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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '1089.4', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 1320, 'aut_gen_orders': [30, 10, 30], 'aut_gens': [[1, 11], [500, 753], [503, 91], [500, 722]], 'aut_group': None, 'aut_hash': 7922592257758804337, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 79200, 'aut_permdeg': 126, 'aut_perms': [2871736254667091483951865417660513110685806723676499044586847432898418501913161761398367430419563534419025675437122903723390976783618546435838373998202225628954007962519982044174668975621343494993690703172608680, 3428972362074461151098237385145876994694308268796546882491869301794420764529506853719319203974291585879850376614861844132615689772486766409250337427940232116018733259921930007660025077608329354778041300101213088, 2871736254667091483964228006352100453792626391378766628926958394688996121231858995532775518418132996659443430654947974660356033260836504331980105730403827629381804872294931691243820640127256432676718924436139730], 'aut_phi_ratio': 120.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [3, 1, 2, 1], [9, 1, 6, 1], [11, 1, 120, 1], [33, 1, 240, 1], [99, 1, 720, 1]], 'aut_supersolvable': False, 'aut_tex': '(C_2\\times C_{30}).\\PSL(2,11).C_2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 1320, 'autcent_group': None, 'autcent_hash': 7922592257758804337, 'autcent_nilpotent': False, 'autcent_order': 79200, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': '(C_2\\times C_{30}).\\PSL(2,11).C_2', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [3, 1, 2], [9, 1, 6], [11, 1, 120], [33, 1, 240], [99, 1, 720]], 'center_label': '1089.4', 'center_order': 1089, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['3.1', '3.1', '11.1', '11.1'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 4, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['11.1', 2], ['9.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [3, 1, 2, 1], [9, 1, 6, 1], [11, 1, 10, 12], [33, 1, 20, 12], [99, 1, 60, 12]], 'element_repr_type': 'PC', 'elementary': 11, 'eulerian_function': 12, 'exponent': 99, 'exponents_of_order': [2, 2], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [3, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '363.3', 'hash': 4, 'hyperelementary': 11, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1], 'inner_gens': [[1, 11], [1, 11]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 1089]], 'label': '1089.4', 'linC_count': None, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C11*C99', 'ngens': 4, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 6, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 1089, 'number_divisions': 39, 'number_normal_subgroups': 42, 'number_subgroup_autclasses': 9, 'number_subgroup_classes': 42, 'number_subgroups': 42, 'old_label': None, 'order': 1089, 'order_factorization_type': 22, 'order_stats': [[1, 1], [3, 2], [9, 6], [11, 120], [33, 240], [99, 720]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 1320, 'outer_gen_orders': [120, 10, 30], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[104, 122], [597, 194], [602, 449]], 'outer_group': None, 'outer_hash': 7922592257758804337, 'outer_nilpotent': False, 'outer_order': 79200, 'outer_permdeg': 126, 'outer_perms': [11843275019178887294675557695194775006782960964659729496581959261668698220046582285752404260698541912335330690970530009875772707437459723158396136234157525561578038695444124991965563236016984196368460622656172389, 13463386946812888836641078596964398865381326999267968088459821209972363239289284942147307250501782488109919030225532382817469344549344070402975128292028604338363468385350236357560809282843225043128465372715189471, 14403135260546972730910095488894235817257237347430390064984553407680986036004841392509235718743642113120484550911667881086616251304175796180158579948114839679125445604152499647860835107874587339710031759597819779], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': '(C_2\\times C_{30}).\\PSL(2,11).C_2', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 31, 'pgroup': 0, 'primary_abelian_invariants': [9, 11, 11], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 1], [6, 1], [10, 12], [20, 12], [60, 12]], 'representations': {'PC': {'code': 5632069119, 'gens': [1, 2], 'pres': [4, -11, -3, -3, -11, 29, 46]}, 'GLFp': {'d': 2, 'p': 199, 'gens': [1394866032, 985074876]}, 'Perm': {'d': 31, 'gens': [2176902780527636963980738560000000, 530527498604179757443417374720000, 510909421717094400000, 36288000]}}, 'schur_multiplier': [11], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [11, 99], 'solvability_type': 1, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{11}\\times C_{99}', 'transitive_degree': 1089, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 112326493
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 4, 'group_order': 1089, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
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id: 112326694
{'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 4, 'group_order': 1089, 'label': '3A1', 'order': 3, 'powers': [3, 1, 3, 3], 'representative': 363, 'size': 1}
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id: 112326805
{'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 4, 'group_order': 1089, 'label': '3A-1', 'order': 3, 'powers': [2, 1, 2, 2], 'representative': 726, 'size': 1}
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id: 112326916
{'aut_label': '9A1', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 4, 'group_order': 1089, 'label': '9A1', 'order': 9, 'powers': [6, 2, 9, 6], 'representative': 121, 'size': 1}
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id: 112327027
{'aut_label': '9A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 4, 'group_order': 1089, 'label': '9A-1', 'order': 9, 'powers': [7, 3, 8, 7], 'representative': 968, 'size': 1}
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id: 112327138
{'aut_label': '9A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 4, 'group_order': 1089, 'label': '9A2', 'order': 9, 'powers': [8, 3, 4, 8], 'representative': 242, 'size': 1}
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id: 112327249
{'aut_label': '9A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 4, 'group_order': 1089, 'label': '9A-2', 'order': 9, 'powers': [9, 2, 5, 9], 'representative': 847, 'size': 1}
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id: 112327360
{'aut_label': '9A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 4, 'group_order': 1089, 'label': '9A4', 'order': 9, 'powers': [5, 2, 6, 5], 'representative': 484, 'size': 1}
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id: 112327471
{'aut_label': '9A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 4, 'group_order': 1089, 'label': '9A-4', 'order': 9, 'powers': [4, 3, 7, 4], 'representative': 605, 'size': 1}
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id: 112326494
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 4, 'group_order': 1089, 'label': '11A1', 'order': 11, 'powers': [12, 14, 18, 1], 'representative': 99, 'size': 1}
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id: 112326595
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 4, 'group_order': 1089, 'label': '11A-1', 'order': 11, 'powers': [13, 15, 19, 1], 'representative': 990, 'size': 1}
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id: 112326606
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 4, 'group_order': 1089, 'label': '11A2', 'order': 11, 'powers': [16, 19, 11, 1], 'representative': 198, 'size': 1}
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id: 112326617
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 4, 'group_order': 1089, 'label': '11A-2', 'order': 11, 'powers': [17, 18, 10, 1], 'representative': 891, 'size': 1}
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id: 112326628
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 4, 'group_order': 1089, 'label': '11A3', 'order': 11, 'powers': [19, 13, 16, 1], 'representative': 297, 'size': 1}
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id: 112326639
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 4, 'group_order': 1089, 'label': '11A-3', 'order': 11, 'powers': [18, 12, 17, 1], 'representative': 792, 'size': 1}
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id: 112326650
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 4, 'group_order': 1089, 'label': '11A4', 'order': 11, 'powers': [15, 10, 13, 1], 'representative': 396, 'size': 1}
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id: 112326661
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 4, 'group_order': 1089, 'label': '11A-4', 'order': 11, 'powers': [14, 11, 12, 1], 'representative': 693, 'size': 1}
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id: 112326672
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 4, 'group_order': 1089, 'label': '11A5', 'order': 11, 'powers': [11, 16, 14, 1], 'representative': 495, 'size': 1}
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id: 112326683
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 4, 'group_order': 1089, 'label': '11A-5', 'order': 11, 'powers': [10, 17, 15, 1], 'representative': 594, 'size': 1}
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id: 112326695
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 4, 'group_order': 1089, 'label': '11B1', 'order': 11, 'powers': [22, 24, 28, 1], 'representative': 108, 'size': 1}
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id: 112326706
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 4, 'group_order': 1089, 'label': '11B-1', 'order': 11, 'powers': [23, 25, 29, 1], 'representative': 992, 'size': 1}
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id: 112326717
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 4, 'group_order': 1089, 'label': '11B2', 'order': 11, 'powers': [26, 29, 21, 1], 'representative': 205, 'size': 1}
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id: 112326728
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 4, 'group_order': 1089, 'label': '11B-2', 'order': 11, 'powers': [27, 28, 20, 1], 'representative': 895, 'size': 1}
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id: 112326739
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 4, 'group_order': 1089, 'label': '11B3', 'order': 11, 'powers': [29, 23, 26, 1], 'representative': 302, 'size': 1}
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id: 112326750
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 4, 'group_order': 1089, 'label': '11B-3', 'order': 11, 'powers': [28, 22, 27, 1], 'representative': 798, 'size': 1}
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id: 112326761
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 4, 'group_order': 1089, 'label': '11B4', 'order': 11, 'powers': [25, 20, 23, 1], 'representative': 399, 'size': 1}
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id: 112326772
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 4, 'group_order': 1089, 'label': '11B-4', 'order': 11, 'powers': [24, 21, 22, 1], 'representative': 701, 'size': 1}
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id: 112326783
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 4, 'group_order': 1089, 'label': '11B5', 'order': 11, 'powers': [21, 26, 24, 1], 'representative': 496, 'size': 1}
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id: 112326794
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 4, 'group_order': 1089, 'label': '11B-5', 'order': 11, 'powers': [20, 27, 25, 1], 'representative': 604, 'size': 1}
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id: 112326806
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 4, 'group_order': 1089, 'label': '11C1', 'order': 11, 'powers': [32, 34, 38, 1], 'representative': 207, 'size': 1}
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id: 112326817
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 4, 'group_order': 1089, 'label': '11C-1', 'order': 11, 'powers': [33, 35, 39, 1], 'representative': 893, 'size': 1}
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id: 112326828
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 4, 'group_order': 1089, 'label': '11C2', 'order': 11, 'powers': [36, 39, 31, 1], 'representative': 403, 'size': 1}
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id: 112326839
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 4, 'group_order': 1089, 'label': '11C-2', 'order': 11, 'powers': [37, 38, 30, 1], 'representative': 697, 'size': 1}
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id: 112326850
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 4, 'group_order': 1089, 'label': '11C3', 'order': 11, 'powers': [39, 33, 36, 1], 'representative': 599, 'size': 1}
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id: 112326861
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 4, 'group_order': 1089, 'label': '11C-3', 'order': 11, 'powers': [38, 32, 37, 1], 'representative': 501, 'size': 1}
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id: 112326872
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 4, 'group_order': 1089, 'label': '11C4', 'order': 11, 'powers': [35, 30, 33, 1], 'representative': 795, 'size': 1}
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id: 112326883
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 4, 'group_order': 1089, 'label': '11C-4', 'order': 11, 'powers': [34, 31, 32, 1], 'representative': 305, 'size': 1}
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id: 112326894
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 4, 'group_order': 1089, 'label': '11C5', 'order': 11, 'powers': [31, 36, 34, 1], 'representative': 991, 'size': 1}
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id: 112326905
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 4, 'group_order': 1089, 'label': '11C-5', 'order': 11, 'powers': [30, 37, 35, 1], 'representative': 109, 'size': 1}
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id: 112326917
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 4, 'group_order': 1089, 'label': '11D1', 'order': 11, 'powers': [42, 44, 48, 1], 'representative': 106, 'size': 1}
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id: 112326928
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 4, 'group_order': 1089, 'label': '11D-1', 'order': 11, 'powers': [43, 45, 49, 1], 'representative': 994, 'size': 1}
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id: 112326939
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 4, 'group_order': 1089, 'label': '11D2', 'order': 11, 'powers': [46, 49, 41, 1], 'representative': 201, 'size': 1}
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id: 112326950
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 4, 'group_order': 1089, 'label': '11D-2', 'order': 11, 'powers': [47, 48, 40, 1], 'representative': 899, 'size': 1}
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id: 112326961
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 4, 'group_order': 1089, 'label': '11D3', 'order': 11, 'powers': [49, 43, 46, 1], 'representative': 307, 'size': 1}
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id: 112326972
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 4, 'group_order': 1089, 'label': '11D-3', 'order': 11, 'powers': [48, 42, 47, 1], 'representative': 793, 'size': 1}
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id: 112326983
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 4, 'group_order': 1089, 'label': '11D4', 'order': 11, 'powers': [45, 40, 43, 1], 'representative': 402, 'size': 1}
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id: 112326994
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 4, 'group_order': 1089, 'label': '11D-4', 'order': 11, 'powers': [44, 41, 42, 1], 'representative': 698, 'size': 1}
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id: 112327005
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 4, 'group_order': 1089, 'label': '11D5', 'order': 11, 'powers': [41, 46, 44, 1], 'representative': 497, 'size': 1}
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id: 112327016
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 4, 'group_order': 1089, 'label': '11D-5', 'order': 11, 'powers': [40, 47, 45, 1], 'representative': 603, 'size': 1}
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id: 112327028
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 4, 'group_order': 1089, 'label': '11E1', 'order': 11, 'powers': [52, 54, 58, 1], 'representative': 104, 'size': 1}
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id: 112327039
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 4, 'group_order': 1089, 'label': '11E-1', 'order': 11, 'powers': [53, 55, 59, 1], 'representative': 996, 'size': 1}
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id: 112327050
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 4, 'group_order': 1089, 'label': '11E2', 'order': 11, 'powers': [56, 59, 51, 1], 'representative': 208, 'size': 1}
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id: 112327061
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 4, 'group_order': 1089, 'label': '11E-2', 'order': 11, 'powers': [57, 58, 50, 1], 'representative': 892, 'size': 1}
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id: 112327072
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 4, 'group_order': 1089, 'label': '11E3', 'order': 11, 'powers': [59, 53, 56, 1], 'representative': 301, 'size': 1}
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id: 112327083
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 4, 'group_order': 1089, 'label': '11E-3', 'order': 11, 'powers': [58, 52, 57, 1], 'representative': 799, 'size': 1}
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id: 112327094
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 4, 'group_order': 1089, 'label': '11E4', 'order': 11, 'powers': [55, 50, 53, 1], 'representative': 405, 'size': 1}
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id: 112327105
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 57, 'group_counter': 4, 'group_order': 1089, 'label': '11E-4', 'order': 11, 'powers': [54, 51, 52, 1], 'representative': 695, 'size': 1}
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id: 112327116
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 4, 'group_order': 1089, 'label': '11E5', 'order': 11, 'powers': [51, 56, 54, 1], 'representative': 498, 'size': 1}
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id: 112327127
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 59, 'group_counter': 4, 'group_order': 1089, 'label': '11E-5', 'order': 11, 'powers': [50, 57, 55, 1], 'representative': 602, 'size': 1}
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id: 112327139
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 60, 'group_counter': 4, 'group_order': 1089, 'label': '11F1', 'order': 11, 'powers': [62, 64, 68, 1], 'representative': 203, 'size': 1}
-
id: 112327150
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 61, 'group_counter': 4, 'group_order': 1089, 'label': '11F-1', 'order': 11, 'powers': [63, 65, 69, 1], 'representative': 897, 'size': 1}
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id: 112327161
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 62, 'group_counter': 4, 'group_order': 1089, 'label': '11F2', 'order': 11, 'powers': [66, 69, 61, 1], 'representative': 406, 'size': 1}
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id: 112327172
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 63, 'group_counter': 4, 'group_order': 1089, 'label': '11F-2', 'order': 11, 'powers': [67, 68, 60, 1], 'representative': 694, 'size': 1}
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id: 112327183
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 64, 'group_counter': 4, 'group_order': 1089, 'label': '11F3', 'order': 11, 'powers': [69, 63, 66, 1], 'representative': 598, 'size': 1}
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id: 112327194
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 65, 'group_counter': 4, 'group_order': 1089, 'label': '11F-3', 'order': 11, 'powers': [68, 62, 67, 1], 'representative': 502, 'size': 1}
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id: 112327205
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 66, 'group_counter': 4, 'group_order': 1089, 'label': '11F4', 'order': 11, 'powers': [65, 60, 63, 1], 'representative': 801, 'size': 1}
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id: 112327216
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 67, 'group_counter': 4, 'group_order': 1089, 'label': '11F-4', 'order': 11, 'powers': [64, 61, 62, 1], 'representative': 299, 'size': 1}
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id: 112327227
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 68, 'group_counter': 4, 'group_order': 1089, 'label': '11F5', 'order': 11, 'powers': [61, 66, 64, 1], 'representative': 993, 'size': 1}
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id: 112327238
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 69, 'group_counter': 4, 'group_order': 1089, 'label': '11F-5', 'order': 11, 'powers': [60, 67, 65, 1], 'representative': 107, 'size': 1}
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id: 112327250
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 70, 'group_counter': 4, 'group_order': 1089, 'label': '11G1', 'order': 11, 'powers': [72, 74, 78, 1], 'representative': 102, 'size': 1}
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id: 112327261
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 71, 'group_counter': 4, 'group_order': 1089, 'label': '11G-1', 'order': 11, 'powers': [73, 75, 79, 1], 'representative': 998, 'size': 1}
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id: 112327272
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 72, 'group_counter': 4, 'group_order': 1089, 'label': '11G2', 'order': 11, 'powers': [76, 79, 71, 1], 'representative': 204, 'size': 1}
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id: 112327283
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 73, 'group_counter': 4, 'group_order': 1089, 'label': '11G-2', 'order': 11, 'powers': [77, 78, 70, 1], 'representative': 896, 'size': 1}
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id: 112327294
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 74, 'group_counter': 4, 'group_order': 1089, 'label': '11G3', 'order': 11, 'powers': [79, 73, 76, 1], 'representative': 306, 'size': 1}
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id: 112327305
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 75, 'group_counter': 4, 'group_order': 1089, 'label': '11G-3', 'order': 11, 'powers': [78, 72, 77, 1], 'representative': 794, 'size': 1}
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id: 112327316
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 76, 'group_counter': 4, 'group_order': 1089, 'label': '11G4', 'order': 11, 'powers': [75, 70, 73, 1], 'representative': 397, 'size': 1}
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id: 112327327
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 77, 'group_counter': 4, 'group_order': 1089, 'label': '11G-4', 'order': 11, 'powers': [74, 71, 72, 1], 'representative': 703, 'size': 1}
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id: 112327338
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 78, 'group_counter': 4, 'group_order': 1089, 'label': '11G5', 'order': 11, 'powers': [71, 76, 74, 1], 'representative': 499, 'size': 1}
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id: 112327349
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 79, 'group_counter': 4, 'group_order': 1089, 'label': '11G-5', 'order': 11, 'powers': [70, 77, 75, 1], 'representative': 601, 'size': 1}
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id: 112327361
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 80, 'group_counter': 4, 'group_order': 1089, 'label': '11H1', 'order': 11, 'powers': [82, 84, 88, 1], 'representative': 100, 'size': 1}
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id: 112327372
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 81, 'group_counter': 4, 'group_order': 1089, 'label': '11H-1', 'order': 11, 'powers': [83, 85, 89, 1], 'representative': 1000, 'size': 1}
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id: 112327383
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 82, 'group_counter': 4, 'group_order': 1089, 'label': '11H2', 'order': 11, 'powers': [86, 89, 81, 1], 'representative': 200, 'size': 1}
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id: 112327394
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 83, 'group_counter': 4, 'group_order': 1089, 'label': '11H-2', 'order': 11, 'powers': [87, 88, 80, 1], 'representative': 900, 'size': 1}
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id: 112327405
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 84, 'group_counter': 4, 'group_order': 1089, 'label': '11H3', 'order': 11, 'powers': [89, 83, 86, 1], 'representative': 300, 'size': 1}
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id: 112327416
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 85, 'group_counter': 4, 'group_order': 1089, 'label': '11H-3', 'order': 11, 'powers': [88, 82, 87, 1], 'representative': 800, 'size': 1}
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id: 112327427
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 86, 'group_counter': 4, 'group_order': 1089, 'label': '11H4', 'order': 11, 'powers': [85, 80, 83, 1], 'representative': 400, 'size': 1}
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id: 112327438
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 87, 'group_counter': 4, 'group_order': 1089, 'label': '11H-4', 'order': 11, 'powers': [84, 81, 82, 1], 'representative': 700, 'size': 1}
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id: 112327449
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 88, 'group_counter': 4, 'group_order': 1089, 'label': '11H5', 'order': 11, 'powers': [81, 86, 84, 1], 'representative': 500, 'size': 1}
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id: 112327460
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 89, 'group_counter': 4, 'group_order': 1089, 'label': '11H-5', 'order': 11, 'powers': [80, 87, 85, 1], 'representative': 600, 'size': 1}
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id: 112327472
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 90, 'group_counter': 4, 'group_order': 1089, 'label': '11I1', 'order': 11, 'powers': [92, 94, 98, 1], 'representative': 199, 'size': 1}
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id: 112327483
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 91, 'group_counter': 4, 'group_order': 1089, 'label': '11I-1', 'order': 11, 'powers': [93, 95, 99, 1], 'representative': 901, 'size': 1}
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id: 112327494
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 92, 'group_counter': 4, 'group_order': 1089, 'label': '11I2', 'order': 11, 'powers': [96, 99, 91, 1], 'representative': 398, 'size': 1}
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id: 112327505
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 93, 'group_counter': 4, 'group_order': 1089, 'label': '11I-2', 'order': 11, 'powers': [97, 98, 90, 1], 'representative': 702, 'size': 1}
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id: 112327516
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 94, 'group_counter': 4, 'group_order': 1089, 'label': '11I3', 'order': 11, 'powers': [99, 93, 96, 1], 'representative': 597, 'size': 1}
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id: 112327527
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 95, 'group_counter': 4, 'group_order': 1089, 'label': '11I-3', 'order': 11, 'powers': [98, 92, 97, 1], 'representative': 503, 'size': 1}
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id: 112327538
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 96, 'group_counter': 4, 'group_order': 1089, 'label': '11I4', 'order': 11, 'powers': [95, 90, 93, 1], 'representative': 796, 'size': 1}
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id: 112327549
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 97, 'group_counter': 4, 'group_order': 1089, 'label': '11I-4', 'order': 11, 'powers': [94, 91, 92, 1], 'representative': 304, 'size': 1}
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id: 112327560
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 98, 'group_counter': 4, 'group_order': 1089, 'label': '11I5', 'order': 11, 'powers': [91, 96, 94, 1], 'representative': 995, 'size': 1}
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id: 112327571
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 99, 'group_counter': 4, 'group_order': 1089, 'label': '11I-5', 'order': 11, 'powers': [90, 97, 95, 1], 'representative': 105, 'size': 1}
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id: 112326495
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 100, 'group_counter': 4, 'group_order': 1089, 'label': '11J1', 'order': 11, 'powers': [102, 104, 108, 1], 'representative': 206, 'size': 1}
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id: 112326506
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 101, 'group_counter': 4, 'group_order': 1089, 'label': '11J-1', 'order': 11, 'powers': [103, 105, 109, 1], 'representative': 894, 'size': 1}
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id: 112326517
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 102, 'group_counter': 4, 'group_order': 1089, 'label': '11J2', 'order': 11, 'powers': [106, 109, 101, 1], 'representative': 401, 'size': 1}
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id: 112326528
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 103, 'group_counter': 4, 'group_order': 1089, 'label': '11J-2', 'order': 11, 'powers': [107, 108, 100, 1], 'representative': 699, 'size': 1}
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id: 112326539
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 104, 'group_counter': 4, 'group_order': 1089, 'label': '11J3', 'order': 11, 'powers': [109, 103, 106, 1], 'representative': 596, 'size': 1}
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id: 112326550
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 105, 'group_counter': 4, 'group_order': 1089, 'label': '11J-3', 'order': 11, 'powers': [108, 102, 107, 1], 'representative': 504, 'size': 1}
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id: 112326561
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 106, 'group_counter': 4, 'group_order': 1089, 'label': '11J4', 'order': 11, 'powers': [105, 100, 103, 1], 'representative': 802, 'size': 1}
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id: 112326572
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 107, 'group_counter': 4, 'group_order': 1089, 'label': '11J-4', 'order': 11, 'powers': [104, 101, 102, 1], 'representative': 298, 'size': 1}
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id: 112326583
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 108, 'group_counter': 4, 'group_order': 1089, 'label': '11J5', 'order': 11, 'powers': [101, 106, 104, 1], 'representative': 997, 'size': 1}
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id: 112326594
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 109, 'group_counter': 4, 'group_order': 1089, 'label': '11J-5', 'order': 11, 'powers': [100, 107, 105, 1], 'representative': 103, 'size': 1}
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id: 112326596
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 110, 'group_counter': 4, 'group_order': 1089, 'label': '11K1', 'order': 11, 'powers': [112, 114, 118, 1], 'representative': 202, 'size': 1}
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id: 112326597
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 111, 'group_counter': 4, 'group_order': 1089, 'label': '11K-1', 'order': 11, 'powers': [113, 115, 119, 1], 'representative': 898, 'size': 1}
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id: 112326598
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 112, 'group_counter': 4, 'group_order': 1089, 'label': '11K2', 'order': 11, 'powers': [116, 119, 111, 1], 'representative': 404, 'size': 1}
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id: 112326599
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 113, 'group_counter': 4, 'group_order': 1089, 'label': '11K-2', 'order': 11, 'powers': [117, 118, 110, 1], 'representative': 696, 'size': 1}
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id: 112326600
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 114, 'group_counter': 4, 'group_order': 1089, 'label': '11K3', 'order': 11, 'powers': [119, 113, 116, 1], 'representative': 595, 'size': 1}
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id: 112326601
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 115, 'group_counter': 4, 'group_order': 1089, 'label': '11K-3', 'order': 11, 'powers': [118, 112, 117, 1], 'representative': 505, 'size': 1}
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id: 112326602
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 116, 'group_counter': 4, 'group_order': 1089, 'label': '11K4', 'order': 11, 'powers': [115, 110, 113, 1], 'representative': 797, 'size': 1}
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id: 112326603
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 117, 'group_counter': 4, 'group_order': 1089, 'label': '11K-4', 'order': 11, 'powers': [114, 111, 112, 1], 'representative': 303, 'size': 1}
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id: 112326604
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 118, 'group_counter': 4, 'group_order': 1089, 'label': '11K5', 'order': 11, 'powers': [111, 116, 114, 1], 'representative': 999, 'size': 1}
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id: 112326605
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 119, 'group_counter': 4, 'group_order': 1089, 'label': '11K-5', 'order': 11, 'powers': [110, 117, 115, 1], 'representative': 101, 'size': 1}
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id: 112326607
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 120, 'group_counter': 4, 'group_order': 1089, 'label': '11L1', 'order': 11, 'powers': [122, 124, 128, 1], 'representative': 9, 'size': 1}
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id: 112326608
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 121, 'group_counter': 4, 'group_order': 1089, 'label': '11L-1', 'order': 11, 'powers': [123, 125, 129, 1], 'representative': 2, 'size': 1}
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id: 112326609
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 122, 'group_counter': 4, 'group_order': 1089, 'label': '11L2', 'order': 11, 'powers': [126, 129, 121, 1], 'representative': 7, 'size': 1}
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id: 112326610
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 123, 'group_counter': 4, 'group_order': 1089, 'label': '11L-2', 'order': 11, 'powers': [127, 128, 120, 1], 'representative': 4, 'size': 1}
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id: 112326611
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 124, 'group_counter': 4, 'group_order': 1089, 'label': '11L3', 'order': 11, 'powers': [129, 123, 126, 1], 'representative': 5, 'size': 1}
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id: 112326612
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 125, 'group_counter': 4, 'group_order': 1089, 'label': '11L-3', 'order': 11, 'powers': [128, 122, 127, 1], 'representative': 6, 'size': 1}
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id: 112326613
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 126, 'group_counter': 4, 'group_order': 1089, 'label': '11L4', 'order': 11, 'powers': [125, 120, 123, 1], 'representative': 3, 'size': 1}
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id: 112326614
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 127, 'group_counter': 4, 'group_order': 1089, 'label': '11L-4', 'order': 11, 'powers': [124, 121, 122, 1], 'representative': 8, 'size': 1}
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id: 112326615
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 128, 'group_counter': 4, 'group_order': 1089, 'label': '11L5', 'order': 11, 'powers': [121, 126, 124, 1], 'representative': 1, 'size': 1}
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id: 112326616
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 129, 'group_counter': 4, 'group_order': 1089, 'label': '11L-5', 'order': 11, 'powers': [120, 127, 125, 1], 'representative': 10, 'size': 1}
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id: 112326618
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 130, 'group_counter': 4, 'group_order': 1089, 'label': '33A1', 'order': 33, 'powers': [132, 10, 136, 2], 'representative': 33, 'size': 1}
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id: 112326619
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 131, 'group_counter': 4, 'group_order': 1089, 'label': '33A-1', 'order': 33, 'powers': [133, 11, 137, 3], 'representative': 1056, 'size': 1}
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id: 112326620
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 132, 'group_counter': 4, 'group_order': 1089, 'label': '33A2', 'order': 33, 'powers': [134, 12, 142, 3], 'representative': 66, 'size': 1}
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id: 112326621
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 133, 'group_counter': 4, 'group_order': 1089, 'label': '33A-2', 'order': 33, 'powers': [135, 13, 143, 2], 'representative': 1023, 'size': 1}
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id: 112326622
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 134, 'group_counter': 4, 'group_order': 1089, 'label': '33A4', 'order': 33, 'powers': [140, 16, 145, 2], 'representative': 132, 'size': 1}
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id: 112326623
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 135, 'group_counter': 4, 'group_order': 1089, 'label': '33A-4', 'order': 33, 'powers': [141, 17, 144, 3], 'representative': 957, 'size': 1}
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id: 112326624
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 136, 'group_counter': 4, 'group_order': 1089, 'label': '33A5', 'order': 33, 'powers': [142, 18, 141, 3], 'representative': 165, 'size': 1}
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id: 112326625
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 137, 'group_counter': 4, 'group_order': 1089, 'label': '33A-5', 'order': 33, 'powers': [143, 19, 140, 2], 'representative': 924, 'size': 1}
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id: 112326626
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 138, 'group_counter': 4, 'group_order': 1089, 'label': '33A7', 'order': 33, 'powers': [146, 17, 132, 2], 'representative': 231, 'size': 1}
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id: 112326627
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 139, 'group_counter': 4, 'group_order': 1089, 'label': '33A-7', 'order': 33, 'powers': [147, 16, 133, 3], 'representative': 858, 'size': 1}
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id: 112326629
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 140, 'group_counter': 4, 'group_order': 1089, 'label': '33A8', 'order': 33, 'powers': [148, 15, 138, 3], 'representative': 264, 'size': 1}
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id: 112326630
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 141, 'group_counter': 4, 'group_order': 1089, 'label': '33A-8', 'order': 33, 'powers': [149, 14, 139, 2], 'representative': 825, 'size': 1}
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id: 112326631
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 142, 'group_counter': 4, 'group_order': 1089, 'label': '33A10', 'order': 33, 'powers': [145, 11, 149, 2], 'representative': 330, 'size': 1}
-
id: 112326632
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 143, 'group_counter': 4, 'group_order': 1089, 'label': '33A-10', 'order': 33, 'powers': [144, 10, 148, 3], 'representative': 759, 'size': 1}
-
id: 112326633
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 144, 'group_counter': 4, 'group_order': 1089, 'label': '33A13', 'order': 33, 'powers': [139, 12, 131, 2], 'representative': 429, 'size': 1}
-
id: 112326634
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 145, 'group_counter': 4, 'group_order': 1089, 'label': '33A-13', 'order': 33, 'powers': [138, 13, 130, 3], 'representative': 660, 'size': 1}
-
id: 112326635
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 146, 'group_counter': 4, 'group_order': 1089, 'label': '33A14', 'order': 33, 'powers': [137, 14, 134, 3], 'representative': 462, 'size': 1}
-
id: 112326636
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 147, 'group_counter': 4, 'group_order': 1089, 'label': '33A-14', 'order': 33, 'powers': [136, 15, 135, 2], 'representative': 627, 'size': 1}
-
id: 112326637
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 148, 'group_counter': 4, 'group_order': 1089, 'label': '33A16', 'order': 33, 'powers': [131, 18, 146, 2], 'representative': 528, 'size': 1}
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id: 112326638
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 149, 'group_counter': 4, 'group_order': 1089, 'label': '33A-16', 'order': 33, 'powers': [130, 19, 147, 3], 'representative': 561, 'size': 1}
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id: 112326640
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 150, 'group_counter': 4, 'group_order': 1089, 'label': '33B1', 'order': 33, 'powers': [152, 20, 156, 2], 'representative': 36, 'size': 1}
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id: 112326641
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 151, 'group_counter': 4, 'group_order': 1089, 'label': '33B-1', 'order': 33, 'powers': [153, 21, 157, 3], 'representative': 1064, 'size': 1}
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id: 112326642
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 152, 'group_counter': 4, 'group_order': 1089, 'label': '33B2', 'order': 33, 'powers': [154, 22, 162, 3], 'representative': 72, 'size': 1}
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id: 112326643
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 153, 'group_counter': 4, 'group_order': 1089, 'label': '33B-2', 'order': 33, 'powers': [155, 23, 163, 2], 'representative': 1028, 'size': 1}
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id: 112326644
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 154, 'group_counter': 4, 'group_order': 1089, 'label': '33B4', 'order': 33, 'powers': [160, 26, 165, 2], 'representative': 133, 'size': 1}
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id: 112326645
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 155, 'group_counter': 4, 'group_order': 1089, 'label': '33B-4', 'order': 33, 'powers': [161, 27, 164, 3], 'representative': 967, 'size': 1}
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id: 112326646
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 156, 'group_counter': 4, 'group_order': 1089, 'label': '33B5', 'order': 33, 'powers': [162, 28, 161, 3], 'representative': 169, 'size': 1}
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id: 112326647
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 157, 'group_counter': 4, 'group_order': 1089, 'label': '33B-5', 'order': 33, 'powers': [163, 29, 160, 2], 'representative': 931, 'size': 1}
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id: 112326648
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 158, 'group_counter': 4, 'group_order': 1089, 'label': '33B7', 'order': 33, 'powers': [166, 27, 152, 2], 'representative': 241, 'size': 1}
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id: 112326649
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 159, 'group_counter': 4, 'group_order': 1089, 'label': '33B-7', 'order': 33, 'powers': [167, 26, 153, 3], 'representative': 859, 'size': 1}
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id: 112326651
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 160, 'group_counter': 4, 'group_order': 1089, 'label': '33B8', 'order': 33, 'powers': [168, 25, 158, 3], 'representative': 266, 'size': 1}
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id: 112326652
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 161, 'group_counter': 4, 'group_order': 1089, 'label': '33B-8', 'order': 33, 'powers': [169, 24, 159, 2], 'representative': 834, 'size': 1}
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id: 112326653
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 162, 'group_counter': 4, 'group_order': 1089, 'label': '33B10', 'order': 33, 'powers': [165, 21, 169, 2], 'representative': 338, 'size': 1}
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id: 112326654
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 163, 'group_counter': 4, 'group_order': 1089, 'label': '33B-10', 'order': 33, 'powers': [164, 20, 168, 3], 'representative': 762, 'size': 1}
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id: 112326655
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 164, 'group_counter': 4, 'group_order': 1089, 'label': '33B13', 'order': 33, 'powers': [159, 22, 151, 2], 'representative': 435, 'size': 1}
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id: 112326656
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 165, 'group_counter': 4, 'group_order': 1089, 'label': '33B-13', 'order': 33, 'powers': [158, 23, 150, 3], 'representative': 665, 'size': 1}
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id: 112326657
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 166, 'group_counter': 4, 'group_order': 1089, 'label': '33B14', 'order': 33, 'powers': [157, 24, 154, 3], 'representative': 471, 'size': 1}
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id: 112326658
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 167, 'group_counter': 4, 'group_order': 1089, 'label': '33B-14', 'order': 33, 'powers': [156, 25, 155, 2], 'representative': 629, 'size': 1}
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id: 112326659
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 168, 'group_counter': 4, 'group_order': 1089, 'label': '33B16', 'order': 33, 'powers': [151, 28, 166, 2], 'representative': 532, 'size': 1}
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id: 112326660
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 169, 'group_counter': 4, 'group_order': 1089, 'label': '33B-16', 'order': 33, 'powers': [150, 29, 167, 3], 'representative': 568, 'size': 1}
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id: 112326662
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 170, 'group_counter': 4, 'group_order': 1089, 'label': '33C1', 'order': 33, 'powers': [172, 30, 176, 3], 'representative': 69, 'size': 1}
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id: 112326663
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 171, 'group_counter': 4, 'group_order': 1089, 'label': '33C-1', 'order': 33, 'powers': [173, 31, 177, 2], 'representative': 1031, 'size': 1}
-
id: 112326664
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 172, 'group_counter': 4, 'group_order': 1089, 'label': '33C2', 'order': 33, 'powers': [174, 32, 182, 2], 'representative': 138, 'size': 1}
-
id: 112326665
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 173, 'group_counter': 4, 'group_order': 1089, 'label': '33C-2', 'order': 33, 'powers': [175, 33, 183, 3], 'representative': 962, 'size': 1}
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id: 112326666
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 174, 'group_counter': 4, 'group_order': 1089, 'label': '33C4', 'order': 33, 'powers': [180, 36, 185, 3], 'representative': 265, 'size': 1}
-
id: 112326667
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 175, 'group_counter': 4, 'group_order': 1089, 'label': '33C-4', 'order': 33, 'powers': [181, 37, 184, 2], 'representative': 835, 'size': 1}
-
id: 112326668
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 176, 'group_counter': 4, 'group_order': 1089, 'label': '33C5', 'order': 33, 'powers': [182, 38, 181, 2], 'representative': 334, 'size': 1}
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id: 112326669
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 177, 'group_counter': 4, 'group_order': 1089, 'label': '33C-5', 'order': 33, 'powers': [183, 39, 180, 3], 'representative': 766, 'size': 1}
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id: 112326670
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 178, 'group_counter': 4, 'group_order': 1089, 'label': '33C7', 'order': 33, 'powers': [186, 37, 172, 3], 'representative': 472, 'size': 1}
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id: 112326671
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 179, 'group_counter': 4, 'group_order': 1089, 'label': '33C-7', 'order': 33, 'powers': [187, 36, 173, 2], 'representative': 628, 'size': 1}
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id: 112326673
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 180, 'group_counter': 4, 'group_order': 1089, 'label': '33C8', 'order': 33, 'powers': [188, 35, 178, 2], 'representative': 530, 'size': 1}
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id: 112326674
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 181, 'group_counter': 4, 'group_order': 1089, 'label': '33C-8', 'order': 33, 'powers': [189, 34, 179, 3], 'representative': 570, 'size': 1}
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id: 112326675
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 182, 'group_counter': 4, 'group_order': 1089, 'label': '33C10', 'order': 33, 'powers': [185, 31, 189, 3], 'representative': 668, 'size': 1}
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id: 112326676
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 183, 'group_counter': 4, 'group_order': 1089, 'label': '33C-10', 'order': 33, 'powers': [184, 30, 188, 2], 'representative': 432, 'size': 1}
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id: 112326677
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 184, 'group_counter': 4, 'group_order': 1089, 'label': '33C13', 'order': 33, 'powers': [179, 32, 171, 3], 'representative': 864, 'size': 1}
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id: 112326678
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 185, 'group_counter': 4, 'group_order': 1089, 'label': '33C-13', 'order': 33, 'powers': [178, 33, 170, 2], 'representative': 236, 'size': 1}
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id: 112326679
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 186, 'group_counter': 4, 'group_order': 1089, 'label': '33C14', 'order': 33, 'powers': [177, 34, 174, 2], 'representative': 933, 'size': 1}
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id: 112326680
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 187, 'group_counter': 4, 'group_order': 1089, 'label': '33C-14', 'order': 33, 'powers': [176, 35, 175, 3], 'representative': 167, 'size': 1}
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id: 112326681
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 188, 'group_counter': 4, 'group_order': 1089, 'label': '33C16', 'order': 33, 'powers': [171, 38, 186, 3], 'representative': 1060, 'size': 1}
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id: 112326682
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 189, 'group_counter': 4, 'group_order': 1089, 'label': '33C-16', 'order': 33, 'powers': [170, 39, 187, 2], 'representative': 40, 'size': 1}
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id: 112326684
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 190, 'group_counter': 4, 'group_order': 1089, 'label': '33D1', 'order': 33, 'powers': [192, 40, 196, 2], 'representative': 39, 'size': 1}
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id: 112326685
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 191, 'group_counter': 4, 'group_order': 1089, 'label': '33D-1', 'order': 33, 'powers': [193, 41, 197, 3], 'representative': 1061, 'size': 1}
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id: 112326686
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 192, 'group_counter': 4, 'group_order': 1089, 'label': '33D2', 'order': 33, 'powers': [194, 42, 202, 3], 'representative': 67, 'size': 1}
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id: 112326687
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 193, 'group_counter': 4, 'group_order': 1089, 'label': '33D-2', 'order': 33, 'powers': [195, 43, 203, 2], 'representative': 1033, 'size': 1}
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id: 112326688
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 194, 'group_counter': 4, 'group_order': 1089, 'label': '33D4', 'order': 33, 'powers': [200, 46, 205, 2], 'representative': 134, 'size': 1}
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id: 112326689
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 195, 'group_counter': 4, 'group_order': 1089, 'label': '33D-4', 'order': 33, 'powers': [201, 47, 204, 3], 'representative': 966, 'size': 1}
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id: 112326690
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 196, 'group_counter': 4, 'group_order': 1089, 'label': '33D5', 'order': 33, 'powers': [202, 48, 201, 3], 'representative': 173, 'size': 1}
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id: 112326691
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 197, 'group_counter': 4, 'group_order': 1089, 'label': '33D-5', 'order': 33, 'powers': [203, 49, 200, 2], 'representative': 927, 'size': 1}
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id: 112326692
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 198, 'group_counter': 4, 'group_order': 1089, 'label': '33D7', 'order': 33, 'powers': [206, 47, 192, 2], 'representative': 240, 'size': 1}
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id: 112326693
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 199, 'group_counter': 4, 'group_order': 1089, 'label': '33D-7', 'order': 33, 'powers': [207, 46, 193, 3], 'representative': 860, 'size': 1}
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id: 112326696
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 200, 'group_counter': 4, 'group_order': 1089, 'label': '33D8', 'order': 33, 'powers': [208, 45, 198, 3], 'representative': 268, 'size': 1}
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id: 112326697
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 201, 'group_counter': 4, 'group_order': 1089, 'label': '33D-8', 'order': 33, 'powers': [209, 44, 199, 2], 'representative': 832, 'size': 1}
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id: 112326698
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 202, 'group_counter': 4, 'group_order': 1089, 'label': '33D10', 'order': 33, 'powers': [205, 41, 209, 2], 'representative': 335, 'size': 1}
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id: 112326699
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 203, 'group_counter': 4, 'group_order': 1089, 'label': '33D-10', 'order': 33, 'powers': [204, 40, 208, 3], 'representative': 765, 'size': 1}
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id: 112326700
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 204, 'group_counter': 4, 'group_order': 1089, 'label': '33D13', 'order': 33, 'powers': [199, 42, 191, 2], 'representative': 430, 'size': 1}
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id: 112326701
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 205, 'group_counter': 4, 'group_order': 1089, 'label': '33D-13', 'order': 33, 'powers': [198, 43, 190, 3], 'representative': 670, 'size': 1}
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id: 112326702
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 206, 'group_counter': 4, 'group_order': 1089, 'label': '33D14', 'order': 33, 'powers': [197, 44, 194, 3], 'representative': 469, 'size': 1}
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id: 112326703
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 207, 'group_counter': 4, 'group_order': 1089, 'label': '33D-14', 'order': 33, 'powers': [196, 45, 195, 2], 'representative': 631, 'size': 1}
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id: 112326704
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 208, 'group_counter': 4, 'group_order': 1089, 'label': '33D16', 'order': 33, 'powers': [191, 48, 206, 2], 'representative': 536, 'size': 1}
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id: 112326705
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 209, 'group_counter': 4, 'group_order': 1089, 'label': '33D-16', 'order': 33, 'powers': [190, 49, 207, 3], 'representative': 564, 'size': 1}
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id: 112326707
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 210, 'group_counter': 4, 'group_order': 1089, 'label': '33E1', 'order': 33, 'powers': [212, 50, 216, 2], 'representative': 42, 'size': 1}
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id: 112326708
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 211, 'group_counter': 4, 'group_order': 1089, 'label': '33E-1', 'order': 33, 'powers': [213, 51, 217, 3], 'representative': 1058, 'size': 1}
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id: 112326709
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 212, 'group_counter': 4, 'group_order': 1089, 'label': '33E2', 'order': 33, 'powers': [214, 52, 222, 3], 'representative': 73, 'size': 1}
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id: 112326710
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 213, 'group_counter': 4, 'group_order': 1089, 'label': '33E-2', 'order': 33, 'powers': [215, 53, 223, 2], 'representative': 1027, 'size': 1}
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id: 112326711
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 214, 'group_counter': 4, 'group_order': 1089, 'label': '33E4', 'order': 33, 'powers': [220, 56, 225, 2], 'representative': 135, 'size': 1}
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id: 112326712
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 215, 'group_counter': 4, 'group_order': 1089, 'label': '33E-4', 'order': 33, 'powers': [221, 57, 224, 3], 'representative': 965, 'size': 1}
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id: 112326713
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 216, 'group_counter': 4, 'group_order': 1089, 'label': '33E5', 'order': 33, 'powers': [222, 58, 221, 3], 'representative': 166, 'size': 1}
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id: 112326714
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 217, 'group_counter': 4, 'group_order': 1089, 'label': '33E-5', 'order': 33, 'powers': [223, 59, 220, 2], 'representative': 934, 'size': 1}
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id: 112326715
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 218, 'group_counter': 4, 'group_order': 1089, 'label': '33E7', 'order': 33, 'powers': [226, 57, 212, 2], 'representative': 239, 'size': 1}
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id: 112326716
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 219, 'group_counter': 4, 'group_order': 1089, 'label': '33E-7', 'order': 33, 'powers': [227, 56, 213, 3], 'representative': 861, 'size': 1}
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id: 112326718
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 220, 'group_counter': 4, 'group_order': 1089, 'label': '33E8', 'order': 33, 'powers': [228, 55, 218, 3], 'representative': 270, 'size': 1}
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id: 112326719
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 221, 'group_counter': 4, 'group_order': 1089, 'label': '33E-8', 'order': 33, 'powers': [229, 54, 219, 2], 'representative': 830, 'size': 1}
-
id: 112326720
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 222, 'group_counter': 4, 'group_order': 1089, 'label': '33E10', 'order': 33, 'powers': [225, 51, 229, 2], 'representative': 332, 'size': 1}
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id: 112326721
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 223, 'group_counter': 4, 'group_order': 1089, 'label': '33E-10', 'order': 33, 'powers': [224, 50, 228, 3], 'representative': 768, 'size': 1}
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id: 112326722
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 224, 'group_counter': 4, 'group_order': 1089, 'label': '33E13', 'order': 33, 'powers': [219, 52, 211, 2], 'representative': 436, 'size': 1}
-
id: 112326723
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 225, 'group_counter': 4, 'group_order': 1089, 'label': '33E-13', 'order': 33, 'powers': [218, 53, 210, 3], 'representative': 664, 'size': 1}
-
id: 112326724
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 226, 'group_counter': 4, 'group_order': 1089, 'label': '33E14', 'order': 33, 'powers': [217, 54, 214, 3], 'representative': 467, 'size': 1}
-
id: 112326725
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 227, 'group_counter': 4, 'group_order': 1089, 'label': '33E-14', 'order': 33, 'powers': [216, 55, 215, 2], 'representative': 633, 'size': 1}
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id: 112326726
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 228, 'group_counter': 4, 'group_order': 1089, 'label': '33E16', 'order': 33, 'powers': [211, 58, 226, 2], 'representative': 529, 'size': 1}
-
id: 112326727
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 229, 'group_counter': 4, 'group_order': 1089, 'label': '33E-16', 'order': 33, 'powers': [210, 59, 227, 3], 'representative': 571, 'size': 1}
-
id: 112326729
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 230, 'group_counter': 4, 'group_order': 1089, 'label': '33F1', 'order': 33, 'powers': [232, 60, 236, 3], 'representative': 75, 'size': 1}
-
id: 112326730
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 231, 'group_counter': 4, 'group_order': 1089, 'label': '33F-1', 'order': 33, 'powers': [233, 61, 237, 2], 'representative': 1025, 'size': 1}
-
id: 112326731
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 232, 'group_counter': 4, 'group_order': 1089, 'label': '33F2', 'order': 33, 'powers': [234, 62, 242, 2], 'representative': 139, 'size': 1}
-
id: 112326732
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 233, 'group_counter': 4, 'group_order': 1089, 'label': '33F-2', 'order': 33, 'powers': [235, 63, 243, 3], 'representative': 961, 'size': 1}
-
id: 112326733
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 234, 'group_counter': 4, 'group_order': 1089, 'label': '33F4', 'order': 33, 'powers': [240, 66, 245, 3], 'representative': 267, 'size': 1}
-
id: 112326734
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 235, 'group_counter': 4, 'group_order': 1089, 'label': '33F-4', 'order': 33, 'powers': [241, 67, 244, 2], 'representative': 833, 'size': 1}
-
id: 112326735
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 236, 'group_counter': 4, 'group_order': 1089, 'label': '33F5', 'order': 33, 'powers': [242, 68, 241, 2], 'representative': 331, 'size': 1}
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id: 112326736
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id: 112326741
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id: 112326743
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id: 112326744
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id: 112326745
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id: 112326746
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id: 112326747
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id: 112326748
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id: 112326749
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id: 112326751
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id: 112326752
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id: 112326753
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id: 112326754
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id: 112326755
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id: 112326756
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 255, 'group_counter': 4, 'group_order': 1089, 'label': '33G-4', 'order': 33, 'powers': [261, 77, 264, 3], 'representative': 964, 'size': 1}
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id: 112326757
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id: 112326758
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id: 112326759
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 258, 'group_counter': 4, 'group_order': 1089, 'label': '33G7', 'order': 33, 'powers': [266, 77, 252, 2], 'representative': 238, 'size': 1}
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id: 112326760
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 259, 'group_counter': 4, 'group_order': 1089, 'label': '33G-7', 'order': 33, 'powers': [267, 76, 253, 3], 'representative': 862, 'size': 1}
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id: 112326762
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 260, 'group_counter': 4, 'group_order': 1089, 'label': '33G8', 'order': 33, 'powers': [268, 75, 258, 3], 'representative': 272, 'size': 1}
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id: 112326763
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 261, 'group_counter': 4, 'group_order': 1089, 'label': '33G-8', 'order': 33, 'powers': [269, 74, 259, 2], 'representative': 828, 'size': 1}
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id: 112326764
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 262, 'group_counter': 4, 'group_order': 1089, 'label': '33G10', 'order': 33, 'powers': [265, 71, 269, 2], 'representative': 340, 'size': 1}
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id: 112326765
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 263, 'group_counter': 4, 'group_order': 1089, 'label': '33G-10', 'order': 33, 'powers': [264, 70, 268, 3], 'representative': 760, 'size': 1}
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id: 112326766
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 264, 'group_counter': 4, 'group_order': 1089, 'label': '33G13', 'order': 33, 'powers': [259, 72, 251, 2], 'representative': 431, 'size': 1}
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id: 112326767
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 265, 'group_counter': 4, 'group_order': 1089, 'label': '33G-13', 'order': 33, 'powers': [258, 73, 250, 3], 'representative': 669, 'size': 1}
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id: 112326768
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 266, 'group_counter': 4, 'group_order': 1089, 'label': '33G14', 'order': 33, 'powers': [257, 74, 254, 3], 'representative': 465, 'size': 1}
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id: 112326769
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id: 112326770
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 268, 'group_counter': 4, 'group_order': 1089, 'label': '33G16', 'order': 33, 'powers': [251, 78, 266, 2], 'representative': 533, 'size': 1}
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id: 112326771
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id: 112326773
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id: 112326774
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id: 112326775
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id: 112326776
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id: 112326777
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id: 112326778
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 275, 'group_counter': 4, 'group_order': 1089, 'label': '33H-4', 'order': 33, 'powers': [281, 87, 284, 3], 'representative': 963, 'size': 1}
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id: 112326779
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 276, 'group_counter': 4, 'group_order': 1089, 'label': '33H5', 'order': 33, 'powers': [282, 88, 281, 3], 'representative': 174, 'size': 1}
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id: 112326780
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 277, 'group_counter': 4, 'group_order': 1089, 'label': '33H-5', 'order': 33, 'powers': [283, 89, 280, 2], 'representative': 926, 'size': 1}
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id: 112326781
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 278, 'group_counter': 4, 'group_order': 1089, 'label': '33H7', 'order': 33, 'powers': [286, 87, 272, 2], 'representative': 237, 'size': 1}
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id: 112326782
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 279, 'group_counter': 4, 'group_order': 1089, 'label': '33H-7', 'order': 33, 'powers': [287, 86, 273, 3], 'representative': 863, 'size': 1}
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id: 112326784
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 280, 'group_counter': 4, 'group_order': 1089, 'label': '33H8', 'order': 33, 'powers': [288, 85, 278, 3], 'representative': 274, 'size': 1}
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id: 112326785
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 281, 'group_counter': 4, 'group_order': 1089, 'label': '33H-8', 'order': 33, 'powers': [289, 84, 279, 2], 'representative': 826, 'size': 1}
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id: 112326786
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 282, 'group_counter': 4, 'group_order': 1089, 'label': '33H10', 'order': 33, 'powers': [285, 81, 289, 2], 'representative': 337, 'size': 1}
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id: 112326787
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id: 112326788
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 284, 'group_counter': 4, 'group_order': 1089, 'label': '33H13', 'order': 33, 'powers': [279, 82, 271, 2], 'representative': 437, 'size': 1}
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id: 112326789
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 285, 'group_counter': 4, 'group_order': 1089, 'label': '33H-13', 'order': 33, 'powers': [278, 83, 270, 3], 'representative': 663, 'size': 1}
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id: 112326790
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 286, 'group_counter': 4, 'group_order': 1089, 'label': '33H14', 'order': 33, 'powers': [277, 84, 274, 3], 'representative': 463, 'size': 1}
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id: 112326791
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 287, 'group_counter': 4, 'group_order': 1089, 'label': '33H-14', 'order': 33, 'powers': [276, 85, 275, 2], 'representative': 637, 'size': 1}
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id: 112326792
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 288, 'group_counter': 4, 'group_order': 1089, 'label': '33H16', 'order': 33, 'powers': [271, 88, 286, 2], 'representative': 537, 'size': 1}
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id: 112326793
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 289, 'group_counter': 4, 'group_order': 1089, 'label': '33H-16', 'order': 33, 'powers': [270, 89, 287, 3], 'representative': 563, 'size': 1}
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id: 112326795
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 290, 'group_counter': 4, 'group_order': 1089, 'label': '33I1', 'order': 33, 'powers': [292, 90, 296, 3], 'representative': 70, 'size': 1}
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id: 112326796
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 291, 'group_counter': 4, 'group_order': 1089, 'label': '33I-1', 'order': 33, 'powers': [293, 91, 297, 2], 'representative': 1030, 'size': 1}
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id: 112326797
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 292, 'group_counter': 4, 'group_order': 1089, 'label': '33I2', 'order': 33, 'powers': [294, 92, 302, 2], 'representative': 140, 'size': 1}
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id: 112326798
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 293, 'group_counter': 4, 'group_order': 1089, 'label': '33I-2', 'order': 33, 'powers': [295, 93, 303, 3], 'representative': 960, 'size': 1}
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id: 112326799
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 294, 'group_counter': 4, 'group_order': 1089, 'label': '33I4', 'order': 33, 'powers': [300, 96, 305, 3], 'representative': 269, 'size': 1}
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id: 112326800
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 295, 'group_counter': 4, 'group_order': 1089, 'label': '33I-4', 'order': 33, 'powers': [301, 97, 304, 2], 'representative': 831, 'size': 1}
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id: 112326801
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 296, 'group_counter': 4, 'group_order': 1089, 'label': '33I5', 'order': 33, 'powers': [302, 98, 301, 2], 'representative': 339, 'size': 1}
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id: 112326802
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 297, 'group_counter': 4, 'group_order': 1089, 'label': '33I-5', 'order': 33, 'powers': [303, 99, 300, 3], 'representative': 761, 'size': 1}
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id: 112326803
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 298, 'group_counter': 4, 'group_order': 1089, 'label': '33I7', 'order': 33, 'powers': [306, 97, 292, 3], 'representative': 468, 'size': 1}
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id: 112326804
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 299, 'group_counter': 4, 'group_order': 1089, 'label': '33I-7', 'order': 33, 'powers': [307, 96, 293, 2], 'representative': 632, 'size': 1}
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id: 112326807
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 300, 'group_counter': 4, 'group_order': 1089, 'label': '33I8', 'order': 33, 'powers': [308, 95, 298, 2], 'representative': 538, 'size': 1}
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id: 112326808
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 301, 'group_counter': 4, 'group_order': 1089, 'label': '33I-8', 'order': 33, 'powers': [309, 94, 299, 3], 'representative': 562, 'size': 1}
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id: 112326809
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 302, 'group_counter': 4, 'group_order': 1089, 'label': '33I10', 'order': 33, 'powers': [305, 91, 309, 3], 'representative': 667, 'size': 1}
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id: 112326810
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 303, 'group_counter': 4, 'group_order': 1089, 'label': '33I-10', 'order': 33, 'powers': [304, 90, 308, 2], 'representative': 433, 'size': 1}
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id: 112326811
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 304, 'group_counter': 4, 'group_order': 1089, 'label': '33I13', 'order': 33, 'powers': [299, 92, 291, 3], 'representative': 866, 'size': 1}
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id: 112326812
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 305, 'group_counter': 4, 'group_order': 1089, 'label': '33I-13', 'order': 33, 'powers': [298, 93, 290, 2], 'representative': 234, 'size': 1}
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id: 112326813
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 306, 'group_counter': 4, 'group_order': 1089, 'label': '33I14', 'order': 33, 'powers': [297, 94, 294, 2], 'representative': 925, 'size': 1}
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id: 112326814
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 307, 'group_counter': 4, 'group_order': 1089, 'label': '33I-14', 'order': 33, 'powers': [296, 95, 295, 3], 'representative': 175, 'size': 1}
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id: 112326815
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 308, 'group_counter': 4, 'group_order': 1089, 'label': '33I16', 'order': 33, 'powers': [291, 98, 306, 3], 'representative': 1065, 'size': 1}
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id: 112326816
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 309, 'group_counter': 4, 'group_order': 1089, 'label': '33I-16', 'order': 33, 'powers': [290, 99, 307, 2], 'representative': 35, 'size': 1}
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id: 112326818
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 310, 'group_counter': 4, 'group_order': 1089, 'label': '33J1', 'order': 33, 'powers': [312, 100, 316, 3], 'representative': 76, 'size': 1}
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id: 112326819
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 311, 'group_counter': 4, 'group_order': 1089, 'label': '33J-1', 'order': 33, 'powers': [313, 101, 317, 2], 'representative': 1024, 'size': 1}
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id: 112326820
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 312, 'group_counter': 4, 'group_order': 1089, 'label': '33J2', 'order': 33, 'powers': [314, 102, 322, 2], 'representative': 141, 'size': 1}
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id: 112326821
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 313, 'group_counter': 4, 'group_order': 1089, 'label': '33J-2', 'order': 33, 'powers': [315, 103, 323, 3], 'representative': 959, 'size': 1}
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id: 112326822
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 314, 'group_counter': 4, 'group_order': 1089, 'label': '33J4', 'order': 33, 'powers': [320, 106, 325, 3], 'representative': 271, 'size': 1}
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id: 112326823
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 315, 'group_counter': 4, 'group_order': 1089, 'label': '33J-4', 'order': 33, 'powers': [321, 107, 324, 2], 'representative': 829, 'size': 1}
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id: 112326824
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 316, 'group_counter': 4, 'group_order': 1089, 'label': '33J5', 'order': 33, 'powers': [322, 108, 321, 2], 'representative': 336, 'size': 1}
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id: 112326825
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 317, 'group_counter': 4, 'group_order': 1089, 'label': '33J-5', 'order': 33, 'powers': [323, 109, 320, 3], 'representative': 764, 'size': 1}
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id: 112326826
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 318, 'group_counter': 4, 'group_order': 1089, 'label': '33J7', 'order': 33, 'powers': [326, 107, 312, 3], 'representative': 466, 'size': 1}
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id: 112326827
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 319, 'group_counter': 4, 'group_order': 1089, 'label': '33J-7', 'order': 33, 'powers': [327, 106, 313, 2], 'representative': 634, 'size': 1}
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id: 112326829
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 320, 'group_counter': 4, 'group_order': 1089, 'label': '33J8', 'order': 33, 'powers': [328, 105, 318, 2], 'representative': 531, 'size': 1}
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id: 112326830
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 321, 'group_counter': 4, 'group_order': 1089, 'label': '33J-8', 'order': 33, 'powers': [329, 104, 319, 3], 'representative': 569, 'size': 1}
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id: 112326831
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 322, 'group_counter': 4, 'group_order': 1089, 'label': '33J10', 'order': 33, 'powers': [325, 101, 329, 3], 'representative': 661, 'size': 1}
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id: 112326832
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 323, 'group_counter': 4, 'group_order': 1089, 'label': '33J-10', 'order': 33, 'powers': [324, 100, 328, 2], 'representative': 439, 'size': 1}
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id: 112326833
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 324, 'group_counter': 4, 'group_order': 1089, 'label': '33J13', 'order': 33, 'powers': [319, 102, 311, 3], 'representative': 867, 'size': 1}
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id: 112326834
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 325, 'group_counter': 4, 'group_order': 1089, 'label': '33J-13', 'order': 33, 'powers': [318, 103, 310, 2], 'representative': 233, 'size': 1}
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id: 112326835
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 326, 'group_counter': 4, 'group_order': 1089, 'label': '33J14', 'order': 33, 'powers': [317, 104, 314, 2], 'representative': 932, 'size': 1}
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id: 112326836
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 327, 'group_counter': 4, 'group_order': 1089, 'label': '33J-14', 'order': 33, 'powers': [316, 105, 315, 3], 'representative': 168, 'size': 1}
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id: 112326837
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 328, 'group_counter': 4, 'group_order': 1089, 'label': '33J16', 'order': 33, 'powers': [311, 108, 326, 3], 'representative': 1062, 'size': 1}
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id: 112326838
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 329, 'group_counter': 4, 'group_order': 1089, 'label': '33J-16', 'order': 33, 'powers': [310, 109, 327, 2], 'representative': 38, 'size': 1}
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id: 112326840
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 330, 'group_counter': 4, 'group_order': 1089, 'label': '33K1', 'order': 33, 'powers': [332, 110, 336, 3], 'representative': 71, 'size': 1}
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id: 112326841
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 331, 'group_counter': 4, 'group_order': 1089, 'label': '33K-1', 'order': 33, 'powers': [333, 111, 337, 2], 'representative': 1029, 'size': 1}
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id: 112326842
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 332, 'group_counter': 4, 'group_order': 1089, 'label': '33K2', 'order': 33, 'powers': [334, 112, 342, 2], 'representative': 142, 'size': 1}
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id: 112326843
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 333, 'group_counter': 4, 'group_order': 1089, 'label': '33K-2', 'order': 33, 'powers': [335, 113, 343, 3], 'representative': 958, 'size': 1}
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id: 112326844
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 334, 'group_counter': 4, 'group_order': 1089, 'label': '33K4', 'order': 33, 'powers': [340, 116, 345, 3], 'representative': 273, 'size': 1}
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id: 112326845
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 335, 'group_counter': 4, 'group_order': 1089, 'label': '33K-4', 'order': 33, 'powers': [341, 117, 344, 2], 'representative': 827, 'size': 1}
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id: 112326846
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 336, 'group_counter': 4, 'group_order': 1089, 'label': '33K5', 'order': 33, 'powers': [342, 118, 341, 2], 'representative': 333, 'size': 1}
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id: 112326847
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 337, 'group_counter': 4, 'group_order': 1089, 'label': '33K-5', 'order': 33, 'powers': [343, 119, 340, 3], 'representative': 767, 'size': 1}
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id: 112326848
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 338, 'group_counter': 4, 'group_order': 1089, 'label': '33K7', 'order': 33, 'powers': [346, 117, 332, 3], 'representative': 464, 'size': 1}
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id: 112326849
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 339, 'group_counter': 4, 'group_order': 1089, 'label': '33K-7', 'order': 33, 'powers': [347, 116, 333, 2], 'representative': 636, 'size': 1}
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id: 112326851
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 340, 'group_counter': 4, 'group_order': 1089, 'label': '33K8', 'order': 33, 'powers': [348, 115, 338, 2], 'representative': 535, 'size': 1}
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id: 112326852
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 341, 'group_counter': 4, 'group_order': 1089, 'label': '33K-8', 'order': 33, 'powers': [349, 114, 339, 3], 'representative': 565, 'size': 1}
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id: 112326853
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 342, 'group_counter': 4, 'group_order': 1089, 'label': '33K10', 'order': 33, 'powers': [345, 111, 349, 3], 'representative': 666, 'size': 1}
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id: 112326854
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 343, 'group_counter': 4, 'group_order': 1089, 'label': '33K-10', 'order': 33, 'powers': [344, 110, 348, 2], 'representative': 434, 'size': 1}
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id: 112326855
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 344, 'group_counter': 4, 'group_order': 1089, 'label': '33K13', 'order': 33, 'powers': [339, 112, 331, 3], 'representative': 868, 'size': 1}
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id: 112326856
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 345, 'group_counter': 4, 'group_order': 1089, 'label': '33K-13', 'order': 33, 'powers': [338, 113, 330, 2], 'representative': 232, 'size': 1}
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id: 112326857
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 346, 'group_counter': 4, 'group_order': 1089, 'label': '33K14', 'order': 33, 'powers': [337, 114, 334, 2], 'representative': 928, 'size': 1}
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id: 112326858
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 347, 'group_counter': 4, 'group_order': 1089, 'label': '33K-14', 'order': 33, 'powers': [336, 115, 335, 3], 'representative': 172, 'size': 1}
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id: 112326859
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 348, 'group_counter': 4, 'group_order': 1089, 'label': '33K16', 'order': 33, 'powers': [331, 118, 346, 3], 'representative': 1059, 'size': 1}
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id: 112326860
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 349, 'group_counter': 4, 'group_order': 1089, 'label': '33K-16', 'order': 33, 'powers': [330, 119, 347, 2], 'representative': 41, 'size': 1}
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id: 112326862
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 350, 'group_counter': 4, 'group_order': 1089, 'label': '33L1', 'order': 33, 'powers': [352, 120, 356, 3], 'representative': 366, 'size': 1}
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id: 112326863
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 351, 'group_counter': 4, 'group_order': 1089, 'label': '33L-1', 'order': 33, 'powers': [353, 121, 357, 2], 'representative': 734, 'size': 1}
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id: 112326864
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 352, 'group_counter': 4, 'group_order': 1089, 'label': '33L2', 'order': 33, 'powers': [354, 122, 362, 2], 'representative': 732, 'size': 1}
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id: 112326865
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 353, 'group_counter': 4, 'group_order': 1089, 'label': '33L-2', 'order': 33, 'powers': [355, 123, 363, 3], 'representative': 368, 'size': 1}
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id: 112326866
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 354, 'group_counter': 4, 'group_order': 1089, 'label': '33L4', 'order': 33, 'powers': [360, 126, 365, 3], 'representative': 364, 'size': 1}
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id: 112326867
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 355, 'group_counter': 4, 'group_order': 1089, 'label': '33L-4', 'order': 33, 'powers': [361, 127, 364, 2], 'representative': 736, 'size': 1}
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id: 112326868
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 356, 'group_counter': 4, 'group_order': 1089, 'label': '33L5', 'order': 33, 'powers': [362, 128, 361, 2], 'representative': 730, 'size': 1}
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id: 112326869
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 357, 'group_counter': 4, 'group_order': 1089, 'label': '33L-5', 'order': 33, 'powers': [363, 129, 360, 3], 'representative': 370, 'size': 1}
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id: 112326870
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 358, 'group_counter': 4, 'group_order': 1089, 'label': '33L7', 'order': 33, 'powers': [366, 127, 352, 3], 'representative': 373, 'size': 1}
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id: 112326871
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 359, 'group_counter': 4, 'group_order': 1089, 'label': '33L-7', 'order': 33, 'powers': [367, 126, 353, 2], 'representative': 727, 'size': 1}
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id: 112326873
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 360, 'group_counter': 4, 'group_order': 1089, 'label': '33L8', 'order': 33, 'powers': [368, 125, 358, 2], 'representative': 728, 'size': 1}
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id: 112326874
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 361, 'group_counter': 4, 'group_order': 1089, 'label': '33L-8', 'order': 33, 'powers': [369, 124, 359, 3], 'representative': 372, 'size': 1}
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id: 112326875
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 362, 'group_counter': 4, 'group_order': 1089, 'label': '33L10', 'order': 33, 'powers': [365, 121, 369, 3], 'representative': 371, 'size': 1}
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id: 112326876
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 363, 'group_counter': 4, 'group_order': 1089, 'label': '33L-10', 'order': 33, 'powers': [364, 120, 368, 2], 'representative': 729, 'size': 1}
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id: 112326877
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 364, 'group_counter': 4, 'group_order': 1089, 'label': '33L13', 'order': 33, 'powers': [359, 122, 351, 3], 'representative': 369, 'size': 1}
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id: 112326878
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 365, 'group_counter': 4, 'group_order': 1089, 'label': '33L-13', 'order': 33, 'powers': [358, 123, 350, 2], 'representative': 731, 'size': 1}
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id: 112326879
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 366, 'group_counter': 4, 'group_order': 1089, 'label': '33L14', 'order': 33, 'powers': [357, 124, 354, 2], 'representative': 735, 'size': 1}
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id: 112326880
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 367, 'group_counter': 4, 'group_order': 1089, 'label': '33L-14', 'order': 33, 'powers': [356, 125, 355, 3], 'representative': 365, 'size': 1}
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id: 112326881
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 368, 'group_counter': 4, 'group_order': 1089, 'label': '33L16', 'order': 33, 'powers': [351, 128, 366, 3], 'representative': 367, 'size': 1}
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id: 112326882
{'aut_label': '33A1', 'centralizer': '1.a1.a1', 'counter': 369, 'group_counter': 4, 'group_order': 1089, 'label': '33L-16', 'order': 33, 'powers': [350, 129, 367, 2], 'representative': 733, 'size': 1}
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id: 112326884
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 370, 'group_counter': 4, 'group_order': 1089, 'label': '99A1', 'order': 99, 'powers': [372, 130, 376, 4], 'representative': 11, 'size': 1}
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id: 112326885
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 371, 'group_counter': 4, 'group_order': 1089, 'label': '99A-1', 'order': 99, 'powers': [373, 131, 377, 5], 'representative': 1078, 'size': 1}
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id: 112326886
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 372, 'group_counter': 4, 'group_order': 1089, 'label': '99A2', 'order': 99, 'powers': [374, 132, 382, 6], 'representative': 22, 'size': 1}
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id: 112326887
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 373, 'group_counter': 4, 'group_order': 1089, 'label': '99A-2', 'order': 99, 'powers': [375, 133, 383, 7], 'representative': 1067, 'size': 1}
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id: 112326888
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 374, 'group_counter': 4, 'group_order': 1089, 'label': '99A4', 'order': 99, 'powers': [380, 134, 394, 8], 'representative': 44, 'size': 1}
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id: 112326889
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 375, 'group_counter': 4, 'group_order': 1089, 'label': '99A-4', 'order': 99, 'powers': [381, 135, 395, 9], 'representative': 1045, 'size': 1}
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id: 112326890
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 376, 'group_counter': 4, 'group_order': 1089, 'label': '99A5', 'order': 99, 'powers': [382, 136, 398, 9], 'representative': 55, 'size': 1}
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id: 112326891
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 377, 'group_counter': 4, 'group_order': 1089, 'label': '99A-5', 'order': 99, 'powers': [383, 137, 399, 8], 'representative': 1034, 'size': 1}
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id: 112326892
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 378, 'group_counter': 4, 'group_order': 1089, 'label': '99A7', 'order': 99, 'powers': [386, 138, 412, 7], 'representative': 77, 'size': 1}
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id: 112326893
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 379, 'group_counter': 4, 'group_order': 1089, 'label': '99A-7', 'order': 99, 'powers': [387, 139, 413, 6], 'representative': 1012, 'size': 1}
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id: 112326895
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 380, 'group_counter': 4, 'group_order': 1089, 'label': '99A8', 'order': 99, 'powers': [388, 140, 418, 5], 'representative': 88, 'size': 1}
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id: 112326896
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 381, 'group_counter': 4, 'group_order': 1089, 'label': '99A-8', 'order': 99, 'powers': [389, 141, 419, 4], 'representative': 1001, 'size': 1}
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id: 112326897
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 382, 'group_counter': 4, 'group_order': 1089, 'label': '99A10', 'order': 99, 'powers': [394, 142, 429, 4], 'representative': 110, 'size': 1}
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id: 112326898
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 383, 'group_counter': 4, 'group_order': 1089, 'label': '99A-10', 'order': 99, 'powers': [395, 143, 428, 5], 'representative': 979, 'size': 1}
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id: 112326899
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 384, 'group_counter': 4, 'group_order': 1089, 'label': '99A13', 'order': 99, 'powers': [400, 144, 411, 8], 'representative': 143, 'size': 1}
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id: 112326900
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 385, 'group_counter': 4, 'group_order': 1089, 'label': '99A-13', 'order': 99, 'powers': [401, 145, 410, 9], 'representative': 946, 'size': 1}
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id: 112326901
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 386, 'group_counter': 4, 'group_order': 1089, 'label': '99A14', 'order': 99, 'powers': [402, 146, 405, 9], 'representative': 154, 'size': 1}
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id: 112326902
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 387, 'group_counter': 4, 'group_order': 1089, 'label': '99A-14', 'order': 99, 'powers': [403, 147, 404, 8], 'representative': 935, 'size': 1}
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id: 112326903
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 388, 'group_counter': 4, 'group_order': 1089, 'label': '99A16', 'order': 99, 'powers': [408, 148, 393, 7], 'representative': 176, 'size': 1}
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id: 112326904
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 389, 'group_counter': 4, 'group_order': 1089, 'label': '99A-16', 'order': 99, 'powers': [409, 149, 392, 6], 'representative': 913, 'size': 1}
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id: 112326906
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 390, 'group_counter': 4, 'group_order': 1089, 'label': '99A17', 'order': 99, 'powers': [410, 149, 387, 5], 'representative': 187, 'size': 1}
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id: 112326907
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 391, 'group_counter': 4, 'group_order': 1089, 'label': '99A-17', 'order': 99, 'powers': [411, 148, 386, 4], 'representative': 902, 'size': 1}
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id: 112326908
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 392, 'group_counter': 4, 'group_order': 1089, 'label': '99A19', 'order': 99, 'powers': [416, 147, 375, 4], 'representative': 209, 'size': 1}
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id: 112326909
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 393, 'group_counter': 4, 'group_order': 1089, 'label': '99A-19', 'order': 99, 'powers': [417, 146, 374, 5], 'representative': 880, 'size': 1}
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id: 112326910
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 394, 'group_counter': 4, 'group_order': 1089, 'label': '99A20', 'order': 99, 'powers': [418, 145, 370, 6], 'representative': 220, 'size': 1}
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id: 112326911
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 395, 'group_counter': 4, 'group_order': 1089, 'label': '99A-20', 'order': 99, 'powers': [419, 144, 371, 7], 'representative': 869, 'size': 1}
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id: 112326912
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 396, 'group_counter': 4, 'group_order': 1089, 'label': '99A23', 'order': 99, 'powers': [424, 143, 388, 9], 'representative': 253, 'size': 1}
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id: 112326913
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 397, 'group_counter': 4, 'group_order': 1089, 'label': '99A-23', 'order': 99, 'powers': [425, 142, 389, 8], 'representative': 836, 'size': 1}
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id: 112326914
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 398, 'group_counter': 4, 'group_order': 1089, 'label': '99A25', 'order': 99, 'powers': [429, 141, 400, 7], 'representative': 275, 'size': 1}
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id: 112326915
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 399, 'group_counter': 4, 'group_order': 1089, 'label': '99A-25', 'order': 99, 'powers': [428, 140, 401, 6], 'representative': 814, 'size': 1}
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id: 112326918
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 400, 'group_counter': 4, 'group_order': 1089, 'label': '99A26', 'order': 99, 'powers': [427, 139, 406, 5], 'representative': 286, 'size': 1}
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id: 112326919
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 401, 'group_counter': 4, 'group_order': 1089, 'label': '99A-26', 'order': 99, 'powers': [426, 138, 407, 4], 'representative': 803, 'size': 1}
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id: 112326920
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 402, 'group_counter': 4, 'group_order': 1089, 'label': '99A28', 'order': 99, 'powers': [423, 137, 420, 4], 'representative': 308, 'size': 1}
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id: 112326921
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 403, 'group_counter': 4, 'group_order': 1089, 'label': '99A-28', 'order': 99, 'powers': [422, 136, 421, 5], 'representative': 781, 'size': 1}
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id: 112326922
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 404, 'group_counter': 4, 'group_order': 1089, 'label': '99A29', 'order': 99, 'powers': [421, 135, 424, 6], 'representative': 319, 'size': 1}
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id: 112326923
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 405, 'group_counter': 4, 'group_order': 1089, 'label': '99A-29', 'order': 99, 'powers': [420, 134, 425, 7], 'representative': 770, 'size': 1}
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id: 112326924
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 406, 'group_counter': 4, 'group_order': 1089, 'label': '99A31', 'order': 99, 'powers': [415, 133, 423, 8], 'representative': 341, 'size': 1}
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id: 112326925
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 407, 'group_counter': 4, 'group_order': 1089, 'label': '99A-31', 'order': 99, 'powers': [414, 132, 422, 9], 'representative': 748, 'size': 1}
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id: 112326926
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 408, 'group_counter': 4, 'group_order': 1089, 'label': '99A32', 'order': 99, 'powers': [413, 131, 417, 9], 'representative': 352, 'size': 1}
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id: 112326927
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 409, 'group_counter': 4, 'group_order': 1089, 'label': '99A-32', 'order': 99, 'powers': [412, 130, 416, 8], 'representative': 737, 'size': 1}
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id: 112326929
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 410, 'group_counter': 4, 'group_order': 1089, 'label': '99A34', 'order': 99, 'powers': [407, 130, 403, 7], 'representative': 374, 'size': 1}
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id: 112326930
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 411, 'group_counter': 4, 'group_order': 1089, 'label': '99A-34', 'order': 99, 'powers': [406, 131, 402, 6], 'representative': 715, 'size': 1}
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id: 112326931
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 412, 'group_counter': 4, 'group_order': 1089, 'label': '99A35', 'order': 99, 'powers': [405, 132, 397, 5], 'representative': 385, 'size': 1}
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id: 112326932
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id: 112326933
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 414, 'group_counter': 4, 'group_order': 1089, 'label': '99A37', 'order': 99, 'powers': [399, 134, 385, 4], 'representative': 407, 'size': 1}
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id: 112326934
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 415, 'group_counter': 4, 'group_order': 1089, 'label': '99A-37', 'order': 99, 'powers': [398, 135, 384, 5], 'representative': 682, 'size': 1}
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id: 112326935
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 416, 'group_counter': 4, 'group_order': 1089, 'label': '99A38', 'order': 99, 'powers': [397, 136, 381, 6], 'representative': 418, 'size': 1}
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id: 112326936
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 417, 'group_counter': 4, 'group_order': 1089, 'label': '99A-38', 'order': 99, 'powers': [396, 137, 380, 7], 'representative': 671, 'size': 1}
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id: 112326937
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 418, 'group_counter': 4, 'group_order': 1089, 'label': '99A40', 'order': 99, 'powers': [393, 138, 372, 8], 'representative': 440, 'size': 1}
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id: 112326938
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 419, 'group_counter': 4, 'group_order': 1089, 'label': '99A-40', 'order': 99, 'powers': [392, 139, 373, 9], 'representative': 649, 'size': 1}
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id: 112326940
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 420, 'group_counter': 4, 'group_order': 1089, 'label': '99A41', 'order': 99, 'powers': [391, 140, 378, 9], 'representative': 451, 'size': 1}
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id: 112326941
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 421, 'group_counter': 4, 'group_order': 1089, 'label': '99A-41', 'order': 99, 'powers': [390, 141, 379, 8], 'representative': 638, 'size': 1}
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id: 112326942
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 422, 'group_counter': 4, 'group_order': 1089, 'label': '99A43', 'order': 99, 'powers': [385, 142, 390, 7], 'representative': 473, 'size': 1}
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id: 112326943
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 423, 'group_counter': 4, 'group_order': 1089, 'label': '99A-43', 'order': 99, 'powers': [384, 143, 391, 6], 'representative': 616, 'size': 1}
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id: 112326944
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 424, 'group_counter': 4, 'group_order': 1089, 'label': '99A46', 'order': 99, 'powers': [379, 144, 408, 4], 'representative': 506, 'size': 1}
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id: 112326945
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 425, 'group_counter': 4, 'group_order': 1089, 'label': '99A-46', 'order': 99, 'powers': [378, 145, 409, 5], 'representative': 583, 'size': 1}
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id: 112326946
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 426, 'group_counter': 4, 'group_order': 1089, 'label': '99A47', 'order': 99, 'powers': [377, 146, 414, 6], 'representative': 517, 'size': 1}
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id: 112326947
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 427, 'group_counter': 4, 'group_order': 1089, 'label': '99A-47', 'order': 99, 'powers': [376, 147, 415, 7], 'representative': 572, 'size': 1}
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id: 112326948
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 428, 'group_counter': 4, 'group_order': 1089, 'label': '99A49', 'order': 99, 'powers': [371, 148, 426, 8], 'representative': 539, 'size': 1}
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id: 112326949
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 429, 'group_counter': 4, 'group_order': 1089, 'label': '99A-49', 'order': 99, 'powers': [370, 149, 427, 9], 'representative': 550, 'size': 1}
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id: 112326951
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 430, 'group_counter': 4, 'group_order': 1089, 'label': '99B1', 'order': 99, 'powers': [432, 150, 436, 4], 'representative': 12, 'size': 1}
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id: 112326952
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 431, 'group_counter': 4, 'group_order': 1089, 'label': '99B-1', 'order': 99, 'powers': [433, 151, 437, 5], 'representative': 1088, 'size': 1}
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id: 112326953
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 432, 'group_counter': 4, 'group_order': 1089, 'label': '99B2', 'order': 99, 'powers': [434, 152, 442, 6], 'representative': 24, 'size': 1}
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id: 112326954
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 433, 'group_counter': 4, 'group_order': 1089, 'label': '99B-2', 'order': 99, 'powers': [435, 153, 443, 7], 'representative': 1076, 'size': 1}
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id: 112326955
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 434, 'group_counter': 4, 'group_order': 1089, 'label': '99B4', 'order': 99, 'powers': [440, 154, 454, 8], 'representative': 48, 'size': 1}
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id: 112326956
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 435, 'group_counter': 4, 'group_order': 1089, 'label': '99B-4', 'order': 99, 'powers': [441, 155, 455, 9], 'representative': 1052, 'size': 1}
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id: 112326957
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 436, 'group_counter': 4, 'group_order': 1089, 'label': '99B5', 'order': 99, 'powers': [442, 156, 458, 9], 'representative': 60, 'size': 1}
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id: 112326958
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 437, 'group_counter': 4, 'group_order': 1089, 'label': '99B-5', 'order': 99, 'powers': [443, 157, 459, 8], 'representative': 1040, 'size': 1}
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id: 112326959
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 438, 'group_counter': 4, 'group_order': 1089, 'label': '99B7', 'order': 99, 'powers': [446, 158, 472, 7], 'representative': 84, 'size': 1}
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id: 112326960
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 439, 'group_counter': 4, 'group_order': 1089, 'label': '99B-7', 'order': 99, 'powers': [447, 159, 473, 6], 'representative': 1016, 'size': 1}
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id: 112326962
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 440, 'group_counter': 4, 'group_order': 1089, 'label': '99B8', 'order': 99, 'powers': [448, 160, 478, 5], 'representative': 96, 'size': 1}
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id: 112326963
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 441, 'group_counter': 4, 'group_order': 1089, 'label': '99B-8', 'order': 99, 'powers': [449, 161, 479, 4], 'representative': 1004, 'size': 1}
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id: 112326964
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 442, 'group_counter': 4, 'group_order': 1089, 'label': '99B10', 'order': 99, 'powers': [454, 162, 489, 4], 'representative': 120, 'size': 1}
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id: 112326965
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 443, 'group_counter': 4, 'group_order': 1089, 'label': '99B-10', 'order': 99, 'powers': [455, 163, 488, 5], 'representative': 980, 'size': 1}
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id: 112326966
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 444, 'group_counter': 4, 'group_order': 1089, 'label': '99B13', 'order': 99, 'powers': [460, 164, 471, 8], 'representative': 145, 'size': 1}
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id: 112326967
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 445, 'group_counter': 4, 'group_order': 1089, 'label': '99B-13', 'order': 99, 'powers': [461, 165, 470, 9], 'representative': 955, 'size': 1}
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id: 112326968
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 446, 'group_counter': 4, 'group_order': 1089, 'label': '99B14', 'order': 99, 'powers': [462, 166, 465, 9], 'representative': 157, 'size': 1}
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id: 112326969
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 447, 'group_counter': 4, 'group_order': 1089, 'label': '99B-14', 'order': 99, 'powers': [463, 167, 464, 8], 'representative': 943, 'size': 1}
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id: 112326970
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 448, 'group_counter': 4, 'group_order': 1089, 'label': '99B16', 'order': 99, 'powers': [468, 168, 453, 7], 'representative': 181, 'size': 1}
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id: 112326971
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 449, 'group_counter': 4, 'group_order': 1089, 'label': '99B-16', 'order': 99, 'powers': [469, 169, 452, 6], 'representative': 919, 'size': 1}
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id: 112326973
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 450, 'group_counter': 4, 'group_order': 1089, 'label': '99B17', 'order': 99, 'powers': [470, 169, 447, 5], 'representative': 193, 'size': 1}
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id: 112326974
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 451, 'group_counter': 4, 'group_order': 1089, 'label': '99B-17', 'order': 99, 'powers': [471, 168, 446, 4], 'representative': 907, 'size': 1}
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id: 112326975
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 452, 'group_counter': 4, 'group_order': 1089, 'label': '99B19', 'order': 99, 'powers': [476, 167, 435, 4], 'representative': 217, 'size': 1}
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id: 112326976
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 453, 'group_counter': 4, 'group_order': 1089, 'label': '99B-19', 'order': 99, 'powers': [477, 166, 434, 5], 'representative': 883, 'size': 1}
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id: 112326977
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 454, 'group_counter': 4, 'group_order': 1089, 'label': '99B20', 'order': 99, 'powers': [478, 165, 430, 6], 'representative': 229, 'size': 1}
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id: 112326978
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 455, 'group_counter': 4, 'group_order': 1089, 'label': '99B-20', 'order': 99, 'powers': [479, 164, 431, 7], 'representative': 871, 'size': 1}
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id: 112326979
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 456, 'group_counter': 4, 'group_order': 1089, 'label': '99B23', 'order': 99, 'powers': [484, 163, 448, 9], 'representative': 254, 'size': 1}
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id: 112326980
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 457, 'group_counter': 4, 'group_order': 1089, 'label': '99B-23', 'order': 99, 'powers': [485, 162, 449, 8], 'representative': 846, 'size': 1}
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id: 112326981
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 458, 'group_counter': 4, 'group_order': 1089, 'label': '99B25', 'order': 99, 'powers': [489, 161, 460, 7], 'representative': 278, 'size': 1}
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id: 112326982
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 459, 'group_counter': 4, 'group_order': 1089, 'label': '99B-25', 'order': 99, 'powers': [488, 160, 461, 6], 'representative': 822, 'size': 1}
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id: 112326984
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 460, 'group_counter': 4, 'group_order': 1089, 'label': '99B26', 'order': 99, 'powers': [487, 159, 466, 5], 'representative': 290, 'size': 1}
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id: 112326985
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 461, 'group_counter': 4, 'group_order': 1089, 'label': '99B-26', 'order': 99, 'powers': [486, 158, 467, 4], 'representative': 810, 'size': 1}
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id: 112326986
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 462, 'group_counter': 4, 'group_order': 1089, 'label': '99B28', 'order': 99, 'powers': [483, 157, 480, 4], 'representative': 314, 'size': 1}
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id: 112326987
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 463, 'group_counter': 4, 'group_order': 1089, 'label': '99B-28', 'order': 99, 'powers': [482, 156, 481, 5], 'representative': 786, 'size': 1}
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id: 112326988
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 464, 'group_counter': 4, 'group_order': 1089, 'label': '99B29', 'order': 99, 'powers': [481, 155, 484, 6], 'representative': 326, 'size': 1}
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id: 112326989
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 465, 'group_counter': 4, 'group_order': 1089, 'label': '99B-29', 'order': 99, 'powers': [480, 154, 485, 7], 'representative': 774, 'size': 1}
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id: 112326990
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 466, 'group_counter': 4, 'group_order': 1089, 'label': '99B31', 'order': 99, 'powers': [475, 153, 483, 8], 'representative': 350, 'size': 1}
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id: 112326991
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 467, 'group_counter': 4, 'group_order': 1089, 'label': '99B-31', 'order': 99, 'powers': [474, 152, 482, 9], 'representative': 750, 'size': 1}
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id: 112326992
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 468, 'group_counter': 4, 'group_order': 1089, 'label': '99B32', 'order': 99, 'powers': [473, 151, 477, 9], 'representative': 362, 'size': 1}
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id: 112326993
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 469, 'group_counter': 4, 'group_order': 1089, 'label': '99B-32', 'order': 99, 'powers': [472, 150, 476, 8], 'representative': 738, 'size': 1}
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id: 112326995
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 470, 'group_counter': 4, 'group_order': 1089, 'label': '99B34', 'order': 99, 'powers': [467, 150, 463, 7], 'representative': 375, 'size': 1}
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id: 112326996
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 471, 'group_counter': 4, 'group_order': 1089, 'label': '99B-34', 'order': 99, 'powers': [466, 151, 462, 6], 'representative': 725, 'size': 1}
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id: 112326997
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 472, 'group_counter': 4, 'group_order': 1089, 'label': '99B35', 'order': 99, 'powers': [465, 152, 457, 5], 'representative': 387, 'size': 1}
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id: 112326998
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 473, 'group_counter': 4, 'group_order': 1089, 'label': '99B-35', 'order': 99, 'powers': [464, 153, 456, 4], 'representative': 713, 'size': 1}
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id: 112326999
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 474, 'group_counter': 4, 'group_order': 1089, 'label': '99B37', 'order': 99, 'powers': [459, 154, 445, 4], 'representative': 411, 'size': 1}
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id: 112327000
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 475, 'group_counter': 4, 'group_order': 1089, 'label': '99B-37', 'order': 99, 'powers': [458, 155, 444, 5], 'representative': 689, 'size': 1}
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id: 112327001
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 476, 'group_counter': 4, 'group_order': 1089, 'label': '99B38', 'order': 99, 'powers': [457, 156, 441, 6], 'representative': 423, 'size': 1}
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id: 112327002
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 477, 'group_counter': 4, 'group_order': 1089, 'label': '99B-38', 'order': 99, 'powers': [456, 157, 440, 7], 'representative': 677, 'size': 1}
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id: 112327003
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 478, 'group_counter': 4, 'group_order': 1089, 'label': '99B40', 'order': 99, 'powers': [453, 158, 432, 8], 'representative': 447, 'size': 1}
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id: 112327004
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 479, 'group_counter': 4, 'group_order': 1089, 'label': '99B-40', 'order': 99, 'powers': [452, 159, 433, 9], 'representative': 653, 'size': 1}
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id: 112327006
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 480, 'group_counter': 4, 'group_order': 1089, 'label': '99B41', 'order': 99, 'powers': [451, 160, 438, 9], 'representative': 459, 'size': 1}
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id: 112327007
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 481, 'group_counter': 4, 'group_order': 1089, 'label': '99B-41', 'order': 99, 'powers': [450, 161, 439, 8], 'representative': 641, 'size': 1}
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id: 112327008
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 482, 'group_counter': 4, 'group_order': 1089, 'label': '99B43', 'order': 99, 'powers': [445, 162, 450, 7], 'representative': 483, 'size': 1}
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id: 112327009
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 483, 'group_counter': 4, 'group_order': 1089, 'label': '99B-43', 'order': 99, 'powers': [444, 163, 451, 6], 'representative': 617, 'size': 1}
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id: 112327010
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 484, 'group_counter': 4, 'group_order': 1089, 'label': '99B46', 'order': 99, 'powers': [439, 164, 468, 4], 'representative': 508, 'size': 1}
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id: 112327011
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 485, 'group_counter': 4, 'group_order': 1089, 'label': '99B-46', 'order': 99, 'powers': [438, 165, 469, 5], 'representative': 592, 'size': 1}
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id: 112327012
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 486, 'group_counter': 4, 'group_order': 1089, 'label': '99B47', 'order': 99, 'powers': [437, 166, 474, 6], 'representative': 520, 'size': 1}
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id: 112327013
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 487, 'group_counter': 4, 'group_order': 1089, 'label': '99B-47', 'order': 99, 'powers': [436, 167, 475, 7], 'representative': 580, 'size': 1}
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id: 112327014
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 488, 'group_counter': 4, 'group_order': 1089, 'label': '99B49', 'order': 99, 'powers': [431, 168, 486, 8], 'representative': 544, 'size': 1}
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id: 112327015
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 489, 'group_counter': 4, 'group_order': 1089, 'label': '99B-49', 'order': 99, 'powers': [430, 169, 487, 9], 'representative': 556, 'size': 1}
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id: 112327017
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 490, 'group_counter': 4, 'group_order': 1089, 'label': '99C1', 'order': 99, 'powers': [492, 170, 496, 6], 'representative': 23, 'size': 1}
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id: 112327018
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 491, 'group_counter': 4, 'group_order': 1089, 'label': '99C-1', 'order': 99, 'powers': [493, 171, 497, 7], 'representative': 1077, 'size': 1}
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id: 112327019
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 492, 'group_counter': 4, 'group_order': 1089, 'label': '99C2', 'order': 99, 'powers': [494, 172, 502, 8], 'representative': 46, 'size': 1}
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id: 112327020
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 493, 'group_counter': 4, 'group_order': 1089, 'label': '99C-2', 'order': 99, 'powers': [495, 173, 503, 9], 'representative': 1054, 'size': 1}
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id: 112327021
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 494, 'group_counter': 4, 'group_order': 1089, 'label': '99C4', 'order': 99, 'powers': [500, 174, 514, 5], 'representative': 92, 'size': 1}
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id: 112327022
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 495, 'group_counter': 4, 'group_order': 1089, 'label': '99C-4', 'order': 99, 'powers': [501, 175, 515, 4], 'representative': 1008, 'size': 1}
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id: 112327023
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 496, 'group_counter': 4, 'group_order': 1089, 'label': '99C5', 'order': 99, 'powers': [502, 176, 518, 4], 'representative': 115, 'size': 1}
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id: 112327024
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 497, 'group_counter': 4, 'group_order': 1089, 'label': '99C-5', 'order': 99, 'powers': [503, 177, 519, 5], 'representative': 985, 'size': 1}
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id: 112327025
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 498, 'group_counter': 4, 'group_order': 1089, 'label': '99C7', 'order': 99, 'powers': [506, 178, 532, 9], 'representative': 161, 'size': 1}
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id: 112327026
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 499, 'group_counter': 4, 'group_order': 1089, 'label': '99C-7', 'order': 99, 'powers': [507, 179, 533, 8], 'representative': 939, 'size': 1}
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id: 112327029
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 500, 'group_counter': 4, 'group_order': 1089, 'label': '99C8', 'order': 99, 'powers': [508, 180, 538, 7], 'representative': 184, 'size': 1}
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id: 112327030
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id: 112327031
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id: 112327032
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id: 112327033
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id: 112327034
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id: 112327035
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id: 112327036
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id: 112327037
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id: 112327038
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id: 112327040
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id: 112327041
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id: 112327042
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id: 112327043
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id: 112327044
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id: 112327045
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id: 112327046
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id: 112327047
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 517, 'group_counter': 4, 'group_order': 1089, 'label': '99C-23', 'order': 99, 'powers': [545, 182, 509, 5], 'representative': 593, 'size': 1}
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id: 112327048
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 518, 'group_counter': 4, 'group_order': 1089, 'label': '99C25', 'order': 99, 'powers': [549, 181, 520, 9], 'representative': 553, 'size': 1}
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id: 112327049
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id: 112327051
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id: 112327052
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id: 112327053
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 522, 'group_counter': 4, 'group_order': 1089, 'label': '99C28', 'order': 99, 'powers': [543, 177, 540, 6], 'representative': 622, 'size': 1}
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id: 112327054
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id: 112327055
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 524, 'group_counter': 4, 'group_order': 1089, 'label': '99C29', 'order': 99, 'powers': [541, 175, 544, 8], 'representative': 645, 'size': 1}
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id: 112327056
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 525, 'group_counter': 4, 'group_order': 1089, 'label': '99C-29', 'order': 99, 'powers': [540, 174, 545, 9], 'representative': 455, 'size': 1}
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id: 112327057
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 526, 'group_counter': 4, 'group_order': 1089, 'label': '99C31', 'order': 99, 'powers': [535, 173, 543, 5], 'representative': 691, 'size': 1}
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id: 112327058
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 527, 'group_counter': 4, 'group_order': 1089, 'label': '99C-31', 'order': 99, 'powers': [534, 172, 542, 4], 'representative': 409, 'size': 1}
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id: 112327059
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 528, 'group_counter': 4, 'group_order': 1089, 'label': '99C32', 'order': 99, 'powers': [533, 171, 537, 4], 'representative': 714, 'size': 1}
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id: 112327060
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 529, 'group_counter': 4, 'group_order': 1089, 'label': '99C-32', 'order': 99, 'powers': [532, 170, 536, 5], 'representative': 386, 'size': 1}
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id: 112327062
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 530, 'group_counter': 4, 'group_order': 1089, 'label': '99C34', 'order': 99, 'powers': [527, 170, 523, 9], 'representative': 749, 'size': 1}
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id: 112327063
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 531, 'group_counter': 4, 'group_order': 1089, 'label': '99C-34', 'order': 99, 'powers': [526, 171, 522, 8], 'representative': 351, 'size': 1}
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id: 112327064
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 532, 'group_counter': 4, 'group_order': 1089, 'label': '99C35', 'order': 99, 'powers': [525, 172, 517, 7], 'representative': 772, 'size': 1}
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id: 112327065
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id: 112327066
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 534, 'group_counter': 4, 'group_order': 1089, 'label': '99C37', 'order': 99, 'powers': [519, 174, 505, 6], 'representative': 818, 'size': 1}
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id: 112327067
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 535, 'group_counter': 4, 'group_order': 1089, 'label': '99C-37', 'order': 99, 'powers': [518, 175, 504, 7], 'representative': 282, 'size': 1}
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id: 112327068
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 536, 'group_counter': 4, 'group_order': 1089, 'label': '99C38', 'order': 99, 'powers': [517, 176, 501, 8], 'representative': 841, 'size': 1}
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id: 112327069
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id: 112327070
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 538, 'group_counter': 4, 'group_order': 1089, 'label': '99C40', 'order': 99, 'powers': [513, 178, 492, 5], 'representative': 887, 'size': 1}
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id: 112327071
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 539, 'group_counter': 4, 'group_order': 1089, 'label': '99C-40', 'order': 99, 'powers': [512, 179, 493, 4], 'representative': 213, 'size': 1}
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id: 112327073
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 540, 'group_counter': 4, 'group_order': 1089, 'label': '99C41', 'order': 99, 'powers': [511, 180, 498, 4], 'representative': 910, 'size': 1}
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id: 112327074
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 541, 'group_counter': 4, 'group_order': 1089, 'label': '99C-41', 'order': 99, 'powers': [510, 181, 499, 5], 'representative': 190, 'size': 1}
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id: 112327075
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 542, 'group_counter': 4, 'group_order': 1089, 'label': '99C43', 'order': 99, 'powers': [505, 182, 510, 9], 'representative': 956, 'size': 1}
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id: 112327076
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 543, 'group_counter': 4, 'group_order': 1089, 'label': '99C-43', 'order': 99, 'powers': [504, 183, 511, 8], 'representative': 144, 'size': 1}
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id: 112327077
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 544, 'group_counter': 4, 'group_order': 1089, 'label': '99C46', 'order': 99, 'powers': [499, 184, 528, 6], 'representative': 1014, 'size': 1}
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id: 112327078
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 545, 'group_counter': 4, 'group_order': 1089, 'label': '99C-46', 'order': 99, 'powers': [498, 185, 529, 7], 'representative': 86, 'size': 1}
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id: 112327079
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 546, 'group_counter': 4, 'group_order': 1089, 'label': '99C47', 'order': 99, 'powers': [497, 186, 534, 8], 'representative': 1037, 'size': 1}
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id: 112327080
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 547, 'group_counter': 4, 'group_order': 1089, 'label': '99C-47', 'order': 99, 'powers': [496, 187, 535, 9], 'representative': 63, 'size': 1}
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id: 112327081
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 548, 'group_counter': 4, 'group_order': 1089, 'label': '99C49', 'order': 99, 'powers': [491, 188, 546, 5], 'representative': 1083, 'size': 1}
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id: 112327082
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 549, 'group_counter': 4, 'group_order': 1089, 'label': '99C-49', 'order': 99, 'powers': [490, 189, 547, 4], 'representative': 17, 'size': 1}
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id: 112327084
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 550, 'group_counter': 4, 'group_order': 1089, 'label': '99D1', 'order': 99, 'powers': [552, 190, 556, 4], 'representative': 13, 'size': 1}
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id: 112327085
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 551, 'group_counter': 4, 'group_order': 1089, 'label': '99D-1', 'order': 99, 'powers': [553, 191, 557, 5], 'representative': 1087, 'size': 1}
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id: 112327086
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 552, 'group_counter': 4, 'group_order': 1089, 'label': '99D2', 'order': 99, 'powers': [554, 192, 562, 6], 'representative': 26, 'size': 1}
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id: 112327087
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id: 112327088
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 554, 'group_counter': 4, 'group_order': 1089, 'label': '99D4', 'order': 99, 'powers': [560, 194, 574, 8], 'representative': 52, 'size': 1}
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id: 112327089
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 555, 'group_counter': 4, 'group_order': 1089, 'label': '99D-4', 'order': 99, 'powers': [561, 195, 575, 9], 'representative': 1048, 'size': 1}
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id: 112327090
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 556, 'group_counter': 4, 'group_order': 1089, 'label': '99D5', 'order': 99, 'powers': [562, 196, 578, 9], 'representative': 65, 'size': 1}
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id: 112327091
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 557, 'group_counter': 4, 'group_order': 1089, 'label': '99D-5', 'order': 99, 'powers': [563, 197, 579, 8], 'representative': 1035, 'size': 1}
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id: 112327092
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 558, 'group_counter': 4, 'group_order': 1089, 'label': '99D7', 'order': 99, 'powers': [566, 198, 592, 7], 'representative': 80, 'size': 1}
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id: 112327093
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 559, 'group_counter': 4, 'group_order': 1089, 'label': '99D-7', 'order': 99, 'powers': [567, 199, 593, 6], 'representative': 1020, 'size': 1}
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id: 112327095
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 560, 'group_counter': 4, 'group_order': 1089, 'label': '99D8', 'order': 99, 'powers': [568, 200, 598, 5], 'representative': 93, 'size': 1}
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id: 112327096
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 561, 'group_counter': 4, 'group_order': 1089, 'label': '99D-8', 'order': 99, 'powers': [569, 201, 599, 4], 'representative': 1007, 'size': 1}
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id: 112327097
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 562, 'group_counter': 4, 'group_order': 1089, 'label': '99D10', 'order': 99, 'powers': [574, 202, 609, 4], 'representative': 119, 'size': 1}
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id: 112327098
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 563, 'group_counter': 4, 'group_order': 1089, 'label': '99D-10', 'order': 99, 'powers': [575, 203, 608, 5], 'representative': 981, 'size': 1}
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id: 112327099
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 564, 'group_counter': 4, 'group_order': 1089, 'label': '99D13', 'order': 99, 'powers': [580, 204, 591, 8], 'representative': 147, 'size': 1}
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id: 112327100
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 565, 'group_counter': 4, 'group_order': 1089, 'label': '99D-13', 'order': 99, 'powers': [581, 205, 590, 9], 'representative': 953, 'size': 1}
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id: 112327101
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 566, 'group_counter': 4, 'group_order': 1089, 'label': '99D14', 'order': 99, 'powers': [582, 206, 585, 9], 'representative': 160, 'size': 1}
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id: 112327102
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 567, 'group_counter': 4, 'group_order': 1089, 'label': '99D-14', 'order': 99, 'powers': [583, 207, 584, 8], 'representative': 940, 'size': 1}
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id: 112327103
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 568, 'group_counter': 4, 'group_order': 1089, 'label': '99D16', 'order': 99, 'powers': [588, 208, 573, 7], 'representative': 186, 'size': 1}
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id: 112327104
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 569, 'group_counter': 4, 'group_order': 1089, 'label': '99D-16', 'order': 99, 'powers': [589, 209, 572, 6], 'representative': 914, 'size': 1}
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id: 112327106
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 570, 'group_counter': 4, 'group_order': 1089, 'label': '99D17', 'order': 99, 'powers': [590, 209, 567, 5], 'representative': 188, 'size': 1}
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id: 112327107
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 571, 'group_counter': 4, 'group_order': 1089, 'label': '99D-17', 'order': 99, 'powers': [591, 208, 566, 4], 'representative': 912, 'size': 1}
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id: 112327108
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 572, 'group_counter': 4, 'group_order': 1089, 'label': '99D19', 'order': 99, 'powers': [596, 207, 555, 4], 'representative': 214, 'size': 1}
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id: 112327109
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 573, 'group_counter': 4, 'group_order': 1089, 'label': '99D-19', 'order': 99, 'powers': [597, 206, 554, 5], 'representative': 886, 'size': 1}
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id: 112327110
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 574, 'group_counter': 4, 'group_order': 1089, 'label': '99D20', 'order': 99, 'powers': [598, 205, 550, 6], 'representative': 227, 'size': 1}
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id: 112327111
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 575, 'group_counter': 4, 'group_order': 1089, 'label': '99D-20', 'order': 99, 'powers': [599, 204, 551, 7], 'representative': 873, 'size': 1}
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id: 112327112
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 576, 'group_counter': 4, 'group_order': 1089, 'label': '99D23', 'order': 99, 'powers': [604, 203, 568, 9], 'representative': 255, 'size': 1}
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id: 112327113
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 577, 'group_counter': 4, 'group_order': 1089, 'label': '99D-23', 'order': 99, 'powers': [605, 202, 569, 8], 'representative': 845, 'size': 1}
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id: 112327114
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 578, 'group_counter': 4, 'group_order': 1089, 'label': '99D25', 'order': 99, 'powers': [609, 201, 580, 7], 'representative': 281, 'size': 1}
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id: 112327115
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 579, 'group_counter': 4, 'group_order': 1089, 'label': '99D-25', 'order': 99, 'powers': [608, 200, 581, 6], 'representative': 819, 'size': 1}
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id: 112327117
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 580, 'group_counter': 4, 'group_order': 1089, 'label': '99D26', 'order': 99, 'powers': [607, 199, 586, 5], 'representative': 294, 'size': 1}
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id: 112327118
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 581, 'group_counter': 4, 'group_order': 1089, 'label': '99D-26', 'order': 99, 'powers': [606, 198, 587, 4], 'representative': 806, 'size': 1}
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id: 112327119
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 582, 'group_counter': 4, 'group_order': 1089, 'label': '99D28', 'order': 99, 'powers': [603, 197, 600, 4], 'representative': 309, 'size': 1}
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id: 112327120
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 583, 'group_counter': 4, 'group_order': 1089, 'label': '99D-28', 'order': 99, 'powers': [602, 196, 601, 5], 'representative': 791, 'size': 1}
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id: 112327121
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 584, 'group_counter': 4, 'group_order': 1089, 'label': '99D29', 'order': 99, 'powers': [601, 195, 604, 6], 'representative': 322, 'size': 1}
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id: 112327122
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 585, 'group_counter': 4, 'group_order': 1089, 'label': '99D-29', 'order': 99, 'powers': [600, 194, 605, 7], 'representative': 778, 'size': 1}
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id: 112327123
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 586, 'group_counter': 4, 'group_order': 1089, 'label': '99D31', 'order': 99, 'powers': [595, 193, 603, 8], 'representative': 348, 'size': 1}
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id: 112327124
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 587, 'group_counter': 4, 'group_order': 1089, 'label': '99D-31', 'order': 99, 'powers': [594, 192, 602, 9], 'representative': 752, 'size': 1}
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id: 112327125
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id: 112327267
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id: 112327269
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id: 112327274
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id: 112327275
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id: 112327276
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id: 112327277
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id: 112327278
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id: 112327280
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id: 112327282
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id: 112327285
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id: 112327286
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id: 112327287
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id: 112327288
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id: 112327289
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id: 112327290
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id: 112327291
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id: 112327292
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id: 112327293
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id: 112327295
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id: 112327296
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id: 112327300
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id: 112327301
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id: 112327302
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id: 112327303
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id: 112327304
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id: 112327306
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id: 112327307
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id: 112327308
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id: 112327309
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id: 112327310
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id: 112327311
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id: 112327312
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id: 112327313
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id: 112327314
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id: 112327315
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id: 112327317
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id: 112327318
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id: 112327411
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id: 112327515
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id: 112327518
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id: 112327519
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id: 112327520
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id: 112327521
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id: 112327522
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id: 112327524
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id: 112327525
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id: 112327526
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id: 112327528
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id: 112327529
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id: 112327530
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id: 112327531
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id: 112327532
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id: 112327533
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id: 112327534
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id: 112327535
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id: 112327536
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id: 112327537
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id: 112327539
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id: 112327540
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id: 112327541
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id: 112327542
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id: 112327543
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 964, 'group_counter': 4, 'group_order': 1089, 'label': '99J46', 'order': 99, 'powers': [919, 324, 948, 6], 'representative': 1015, 'size': 1}
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id: 112327544
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id: 112327545
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 966, 'group_counter': 4, 'group_order': 1089, 'label': '99J47', 'order': 99, 'powers': [917, 326, 954, 8], 'representative': 1044, 'size': 1}
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id: 112327546
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 967, 'group_counter': 4, 'group_order': 1089, 'label': '99J-47', 'order': 99, 'powers': [916, 327, 955, 9], 'representative': 56, 'size': 1}
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id: 112327547
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 968, 'group_counter': 4, 'group_order': 1089, 'label': '99J49', 'order': 99, 'powers': [911, 328, 966, 5], 'representative': 1080, 'size': 1}
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id: 112327548
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 969, 'group_counter': 4, 'group_order': 1089, 'label': '99J-49', 'order': 99, 'powers': [910, 329, 967, 4], 'representative': 20, 'size': 1}
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id: 112327550
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id: 112327551
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 971, 'group_counter': 4, 'group_order': 1089, 'label': '99K-1', 'order': 99, 'powers': [973, 331, 977, 7], 'representative': 1069, 'size': 1}
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id: 112327552
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 972, 'group_counter': 4, 'group_order': 1089, 'label': '99K2', 'order': 99, 'powers': [974, 332, 982, 8], 'representative': 51, 'size': 1}
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id: 112327553
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 973, 'group_counter': 4, 'group_order': 1089, 'label': '99K-2', 'order': 99, 'powers': [975, 333, 983, 9], 'representative': 1049, 'size': 1}
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id: 112327554
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 974, 'group_counter': 4, 'group_order': 1089, 'label': '99K4', 'order': 99, 'powers': [980, 334, 994, 5], 'representative': 91, 'size': 1}
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id: 112327555
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 975, 'group_counter': 4, 'group_order': 1089, 'label': '99K-4', 'order': 99, 'powers': [981, 335, 995, 4], 'representative': 1009, 'size': 1}
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id: 112327556
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id: 112327557
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 977, 'group_counter': 4, 'group_order': 1089, 'label': '99K-5', 'order': 99, 'powers': [983, 337, 999, 5], 'representative': 989, 'size': 1}
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id: 112327558
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 978, 'group_counter': 4, 'group_order': 1089, 'label': '99K7', 'order': 99, 'powers': [986, 338, 1012, 9], 'representative': 162, 'size': 1}
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id: 112327559
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 979, 'group_counter': 4, 'group_order': 1089, 'label': '99K-7', 'order': 99, 'powers': [987, 339, 1013, 8], 'representative': 938, 'size': 1}
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id: 112327561
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 980, 'group_counter': 4, 'group_order': 1089, 'label': '99K8', 'order': 99, 'powers': [988, 340, 1018, 7], 'representative': 182, 'size': 1}
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id: 112327562
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 981, 'group_counter': 4, 'group_order': 1089, 'label': '99K-8', 'order': 99, 'powers': [989, 341, 1019, 6], 'representative': 918, 'size': 1}
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id: 112327563
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 982, 'group_counter': 4, 'group_order': 1089, 'label': '99K10', 'order': 99, 'powers': [994, 342, 1029, 6], 'representative': 222, 'size': 1}
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id: 112327564
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 983, 'group_counter': 4, 'group_order': 1089, 'label': '99K-10', 'order': 99, 'powers': [995, 343, 1028, 7], 'representative': 878, 'size': 1}
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id: 112327565
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 984, 'group_counter': 4, 'group_order': 1089, 'label': '99K13', 'order': 99, 'powers': [1000, 344, 1011, 5], 'representative': 293, 'size': 1}
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id: 112327566
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 985, 'group_counter': 4, 'group_order': 1089, 'label': '99K-13', 'order': 99, 'powers': [1001, 345, 1010, 4], 'representative': 807, 'size': 1}
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id: 112327567
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 986, 'group_counter': 4, 'group_order': 1089, 'label': '99K14', 'order': 99, 'powers': [1002, 346, 1005, 4], 'representative': 313, 'size': 1}
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id: 112327568
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 987, 'group_counter': 4, 'group_order': 1089, 'label': '99K-14', 'order': 99, 'powers': [1003, 347, 1004, 5], 'representative': 787, 'size': 1}
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id: 112327569
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 988, 'group_counter': 4, 'group_order': 1089, 'label': '99K16', 'order': 99, 'powers': [1008, 348, 993, 9], 'representative': 353, 'size': 1}
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id: 112327570
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 989, 'group_counter': 4, 'group_order': 1089, 'label': '99K-16', 'order': 99, 'powers': [1009, 349, 992, 8], 'representative': 747, 'size': 1}
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id: 112327572
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 990, 'group_counter': 4, 'group_order': 1089, 'label': '99K17', 'order': 99, 'powers': [1010, 349, 987, 7], 'representative': 384, 'size': 1}
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id: 112327573
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 991, 'group_counter': 4, 'group_order': 1089, 'label': '99K-17', 'order': 99, 'powers': [1011, 348, 986, 6], 'representative': 716, 'size': 1}
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id: 112327574
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 992, 'group_counter': 4, 'group_order': 1089, 'label': '99K19', 'order': 99, 'powers': [1016, 347, 975, 6], 'representative': 424, 'size': 1}
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id: 112327575
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 993, 'group_counter': 4, 'group_order': 1089, 'label': '99K-19', 'order': 99, 'powers': [1017, 346, 974, 7], 'representative': 676, 'size': 1}
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id: 112327576
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 994, 'group_counter': 4, 'group_order': 1089, 'label': '99K20', 'order': 99, 'powers': [1018, 345, 970, 8], 'representative': 444, 'size': 1}
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id: 112327577
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 995, 'group_counter': 4, 'group_order': 1089, 'label': '99K-20', 'order': 99, 'powers': [1019, 344, 971, 9], 'representative': 656, 'size': 1}
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id: 112327578
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 996, 'group_counter': 4, 'group_order': 1089, 'label': '99K23', 'order': 99, 'powers': [1024, 343, 988, 4], 'representative': 515, 'size': 1}
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id: 112327579
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 997, 'group_counter': 4, 'group_order': 1089, 'label': '99K-23', 'order': 99, 'powers': [1025, 342, 989, 5], 'representative': 585, 'size': 1}
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id: 112327580
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 998, 'group_counter': 4, 'group_order': 1089, 'label': '99K25', 'order': 99, 'powers': [1029, 341, 1000, 9], 'representative': 555, 'size': 1}
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id: 112327581
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 999, 'group_counter': 4, 'group_order': 1089, 'label': '99K-25', 'order': 99, 'powers': [1028, 340, 1001, 8], 'representative': 545, 'size': 1}
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id: 112326496
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1000, 'group_counter': 4, 'group_order': 1089, 'label': '99K26', 'order': 99, 'powers': [1027, 339, 1006, 7], 'representative': 575, 'size': 1}
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id: 112326497
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1001, 'group_counter': 4, 'group_order': 1089, 'label': '99K-26', 'order': 99, 'powers': [1026, 338, 1007, 6], 'representative': 525, 'size': 1}
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id: 112326498
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1002, 'group_counter': 4, 'group_order': 1089, 'label': '99K28', 'order': 99, 'powers': [1023, 337, 1020, 6], 'representative': 626, 'size': 1}
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id: 112326499
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1003, 'group_counter': 4, 'group_order': 1089, 'label': '99K-28', 'order': 99, 'powers': [1022, 336, 1021, 7], 'representative': 474, 'size': 1}
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id: 112326500
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1004, 'group_counter': 4, 'group_order': 1089, 'label': '99K29', 'order': 99, 'powers': [1021, 335, 1024, 8], 'representative': 646, 'size': 1}
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id: 112326501
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1005, 'group_counter': 4, 'group_order': 1089, 'label': '99K-29', 'order': 99, 'powers': [1020, 334, 1025, 9], 'representative': 454, 'size': 1}
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id: 112326502
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1006, 'group_counter': 4, 'group_order': 1089, 'label': '99K31', 'order': 99, 'powers': [1015, 333, 1023, 5], 'representative': 686, 'size': 1}
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id: 112326503
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1007, 'group_counter': 4, 'group_order': 1089, 'label': '99K-31', 'order': 99, 'powers': [1014, 332, 1022, 4], 'representative': 414, 'size': 1}
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id: 112326504
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1008, 'group_counter': 4, 'group_order': 1089, 'label': '99K32', 'order': 99, 'powers': [1013, 331, 1017, 4], 'representative': 706, 'size': 1}
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id: 112326505
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1009, 'group_counter': 4, 'group_order': 1089, 'label': '99K-32', 'order': 99, 'powers': [1012, 330, 1016, 5], 'representative': 394, 'size': 1}
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id: 112326507
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1010, 'group_counter': 4, 'group_order': 1089, 'label': '99K34', 'order': 99, 'powers': [1007, 330, 1003, 9], 'representative': 757, 'size': 1}
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id: 112326508
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1011, 'group_counter': 4, 'group_order': 1089, 'label': '99K-34', 'order': 99, 'powers': [1006, 331, 1002, 8], 'representative': 343, 'size': 1}
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id: 112326509
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1012, 'group_counter': 4, 'group_order': 1089, 'label': '99K35', 'order': 99, 'powers': [1005, 332, 997, 7], 'representative': 777, 'size': 1}
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id: 112326510
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1013, 'group_counter': 4, 'group_order': 1089, 'label': '99K-35', 'order': 99, 'powers': [1004, 333, 996, 6], 'representative': 323, 'size': 1}
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id: 112326511
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1014, 'group_counter': 4, 'group_order': 1089, 'label': '99K37', 'order': 99, 'powers': [999, 334, 985, 6], 'representative': 817, 'size': 1}
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id: 112326512
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1015, 'group_counter': 4, 'group_order': 1089, 'label': '99K-37', 'order': 99, 'powers': [998, 335, 984, 7], 'representative': 283, 'size': 1}
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id: 112326513
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1016, 'group_counter': 4, 'group_order': 1089, 'label': '99K38', 'order': 99, 'powers': [997, 336, 981, 8], 'representative': 837, 'size': 1}
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id: 112326514
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1017, 'group_counter': 4, 'group_order': 1089, 'label': '99K-38', 'order': 99, 'powers': [996, 337, 980, 9], 'representative': 263, 'size': 1}
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id: 112326515
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1018, 'group_counter': 4, 'group_order': 1089, 'label': '99K40', 'order': 99, 'powers': [993, 338, 972, 5], 'representative': 888, 'size': 1}
-
id: 112326516
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1019, 'group_counter': 4, 'group_order': 1089, 'label': '99K-40', 'order': 99, 'powers': [992, 339, 973, 4], 'representative': 212, 'size': 1}
-
id: 112326518
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1020, 'group_counter': 4, 'group_order': 1089, 'label': '99K41', 'order': 99, 'powers': [991, 340, 978, 4], 'representative': 908, 'size': 1}
-
id: 112326519
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1021, 'group_counter': 4, 'group_order': 1089, 'label': '99K-41', 'order': 99, 'powers': [990, 341, 979, 5], 'representative': 192, 'size': 1}
-
id: 112326520
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1022, 'group_counter': 4, 'group_order': 1089, 'label': '99K43', 'order': 99, 'powers': [985, 342, 990, 9], 'representative': 948, 'size': 1}
-
id: 112326521
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1023, 'group_counter': 4, 'group_order': 1089, 'label': '99K-43', 'order': 99, 'powers': [984, 343, 991, 8], 'representative': 152, 'size': 1}
-
id: 112326522
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1024, 'group_counter': 4, 'group_order': 1089, 'label': '99K46', 'order': 99, 'powers': [979, 344, 1008, 6], 'representative': 1019, 'size': 1}
-
id: 112326523
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1025, 'group_counter': 4, 'group_order': 1089, 'label': '99K-46', 'order': 99, 'powers': [978, 345, 1009, 7], 'representative': 81, 'size': 1}
-
id: 112326524
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1026, 'group_counter': 4, 'group_order': 1089, 'label': '99K47', 'order': 99, 'powers': [977, 346, 1014, 8], 'representative': 1039, 'size': 1}
-
id: 112326525
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1027, 'group_counter': 4, 'group_order': 1089, 'label': '99K-47', 'order': 99, 'powers': [976, 347, 1015, 9], 'representative': 61, 'size': 1}
-
id: 112326526
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1028, 'group_counter': 4, 'group_order': 1089, 'label': '99K49', 'order': 99, 'powers': [971, 348, 1026, 5], 'representative': 1079, 'size': 1}
-
id: 112326527
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1029, 'group_counter': 4, 'group_order': 1089, 'label': '99K-49', 'order': 99, 'powers': [970, 349, 1027, 4], 'representative': 21, 'size': 1}
-
id: 112326529
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1030, 'group_counter': 4, 'group_order': 1089, 'label': '99L1', 'order': 99, 'powers': [1032, 350, 1036, 6], 'representative': 122, 'size': 1}
-
id: 112326530
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1031, 'group_counter': 4, 'group_order': 1089, 'label': '99L-1', 'order': 99, 'powers': [1033, 351, 1037, 7], 'representative': 978, 'size': 1}
-
id: 112326531
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1032, 'group_counter': 4, 'group_order': 1089, 'label': '99L2', 'order': 99, 'powers': [1034, 352, 1042, 8], 'representative': 244, 'size': 1}
-
id: 112326532
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1033, 'group_counter': 4, 'group_order': 1089, 'label': '99L-2', 'order': 99, 'powers': [1035, 353, 1043, 9], 'representative': 856, 'size': 1}
-
id: 112326533
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1034, 'group_counter': 4, 'group_order': 1089, 'label': '99L4', 'order': 99, 'powers': [1040, 354, 1054, 5], 'representative': 488, 'size': 1}
-
id: 112326534
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1035, 'group_counter': 4, 'group_order': 1089, 'label': '99L-4', 'order': 99, 'powers': [1041, 355, 1055, 4], 'representative': 612, 'size': 1}
-
id: 112326535
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1036, 'group_counter': 4, 'group_order': 1089, 'label': '99L5', 'order': 99, 'powers': [1042, 356, 1058, 4], 'representative': 610, 'size': 1}
-
id: 112326536
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1037, 'group_counter': 4, 'group_order': 1089, 'label': '99L-5', 'order': 99, 'powers': [1043, 357, 1059, 5], 'representative': 490, 'size': 1}
-
id: 112326537
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1038, 'group_counter': 4, 'group_order': 1089, 'label': '99L7', 'order': 99, 'powers': [1046, 358, 1072, 9], 'representative': 854, 'size': 1}
-
id: 112326538
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1039, 'group_counter': 4, 'group_order': 1089, 'label': '99L-7', 'order': 99, 'powers': [1047, 359, 1073, 8], 'representative': 246, 'size': 1}
-
id: 112326540
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1040, 'group_counter': 4, 'group_order': 1089, 'label': '99L8', 'order': 99, 'powers': [1048, 360, 1078, 7], 'representative': 976, 'size': 1}
-
id: 112326541
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1041, 'group_counter': 4, 'group_order': 1089, 'label': '99L-8', 'order': 99, 'powers': [1049, 361, 1079, 6], 'representative': 124, 'size': 1}
-
id: 112326542
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1042, 'group_counter': 4, 'group_order': 1089, 'label': '99L10', 'order': 99, 'powers': [1054, 362, 1089, 6], 'representative': 131, 'size': 1}
-
id: 112326543
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1043, 'group_counter': 4, 'group_order': 1089, 'label': '99L-10', 'order': 99, 'powers': [1055, 363, 1088, 7], 'representative': 969, 'size': 1}
-
id: 112326544
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1044, 'group_counter': 4, 'group_order': 1089, 'label': '99L13', 'order': 99, 'powers': [1060, 364, 1071, 5], 'representative': 486, 'size': 1}
-
id: 112326545
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1045, 'group_counter': 4, 'group_order': 1089, 'label': '99L-13', 'order': 99, 'powers': [1061, 365, 1070, 4], 'representative': 614, 'size': 1}
-
id: 112326546
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1046, 'group_counter': 4, 'group_order': 1089, 'label': '99L14', 'order': 99, 'powers': [1062, 366, 1065, 4], 'representative': 608, 'size': 1}
-
id: 112326547
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1047, 'group_counter': 4, 'group_order': 1089, 'label': '99L-14', 'order': 99, 'powers': [1063, 367, 1064, 5], 'representative': 492, 'size': 1}
-
id: 112326548
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1048, 'group_counter': 4, 'group_order': 1089, 'label': '99L16', 'order': 99, 'powers': [1068, 368, 1053, 9], 'representative': 852, 'size': 1}
-
id: 112326549
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1049, 'group_counter': 4, 'group_order': 1089, 'label': '99L-16', 'order': 99, 'powers': [1069, 369, 1052, 8], 'representative': 248, 'size': 1}
-
id: 112326551
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1050, 'group_counter': 4, 'group_order': 1089, 'label': '99L17', 'order': 99, 'powers': [1070, 369, 1047, 7], 'representative': 974, 'size': 1}
-
id: 112326552
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1051, 'group_counter': 4, 'group_order': 1089, 'label': '99L-17', 'order': 99, 'powers': [1071, 368, 1046, 6], 'representative': 126, 'size': 1}
-
id: 112326553
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1052, 'group_counter': 4, 'group_order': 1089, 'label': '99L19', 'order': 99, 'powers': [1076, 367, 1035, 6], 'representative': 129, 'size': 1}
-
id: 112326554
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1053, 'group_counter': 4, 'group_order': 1089, 'label': '99L-19', 'order': 99, 'powers': [1077, 366, 1034, 7], 'representative': 971, 'size': 1}
-
id: 112326555
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1054, 'group_counter': 4, 'group_order': 1089, 'label': '99L20', 'order': 99, 'powers': [1078, 365, 1030, 8], 'representative': 251, 'size': 1}
-
id: 112326556
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1055, 'group_counter': 4, 'group_order': 1089, 'label': '99L-20', 'order': 99, 'powers': [1079, 364, 1031, 9], 'representative': 849, 'size': 1}
-
id: 112326557
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1056, 'group_counter': 4, 'group_order': 1089, 'label': '99L23', 'order': 99, 'powers': [1084, 363, 1048, 4], 'representative': 606, 'size': 1}
-
id: 112326558
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1057, 'group_counter': 4, 'group_order': 1089, 'label': '99L-23', 'order': 99, 'powers': [1085, 362, 1049, 5], 'representative': 494, 'size': 1}
-
id: 112326559
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1058, 'group_counter': 4, 'group_order': 1089, 'label': '99L25', 'order': 99, 'powers': [1089, 361, 1060, 9], 'representative': 850, 'size': 1}
-
id: 112326560
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1059, 'group_counter': 4, 'group_order': 1089, 'label': '99L-25', 'order': 99, 'powers': [1088, 360, 1061, 8], 'representative': 250, 'size': 1}
-
id: 112326562
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1060, 'group_counter': 4, 'group_order': 1089, 'label': '99L26', 'order': 99, 'powers': [1087, 359, 1066, 7], 'representative': 972, 'size': 1}
-
id: 112326563
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1061, 'group_counter': 4, 'group_order': 1089, 'label': '99L-26', 'order': 99, 'powers': [1086, 358, 1067, 6], 'representative': 128, 'size': 1}
-
id: 112326564
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1062, 'group_counter': 4, 'group_order': 1089, 'label': '99L28', 'order': 99, 'powers': [1083, 357, 1080, 6], 'representative': 127, 'size': 1}
-
id: 112326565
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1063, 'group_counter': 4, 'group_order': 1089, 'label': '99L-28', 'order': 99, 'powers': [1082, 356, 1081, 7], 'representative': 973, 'size': 1}
-
id: 112326566
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1064, 'group_counter': 4, 'group_order': 1089, 'label': '99L29', 'order': 99, 'powers': [1081, 355, 1084, 8], 'representative': 249, 'size': 1}
-
id: 112326567
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1065, 'group_counter': 4, 'group_order': 1089, 'label': '99L-29', 'order': 99, 'powers': [1080, 354, 1085, 9], 'representative': 851, 'size': 1}
-
id: 112326568
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1066, 'group_counter': 4, 'group_order': 1089, 'label': '99L31', 'order': 99, 'powers': [1075, 353, 1083, 5], 'representative': 493, 'size': 1}
-
id: 112326569
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1067, 'group_counter': 4, 'group_order': 1089, 'label': '99L-31', 'order': 99, 'powers': [1074, 352, 1082, 4], 'representative': 607, 'size': 1}
-
id: 112326570
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1068, 'group_counter': 4, 'group_order': 1089, 'label': '99L32', 'order': 99, 'powers': [1073, 351, 1077, 4], 'representative': 615, 'size': 1}
-
id: 112326571
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1069, 'group_counter': 4, 'group_order': 1089, 'label': '99L-32', 'order': 99, 'powers': [1072, 350, 1076, 5], 'representative': 485, 'size': 1}
-
id: 112326573
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1070, 'group_counter': 4, 'group_order': 1089, 'label': '99L34', 'order': 99, 'powers': [1067, 350, 1063, 9], 'representative': 848, 'size': 1}
-
id: 112326574
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1071, 'group_counter': 4, 'group_order': 1089, 'label': '99L-34', 'order': 99, 'powers': [1066, 351, 1062, 8], 'representative': 252, 'size': 1}
-
id: 112326575
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1072, 'group_counter': 4, 'group_order': 1089, 'label': '99L35', 'order': 99, 'powers': [1065, 352, 1057, 7], 'representative': 970, 'size': 1}
-
id: 112326576
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1073, 'group_counter': 4, 'group_order': 1089, 'label': '99L-35', 'order': 99, 'powers': [1064, 353, 1056, 6], 'representative': 130, 'size': 1}
-
id: 112326577
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1074, 'group_counter': 4, 'group_order': 1089, 'label': '99L37', 'order': 99, 'powers': [1059, 354, 1045, 6], 'representative': 125, 'size': 1}
-
id: 112326578
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1075, 'group_counter': 4, 'group_order': 1089, 'label': '99L-37', 'order': 99, 'powers': [1058, 355, 1044, 7], 'representative': 975, 'size': 1}
-
id: 112326579
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1076, 'group_counter': 4, 'group_order': 1089, 'label': '99L38', 'order': 99, 'powers': [1057, 356, 1041, 8], 'representative': 247, 'size': 1}
-
id: 112326580
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1077, 'group_counter': 4, 'group_order': 1089, 'label': '99L-38', 'order': 99, 'powers': [1056, 357, 1040, 9], 'representative': 853, 'size': 1}
-
id: 112326581
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1078, 'group_counter': 4, 'group_order': 1089, 'label': '99L40', 'order': 99, 'powers': [1053, 358, 1032, 5], 'representative': 491, 'size': 1}
-
id: 112326582
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1079, 'group_counter': 4, 'group_order': 1089, 'label': '99L-40', 'order': 99, 'powers': [1052, 359, 1033, 4], 'representative': 609, 'size': 1}
-
id: 112326584
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1080, 'group_counter': 4, 'group_order': 1089, 'label': '99L41', 'order': 99, 'powers': [1051, 360, 1038, 4], 'representative': 613, 'size': 1}
-
id: 112326585
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1081, 'group_counter': 4, 'group_order': 1089, 'label': '99L-41', 'order': 99, 'powers': [1050, 361, 1039, 5], 'representative': 487, 'size': 1}
-
id: 112326586
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1082, 'group_counter': 4, 'group_order': 1089, 'label': '99L43', 'order': 99, 'powers': [1045, 362, 1050, 9], 'representative': 857, 'size': 1}
-
id: 112326587
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1083, 'group_counter': 4, 'group_order': 1089, 'label': '99L-43', 'order': 99, 'powers': [1044, 363, 1051, 8], 'representative': 243, 'size': 1}
-
id: 112326588
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1084, 'group_counter': 4, 'group_order': 1089, 'label': '99L46', 'order': 99, 'powers': [1039, 364, 1068, 6], 'representative': 123, 'size': 1}
-
id: 112326589
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1085, 'group_counter': 4, 'group_order': 1089, 'label': '99L-46', 'order': 99, 'powers': [1038, 365, 1069, 7], 'representative': 977, 'size': 1}
-
id: 112326590
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1086, 'group_counter': 4, 'group_order': 1089, 'label': '99L47', 'order': 99, 'powers': [1037, 366, 1074, 8], 'representative': 245, 'size': 1}
-
id: 112326591
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1087, 'group_counter': 4, 'group_order': 1089, 'label': '99L-47', 'order': 99, 'powers': [1036, 367, 1075, 9], 'representative': 855, 'size': 1}
-
id: 112326592
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1088, 'group_counter': 4, 'group_order': 1089, 'label': '99L49', 'order': 99, 'powers': [1031, 368, 1086, 5], 'representative': 489, 'size': 1}
-
id: 112326593
{'aut_label': '99A1', 'centralizer': '1.a1.a1', 'counter': 1089, 'group_counter': 4, 'group_order': 1089, 'label': '99L-49', 'order': 99, 'powers': [1030, 369, 1087, 4], 'representative': 611, 'size': 1}
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gps_qchar • Show schema
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-
id: 5068226
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id: 5068234
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id: 5068235
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id: 5068238
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id: 5068239
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id: 5068240
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id: 5068241
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id: 5068242
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id: 5068243
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id: 5068244
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id: 5068245
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id: 5068251
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id: 5068252
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id: 5068254
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id: 5068255
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id: 5068256
{'cdim': 1, 'counter': 37, 'faithful': False, 'group': '1089.4', 'group_order': 1089, 'image': None, 'label': '1089.4.1ak', 'multiplicity': 60, 'nt': [99, 0], 'qdim': 60, 'qvalues': [60, -30, -30, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, -6, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, 60, -6, -6, 60, -6, -6, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, -6, -6, -6, -6, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, -30, -30, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, -30, 3, 3, -30, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, -30, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 5068257
{'cdim': 1, 'counter': 38, 'faithful': False, 'group': '1089.4', 'group_order': 1089, 'image': None, 'label': '1089.4.1al', 'multiplicity': 60, 'nt': [99, 0], 'qdim': 60, 'qvalues': [60, -30, -30, 0, 0, 0, 0, 0, 0, -6, 60, -6, 60, 60, 60, 60, 60, 60, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, -30, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, -30, -30, 3, 3, 3, -30, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 5068258
{'cdim': 1, 'counter': 39, 'faithful': False, 'group': '1089.4', 'group_order': 1089, 'image': None, 'label': '1089.4.1am', 'multiplicity': 60, 'nt': [99, 0], 'qdim': 60, 'qvalues': [60, -30, -30, 0, 0, 0, 0, 0, 0, 60, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 60, -6, 60, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 3, 3, 3, 3, 3, 3, 3, -30, 3, -30, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, -30, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, -30, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, -30, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 1089.4 does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 69892155
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': True, 'core_order': 1089, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 33, 'label': '1089.4.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1089.4', 'subgroup_hash': 4, 'subgroup_order': 1089, 'subgroup_tex': 'C_{11}\\times C_{99}', 'supersolvable': True, 'sylow': 0}
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id: 69892166
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': True, 'core_order': 363, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1089.4.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '363.3', 'subgroup_hash': 3, 'subgroup_order': 363, 'subgroup_tex': 'C_{11}\\times C_{33}', 'supersolvable': True, 'sylow': 0}
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id: 69892177
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': True, 'core_order': 121, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 11, 'label': '1089.4.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '9.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 11}
-
id: 69892188
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 4, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892192
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 5, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892193
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 6, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892194
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 7, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892195
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 8, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892196
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 9, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.f1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892156
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 10, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.g1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892157
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 11, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.h1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892158
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 12, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.i1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.i1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892159
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 13, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.j1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.j1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892160
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 14, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.k1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.k1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892161
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 99, 'counter': 15, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.11.a1.l1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11.a1.l1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
-
id: 69892162
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 16, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892163
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 17, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892164
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892165
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 19, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892167
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 20, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892168
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 21, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892169
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892170
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892171
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 24, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.i1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892172
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.j1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892173
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.k1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892174
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 33, 'counter': 27, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.33.a1.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33.a1.l1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '33.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 33, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 69892175
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 28, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892176
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 29, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892178
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 30, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892179
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 31, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892180
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 32, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892181
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 33, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892182
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 34, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892183
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 35, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892184
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 36, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.i1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892185
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 37, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.j1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892186
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 38, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.k1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892187
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': False, 'core_order': 11, 'counter': 39, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1089.4.99.a1.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '99.a1.l1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '99.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 99, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 69892189
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': True, 'core_order': 9, 'counter': 40, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '1089.4.121.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '121.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '121.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 121, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 3}
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id: 69892190
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': True, 'core_order': 3, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1089.4.363.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '363.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '363.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 363, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}\\times C_{33}', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 69892191
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1089.4', 'ambient_counter': 4, 'ambient_order': 1089, 'ambient_tex': 'C_{11}\\times C_{99}', 'central': True, 'central_factor': False, 'centralizer_order': 1089, 'characteristic': True, 'core_order': 1, 'counter': 42, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1089.4.1089.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1089.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1089.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1089, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}\\times C_{99}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'PC', 'U1', 'L1', 'D1', 'C4'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 69892155
{'ambient': '1089.4', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1089.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['3.a1.a1', '11.a1.a1', '11.a1.b1', '11.a1.c1', '11.a1.d1', '11.a1.e1', '11.a1.f1', '11.a1.g1', '11.a1.h1', '11.a1.i1', '11.a1.j1', '11.a1.k1', '11.a1.l1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5932, 5932, 7078, 7078, 5699, 5699, 6542, 6542], 'generators': [242, 99, 726, 1], 'label': '1089.4.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['3.a1.a1', '11.a1.h1', '11.a1.e1', '11.a1.c1', '11.a1.d1', '11.a1.k1', '11.a1.g1', '11.a1.i1', '11.a1.a1', '11.a1.j1', '11.a1.b1', '11.a1.l1', '11.a1.f1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '1.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892156
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.a1', '99.a1.b1', '99.a1.c1', '99.a1.d1', '99.a1.f1', '99.a1.i1', '99.a1.k1', '99.a1.h1', '99.a1.l1', '99.a1.e1', '99.a1.j1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.g1', '121.a1.a1'], 'core': '11.a1.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 4846, 4846, 8272, 8272, 9785, 9785], 'generators': [242, 726, 397], 'label': '1089.4.11.a1.g1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.g1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.g1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.g1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892157
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.a1', '99.a1.i1', '99.a1.f1', '99.a1.b1', '99.a1.g1', '99.a1.c1', '99.a1.j1', '99.a1.e1', '99.a1.d1', '99.a1.k1', '99.a1.l1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.h1', '121.a1.a1'], 'core': '11.a1.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 8035, 8035, 8272, 8272, 8163, 8163], 'generators': [242, 726, 100], 'label': '1089.4.11.a1.h1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.h1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.h1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.h1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892158
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.a1', '99.a1.j1', '99.a1.d1', '99.a1.k1', '99.a1.b1', '99.a1.l1', '99.a1.g1', '99.a1.c1', '99.a1.e1', '99.a1.f1', '99.a1.h1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.i1', '121.a1.a1'], 'core': '11.a1.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 6374, 6374, 8272, 8272, 4380, 4380], 'generators': [242, 726, 199], 'label': '1089.4.11.a1.i1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.i1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.i1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.i1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892159
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.a1', '99.a1.g1', '99.a1.e1', '99.a1.f1', '99.a1.k1', '99.a1.h1', '99.a1.b1', '99.a1.l1', '99.a1.c1', '99.a1.d1', '99.a1.i1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.j1', '121.a1.a1'], 'core': '11.a1.j1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 2739, 2739, 8272, 8272, 6542, 6542], 'generators': [242, 726, 298], 'label': '1089.4.11.a1.j1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.j1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.j1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.j1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892160
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.a1', '99.a1.f1', '99.a1.h1', '99.a1.c1', '99.a1.e1', '99.a1.g1', '99.a1.d1', '99.a1.j1', '99.a1.i1', '99.a1.l1', '99.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.k1', '121.a1.a1'], 'core': '11.a1.k1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 5736, 5736, 8272, 8272, 4920, 4920], 'generators': [242, 726, 595], 'label': '1089.4.11.a1.k1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.k1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.k1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.k1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892161
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.a1', '99.a1.h1', '99.a1.k1', '99.a1.g1', '99.a1.j1', '99.a1.e1', '99.a1.i1', '99.a1.d1', '99.a1.f1', '99.a1.b1', '99.a1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.l1', '121.a1.a1'], 'core': '11.a1.l1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 688, 688, 8272, 8272, 7082, 7082], 'generators': [242, 726, 1], 'label': '1089.4.11.a1.l1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.l1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.l1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.l1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892162
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.a1'], 'contains': ['99.a1.a1', '363.a1.a1'], 'core': '33.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 3053, 3053, 6066, 6066, 4066, 4066], 'generators': [726, 99], 'label': '1089.4.33.a1.a1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.a1', 'normal_contained_in': ['3.a1.a1', '11.a1.a1'], 'normal_contains': ['99.a1.a1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.a1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892163
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.b1'], 'contains': ['99.a1.b1', '363.a1.a1'], 'core': '33.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 1838, 1838, 6066, 6066, 1904, 1904], 'generators': [726, 496], 'label': '1089.4.33.a1.b1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.b1', 'normal_contained_in': ['3.a1.a1', '11.a1.b1'], 'normal_contains': ['99.a1.b1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.b1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892164
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.c1'], 'contains': ['99.a1.c1', '363.a1.a1'], 'core': '33.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 9600, 9600, 6066, 6066, 5688, 5688], 'generators': [726, 991], 'label': '1089.4.33.a1.c1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.c1', 'normal_contained_in': ['3.a1.a1', '11.a1.c1'], 'normal_contains': ['99.a1.c1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.c1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892165
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.d1'], 'contains': ['99.a1.d1', '363.a1.a1'], 'core': '33.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 3499, 3499, 6066, 6066, 3526, 3526], 'generators': [726, 793], 'label': '1089.4.33.a1.d1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.d1', 'normal_contained_in': ['3.a1.a1', '11.a1.d1'], 'normal_contains': ['99.a1.d1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.d1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892166
{'ambient': '1089.4', 'aut_centralizer_order': 3, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '26400.a', 'aut_weyl_index': 3, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['9.a1.a1', '33.a1.a1', '33.a1.b1', '33.a1.c1', '33.a1.d1', '33.a1.e1', '33.a1.f1', '33.a1.g1', '33.a1.h1', '33.a1.i1', '33.a1.j1', '33.a1.k1', '33.a1.l1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3269, 3269, 3984, 3984, 3162, 3162, 2985, 2985], 'generators': [726, 99, 1], 'label': '1089.4.3.a1.a1', 'mobius_quo': -11, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['9.a1.a1', '33.a1.h1', '33.a1.e1', '33.a1.c1', '33.a1.d1', '33.a1.k1', '33.a1.g1', '33.a1.i1', '33.a1.a1', '33.a1.j1', '33.a1.b1', '33.a1.l1', '33.a1.f1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '3.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892167
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.e1'], 'contains': ['99.a1.e1', '363.a1.a1'], 'core': '33.a1.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 6374, 6374, 6066, 6066, 7310, 7310], 'generators': [726, 892], 'label': '1089.4.33.a1.e1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.e1', 'normal_contained_in': ['3.a1.a1', '11.a1.e1'], 'normal_contains': ['99.a1.e1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.e1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892168
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.f1'], 'contains': ['99.a1.f1', '363.a1.a1'], 'core': '33.a1.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 8673, 8673, 6066, 6066, 6769, 6769], 'generators': [726, 694], 'label': '1089.4.33.a1.f1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.f1', 'normal_contained_in': ['3.a1.a1', '11.a1.f1'], 'normal_contains': ['99.a1.f1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.f1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69892169
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.g1'], 'contains': ['99.a1.g1', '363.a1.a1'], 'core': '33.a1.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 3944, 3944, 6066, 6066, 7850, 7850], 'generators': [726, 397], 'label': '1089.4.33.a1.g1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.g1', 'normal_contained_in': ['3.a1.a1', '11.a1.g1'], 'normal_contains': ['99.a1.g1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.g1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892170
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.h1'], 'contains': ['99.a1.h1', '363.a1.a1'], 'core': '33.a1.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 7842, 7842, 6066, 6066, 6228, 6228], 'generators': [726, 100], 'label': '1089.4.33.a1.h1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.h1', 'normal_contained_in': ['3.a1.a1', '11.a1.h1'], 'normal_contains': ['99.a1.h1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.h1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892171
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.i1'], 'contains': ['99.a1.i1', '363.a1.a1'], 'core': '33.a1.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 7012, 7012, 6066, 6066, 2445, 2445], 'generators': [726, 199], 'label': '1089.4.33.a1.i1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.i1', 'normal_contained_in': ['3.a1.a1', '11.a1.i1'], 'normal_contains': ['99.a1.i1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.i1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892172
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.j1'], 'contains': ['99.a1.j1', '363.a1.a1'], 'core': '33.a1.j1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 1200, 1200, 6066, 6066, 4607, 4607], 'generators': [726, 298], 'label': '1089.4.33.a1.j1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.j1', 'normal_contained_in': ['3.a1.a1', '11.a1.j1'], 'normal_contains': ['99.a1.j1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.j1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892173
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.k1'], 'contains': ['99.a1.k1', '363.a1.a1'], 'core': '33.a1.k1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 4390, 4390, 6066, 6066, 2985, 2985], 'generators': [726, 595], 'label': '1089.4.33.a1.k1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.k1', 'normal_contained_in': ['3.a1.a1', '11.a1.k1'], 'normal_contains': ['99.a1.k1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.k1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892174
{'ambient': '1089.4', 'aut_centralizer_order': 330, 'aut_label': '33.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '20.5', 'aut_weyl_index': 3960, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.l1'], 'contains': ['99.a1.l1', '363.a1.a1'], 'core': '33.a1.l1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 5210, 369, 369, 6066, 6066, 5147, 5147], 'generators': [726, 1], 'label': '1089.4.33.a1.l1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '33.a1.l1', 'normal_contained_in': ['3.a1.a1', '11.a1.l1'], 'normal_contains': ['99.a1.l1', '363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '33.a1.l1', 'projective_image': '33.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '33.a1.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892175
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.l1', '11.a1.h1', '11.a1.i1', '11.a1.j1', '11.a1.g1', '11.a1.b1', '11.a1.k1', '11.a1.f1', '11.a1.d1', '11.a1.e1', '11.a1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.a1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 2284, 2284, 4596, 4596, 2377, 2377], 'generators': [99], 'label': '1089.4.99.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.a1', 'normal_contained_in': ['9.a1.a1', '33.a1.a1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.a1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892176
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1', '11.a1.c1', '11.a1.i1', '11.a1.j1', '11.a1.e1', '11.a1.k1', '11.a1.g1', '11.a1.h1', '11.a1.f1', '11.a1.d1', '11.a1.l1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.b1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 1646, 1646, 4596, 4596, 215, 215], 'generators': [496], 'label': '1089.4.99.a1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.b1', 'normal_contained_in': ['9.a1.a1', '33.a1.b1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.b1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892177
{'ambient': '1089.4', 'aut_centralizer_order': 6, 'aut_label': '9.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '13200.a', 'aut_weyl_index': 6, 'centralizer': '1.a1.a1', 'complements': ['121.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['99.a1.a1', '99.a1.b1', '99.a1.c1', '99.a1.d1', '99.a1.e1', '99.a1.f1', '99.a1.g1', '99.a1.h1', '99.a1.i1', '99.a1.j1', '99.a1.k1', '99.a1.l1'], 'core': '9.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2395, 2395, 2420, 2420, 2426, 2426, 1296, 1296], 'generators': [1, 99], 'label': '1089.4.9.a1.a1', 'mobius_quo': 11, 'mobius_sub': 0, 'normal_closure': '9.a1.a1', 'normal_contained_in': ['3.a1.a1'], 'normal_contains': ['99.a1.h1', '99.a1.e1', '99.a1.c1', '99.a1.d1', '99.a1.k1', '99.a1.g1', '99.a1.i1', '99.a1.a1', '99.a1.j1', '99.a1.b1', '99.a1.l1', '99.a1.f1'], 'normalizer': '1.a1.a1', 'old_label': '9.a1.a1', 'projective_image': '9.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '9.1', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892178
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1', '11.a1.g1', '11.a1.f1', '11.a1.d1', '11.a1.j1', '11.a1.l1', '11.a1.e1', '11.a1.k1', '11.a1.h1', '11.a1.i1', '11.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.c1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 9822, 9822, 4596, 4596, 3999, 3999], 'generators': [991], 'label': '1089.4.99.a1.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.c1', 'normal_contained_in': ['9.a1.a1', '33.a1.c1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.c1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892179
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1', '11.a1.i1', '11.a1.b1', '11.a1.k1', '11.a1.h1', '11.a1.e1', '11.a1.f1', '11.a1.g1', '11.a1.c1', '11.a1.l1', '11.a1.j1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.d1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 2729, 2729, 4596, 4596, 1837, 1837], 'generators': [793], 'label': '1089.4.99.a1.d1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.d1', 'normal_contained_in': ['9.a1.a1', '33.a1.d1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.d1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892180
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1', '11.a1.j1', '11.a1.k1', '11.a1.f1', '11.a1.i1', '11.a1.c1', '11.a1.d1', '11.a1.b1', '11.a1.l1', '11.a1.h1', '11.a1.g1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.e1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 6567, 6567, 4596, 4596, 5620, 5620], 'generators': [892], 'label': '1089.4.99.a1.e1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.e1', 'normal_contained_in': ['9.a1.a1', '33.a1.e1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.e1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892181
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1', '11.a1.h1', '11.a1.g1', '11.a1.b1', '11.a1.l1', '11.a1.d1', '11.a1.k1', '11.a1.j1', '11.a1.e1', '11.a1.c1', '11.a1.i1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.f1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 9185, 9185, 4596, 4596, 5080, 5080], 'generators': [694], 'label': '1089.4.99.a1.f1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.f1', 'normal_contained_in': ['9.a1.a1', '33.a1.f1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.f1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892182
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1', '11.a1.e1', '11.a1.h1', '11.a1.i1', '11.a1.d1', '11.a1.b1', '11.a1.j1', '11.a1.l1', '11.a1.k1', '11.a1.f1', '11.a1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.g1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 3621, 3621, 4596, 4596, 6161, 6161], 'generators': [397], 'label': '1089.4.99.a1.g1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.g1', 'normal_contained_in': ['9.a1.a1', '33.a1.g1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.g1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892183
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1', '11.a1.k1', '11.a1.e1', '11.a1.c1', '11.a1.b1', '11.a1.i1', '11.a1.l1', '11.a1.d1', '11.a1.j1', '11.a1.g1', '11.a1.f1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.h1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 8354, 8354, 4596, 4596, 4539, 4539], 'generators': [100], 'label': '1089.4.99.a1.h1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.h1', 'normal_contained_in': ['9.a1.a1', '33.a1.h1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.h1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892184
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1', '11.a1.f1', '11.a1.c1', '11.a1.l1', '11.a1.k1', '11.a1.j1', '11.a1.h1', '11.a1.e1', '11.a1.g1', '11.a1.b1', '11.a1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.i1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 7524, 7524, 4596, 4596, 756, 756], 'generators': [199], 'label': '1089.4.99.a1.i1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.i1', 'normal_contained_in': ['9.a1.a1', '33.a1.i1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.i1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892185
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1', '11.a1.d1', '11.a1.l1', '11.a1.h1', '11.a1.f1', '11.a1.g1', '11.a1.i1', '11.a1.c1', '11.a1.b1', '11.a1.k1', '11.a1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.j1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.j1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 1007, 1007, 4596, 4596, 2918, 2918], 'generators': [298], 'label': '1089.4.99.a1.j1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.j1', 'normal_contained_in': ['9.a1.a1', '33.a1.j1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.j1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892186
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1', '11.a1.l1', '11.a1.j1', '11.a1.g1', '11.a1.c1', '11.a1.f1', '11.a1.b1', '11.a1.i1', '11.a1.d1', '11.a1.e1', '11.a1.h1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.k1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.k1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 3174, 3174, 4596, 4596, 1296, 1296], 'generators': [595], 'label': '1089.4.99.a1.k1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.k1', 'normal_contained_in': ['9.a1.a1', '33.a1.k1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.k1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892187
{'ambient': '1089.4', 'aut_centralizer_order': 660, 'aut_label': '99.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '10.2', 'aut_weyl_index': 7920, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1', '11.a1.b1', '11.a1.d1', '11.a1.e1', '11.a1.g1', '11.a1.h1', '11.a1.c1', '11.a1.f1', '11.a1.i1', '11.a1.j1', '11.a1.k1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.l1'], 'contains': ['1089.a1.a1'], 'core': '99.a1.l1', 'coset_action_label': None, 'count': 1, 'diagramx': [2891, 2891, 178, 178, 4596, 4596, 3458, 3458], 'generators': [1], 'label': '1089.4.99.a1.l1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '99.a1.l1', 'normal_contained_in': ['9.a1.a1', '33.a1.l1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '99.a1.l1', 'projective_image': '99.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '99.a1.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892188
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.l1', '99.a1.h1', '99.a1.i1', '99.a1.j1', '99.a1.g1', '99.a1.b1', '99.a1.k1', '99.a1.f1', '99.a1.d1', '99.a1.e1', '99.a1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.a1', '121.a1.a1'], 'core': '11.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 4400, 4400, 8272, 8272, 6001, 6001], 'generators': [242, 726, 99], 'label': '1089.4.11.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.a1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.a1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892189
{'ambient': '1089.4', 'aut_centralizer_order': 13200, 'aut_label': '121.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 13200, 'centralizer': '1.a1.a1', 'complements': ['9.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['11.a1.a1', '11.a1.b1', '11.a1.c1', '11.a1.d1', '11.a1.e1', '11.a1.f1', '11.a1.g1', '11.a1.h1', '11.a1.i1', '11.a1.j1', '11.a1.k1', '11.a1.l1'], 'contains': ['363.a1.a1'], 'core': '121.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7453, 7453, 5478, 5478, 9007, 9007, 8342, 8342], 'generators': [242], 'label': '1089.4.121.a1.a1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '121.a1.a1', 'normal_contained_in': ['11.a1.h1', '11.a1.e1', '11.a1.c1', '11.a1.d1', '11.a1.k1', '11.a1.g1', '11.a1.i1', '11.a1.a1', '11.a1.j1', '11.a1.b1', '11.a1.l1', '11.a1.f1'], 'normal_contains': ['363.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '121.a1.a1', 'projective_image': '121.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '121.2', 'quotient_action_kernel_order': 121, 'quotient_fusion': None, 'short_label': '121.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892190
{'ambient': '1089.4', 'aut_centralizer_order': 39600, 'aut_label': '363.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 39600, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['33.a1.a1', '33.a1.b1', '33.a1.c1', '33.a1.d1', '33.a1.e1', '33.a1.f1', '33.a1.g1', '33.a1.h1', '33.a1.i1', '33.a1.j1', '33.a1.k1', '33.a1.l1', '121.a1.a1'], 'contains': ['1089.a1.a1'], 'core': '363.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5286, 5286, 4420, 4420, 7537, 7537, 6653, 6653], 'generators': [726], 'label': '1089.4.363.a1.a1', 'mobius_quo': -1, 'mobius_sub': -11, 'normal_closure': '363.a1.a1', 'normal_contained_in': ['33.a1.h1', '33.a1.e1', '33.a1.c1', '33.a1.d1', '33.a1.k1', '33.a1.g1', '33.a1.i1', '33.a1.a1', '33.a1.j1', '33.a1.b1', '33.a1.l1', '33.a1.f1', '121.a1.a1'], 'normal_contains': ['1089.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '363.a1.a1', 'projective_image': '363.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '363.3', 'quotient_action_kernel_order': 363, 'quotient_fusion': None, 'short_label': '363.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892191
{'ambient': '1089.4', 'aut_centralizer_order': None, 'aut_label': '1089.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['99.a1.a1', '99.a1.b1', '99.a1.c1', '99.a1.d1', '99.a1.e1', '99.a1.f1', '99.a1.g1', '99.a1.h1', '99.a1.i1', '99.a1.j1', '99.a1.k1', '99.a1.l1', '363.a1.a1'], 'contains': [], 'core': '1089.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4182, 4182, 3241, 3241, 6066, 6066, 3458, 3458], 'generators': [], 'label': '1089.4.1089.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1089.a1.a1', 'normal_contained_in': ['99.a1.h1', '99.a1.e1', '99.a1.c1', '99.a1.d1', '99.a1.k1', '99.a1.g1', '99.a1.i1', '99.a1.a1', '99.a1.j1', '99.a1.b1', '99.a1.l1', '99.a1.f1', '363.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1089.a1.a1', 'projective_image': '1089.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1089.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892192
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.a1', '99.a1.k1', '99.a1.l1', '99.a1.e1', '99.a1.d1', '99.a1.j1', '99.a1.f1', '99.a1.i1', '99.a1.h1', '99.a1.c1', '99.a1.g1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.b1', '121.a1.a1'], 'core': '11.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 3185, 3185, 8272, 8272, 3839, 3839], 'generators': [242, 726, 496], 'label': '1089.4.11.a1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.b1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.b1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892193
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.a1', '99.a1.l1', '99.a1.b1', '99.a1.j1', '99.a1.i1', '99.a1.d1', '99.a1.h1', '99.a1.f1', '99.a1.k1', '99.a1.g1', '99.a1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.c1', '121.a1.a1'], 'core': '11.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 9503, 9503, 8272, 8272, 7623, 7623], 'generators': [242, 726, 991], 'label': '1089.4.11.a1.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.c1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.c1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.c1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892194
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.a1', '99.a1.e1', '99.a1.j1', '99.a1.h1', '99.a1.l1', '99.a1.k1', '99.a1.c1', '99.a1.b1', '99.a1.g1', '99.a1.i1', '99.a1.f1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.d1', '121.a1.a1'], 'core': '11.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 5291, 5291, 8272, 8272, 5461, 5461], 'generators': [242, 726, 793], 'label': '1089.4.11.a1.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.d1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.d1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.d1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892195
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.a1', '99.a1.c1', '99.a1.g1', '99.a1.i1', '99.a1.h1', '99.a1.f1', '99.a1.l1', '99.a1.k1', '99.a1.b1', '99.a1.j1', '99.a1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.e1', '121.a1.a1'], 'core': '11.a1.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 6819, 6819, 8272, 8272, 9245, 9245], 'generators': [242, 726, 892], 'label': '1089.4.11.a1.e1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.e1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.e1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.e1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69892196
{'ambient': '1089.4', 'aut_centralizer_order': 110, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '60.13', 'aut_weyl_index': 1320, 'centralizer': '1.a1.a1', 'complements': ['99.a1.a1', '99.a1.d1', '99.a1.i1', '99.a1.l1', '99.a1.c1', '99.a1.b1', '99.a1.e1', '99.a1.g1', '99.a1.j1', '99.a1.h1', '99.a1.k1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['33.a1.f1', '121.a1.a1'], 'core': '11.a1.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [7605, 7605, 8673, 8673, 8272, 8272, 8704, 8704], 'generators': [242, 726, 694], 'label': '1089.4.11.a1.f1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.f1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['33.a1.f1', '121.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.f1', 'projective_image': '11.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
