weyl_index': 61440, 'centralizer': '2.a1', 'complements': ['8.m1'], 'conjugacy_class_count': 4, 'contained_in': ['40.f1', '100.a1'], 'contains': ['400.b1', '400.c1', '400.i1'], 'core': '200.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [8086, 7446, 3489, 3734], 'generators': [1, 80, 800], 'label': '1600.5495.200.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '200.f1', 'normal_contained_in': ['40.f1', '100.a1'], 'normal_contains': ['400.b1', '400.c1'], 'normalizer': '1.a1', 'old_label': '200.f1', 'projective_image': '400.111', 'quotient_action_image': '2.1', 'quotient_action_kernel': '100.8', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '200.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 78017342
{'ambient': '1600.5495', 'aut_centralizer_order': 30720, 'aut_label': '200.g1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 122880, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['40.g1', '100.b1', '100.g1', '100.h1'], 'contains': ['400.e1', '400.f1', '400.g1'], 'core': '200.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [1835, 1903, 7701, 7900], 'generators': [1, 4], 'label': '1600.5495.200.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '200.g1', 'normal_contained_in': ['40.g1', '100.b1'], 'normal_contains': ['400.e1', '400.f1', '400.g1'], 'normalizer': '1.a1', 'old_label': '200.g1', 'projective_image': '200.38', 'quotient_action_image': '1.1', 'quotient_action_kernel': '200.38', 'quotient_action_kernel_order': 200, 'quotient_fusion': None, 'short_label': '200.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017343
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '200.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.3', 'aut_weyl_index': 61440, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.h1', '100.a1'], 'contains': ['400.d1', '400.h1', '400.i1'], 'core': '400.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [7352, -1, 3312, -1], 'generators': [1, 808, 80], 'label': '1600.5495.200.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '200.h1', 'projective_image': '400.112', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017344
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '200.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.3', 'aut_weyl_index': 61440, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.i1', '100.a1', '100.g1'], 'contains': ['400.e1', '400.i1', '400.j1'], 'core': '400.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [5521, -1, 5075, -1], 'generators': [1, 8, 80], 'label': '1600.5495.200.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '200.i1', 'projective_image': '400.109', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017345
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '200.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.3', 'aut_weyl_index': 61440, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.j1', '100.c1', '100.g1'], 'contains': ['400.e1', '400.k1'], 'core': '400.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [4675, -1, 6044, -1], 'generators': [1, 84], 'label': '1600.5495.200.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '200.j1', 'projective_image': '400.109', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017346
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '200.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 122880, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.k1', '100.d1', '100.g1'], 'contains': ['400.f1', '400.j1', '400.k1'], 'core': '400.f1', 'coset_action_label': None, 'count': 8, 'diagramx': [3801, -1, 6338, -1], 'generators': [5, 80], 'label': '1600.5495.200.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '200.k1', 'projective_image': '400.109', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017347
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '200.l1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 122880, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.l1', '100.e1', '100.g1'], 'contains': ['400.g1', '400.j1', '400.k1'], 'core': '400.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [2761, -1, 7115, -1], 'generators': [81, 4], 'label': '1600.5495.200.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '200.l1', 'projective_image': '400.202', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017348
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '200.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 122880, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.m1', '100.f1', '100.h1'], 'contains': ['400.g1'], 'core': '400.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [854, -1, 9458, -1], 'generators': [3], 'label': '1600.5495.200.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '200.m1', 'projective_image': '400.202', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017349
{'ambient': '1600.5495', 'aut_centralizer_order': 20480, 'aut_label': '320.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 122880, 'centralizer': '1.a1', 'complements': ['5.a1'], 'conjugacy_class_count': 6, 'contained_in': ['64.a1', '160.a1', '160.b1', '160.c1', '160.d1', '160.e1'], 'contains': ['1600.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8988, 8435, 2761, 3160], 'generators': [320], 'label': '1600.5495.320.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '320.a1', 'normal_contained_in': ['64.a1', '160.a1', '160.b1', '160.c1', '160.d1'], 'normal_contains': ['1600.a1'], 'normalizer': '1.a1', 'old_label': '320.a1', 'projective_image': '320.907', 'quotient_action_image': '1.1', 'quotient_action_kernel': '320.907', 'quotient_action_kernel_order': 320, 'quotient_fusion': None, 'short_label': '320.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017350
{'ambient': '1600.5495', 'aut_centralizer_order': 8, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '7680.h', 'aut_weyl_index': 64, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.a1'], 'contains': ['8.g1', '8.i1', '8.j1', '8.k1', '8.l1', '20.g1'], 'core': '8.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [4497, -1, 4130, -1], 'generators': [1, 8, 80, 32, 4, 320], 'label': '1600.5495.4.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.g1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017351
{'ambient': '1600.5495', 'aut_centralizer_order': 491520, 'aut_label': '400.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 491520, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['80.a1', '200.a1', '200.b1', '200.c1', '200.d1', '200.e1'], 'contains': ['800.a1', '800.b1', '800.d1'], 'core': '400.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4927, 5139, 5429, 5919], 'generators': [8, 800], 'label': '1600.5495.400.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '400.a1', 'normal_contained_in': ['80.a1', '200.a1', '200.b1', '200.c1', '200.d1', '200.e1'], 'normal_contains': ['800.a1', '800.b1', '800.d1'], 'normalizer': '1.a1', 'old_label': '400.a1', 'projective_image': '400.201', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.201', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017352
{'ambient': '1600.5495', 'aut_centralizer_order': 122880, 'aut_label': '400.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 245760, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['80.b1', '200.a1', '200.f1'], 'contains': ['800.a1', '800.c1'], 'core': '400.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8711, 7442, 3666, 3886], 'generators': [1, 800], 'label': '1600.5495.400.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '400.b1', 'normal_contained_in': ['80.b1', '200.a1', '200.f1'], 'normal_contains': ['800.a1', '800.c1'], 'normalizer': '1.a1', 'old_label': '400.b1', 'projective_image': '400.111', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.111', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017353
{'ambient': '1600.5495', 'aut_centralizer_order': 61440, 'aut_label': '400.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 245760, 'centralizer': '2.a1', 'complements': ['4.h1'], 'conjugacy_class_count': 4, 'contained_in': ['80.c1', '200.b1', '200.f1'], 'contains': ['800.a1', '800.e1'], 'core': '400.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [8109, 7763, 3843, 4167], 'generators': [81, 800], 'label': '1600.5495.400.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '400.c1', 'normal_contained_in': ['80.c1', '200.b1', '200.f1'], 'normal_contains': ['800.a1'], 'normalizer': '1.a1', 'old_label': '400.c1', 'projective_image': '800.948', 'quotient_action_image': '2.1', 'quotient_action_kernel': '200.37', 'quotient_action_kernel_order': 200, 'quotient_fusion': None, 'short_label': '400.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 78017354
{'ambient': '1600.5495', 'aut_centralizer_order': 122880, 'aut_label': '400.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 245760, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['80.d1', '200.a1', '200.h1'], 'contains': ['800.b1', '800.c1'], 'core': '400.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [7458, 6971, 3135, 3603], 'generators': [1, 808], 'label': '1600.5495.400.d1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '400.d1', 'normal_contained_in': ['80.d1', '200.a1'], 'normal_contains': ['800.b1', '800.c1'], 'normalizer': '1.a1', 'old_label': '400.d1', 'projective_image': '400.112', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.112', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017355
{'ambient': '1600.5495', 'aut_centralizer_order': 122880, 'aut_label': '400.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 245760, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '200.a1', '200.g1', '200.i1', '200.j1'], 'contains': ['800.c1', '800.d1'], 'core': '400.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [5579, 5461, 5075, 5636], 'generators': [1, 8], 'label': '1600.5495.400.e1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '400.e1', 'normal_contained_in': ['80.e1', '200.a1', '200.g1'], 'normal_contains': ['800.c1', '800.d1'], 'normalizer': '1.a1', 'old_label': '400.e1', 'projective_image': '400.109', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.109', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017356
{'ambient': '1600.5495', 'aut_centralizer_order': 122880, 'aut_label': '400.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 245760, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['80.f1', '200.c1', '200.g1', '200.k1'], 'contains': ['800.d1'], 'core': '400.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [3413, 3221, 6338, 6634], 'generators': [5], 'label': '1600.5495.400.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '400.f1', 'normal_contained_in': ['80.f1', '200.c1', '200.g1'], 'normal_contains': ['800.d1'], 'normalizer': '1.a1', 'old_label': '400.f1', 'projective_image': '400.109', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.109', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017357
{'ambient': '1600.5495', 'aut_centralizer_order': 122880, 'aut_label': '400.g1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 245760, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['80.g1', '200.d1', '200.g1', '200.l1', '200.m1'], 'contains': ['800.d1'], 'core': '400.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [2017, 2103, 7408, 7239], 'generators': [4], 'label': '1600.5495.400.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '400.g1', 'normal_contained_in': ['80.g1', '200.d1', '200.g1'], 'normal_contains': ['800.d1'], 'normalizer': '1.a1', 'old_label': '400.g1', 'projective_image': '400.202', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.202', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017358
{'ambient': '1600.5495', 'aut_centralizer_order': 61440, 'aut_label': '400.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 245760, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.h1', '200.b1', '200.h1'], 'contains': ['800.b1', '800.e1'], 'core': '800.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [7241, -1, 3312, -1], 'generators': [81, 808], 'label': '1600.5495.400.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '200.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '400.h1', 'projective_image': '800.949', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017359
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '400.i1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '2.1', 'aut_weyl_index': 245760, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['80.i1', '200.f1', '200.h1', '200.i1'], 'contains': ['800.c1', '800.e1'], 'core': '800.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [7822, -1, 3489, -1], 'generators': [1, 80], 'label': '1600.5495.400.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '200.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '400.i1', 'projective_image': '800.367', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017360
{'ambient': '1600.5495', 'aut_centralizer_order': 61440, 'aut_label': '400.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 245760, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.j1', '200.b1', '200.i1', '200.k1', '200.l1'], 'contains': ['800.d1', '800.e1'], 'core': '800.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [5144, -1, 5252, -1], 'generators': [81, 8], 'label': '1600.5495.400.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '200.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '400.j1', 'projective_image': '800.934', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017361
{'ambient': '1600.5495', 'aut_centralizer_order': 8, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '7680.h', 'aut_weyl_index': 64, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.b1'], 'contains': ['8.g1', '8.m1', '20.h1'], 'core': '8.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [896, -1, 7602, -1], 'generators': [1, 8, 32, 320, 2, 4], 'label': '1600.5495.4.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.h1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017362
{'ambient': '1600.5495', 'aut_centralizer_order': 61440, 'aut_label': '400.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 245760, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.k1', '200.e1', '200.j1', '200.k1', '200.l1'], 'contains': ['800.d1'], 'core': '800.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [4165, -1, 6113, -1], 'generators': [85], 'label': '1600.5495.400.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '200.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '400.k1', 'projective_image': '800.934', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017363
{'ambient': '1600.5495', 'aut_centralizer_order': 491520, 'aut_label': '800.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 491520, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['160.a1', '400.a1', '400.b1', '400.c1'], 'contains': ['1600.a1'], 'core': '800.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8109, 7537, 3722, 4099], 'generators': [800], 'label': '1600.5495.800.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '800.a1', 'normal_contained_in': ['160.a1', '400.a1', '400.b1', '400.c1'], 'normal_contains': ['1600.a1'], 'normalizer': '1.a1', 'old_label': '800.a1', 'projective_image': '800.948', 'quotient_action_image': '1.1', 'quotient_action_kernel': '800.948', 'quotient_action_kernel_order': 800, 'quotient_fusion': None, 'short_label': '800.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017364
{'ambient': '1600.5495', 'aut_centralizer_order': 491520, 'aut_label': '800.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 491520, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['160.b1', '400.a1', '400.d1', '400.h1'], 'contains': ['1600.a1'], 'core': '800.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7241, 6971, 3256, 3851], 'generators': [808], 'label': '1600.5495.800.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '800.b1', 'normal_contained_in': ['160.b1', '400.a1', '400.d1'], 'normal_contains': ['1600.a1'], 'normalizer': '1.a1', 'old_label': '800.b1', 'projective_image': '800.949', 'quotient_action_image': '1.1', 'quotient_action_kernel': '800.949', 'quotient_action_kernel_order': 800, 'quotient_fusion': None, 'short_label': '800.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017365
{'ambient': '1600.5495', 'aut_centralizer_order': 122880, 'aut_label': '800.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 491520, 'centralizer': '1.a1', 'complements': ['2.c1'], 'conjugacy_class_count': 4, 'contained_in': ['160.c1', '400.b1', '400.d1', '400.e1', '400.i1'], 'contains': ['1600.a1'], 'core': '800.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [7898, 7254, 3411, 3603], 'generators': [1], 'label': '1600.5495.800.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '800.c1', 'normal_contained_in': ['160.c1', '400.b1', '400.d1', '400.e1'], 'normal_contains': ['1600.a1'], 'normalizer': '1.a1', 'old_label': '800.c1', 'projective_image': '800.367', 'quotient_action_image': '1.1', 'quotient_action_kernel': '800.367', 'quotient_action_kernel_order': 800, 'quotient_fusion': None, 'short_label': '800.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017366
{'ambient': '1600.5495', 'aut_centralizer_order': 491520, 'aut_label': '800.d1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 491520, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['160.d1', '400.a1', '400.e1', '400.f1', '400.g1', '400.j1', '400.k1'], 'contains': ['1600.a1'], 'core': '800.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5035, 5300, 5340, 5777], 'generators': [8], 'label': '1600.5495.800.d1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '800.d1', 'normal_contained_in': ['160.d1', '400.a1', '400.e1', '400.f1', '400.g1'], 'normal_contains': ['1600.a1'], 'normalizer': '1.a1', 'old_label': '800.d1', 'projective_image': '800.934', 'quotient_action_image': '1.1', 'quotient_action_kernel': '800.934', 'quotient_action_kernel_order': 800, 'quotient_fusion': None, 'short_label': '800.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017367
{'ambient': '1600.5495', 'aut_centralizer_order': 61440, 'aut_label': '800.e1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '1.1', 'aut_weyl_index': 491520, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.e1', '400.c1', '400.h1', '400.i1', '400.j1'], 'contains': ['1600.a1'], 'core': '1600.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [7708, -1, 3566, -1], 'generators': [81], 'label': '1600.5495.800.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '400.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '800.e1', 'projective_image': '1600.5495', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017368
{'ambient': '1600.5495', 'aut_centralizer_order': None, 'aut_label': '1600.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['320.a1', '800.a1', '800.b1', '800.c1', '800.d1', '800.e1'], 'contains': [], 'core': '1600.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7804, 7254, 3489, 3851], 'generators': [], 'label': '1600.5495.1600.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1600.a1', 'normal_contained_in': ['320.a1', '800.a1', '800.b1', '800.c1', '800.d1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1600.a1', 'projective_image': '1600.5495', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017369
{'ambient': '1600.5495', 'aut_centralizer_order': 20, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 120, 'centralizer': '4.b1', 'complements': ['320.a1'], 'conjugacy_class_count': 6, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.c1', '25.a1'], 'core': '5.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [260, 471, 8474, 7958], 'generators': [1, 800, 80, 320, 2, 8, 4], 'label': '1600.5495.5.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '10.b1', '10.c1', '25.a1'], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': '20.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 78017370
{'ambient': '1600.5495', 'aut_centralizer_order': 256, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1'], 'contains': ['16.a1', '16.b1', '16.d1', '16.e1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7300, 7184, 2043, 1271], 'generators': [1, 800, 32, 8, 320], 'label': '1600.5495.8.a1', 'mobius_quo': -40, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1'], 'normal_contains': ['16.a1', '16.b1', '16.d1', '16.e1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017371
{'ambient': '1600.5495', 'aut_centralizer_order': 128, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 256, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.d1', '4.e1'], 'contains': ['16.a1', '16.c1', '16.h1', '16.j1', '40.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6329, 6462, 2440, 1904], 'generators': [81, 800, 32, 8, 320], 'label': '1600.5495.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.d1', '4.e1'], 'normal_contains': ['16.a1', '16.c1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '16.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017372
{'ambient': '1600.5495', 'aut_centralizer_order': 256, 'aut_label': '8.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.d1'], 'contains': ['16.a1', '16.f1', '40.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3629, 4637, 4881, 3834], 'generators': [5, 32, 320, 800, 8], 'label': '1600.5495.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1', '4.d1'], 'normal_contains': ['16.a1', '16.f1', '40.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017373
{'ambient': '1600.5495', 'aut_centralizer_order': 256, 'aut_label': '8.d1', 'aut_quo_index': 21, 'aut_stab_index': 1, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.e1', '4.f1'], 'contains': ['16.a1', '16.g1', '40.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [2294, 2531, 6892, 5774], 'generators': [4, 32, 320, 800, 8], 'label': '1600.5495.8.d1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': ['4.b1', '4.e1', '4.f1'], 'normal_contains': ['16.a1', '16.g1', '40.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '8.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017374
{'ambient': '1600.5495', 'aut_centralizer_order': 128, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 256, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.d1', '4.e1'], 'contains': ['16.a1', '16.k1', '40.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [5233, 5578, 4061, 3180], 'generators': [85, 32, 320, 800, 8], 'label': '1600.5495.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.c1', '4.d1', '4.e1'], 'normal_contains': ['16.a1', '40.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '16.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017375
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '8.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '3840.g', 'aut_weyl_index': 128, 'centralizer': '2.a1', 'complements': ['200.m1'], 'conjugacy_class_count': 4, 'contained_in': ['4.a1'], 'contains': ['16.b1', '16.c1', '16.i1', '40.f1'], 'core': '8.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [8787, 8462, 1039, 638], 'generators': [1, 800, 32, 80, 320], 'label': '1600.5495.8.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.b1', '16.c1', '40.f1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '16.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017376
{'ambient': '1600.5495', 'aut_centralizer_order': 8, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1', '4.g1', '10.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3447, 3648, 4989, 4804], 'generators': [1, 320, 80, 800, 4, 8, 32], 'label': '1600.5495.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '4.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017377
{'ambient': '1600.5495', 'aut_centralizer_order': 64, 'aut_label': '8.g1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.b1', '4.g1', '4.h1'], 'contains': ['16.e1', '16.f1', '16.g1', '40.g1'], 'core': '8.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [3128, 3743, 5688, 4487], 'generators': [1, 32, 320, 4, 8], 'label': '1600.5495.8.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['16.e1', '16.f1', '16.g1', '40.g1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': '8.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017378
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '3840.g', 'aut_weyl_index': 128, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1'], 'contains': ['16.d1', '16.h1', '16.i1', '40.h1'], 'core': '16.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [7785, -1, 569, -1], 'generators': [1, 880, 32, 808, 320], 'label': '1600.5495.8.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.h1', 'projective_image': '16.6', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017379
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '3840.g', 'aut_weyl_index': 128, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.g1'], 'contains': ['16.e1', '16.i1', '16.j1', '40.i1'], 'core': '16.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [6814, -1, 1646, -1], 'generators': [1, 80, 32, 8, 320], 'label': '1600.5495.8.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.i1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017380
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '3840.g', 'aut_weyl_index': 128, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.g1'], 'contains': ['16.e1', '16.k1', '40.j1'], 'core': '16.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [5735, -1, 3241, -1], 'generators': [1, 32, 320, 84, 8], 'label': '1600.5495.8.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.j1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017381
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 256, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '4.g1'], 'contains': ['16.f1', '16.j1', '16.k1', '40.k1'], 'core': '16.f1', 'coset_action_label': None, 'count': 8, 'diagramx': [4632, -1, 3651, -1], 'generators': [5, 32, 320, 80, 8], 'label': '1600.5495.8.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.k1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017382
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 256, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '4.g1'], 'contains': ['16.g1', '16.j1', '16.k1', '40.l1'], 'core': '16.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [4130, -1, 4471, -1], 'generators': [81, 32, 320, 4, 8], 'label': '1600.5495.8.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.l1', 'projective_image': '16.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017383
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 256, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.f1', '4.h1'], 'contains': ['16.g1', '40.m1'], 'core': '16.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [1558, -1, 8407, -1], 'generators': [3, 320, 4, 32, 8], 'label': '1600.5495.8.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.m1', 'projective_image': '16.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017384
{'ambient': '1600.5495', 'aut_centralizer_order': 160, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '512.7532443', 'aut_weyl_index': 960, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.b1', '20.c1', '20.d1', '20.e1', '20.g1', '50.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2334, 2385, 6489, 6489], 'generators': [1, 8, 80, 800, 4, 320], 'label': '1600.5495.10.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1', '5.a1'], 'normal_contains': ['20.a1', '20.b1', '20.c1', '20.d1', '20.e1', '50.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '20.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017385
{'ambient': '1600.5495', 'aut_centralizer_order': 160, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '256.27015', 'aut_weyl_index': 1920, 'centralizer': '2.b1', 'complements': ['160.e1'], 'conjugacy_class_count': 12, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.b1', '20.f1', '20.h1', '50.b1'], 'core': '10.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [402, 471, 8822, 8512], 'generators': [1, 8, 800, 320, 2, 4], 'label': '1600.5495.10.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1', 'normal_contained_in': ['2.b1', '5.a1'], 'normal_contains': ['20.b1', '20.f1', '50.b1'], 'normalizer': '1.a1', 'old_label': '10.b1', 'projective_image': '20.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017386
{'ambient': '1600.5495', 'aut_centralizer_order': 80, 'aut_label': '10.c1', 'aut_quo_index': 1, 'aut_stab_index': 24, 'aut_weyl_group': '256.27015', 'aut_weyl_index': 1920, 'centralizer': '4.b1', 'complements': ['160.e1', '160.c1'], 'conjugacy_class_count': 24, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.e1', '20.f1', '50.c1'], 'core': '10.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [993, 1201, 8420, 7872], 'generators': [81, 8, 320, 4, 2, 800], 'label': '1600.5495.10.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.c1', 'normal_contained_in': ['2.c1', '5.a1'], 'normal_contains': ['20.e1', '20.f1', '50.c1'], 'normalizer': '1.a1', 'old_label': '10.c1', 'projective_image': '40.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 78017387
{'ambient': '1600.5495', 'aut_centralizer_order': 8, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '2.b1', 'complements': ['800.e1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.f1', '4.h1', '10.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [896, 1491, 7956, 7133], 'generators': [1, 4, 800, 32, 2, 8, 320], 'label': '1600.5495.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.f1', '10.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '4.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017388
{'ambient': '1600.5495', 'aut_centralizer_order': 1024, 'aut_label': '16.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1'], 'contains': ['32.a1', '32.b1', '32.d1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6716, 7469, 2541, 2293], 'generators': [8, 32, 320, 800], 'label': '1600.5495.16.a1', 'mobius_quo': 10, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1'], 'normal_contains': ['32.a1', '32.b1', '32.d1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '16.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017389
{'ambient': '1600.5495', 'aut_centralizer_order': 256, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.f1'], 'contains': ['32.a1', '32.c1', '80.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9349, 9039, 804, 531], 'generators': [1, 32, 320, 800], 'label': '1600.5495.16.b1', 'mobius_quo': 10, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.f1'], 'normal_contains': ['32.a1', '32.c1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017390
{'ambient': '1600.5495', 'aut_centralizer_order': 128, 'aut_label': '16.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 512, 'centralizer': '2.a1', 'complements': ['100.h1'], 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '8.f1'], 'contains': ['32.a1', '32.e1', '80.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [8647, 8611, 1039, 906], 'generators': [81, 32, 320, 800], 'label': '1600.5495.16.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.b1', '8.f1'], 'normal_contains': ['32.a1', '80.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '32.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017391
{'ambient': '1600.5495', 'aut_centralizer_order': 256, 'aut_label': '16.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.h1'], 'contains': ['32.b1', '32.c1', '80.d1'], 'core': '16.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [8072, 7905, 98, 157], 'generators': [801, 32, 320, 808], 'label': '1600.5495.16.d1', 'mobius_quo': 10, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['32.b1', '32.c1', '80.d1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '16.6', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.6', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017392
{'ambient': '1600.5495', 'aut_centralizer_order': 256, 'aut_label': '16.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.g1', '8.i1', '8.j1'], 'contains': ['32.c1', '32.d1', '80.e1'], 'core': '16.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [7278, 7042, 2071, 1918], 'generators': [1, 32, 320, 8], 'label': '1600.5495.16.e1', 'mobius_quo': 10, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.a1', '8.g1'], 'normal_contains': ['32.c1', '32.d1', '80.e1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': '16.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.3', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017393
{'ambient': '1600.5495', 'aut_centralizer_order': 256, 'aut_label': '16.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '8.g1', '8.k1'], 'contains': ['32.d1', '80.f1'], 'core': '16.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [4366, 4735, 4557, 4312], 'generators': [5, 320, 8, 32], 'label': '1600.5495.16.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': ['8.c1', '8.g1'], 'normal_contains': ['32.d1', '80.f1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': '16.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.3', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017394
{'ambient': '1600.5495', 'aut_centralizer_order': 256, 'aut_label': '16.g1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '8.g1', '8.l1', '8.m1'], 'contains': ['32.d1', '80.g1'], 'core': '16.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [3379, 3793, 5964, 4873], 'generators': [4, 320, 8, 32], 'label': '1600.5495.16.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.g1', 'normal_contained_in': ['8.d1', '8.g1'], 'normal_contains': ['32.d1', '80.g1'], 'normalizer': '1.a1', 'old_label': '16.g1', 'projective_image': '16.11', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.11', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017395
{'ambient': '1600.5495', 'aut_centralizer_order': 128, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 512, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.h1'], 'contains': ['32.b1', '32.e1', '80.h1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [7785, -1, 333, -1], 'generators': [881, 32, 320, 808], 'label': '1600.5495.16.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.h1', 'projective_image': '32.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017396
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 512, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.f1', '8.h1', '8.i1'], 'contains': ['32.c1', '32.e1', '80.i1'], 'core': '32.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [8943, -1, 569, -1], 'generators': [1, 32, 320, 80], 'label': '1600.5495.16.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.i1', 'projective_image': '32.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017397
{'ambient': '1600.5495', 'aut_centralizer_order': 128, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 512, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.i1', '8.k1', '8.l1'], 'contains': ['32.d1', '32.e1', '80.j1'], 'core': '32.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [6428, -1, 2306, -1], 'generators': [81, 32, 320, 8], 'label': '1600.5495.16.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.j1', 'projective_image': '32.22', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017398
{'ambient': '1600.5495', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '4.b1', 'complements': ['800.e1', '800.c1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.e1', '4.f1', '10.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [1522, 2420, 7445, 6318], 'generators': [81, 800, 32, 320, 2, 8, 4], 'label': '1600.5495.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.e1', '4.f1', '10.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '8.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 78017399
{'ambient': '1600.5495', 'aut_centralizer_order': 128, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 512, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '8.j1', '8.k1', '8.l1'], 'contains': ['32.d1', '80.k1'], 'core': '32.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [5199, -1, 4205, -1], 'generators': [85, 320, 8, 32], 'label': '1600.5495.16.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.k1', 'projective_image': '32.22', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017400
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 3840, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '10.a1'], 'contains': ['40.a1', '40.b1', '40.f1', '40.h1', '40.i1', '100.a1'], 'core': '20.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5977, 5795, 2837, 2537], 'generators': [1, 80, 800, 8, 320], 'label': '1600.5495.20.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1'], 'normal_contains': ['40.a1', '40.b1', '40.f1', '100.a1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '40.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017401
{'ambient': '1600.5495', 'aut_centralizer_order': 1280, 'aut_label': '20.b1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '64.260', 'aut_weyl_index': 7680, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.b1', '10.a1', '10.b1'], 'contains': ['40.a1', '40.c1', '40.d1', '40.g1', '100.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1885, 2162, 7693, 7683], 'generators': [1, 800, 320, 4, 8], 'label': '1600.5495.20.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.b1', 'normal_contained_in': ['4.b1', '10.a1', '10.b1'], 'normal_contains': ['40.a1', '40.c1', '40.d1', '40.g1', '100.b1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '20.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017402
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '20.c1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 3840, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.c1', '10.a1'], 'contains': ['40.a1', '40.e1', '40.j1', '100.c1'], 'core': '20.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [4914, 4924, 5284, 5131], 'generators': [1, 800, 320, 84, 8], 'label': '1600.5495.20.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.c1', 'normal_contained_in': ['4.c1', '10.a1'], 'normal_contains': ['40.a1', '40.e1', '100.c1'], 'normalizer': '1.a1', 'old_label': '20.c1', 'projective_image': '40.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017403
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '20.d1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '64.260', 'aut_weyl_index': 7680, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['4.d1', '10.a1'], 'contains': ['40.b1', '40.c1', '40.e1', '40.k1', '100.d1'], 'core': '20.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [3872, 3904, 6489, 6417], 'generators': [5, 800, 320, 80, 8], 'label': '1600.5495.20.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.d1', 'normal_contained_in': ['4.d1', '10.a1'], 'normal_contains': ['40.b1', '40.c1', '40.e1', '100.d1'], 'normalizer': '1.a1', 'old_label': '20.d1', 'projective_image': '40.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017404
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '20.e1', 'aut_quo_index': 3, 'aut_stab_index': 12, 'aut_weyl_group': '64.260', 'aut_weyl_index': 7680, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['4.e1', '10.a1', '10.c1'], 'contains': ['40.b1', '40.d1', '40.e1', '40.l1', '100.e1'], 'core': '20.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [2370, 2884, 7296, 7050], 'generators': [81, 800, 320, 4, 8], 'label': '1600.5495.20.e1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.e1', 'normal_contained_in': ['4.e1', '10.a1', '10.c1'], 'normal_contains': ['40.b1', '40.d1', '40.e1', '100.e1'], 'normalizer': '1.a1', 'old_label': '20.e1', 'projective_image': '40.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017405
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '20.f1', 'aut_quo_index': 3, 'aut_stab_index': 24, 'aut_weyl_group': '32.45', 'aut_weyl_index': 15360, 'centralizer': '2.b1', 'complements': ['80.i1'], 'conjugacy_class_count': 24, 'contained_in': ['4.f1', '10.b1', '10.c1'], 'contains': ['40.d1', '40.m1', '100.f1'], 'core': '20.f1', 'coset_action_label': None, 'count': 24, 'diagramx': [1126, 1181, 9111, 8822], 'generators': [3, 320, 4, 800, 8], 'label': '1600.5495.20.f1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.f1', 'normal_contained_in': ['4.f1', '10.b1', '10.c1'], 'normal_contains': ['40.d1', '100.f1'], 'normalizer': '1.a1', 'old_label': '20.f1', 'projective_image': '40.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017406
{'ambient': '1600.5495', 'aut_centralizer_order': 160, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.196', 'aut_weyl_index': 7680, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.g1', '10.a1'], 'contains': ['40.g1', '40.i1', '40.j1', '40.k1', '40.l1', '100.g1'], 'core': '40.g1', 'coset_action_label': None, 'count': 48, 'diagramx': [3057, -1, 6091, -1], 'generators': [1, 80, 320, 4, 8], 'label': '1600.5495.20.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '20.g1', 'projective_image': '40.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017407
{'ambient': '1600.5495', 'aut_centralizer_order': 160, 'aut_label': '20.h1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.196', 'aut_weyl_index': 7680, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.h1', '10.b1'], 'contains': ['40.g1', '40.m1', '100.h1'], 'core': '40.g1', 'coset_action_label': None, 'count': 48, 'diagramx': [592, -1, 8759, -1], 'generators': [1, 320, 4, 2, 8], 'label': '1600.5495.20.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '20.h1', 'projective_image': '40.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017408
{'ambient': '1600.5495', 'aut_centralizer_order': 480, 'aut_label': '25.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1024.dia', 'aut_weyl_index': 480, 'centralizer': '4.b1', 'complements': ['64.a1'], 'conjugacy_class_count': 1, 'contained_in': ['5.a1'], 'contains': ['50.a1', '50.b1', '50.c1'], 'core': '25.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [523, 333, 9346, 9211], 'generators': [1, 2, 80], 'label': '1600.5495.25.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '25.a1', 'normal_contained_in': ['5.a1'], 'normal_contains': ['50.a1', '50.b1', '50.c1'], 'normalizer': '1.a1', 'old_label': '25.a1', 'projective_image': '100.16', 'quotient_action_image': '1.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '25.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 78017409
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '15360.d', 'aut_weyl_index': 32, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.b1', '8.f1', '8.h1', '8.i1', '20.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6814, 6650, 2043, 1904], 'generators': [1, 320, 80, 800, 8, 32], 'label': '1600.5495.4.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.b1', '8.f1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '8.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017428
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '40.m1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.10', 'aut_weyl_index': 30720, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['8.m1', '20.f1', '20.h1'], 'contains': ['80.g1', '200.m1'], 'core': '80.g1', 'coset_action_label': None, 'count': 48, 'diagramx': [1204, -1, 9337, -1], 'generators': [3, 4, 8, 320], 'label': '1600.5495.40.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '40.m1', 'projective_image': '80.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017410
{'ambient': '1600.5495', 'aut_centralizer_order': 1024, 'aut_label': '32.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1'], 'contains': ['64.a1', '160.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9310, 9726, 1287, 1629], 'generators': [800, 320, 32], 'label': '1600.5495.32.a1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1'], 'normal_contains': ['64.a1', '160.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '32.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.36', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017411
{'ambient': '1600.5495', 'aut_centralizer_order': 1024, 'aut_label': '32.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.d1', '16.h1'], 'contains': ['64.a1', '160.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8144, 7917, 232, 1068], 'generators': [808, 320, 32], 'label': '1600.5495.32.b1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.d1'], 'normal_contains': ['64.a1', '160.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '32.37', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.37', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017412
{'ambient': '1600.5495', 'aut_centralizer_order': 256, 'aut_label': '32.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '480.218', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': ['50.c1'], 'conjugacy_class_count': 4, 'contained_in': ['16.b1', '16.d1', '16.e1', '16.i1'], 'contains': ['64.a1', '160.c1'], 'core': '32.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [9740, 9086, 584, 507], 'generators': [1, 320, 32], 'label': '1600.5495.32.c1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.b1', '16.d1', '16.e1'], 'normal_contains': ['64.a1', '160.c1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': '32.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.5', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017413
{'ambient': '1600.5495', 'aut_centralizer_order': 1024, 'aut_label': '32.d1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.e1', '16.f1', '16.g1', '16.j1', '16.k1'], 'contains': ['64.a1', '160.d1'], 'core': '32.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6817, 6976, 3754, 4157], 'generators': [8, 320, 32], 'label': '1600.5495.32.d1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': ['16.a1', '16.e1', '16.f1', '16.g1'], 'normal_contains': ['64.a1', '160.d1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': '32.22', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.22', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017414
{'ambient': '1600.5495', 'aut_centralizer_order': 128, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '480.218', 'aut_weyl_index': 1024, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.c1', '16.h1', '16.i1', '16.j1'], 'contains': ['64.a1', '160.e1'], 'core': '64.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8777, -1, 936, -1], 'generators': [81, 320, 32], 'label': '1600.5495.32.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '32.e1', 'projective_image': '64.87', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017415
{'ambient': '1600.5495', 'aut_centralizer_order': 5120, 'aut_label': '40.a1', 'aut_quo_index': 2, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 30720, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.a1', '20.a1', '20.b1', '20.c1'], 'contains': ['80.a1', '80.b1', '80.d1', '80.e1', '200.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6698, 6638, 3256, 2799], 'generators': [1, 800, 320, 8], 'label': '1600.5495.40.a1', 'mobius_quo': 8, 'mobius_sub': 0, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1', '20.b1', '20.c1'], 'normal_contains': ['80.a1', '80.b1', '80.d1', '80.e1', '200.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '40.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017416
{'ambient': '1600.5495', 'aut_centralizer_order': 2560, 'aut_label': '40.b1', 'aut_quo_index': 2, 'aut_stab_index': 12, 'aut_weyl_group': '16.10', 'aut_weyl_index': 30720, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['8.b1', '20.a1', '20.d1', '20.e1'], 'contains': ['80.a1', '80.c1', '80.h1', '80.j1', '200.b1'], 'core': '40.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [6112, 5767, 3653, 3431], 'generators': [81, 800, 320, 8], 'label': '1600.5495.40.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': ['8.b1', '20.a1', '20.d1', '20.e1'], 'normal_contains': ['80.a1', '80.c1', '200.b1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '80.45', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017417
{'ambient': '1600.5495', 'aut_centralizer_order': 5120, 'aut_label': '40.c1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 30720, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.c1', '20.b1', '20.d1'], 'contains': ['80.a1', '80.f1', '200.c1'], 'core': '40.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [3368, 3994, 6668, 5994], 'generators': [5, 320, 8, 800], 'label': '1600.5495.40.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.c1', 'normal_contained_in': ['8.c1', '20.b1', '20.d1'], 'normal_contains': ['80.a1', '80.f1', '200.c1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': '40.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017418
{'ambient': '1600.5495', 'aut_centralizer_order': 5120, 'aut_label': '40.d1', 'aut_quo_index': 21, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 30720, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.d1', '20.b1', '20.e1', '20.f1'], 'contains': ['80.a1', '80.g1', '200.d1'], 'core': '40.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [1771, 2106, 8388, 7656], 'generators': [4, 320, 8, 800], 'label': '1600.5495.40.d1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.d1', 'normal_contained_in': ['8.d1', '20.b1', '20.e1', '20.f1'], 'normal_contains': ['80.a1', '80.g1', '200.d1'], 'normalizer': '1.a1', 'old_label': '40.d1', 'projective_image': '40.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.14', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017419
{'ambient': '1600.5495', 'aut_centralizer_order': 2560, 'aut_label': '40.e1', 'aut_quo_index': 2, 'aut_stab_index': 12, 'aut_weyl_group': '16.10', 'aut_weyl_index': 30720, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['8.e1', '20.c1', '20.d1', '20.e1'], 'contains': ['80.a1', '80.k1', '200.e1'], 'core': '40.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [4434, 4935, 5612, 5434], 'generators': [85, 320, 8, 800], 'label': '1600.5495.40.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.e1', 'normal_contained_in': ['8.e1', '20.c1', '20.d1', '20.e1'], 'normal_contains': ['80.a1', '200.e1'], 'normalizer': '1.a1', 'old_label': '40.e1', 'projective_image': '80.45', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017420
{'ambient': '1600.5495', 'aut_centralizer_order': 64, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '7680.l', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.c1', '8.d1', '8.g1', '20.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2326, 2608, 5845, 5715], 'generators': [1, 8, 800, 32, 4, 320], 'label': '1600.5495.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.c1', '8.d1', '8.g1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017421
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '40.f1', 'aut_quo_index': 1, 'aut_stab_index': 24, 'aut_weyl_group': '32.25', 'aut_weyl_index': 15360, 'centralizer': '2.a1', 'complements': ['40.m1'], 'conjugacy_class_count': 24, 'contained_in': ['8.f1', '20.a1'], 'contains': ['80.b1', '80.c1', '80.i1', '200.f1'], 'core': '40.f1', 'coset_action_label': None, 'count': 24, 'diagramx': [8270, 7956, 1754, 1412], 'generators': [1, 800, 320, 80], 'label': '1600.5495.40.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.f1', 'normal_contained_in': ['8.f1', '20.a1'], 'normal_contains': ['80.b1', '80.c1', '200.f1'], 'normalizer': '1.a1', 'old_label': '40.f1', 'projective_image': '80.23', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017422
{'ambient': '1600.5495', 'aut_centralizer_order': 1280, 'aut_label': '40.g1', 'aut_quo_index': 2, 'aut_stab_index': 24, 'aut_weyl_group': '16.10', 'aut_weyl_index': 30720, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 24, 'contained_in': ['8.g1', '20.b1', '20.g1', '20.h1'], 'contains': ['80.e1', '80.f1', '80.g1', '200.g1'], 'core': '40.g1', 'coset_action_label': None, 'count': 24, 'diagramx': [2305, 2899, 7358, 6555], 'generators': [1, 320, 8, 4], 'label': '1600.5495.40.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.g1', 'normal_contained_in': ['8.g1', '20.b1'], 'normal_contains': ['80.e1', '80.f1', '80.g1', '200.g1'], 'normalizer': '1.a1', 'old_label': '40.g1', 'projective_image': '40.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.10', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017423
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.25', 'aut_weyl_index': 15360, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.h1', '20.a1'], 'contains': ['80.d1', '80.h1', '80.i1', '200.h1'], 'core': '80.d1', 'coset_action_label': None, 'count': 24, 'diagramx': [7584, -1, 1356, -1], 'generators': [1, 880, 320, 808], 'label': '1600.5495.40.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.h1', 'projective_image': '80.24', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017424
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '40.i1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.25', 'aut_weyl_index': 15360, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.i1', '20.a1', '20.g1'], 'contains': ['80.e1', '80.i1', '80.j1', '200.i1'], 'core': '80.e1', 'coset_action_label': None, 'count': 24, 'diagramx': [5627, -1, 2859, -1], 'generators': [1, 80, 320, 8], 'label': '1600.5495.40.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.i1', 'projective_image': '80.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017425
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '40.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.25', 'aut_weyl_index': 15360, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.j1', '20.c1', '20.g1'], 'contains': ['80.e1', '80.k1', '200.j1'], 'core': '80.e1', 'coset_action_label': None, 'count': 24, 'diagramx': [4967, -1, 4909, -1], 'generators': [1, 320, 8, 84], 'label': '1600.5495.40.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.j1', 'projective_image': '80.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017426
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '40.k1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.10', 'aut_weyl_index': 30720, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['8.k1', '20.d1', '20.g1'], 'contains': ['80.f1', '80.j1', '80.k1', '200.k1'], 'core': '80.f1', 'coset_action_label': None, 'count': 48, 'diagramx': [3901, -1, 5261, -1], 'generators': [5, 320, 8, 80], 'label': '1600.5495.40.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.k1', 'projective_image': '80.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017429
{'ambient': '1600.5495', 'aut_centralizer_order': 3840, 'aut_label': '50.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 3840, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '25.a1'], 'contains': ['100.a1', '100.b1', '100.c1', '100.d1', '100.e1', '100.g1'], 'core': '50.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2056, 2613, 8062, 8271], 'generators': [1, 4, 80, 800], 'label': '1600.5495.50.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.a1', 'normal_contained_in': ['10.a1', '25.a1'], 'normal_contains': ['100.a1', '100.b1', '100.c1', '100.d1', '100.e1'], 'normalizer': '1.a1', 'old_label': '50.a1', 'projective_image': '100.16', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017430
{'ambient': '1600.5495', 'aut_centralizer_order': 3840, 'aut_label': '50.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '64.202', 'aut_weyl_index': 7680, 'centralizer': '2.b1', 'complements': ['32.e1'], 'conjugacy_class_count': 2, 'contained_in': ['10.b1', '25.a1'], 'contains': ['100.b1', '100.f1', '100.h1'], 'core': '50.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [482, 274, 9700, 9761], 'generators': [1, 2, 800], 'label': '1600.5495.50.b1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.b1', 'normal_contained_in': ['10.b1', '25.a1'], 'normal_contains': ['100.b1', '100.f1'], 'normalizer': '1.a1', 'old_label': '50.b1', 'projective_image': '100.16', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017431
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '15360.d', 'aut_weyl_index': 32, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.e1', '8.j1', '20.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5233, 5727, 3558, 2981], 'generators': [1, 8, 800, 32, 84, 320], 'label': '1600.5495.4.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.e1', '20.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '8.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017432
{'ambient': '1600.5495', 'aut_centralizer_order': 1920, 'aut_label': '50.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '64.202', 'aut_weyl_index': 7680, 'centralizer': '4.b1', 'complements': ['32.e1', '32.c1'], 'conjugacy_class_count': 4, 'contained_in': ['10.c1', '25.a1'], 'contains': ['100.e1', '100.f1'], 'core': '50.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [1041, 805, 9409, 9297], 'generators': [81, 2], 'label': '1600.5495.50.c1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.c1', 'normal_contained_in': ['10.c1', '25.a1'], 'normal_contains': ['100.e1', '100.f1'], 'normalizer': '1.a1', 'old_label': '50.c1', 'projective_image': '200.52', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 78017433
{'ambient': '1600.5495', 'aut_centralizer_order': 1024, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1'], 'contains': ['320.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9241, 9282, 1113, 1629], 'generators': [32, 320], 'label': '1600.5495.64.a1', 'mobius_quo': 5, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1', '32.c1', '32.d1'], 'normal_contains': ['320.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '64.87', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.87', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017434
{'ambient': '1600.5495', 'aut_centralizer_order': 20480, 'aut_label': '80.a1', 'aut_quo_index': 12, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 122880, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.a1', '40.a1', '40.b1', '40.c1', '40.d1', '40.e1'], 'contains': ['160.a1', '160.b1', '160.d1', '400.a1'], 'core': '80.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6460, 6214, 4809, 5279], 'generators': [8, 320, 800], 'label': '1600.5495.80.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1', '40.c1', '40.d1', '40.e1'], 'normal_contains': ['160.a1', '160.b1', '160.d1', '400.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '80.45', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.45', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017435
{'ambient': '1600.5495', 'aut_centralizer_order': 5120, 'aut_label': '80.b1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 61440, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['16.b1', '40.a1', '40.f1'], 'contains': ['160.a1', '160.c1', '400.b1'], 'core': '80.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9323, 8097, 2694, 2750], 'generators': [1, 320, 800], 'label': '1600.5495.80.b1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.b1', 'normal_contained_in': ['16.b1', '40.a1', '40.f1'], 'normal_contains': ['160.a1', '160.c1', '400.b1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': '80.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.23', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017436
{'ambient': '1600.5495', 'aut_centralizer_order': 2560, 'aut_label': '80.c1', 'aut_quo_index': 1, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 61440, 'centralizer': '2.a1', 'complements': ['20.h1'], 'conjugacy_class_count': 24, 'contained_in': ['16.c1', '40.b1', '40.f1'], 'contains': ['160.a1', '160.e1', '400.c1'], 'core': '80.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [8690, 8737, 3046, 3311], 'generators': [81, 320, 800], 'label': '1600.5495.80.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.c1', 'normal_contained_in': ['16.c1', '40.b1', '40.f1'], 'normal_contains': ['160.a1', '400.c1'], 'normalizer': '1.a1', 'old_label': '80.c1', 'projective_image': '160.190', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017437
{'ambient': '1600.5495', 'aut_centralizer_order': 5120, 'aut_label': '80.d1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 61440, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['16.d1', '40.a1', '40.h1'], 'contains': ['160.b1', '160.c1', '400.d1'], 'core': '80.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [7626, 7155, 1639, 2190], 'generators': [801, 320, 808], 'label': '1600.5495.80.d1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.d1', 'normal_contained_in': ['16.d1', '40.a1'], 'normal_contains': ['160.b1', '160.c1', '400.d1'], 'normalizer': '1.a1', 'old_label': '80.d1', 'projective_image': '80.24', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.24', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017438
{'ambient': '1600.5495', 'aut_centralizer_order': 5120, 'aut_label': '80.e1', 'aut_quo_index': 2, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 61440, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['16.e1', '40.a1', '40.g1', '40.i1', '40.j1'], 'contains': ['160.c1', '160.d1', '400.e1'], 'core': '80.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [6030, 5575, 4106, 4718], 'generators': [1, 320, 8], 'label': '1600.5495.80.e1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.e1', 'normal_contained_in': ['16.e1', '40.a1', '40.g1'], 'normal_contains': ['160.c1', '160.d1', '400.e1'], 'normalizer': '1.a1', 'old_label': '80.e1', 'projective_image': '80.21', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.21', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017439
{'ambient': '1600.5495', 'aut_centralizer_order': 5120, 'aut_label': '80.f1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 61440, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['16.f1', '40.c1', '40.g1', '40.k1'], 'contains': ['160.d1', '400.f1'], 'core': '80.f1', 'coset_action_label': None, 'count': 12, 'diagramx': [3478, 4190, 5802, 6276], 'generators': [5, 8, 320], 'label': '1600.5495.80.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.f1', 'normal_contained_in': ['16.f1', '40.c1', '40.g1'], 'normal_contains': ['160.d1', '400.f1'], 'normalizer': '1.a1', 'old_label': '80.f1', 'projective_image': '80.21', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.21', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017440
{'ambient': '1600.5495', 'aut_centralizer_order': 5120, 'aut_label': '80.g1', 'aut_quo_index': 2, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 61440, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['16.g1', '40.d1', '40.g1', '40.l1', '40.m1'], 'contains': ['160.d1', '400.g1'], 'core': '80.g1', 'coset_action_label': None, 'count': 12, 'diagramx': [2516, 3123, 6873, 6579], 'generators': [4, 8, 320], 'label': '1600.5495.80.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.g1', 'normal_contained_in': ['16.g1', '40.d1', '40.g1'], 'normal_contains': ['160.d1', '400.g1'], 'normalizer': '1.a1', 'old_label': '80.g1', 'projective_image': '80.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.46', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017441
{'ambient': '1600.5495', 'aut_centralizer_order': 2560, 'aut_label': '80.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 61440, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.h1', '40.b1', '40.h1'], 'contains': ['160.b1', '160.e1', '400.h1'], 'core': '160.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7094, -1, 1991, -1], 'generators': [881, 320, 808], 'label': '1600.5495.80.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '80.h1', 'projective_image': '160.191', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017442
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '4.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '7680.l', 'aut_weyl_index': 64, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.b1', '8.c1', '8.e1', '8.k1', '20.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [3798, 4689, 4702, 3892], 'generators': [5, 8, 800, 32, 80, 320], 'label': '1600.5495.4.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.b1', '8.c1', '8.e1', '20.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '8.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017443
{'ambient': '1600.5495', 'aut_centralizer_order': 640, 'aut_label': '80.i1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.2', 'aut_weyl_index': 61440, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['16.i1', '40.f1', '40.h1', '40.i1'], 'contains': ['160.c1', '160.e1', '400.i1'], 'core': '160.c1', 'coset_action_label': None, 'count': 96, 'diagramx': [8260, -1, 2343, -1], 'generators': [1, 320, 80], 'label': '1600.5495.80.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '80.i1', 'projective_image': '160.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017444
{'ambient': '1600.5495', 'aut_centralizer_order': 2560, 'aut_label': '80.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 61440, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.j1', '40.b1', '40.i1', '40.k1', '40.l1'], 'contains': ['160.d1', '160.e1', '400.j1'], 'core': '160.d1', 'coset_action_label': None, 'count': 24, 'diagramx': [5600, -1, 4458, -1], 'generators': [81, 320, 8], 'label': '1600.5495.80.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '80.j1', 'projective_image': '160.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017445
{'ambient': '1600.5495', 'aut_centralizer_order': 2560, 'aut_label': '80.k1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 61440, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.k1', '40.e1', '40.j1', '40.k1', '40.l1'], 'contains': ['160.d1', '400.k1'], 'core': '160.d1', 'coset_action_label': None, 'count': 24, 'diagramx': [4415, -1, 5612, -1], 'generators': [85, 8, 320], 'label': '1600.5495.80.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '80.k1', 'projective_image': '160.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017446
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '100.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 15360, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.a1', '50.a1'], 'contains': ['200.a1', '200.b1', '200.f1', '200.h1', '200.i1'], 'core': '100.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5558, 5426, 3940, 3889], 'generators': [1, 8, 80, 800], 'label': '1600.5495.100.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '100.a1', 'normal_contained_in': ['20.a1', '50.a1'], 'normal_contains': ['200.a1', '200.b1', '200.f1'], 'normalizer': '1.a1', 'old_label': '100.a1', 'projective_image': '200.37', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.5', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017447
{'ambient': '1600.5495', 'aut_centralizer_order': 30720, 'aut_label': '100.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 30720, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.b1', '50.a1', '50.b1'], 'contains': ['200.a1', '200.c1', '200.d1', '200.g1'], 'core': '100.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1872, 1946, 9072, 9286], 'generators': [1, 4, 800], 'label': '1600.5495.100.b1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.b1', 'normal_contained_in': ['20.b1', '50.a1', '50.b1'], 'normal_contains': ['200.a1', '200.c1', '200.d1', '200.g1'], 'normalizer': '1.a1', 'old_label': '100.b1', 'projective_image': '100.16', 'quotient_action_image': '1.1', 'quotient_action_kernel': '100.16', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '100.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017448
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '100.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 15360, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.c1', '50.a1'], 'contains': ['200.a1', '200.e1', '200.j1'], 'core': '100.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4675, 4370, 7013, 7105], 'generators': [1, 84, 800], 'label': '1600.5495.100.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '100.c1', 'normal_contained_in': ['20.c1', '50.a1'], 'normal_contains': ['200.a1', '200.e1'], 'normalizer': '1.a1', 'old_label': '100.c1', 'projective_image': '200.37', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.5', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017449
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '100.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 30720, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['20.d1', '50.a1'], 'contains': ['200.b1', '200.c1', '200.e1', '200.k1'], 'core': '100.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [3572, 3755, 8043, 8206], 'generators': [5, 80, 800], 'label': '1600.5495.100.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '100.d1', 'normal_contained_in': ['20.d1', '50.a1'], 'normal_contains': ['200.b1', '200.c1', '200.e1'], 'normalizer': '1.a1', 'old_label': '100.d1', 'projective_image': '200.37', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.5', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017450
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '100.e1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 30720, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['20.e1', '50.a1', '50.c1'], 'contains': ['200.b1', '200.d1', '200.e1', '200.l1'], 'core': '100.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [2389, 2715, 8733, 8746], 'generators': [81, 4, 800], 'label': '1600.5495.100.e1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.e1', 'normal_contained_in': ['20.e1', '50.a1', '50.c1'], 'normal_contains': ['200.b1', '200.d1', '200.e1'], 'normalizer': '1.a1', 'old_label': '100.e1', 'projective_image': '200.52', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.5', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017451
{'ambient': '1600.5495', 'aut_centralizer_order': 15360, 'aut_label': '100.f1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 61440, 'centralizer': '2.b1', 'complements': ['16.i1'], 'conjugacy_class_count': 4, 'contained_in': ['20.f1', '50.b1', '50.c1'], 'contains': ['200.d1', '200.m1'], 'core': '100.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [970, 914, 9873, 9792], 'generators': [3, 800], 'label': '1600.5495.100.f1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.f1', 'normal_contained_in': ['20.f1', '50.b1', '50.c1'], 'normal_contains': ['200.d1'], 'normalizer': '1.a1', 'old_label': '100.f1', 'projective_image': '200.52', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.5', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017452
{'ambient': '1600.5495', 'aut_centralizer_order': 3840, 'aut_label': '100.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '16.11', 'aut_weyl_index': 30720, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['20.g1', '50.a1'], 'contains': ['200.g1', '200.i1', '200.j1', '200.k1', '200.l1'], 'core': '200.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [2954, -1, 7704, -1], 'generators': [1, 4, 80], 'label': '1600.5495.100.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '50.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '100.g1', 'projective_image': '200.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 78017453
{'ambient': '1600.5495', 'aut_centralizer_order': 32, 'aut_label': '4.e1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '7680.l', 'aut_weyl_index': 64, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.b1', '8.d1', '8.e1', '8.l1', '20.e1'], 'core': '4.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3099, 3648, 5274, 4804], 'generators': [81, 8, 800, 32, 4, 320], 'label': '1600.5495.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.b1', '8.d1', '8.e1', '20.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '8.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 78017454
{'ambient': '1600.5495', 'aut_centralizer_order': 3840, 'aut_label': '100.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '16.11', 'aut_weyl_index': 30720, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['20.h1', '50.b1'], 'contains': ['200.g1', '200.m1'], 'core': '200.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [476, -1, 9579, -1], 'generators': [1, 2], 'label': '1600.5495.100.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '50.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '100.h1', 'projective_image': '200.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017455
{'ambient': '1600.5495', 'aut_centralizer_order': 20480, 'aut_label': '160.a1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 122880, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['32.a1', '80.a1', '80.b1', '80.c1'], 'contains': ['320.a1', '800.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9123, 8792, 2951, 3311], 'generators': [800, 320], 'label': '1600.5495.160.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.a1', 'normal_contained_in': ['32.a1', '80.a1', '80.b1', '80.c1'], 'normal_contains': ['320.a1', '800.a1'], 'normalizer': '1.a1', 'old_label': '160.a1', 'projective_image': '160.190', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.190', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017456
{'ambient': '1600.5495', 'aut_centralizer_order': 20480, 'aut_label': '160.b1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 122880, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['32.b1', '80.a1', '80.d1', '80.h1'], 'contains': ['320.a1', '800.b1'], 'core': '160.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [7510, 7304, 2185, 3008], 'generators': [808, 320], 'label': '1600.5495.160.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.b1', 'normal_contained_in': ['32.b1', '80.a1', '80.d1'], 'normal_contains': ['320.a1', '800.b1'], 'normalizer': '1.a1', 'old_label': '160.b1', 'projective_image': '160.191', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.191', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017457
{'ambient': '1600.5495', 'aut_centralizer_order': 5120, 'aut_label': '160.c1', 'aut_quo_index': 1, 'aut_stab_index': 24, 'aut_weyl_group': '4.1', 'aut_weyl_index': 122880, 'centralizer': '1.a1', 'complements': ['10.c1'], 'conjugacy_class_count': 24, 'contained_in': ['32.c1', '80.b1', '80.d1', '80.e1', '80.i1'], 'contains': ['320.a1', '800.c1'], 'core': '160.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [8888, 8247, 2572, 2706], 'generators': [1, 320], 'label': '1600.5495.160.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.c1', 'normal_contained_in': ['32.c1', '80.b1', '80.d1', '80.e1'], 'normal_contains': ['320.a1', '800.c1'], 'normalizer': '1.a1', 'old_label': '160.c1', 'projective_image': '160.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.48', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017458
{'ambient': '1600.5495', 'aut_centralizer_order': 20480, 'aut_label': '160.d1', 'aut_quo_index': 4, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 122880, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['32.d1', '80.a1', '80.e1', '80.f1', '80.g1', '80.j1', '80.k1'], 'contains': ['320.a1', '800.d1'], 'core': '160.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [6273, 6356, 4809, 5279], 'generators': [8, 320], 'label': '1600.5495.160.d1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.d1', 'normal_contained_in': ['32.d1', '80.a1', '80.e1', '80.f1', '80.g1'], 'normal_contains': ['320.a1', '800.d1'], 'normalizer': '1.a1', 'old_label': '160.d1', 'projective_image': '160.176', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.176', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017459
{'ambient': '1600.5495', 'aut_centralizer_order': 2560, 'aut_label': '160.e1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.1', 'aut_weyl_index': 122880, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['32.e1', '80.c1', '80.h1', '80.i1', '80.j1'], 'contains': ['320.a1', '800.e1'], 'core': '320.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8386, -1, 2761, -1], 'generators': [81, 320], 'label': '1600.5495.160.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '160.e1', 'projective_image': '320.907', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017460
{'ambient': '1600.5495', 'aut_centralizer_order': 122880, 'aut_label': '200.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 122880, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['40.a1', '100.a1', '100.b1', '100.c1'], 'contains': ['400.a1', '400.b1', '400.d1', '400.e1'], 'core': '200.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5759, 5245, 5252, 5702], 'generators': [1, 8, 800], 'label': '1600.5495.200.a1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '200.a1', 'normal_contained_in': ['40.a1', '100.a1', '100.b1', '100.c1'], 'normal_contains': ['400.a1', '400.b1', '400.d1', '400.e1'], 'normalizer': '1.a1', 'old_label': '200.a1', 'projective_image': '200.37', 'quotient_action_image': '1.1', 'quotient_action_kernel': '200.37', 'quotient_action_kernel_order': 200, 'quotient_fusion': None, 'short_label': '200.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017461
{'ambient': '1600.5495', 'aut_centralizer_order': 61440, 'aut_label': '200.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 122880, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['40.b1', '100.a1', '100.d1', '100.e1'], 'contains': ['400.a1', '400.c1', '400.h1', '400.j1'], 'core': '200.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5078, 5630, 5429, 5984], 'generators': [81, 8, 800], 'label': '1600.5495.200.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '200.b1', 'normal_contained_in': ['40.b1', '100.a1', '100.d1', '100.e1'], 'normal_contains': ['400.a1', '400.c1'], 'normalizer': '1.a1', 'old_label': '200.b1', 'projective_image': '400.201', 'quotient_action_image': '2.1', 'quotient_action_kernel': '100.16', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '200.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 78017462
{'ambient': '1600.5495', 'aut_centralizer_order': 122880, 'aut_label': '200.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 122880, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['40.c1', '100.b1', '100.d1'], 'contains': ['400.a1', '400.f1'], 'core': '200.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3442, 3440, 7408, 7432], 'generators': [5, 800], 'label': '1600.5495.200.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '200.c1', 'normal_contained_in': ['40.c1', '100.b1', '100.d1'], 'normal_contains': ['400.a1', '400.f1'], 'normalizer': '1.a1', 'old_label': '200.c1', 'projective_image': '200.37', 'quotient_action_image': '1.1', 'quotient_action_kernel': '200.37', 'quotient_action_kernel_order': 200, 'quotient_fusion': None, 'short_label': '200.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 78017463
{'ambient': '1600.5495', 'aut_centralizer_order': 122880, 'aut_label': '200.d1', 'aut_quo_index': 21, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 122880, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['40.d1', '100.b1', '100.e1', '100.f1'], 'contains': ['400.a1', '400.g1'], 'core': '200.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [2194, 2436, 8560, 8567], 'generators': [4, 800], 'label': '1600.5495.200.d1', 'mobius_quo': 0, 'mobius_sub': -40, 'normal_closure': '200.d1', 'normal_contained_in': ['40.d1', '100.b1', '100.e1', '100.f1'], 'normal_contains': ['400.a1', '400.g1'], 'normalizer': '1.a1', 'old_label': '200.d1', 'projective_image': '200.52', 'quotient_action_image': '1.1', 'quotient_action_kernel': '200.52', 'quotient_action_kernel_order': 200, 'quotient_fusion': None, 'short_label': '200.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}