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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '28.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 2310, 'aut_gen_orders': [66, 66, 6, 30, 30], 'aut_gens': [[1, 28], [1411, 952], [1507, 644], [639, 2128], [1611, 1708], [1727, 1932]], 'aut_group': None, 'aut_hash': 451316739717694482, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 55440, 'aut_permdeg': 160, 'aut_perms': [203413419174767152464626554600134509800238010997466591326939023451247179185685330595205487443423154651178178790337462342726934138959646807975080712762065368868674868740198948176286801270244389837315834521390385657823400709062824551297257773860028790469219877681026078120166710707457487, 440602004725100085892620221931667891787448005834859976365716732019205091183318789122085785051206078862357076765010057369412354406499362575359863447479125655816606774046204188127448408306988147782236602650649262918361108050069658431982731762972903313149653793599954068196441428998122666, 447739386851702729796784242805986213330643404357234384819976502916406500122850651532098598596699068526477738401201867938422790124139368468030792507843214934001097611851135309586132749962913677635505237118733022308795008386328659208820825538816448964450791979919649875955968603369830399, 58722406886205056489645887039768478033408110528065620298293991360610960816940985175634699934462373002570409053188385166441572669953925197256395762071334750821152671757784876716739515675754027536705983439388014641216433980453858265875182119698170410690530292430425190955916922268572063, 29359629019272971776215648816871468096484387284048681384200109286905985829141979588883520886523043822625750769698271005439219970107199887194812688838590503160533166825808103018110853498784580236478077834724282564080776701201793911603190963662805396459140245224111921161953915409188433], 'aut_phi_ratio': 66.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 77, 2, 1], [7, 1, 6, 1], [7, 2, 3, 1], [7, 2, 18, 1], [11, 2, 5, 1], [14, 1, 6, 1], [14, 2, 3, 1], [14, 2, 18, 1], [22, 2, 5, 1], [28, 77, 12, 1], [77, 2, 30, 2], [77, 2, 180, 1], [154, 2, 30, 2], [154, 2, 180, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{77}.C_{15}.C_6.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '12.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 12, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times C_6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 2310, 'autcentquo_group': '4620.f', 'autcentquo_hash': 8722215697134960362, 'autcentquo_nilpotent': False, 'autcentquo_order': 4620, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_7\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [4, 77, 2], [7, 1, 6], [7, 2, 21], [11, 2, 5], [14, 1, 6], [14, 2, 21], [22, 2, 5], [28, 77, 12], [77, 2, 240], [154, 2, 240]], 'center_label': '14.2', 'center_order': 14, 'central_product': True, 'central_quotient': '154.3', 'commutator_count': 1, 'commutator_label': '77.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '7.1', '7.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 7, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['308.3', 1], ['7.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 77, 2, 1], [7, 1, 6, 1], [7, 2, 3, 1], [7, 2, 6, 3], [11, 2, 5, 1], [14, 1, 6, 1], [14, 2, 3, 1], [14, 2, 6, 3], [22, 2, 5, 1], [28, 77, 12, 1], [77, 2, 30, 2], [77, 2, 60, 3], [154, 2, 30, 2], [154, 2, 60, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 48, 'exponent': 308, 'exponents_of_order': [2, 2, 1], 'factors_of_aut_order': [2, 3, 5, 7, 11], 'factors_of_order': [2, 7, 11], 'faithful_reps': [[2, 0, 180]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '1078.7', 'hash': 8690780688732927673, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 154, 'inner_gen_orders': [2, 77], 'inner_gens': [[1, 2128], [57, 28]], 'inner_hash': 3, 'inner_nilpotent': False, 'inner_order': 154, 'inner_split': True, 'inner_tex': 'D_{77}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 120, 'irrQ_dim': 120, 'irrR_degree': None, 'irrep_stats': [[1, 28], [2, 532]], 'label': '2156.g', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C77:C28', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 18, 'number_characteristic_subgroups': 18, 'number_conjugacy_classes': 560, 'number_divisions': 26, 'number_normal_subgroups': 18, 'number_subgroup_autclasses': 28, 'number_subgroup_classes': 36, 'number_subgroups': 232, 'old_label': None, 'order': 2156, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 1], [4, 154], [7, 48], [11, 10], [14, 48], [22, 10], [28, 924], [77, 480], [154, 480]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 30, 'outer_gen_orders': [2, 6, 30], 'outer_gen_pows': [616, 0, 616], 'outer_gens': [[617, 1204], [15, 1260], [633, 812]], 'outer_group': '360.162', 'outer_hash': 162, 'outer_nilpotent': True, 'outer_order': 360, 'outer_permdeg': 17, 'outer_perms': [20923268889600, 479007360, 87182282913], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_6\\times C_{30}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 29, 'pgroup': 0, 'primary_abelian_invariants': [4, 7], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 1], [6, 4], [10, 2], [12, 7], [60, 4], [120, 6]], 'representations': {'PC': {'code': '319675876543678074700559', 'gens': [1, 4], 'pres': [5, -2, -2, -7, -7, -11, 10, 26, 42563, 158, 49004]}, 'GLFp': {'d': 2, 'p': 463, 'gens': [286134, 40892172965, 34043726548]}, 'Perm': {'d': 29, 'gens': [339636151796013633299042304000, 655864893659767562031882665649, 971953053575147132368781190376]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [28], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{77}:C_{28}', 'transitive_degree': 308, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 106378659
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 7, 'group_order': 2156, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1, 1], 'representative': 0, 'size': 1}
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id: 106378770
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 7, 'group_order': 2156, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2, 2], 'representative': 14, 'size': 1}
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id: 106378881
{'aut_label': '4A1', 'centralizer': '77.a1.a1', 'counter': 3, 'group_counter': 7, 'group_order': 2156, 'label': '4A1', 'order': 4, 'powers': [2, 4, 3, 4, 4], 'representative': 1939, 'size': 77}
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id: 106378992
{'aut_label': '4A1', 'centralizer': '77.a1.a1', 'counter': 4, 'group_counter': 7, 'group_order': 2156, 'label': '4A-1', 'order': 4, 'powers': [2, 3, 4, 3, 3], 'representative': 1953, 'size': 77}
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id: 106379103
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 7, 'group_order': 2156, 'label': '7A1', 'order': 7, 'powers': [7, 9, 8, 1, 10], 'representative': 16, 'size': 1}
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id: 106379175
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 7, 'group_order': 2156, 'label': '7A-1', 'order': 7, 'powers': [8, 10, 7, 1, 9], 'representative': 12, 'size': 1}
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id: 106379186
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 7, 'group_order': 2156, 'label': '7A2', 'order': 7, 'powers': [10, 6, 9, 1, 5], 'representative': 4, 'size': 1}
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id: 106379197
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 7, 'group_order': 2156, 'label': '7A-2', 'order': 7, 'powers': [9, 5, 10, 1, 6], 'representative': 24, 'size': 1}
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id: 106379208
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 7, 'group_order': 2156, 'label': '7A3', 'order': 7, 'powers': [6, 7, 5, 1, 8], 'representative': 20, 'size': 1}
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id: 106378660
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 7, 'group_order': 2156, 'label': '7A-3', 'order': 7, 'powers': [5, 8, 6, 1, 7], 'representative': 8, 'size': 1}
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id: 106378671
{'aut_label': '7B1', 'centralizer': '2.a1.a1', 'counter': 11, 'group_counter': 7, 'group_order': 2156, 'label': '7B1', 'order': 7, 'powers': [12, 13, 12, 1, 13], 'representative': 616, 'size': 2}
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id: 106378682
{'aut_label': '7B1', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 7, 'group_order': 2156, 'label': '7B2', 'order': 7, 'powers': [13, 11, 13, 1, 11], 'representative': 1232, 'size': 2}
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id: 106378693
{'aut_label': '7B1', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 7, 'group_order': 2156, 'label': '7B3', 'order': 7, 'powers': [11, 12, 11, 1, 12], 'representative': 1848, 'size': 2}
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id: 106378704
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 14, 'group_counter': 7, 'group_order': 2156, 'label': '7C1', 'order': 7, 'powers': [16, 18, 17, 1, 19], 'representative': 632, 'size': 2}
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id: 106378715
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 7, 'group_order': 2156, 'label': '7C-1', 'order': 7, 'powers': [17, 19, 16, 1, 18], 'representative': 1552, 'size': 2}
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id: 106378726
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 7, 'group_order': 2156, 'label': '7C2', 'order': 7, 'powers': [19, 15, 18, 1, 14], 'representative': 1236, 'size': 2}
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id: 106378737
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 7, 'group_order': 2156, 'label': '7C-2', 'order': 7, 'powers': [18, 14, 19, 1, 15], 'representative': 948, 'size': 2}
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id: 106378748
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 7, 'group_order': 2156, 'label': '7C3', 'order': 7, 'powers': [15, 16, 14, 1, 17], 'representative': 1868, 'size': 2}
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id: 106378759
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 7, 'group_order': 2156, 'label': '7C-3', 'order': 7, 'powers': [14, 17, 15, 1, 16], 'representative': 316, 'size': 2}
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id: 106378771
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 7, 'group_order': 2156, 'label': '7D1', 'order': 7, 'powers': [22, 24, 23, 1, 25], 'representative': 1248, 'size': 2}
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id: 106378782
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 7, 'group_order': 2156, 'label': '7D-1', 'order': 7, 'powers': [23, 25, 22, 1, 24], 'representative': 936, 'size': 2}
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id: 106378793
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 22, 'group_counter': 7, 'group_order': 2156, 'label': '7D2', 'order': 7, 'powers': [25, 21, 24, 1, 20], 'representative': 312, 'size': 2}
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id: 106378804
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 7, 'group_order': 2156, 'label': '7D-2', 'order': 7, 'powers': [24, 20, 25, 1, 21], 'representative': 1872, 'size': 2}
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id: 106378815
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 7, 'group_order': 2156, 'label': '7D3', 'order': 7, 'powers': [21, 22, 20, 1, 23], 'representative': 1560, 'size': 2}
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id: 106378826
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 7, 'group_order': 2156, 'label': '7D-3', 'order': 7, 'powers': [20, 23, 21, 1, 22], 'representative': 624, 'size': 2}
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id: 106378837
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 7, 'group_order': 2156, 'label': '7E1', 'order': 7, 'powers': [28, 30, 29, 1, 31], 'representative': 1864, 'size': 2}
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id: 106378848
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 7, 'group_order': 2156, 'label': '7E-1', 'order': 7, 'powers': [29, 31, 28, 1, 30], 'representative': 320, 'size': 2}
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id: 106378859
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 7, 'group_order': 2156, 'label': '7E2', 'order': 7, 'powers': [31, 27, 30, 1, 26], 'representative': 1544, 'size': 2}
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id: 106378870
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 7, 'group_order': 2156, 'label': '7E-2', 'order': 7, 'powers': [30, 26, 31, 1, 27], 'representative': 640, 'size': 2}
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id: 106378882
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 7, 'group_order': 2156, 'label': '7E3', 'order': 7, 'powers': [27, 28, 26, 1, 29], 'representative': 1252, 'size': 2}
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id: 106378893
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 7, 'group_order': 2156, 'label': '7E-3', 'order': 7, 'powers': [26, 29, 27, 1, 28], 'representative': 932, 'size': 2}
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id: 106378904
{'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 7, 'group_order': 2156, 'label': '11A1', 'order': 11, 'powers': [33, 34, 36, 35, 1], 'representative': 588, 'size': 2}
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id: 106378915
{'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 33, 'group_counter': 7, 'group_order': 2156, 'label': '11A2', 'order': 11, 'powers': [35, 36, 32, 34, 1], 'representative': 1176, 'size': 2}
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id: 106378926
{'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 34, 'group_counter': 7, 'group_order': 2156, 'label': '11A3', 'order': 11, 'powers': [36, 33, 35, 32, 1], 'representative': 1764, 'size': 2}
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id: 106378937
{'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 7, 'group_order': 2156, 'label': '11A4', 'order': 11, 'powers': [34, 32, 33, 36, 1], 'representative': 196, 'size': 2}
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id: 106378948
{'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 7, 'group_order': 2156, 'label': '11A5', 'order': 11, 'powers': [32, 35, 34, 33, 1], 'representative': 784, 'size': 2}
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id: 106378959
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 7, 'group_order': 2156, 'label': '14A1', 'order': 14, 'powers': [5, 39, 41, 2, 40], 'representative': 22, 'size': 1}
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id: 106378970
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 7, 'group_order': 2156, 'label': '14A-1', 'order': 14, 'powers': [6, 40, 42, 2, 39], 'representative': 6, 'size': 1}
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id: 106378981
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 7, 'group_order': 2156, 'label': '14A3', 'order': 14, 'powers': [9, 42, 37, 2, 41], 'representative': 10, 'size': 1}
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id: 106378993
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 7, 'group_order': 2156, 'label': '14A-3', 'order': 14, 'powers': [10, 41, 38, 2, 42], 'representative': 18, 'size': 1}
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id: 106379004
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 7, 'group_order': 2156, 'label': '14A5', 'order': 14, 'powers': [8, 37, 40, 2, 38], 'representative': 26, 'size': 1}
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id: 106379015
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 7, 'group_order': 2156, 'label': '14A-5', 'order': 14, 'powers': [7, 38, 39, 2, 37], 'representative': 2, 'size': 1}
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id: 106379026
{'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 7, 'group_order': 2156, 'label': '14B1', 'order': 14, 'powers': [11, 44, 45, 2, 44], 'representative': 322, 'size': 2}
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id: 106379037
{'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 7, 'group_order': 2156, 'label': '14B3', 'order': 14, 'powers': [13, 45, 43, 2, 45], 'representative': 938, 'size': 2}
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id: 106379048
{'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 7, 'group_order': 2156, 'label': '14B5', 'order': 14, 'powers': [12, 43, 44, 2, 43], 'representative': 1554, 'size': 2}
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id: 106379059
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 7, 'group_order': 2156, 'label': '14C1', 'order': 14, 'powers': [14, 48, 50, 2, 49], 'representative': 330, 'size': 2}
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id: 106379070
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 7, 'group_order': 2156, 'label': '14C-1', 'order': 14, 'powers': [15, 49, 51, 2, 48], 'representative': 1854, 'size': 2}
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id: 106379081
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 7, 'group_order': 2156, 'label': '14C3', 'order': 14, 'powers': [18, 51, 46, 2, 50], 'representative': 934, 'size': 2}
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id: 106379092
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 7, 'group_order': 2156, 'label': '14C-3', 'order': 14, 'powers': [19, 50, 47, 2, 51], 'representative': 1250, 'size': 2}
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id: 106379104
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 7, 'group_order': 2156, 'label': '14C5', 'order': 14, 'powers': [17, 46, 49, 2, 47], 'representative': 1566, 'size': 2}
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id: 106379115
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 7, 'group_order': 2156, 'label': '14C-5', 'order': 14, 'powers': [16, 47, 48, 2, 46], 'representative': 618, 'size': 2}
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id: 106379126
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 7, 'group_order': 2156, 'label': '14D1', 'order': 14, 'powers': [20, 54, 56, 2, 55], 'representative': 638, 'size': 2}
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id: 106379137
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 7, 'group_order': 2156, 'label': '14D-1', 'order': 14, 'powers': [21, 55, 57, 2, 54], 'representative': 1546, 'size': 2}
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id: 106379148
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 7, 'group_order': 2156, 'label': '14D3', 'order': 14, 'powers': [24, 57, 52, 2, 56], 'representative': 1858, 'size': 2}
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id: 106379159
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 55, 'group_counter': 7, 'group_order': 2156, 'label': '14D-3', 'order': 14, 'powers': [25, 56, 53, 2, 57], 'representative': 326, 'size': 2}
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id: 106379170
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 56, 'group_counter': 7, 'group_order': 2156, 'label': '14D5', 'order': 14, 'powers': [23, 52, 55, 2, 53], 'representative': 950, 'size': 2}
-
id: 106379172
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 7, 'group_order': 2156, 'label': '14D-5', 'order': 14, 'powers': [22, 53, 54, 2, 52], 'representative': 1234, 'size': 2}
-
id: 106379173
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 7, 'group_order': 2156, 'label': '14E1', 'order': 14, 'powers': [26, 60, 62, 2, 61], 'representative': 946, 'size': 2}
-
id: 106379174
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 7, 'group_order': 2156, 'label': '14E-1', 'order': 14, 'powers': [27, 61, 63, 2, 60], 'representative': 1238, 'size': 2}
-
id: 106379176
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 7, 'group_order': 2156, 'label': '14E3', 'order': 14, 'powers': [30, 63, 58, 2, 62], 'representative': 626, 'size': 2}
-
id: 106379177
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 7, 'group_order': 2156, 'label': '14E-3', 'order': 14, 'powers': [31, 62, 59, 2, 63], 'representative': 1558, 'size': 2}
-
id: 106379178
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 7, 'group_order': 2156, 'label': '14E5', 'order': 14, 'powers': [29, 58, 61, 2, 59], 'representative': 334, 'size': 2}
-
id: 106379179
{'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 7, 'group_order': 2156, 'label': '14E-5', 'order': 14, 'powers': [28, 59, 60, 2, 58], 'representative': 1850, 'size': 2}
-
id: 106379180
{'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 7, 'group_order': 2156, 'label': '22A1', 'order': 22, 'powers': [32, 65, 66, 67, 2], 'representative': 1386, 'size': 2}
-
id: 106379181
{'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 7, 'group_order': 2156, 'label': '22A3', 'order': 22, 'powers': [34, 68, 67, 64, 2], 'representative': 1974, 'size': 2}
-
id: 106379182
{'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 7, 'group_order': 2156, 'label': '22A5', 'order': 22, 'powers': [36, 67, 65, 68, 2], 'representative': 406, 'size': 2}
-
id: 106379183
{'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 7, 'group_order': 2156, 'label': '22A7', 'order': 22, 'powers': [35, 64, 68, 66, 2], 'representative': 994, 'size': 2}
-
id: 106379184
{'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 7, 'group_order': 2156, 'label': '22A9', 'order': 22, 'powers': [33, 66, 64, 65, 2], 'representative': 1582, 'size': 2}
-
id: 106379185
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 69, 'group_counter': 7, 'group_order': 2156, 'label': '28A1', 'order': 28, 'powers': [42, 71, 73, 3, 77], 'representative': 1933, 'size': 77}
-
id: 106379187
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 70, 'group_counter': 7, 'group_order': 2156, 'label': '28A-1', 'order': 28, 'powers': [41, 72, 74, 4, 78], 'representative': 1959, 'size': 77}
-
id: 106379188
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 71, 'group_counter': 7, 'group_order': 2156, 'label': '28A3', 'order': 28, 'powers': [38, 75, 80, 4, 73], 'representative': 1935, 'size': 77}
-
id: 106379189
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 72, 'group_counter': 7, 'group_order': 2156, 'label': '28A-3', 'order': 28, 'powers': [37, 76, 79, 3, 74], 'representative': 1957, 'size': 77}
-
id: 106379190
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 73, 'group_counter': 7, 'group_order': 2156, 'label': '28A5', 'order': 28, 'powers': [39, 80, 72, 3, 70], 'representative': 1937, 'size': 77}
-
id: 106379191
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 74, 'group_counter': 7, 'group_order': 2156, 'label': '28A-5', 'order': 28, 'powers': [40, 79, 71, 4, 69], 'representative': 1955, 'size': 77}
-
id: 106379192
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 75, 'group_counter': 7, 'group_order': 2156, 'label': '28A9', 'order': 28, 'powers': [40, 70, 78, 3, 80], 'representative': 1941, 'size': 77}
-
id: 106379193
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 76, 'group_counter': 7, 'group_order': 2156, 'label': '28A-9', 'order': 28, 'powers': [39, 69, 77, 4, 79], 'representative': 1951, 'size': 77}
-
id: 106379194
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 77, 'group_counter': 7, 'group_order': 2156, 'label': '28A11', 'order': 28, 'powers': [37, 73, 70, 4, 75], 'representative': 1943, 'size': 77}
-
id: 106379195
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 78, 'group_counter': 7, 'group_order': 2156, 'label': '28A-11', 'order': 28, 'powers': [38, 74, 69, 3, 76], 'representative': 1949, 'size': 77}
-
id: 106379196
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 79, 'group_counter': 7, 'group_order': 2156, 'label': '28A13', 'order': 28, 'powers': [41, 77, 75, 3, 71], 'representative': 1945, 'size': 77}
-
id: 106379198
{'aut_label': '28A1', 'centralizer': '77.a1.a1', 'counter': 80, 'group_counter': 7, 'group_order': 2156, 'label': '28A-13', 'order': 28, 'powers': [42, 78, 76, 4, 72], 'representative': 1947, 'size': 77}
-
id: 106379199
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 7, 'group_order': 2156, 'label': '77A1', 'order': 77, 'powers': [83, 85, 89, 32, 5], 'representative': 396, 'size': 2}
-
id: 106379200
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 7, 'group_order': 2156, 'label': '77A-1', 'order': 77, 'powers': [84, 86, 90, 32, 6], 'representative': 1788, 'size': 2}
-
id: 106379201
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 7, 'group_order': 2156, 'label': '77A2', 'order': 77, 'powers': [87, 91, 95, 33, 7], 'representative': 792, 'size': 2}
-
id: 106379202
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 7, 'group_order': 2156, 'label': '77A-2', 'order': 77, 'powers': [88, 92, 96, 33, 8], 'representative': 1392, 'size': 2}
-
id: 106379203
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 7, 'group_order': 2156, 'label': '77A3', 'order': 77, 'powers': [91, 83, 101, 34, 9], 'representative': 1188, 'size': 2}
-
id: 106379204
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 7, 'group_order': 2156, 'label': '77A-3', 'order': 77, 'powers': [92, 84, 102, 34, 10], 'representative': 996, 'size': 2}
-
id: 106379205
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 7, 'group_order': 2156, 'label': '77A4', 'order': 77, 'powers': [93, 97, 99, 35, 10], 'representative': 1584, 'size': 2}
-
id: 106379206
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 7, 'group_order': 2156, 'label': '77A-4', 'order': 77, 'powers': [94, 98, 100, 35, 9], 'representative': 600, 'size': 2}
-
id: 106379207
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 7, 'group_order': 2156, 'label': '77A5', 'order': 77, 'powers': [95, 101, 86, 36, 8], 'representative': 1980, 'size': 2}
-
id: 106379209
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 7, 'group_order': 2156, 'label': '77A-5', 'order': 77, 'powers': [96, 102, 85, 36, 7], 'representative': 204, 'size': 2}
-
id: 106379210
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 7, 'group_order': 2156, 'label': '77A6', 'order': 77, 'powers': [97, 87, 106, 36, 6], 'representative': 220, 'size': 2}
-
id: 106379211
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 7, 'group_order': 2156, 'label': '77A-6', 'order': 77, 'powers': [98, 88, 105, 36, 5], 'representative': 1964, 'size': 2}
-
id: 106379212
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 7, 'group_order': 2156, 'label': '77A8', 'order': 77, 'powers': [90, 107, 109, 34, 5], 'representative': 984, 'size': 2}
-
id: 106379213
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 7, 'group_order': 2156, 'label': '77A-8', 'order': 77, 'powers': [89, 108, 110, 34, 6], 'representative': 1200, 'size': 2}
-
id: 106379214
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 7, 'group_order': 2156, 'label': '77A10', 'order': 77, 'powers': [99, 106, 92, 32, 9], 'representative': 1776, 'size': 2}
-
id: 106379215
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 7, 'group_order': 2156, 'label': '77A-10', 'order': 77, 'powers': [100, 105, 91, 32, 10], 'representative': 408, 'size': 2}
-
id: 106379216
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 97, 'group_counter': 7, 'group_order': 2156, 'label': '77A12', 'order': 77, 'powers': [107, 93, 104, 32, 8], 'representative': 412, 'size': 2}
-
id: 106379217
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 98, 'group_counter': 7, 'group_order': 2156, 'label': '77A-12', 'order': 77, 'powers': [108, 94, 103, 32, 7], 'representative': 1772, 'size': 2}
-
id: 106379218
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 99, 'group_counter': 7, 'group_order': 2156, 'label': '77A13', 'order': 77, 'powers': [109, 104, 98, 33, 6], 'representative': 808, 'size': 2}
-
id: 106378661
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 100, 'group_counter': 7, 'group_order': 2156, 'label': '77A-13', 'order': 77, 'powers': [110, 103, 97, 33, 5], 'representative': 1376, 'size': 2}
-
id: 106378662
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 101, 'group_counter': 7, 'group_order': 2156, 'label': '77A15', 'order': 77, 'powers': [106, 95, 84, 35, 5], 'representative': 1572, 'size': 2}
-
id: 106378663
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 102, 'group_counter': 7, 'group_order': 2156, 'label': '77A-15', 'order': 77, 'powers': [105, 96, 83, 35, 6], 'representative': 612, 'size': 2}
-
id: 106378664
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 103, 'group_counter': 7, 'group_order': 2156, 'label': '77A17', 'order': 77, 'powers': [82, 110, 93, 36, 9], 'representative': 208, 'size': 2}
-
id: 106378665
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 104, 'group_counter': 7, 'group_order': 2156, 'label': '77A-17', 'order': 77, 'powers': [81, 109, 94, 36, 10], 'representative': 1976, 'size': 2}
-
id: 106378666
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 105, 'group_counter': 7, 'group_order': 2156, 'label': '77A19', 'order': 77, 'powers': [103, 100, 87, 34, 8], 'representative': 1000, 'size': 2}
-
id: 106378667
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 106, 'group_counter': 7, 'group_order': 2156, 'label': '77A-19', 'order': 77, 'powers': [104, 99, 88, 34, 7], 'representative': 1184, 'size': 2}
-
id: 106378668
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 107, 'group_counter': 7, 'group_order': 2156, 'label': '77A24', 'order': 77, 'powers': [102, 90, 81, 33, 9], 'representative': 796, 'size': 2}
-
id: 106378669
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 108, 'group_counter': 7, 'group_order': 2156, 'label': '77A-24', 'order': 77, 'powers': [101, 89, 82, 33, 10], 'representative': 1388, 'size': 2}
-
id: 106378670
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 109, 'group_counter': 7, 'group_order': 2156, 'label': '77A26', 'order': 77, 'powers': [85, 81, 108, 35, 8], 'representative': 1588, 'size': 2}
-
id: 106378672
{'aut_label': '77A1', 'centralizer': '2.a1.a1', 'counter': 110, 'group_counter': 7, 'group_order': 2156, 'label': '77A-26', 'order': 77, 'powers': [86, 82, 107, 35, 7], 'representative': 596, 'size': 2}
-
id: 106378673
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 111, 'group_counter': 7, 'group_order': 2156, 'label': '77B1', 'order': 77, 'powers': [112, 113, 115, 34, 11], 'representative': 56, 'size': 2}
-
id: 106378674
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 112, 'group_counter': 7, 'group_order': 2156, 'label': '77B2', 'order': 77, 'powers': [114, 116, 119, 36, 12], 'representative': 112, 'size': 2}
-
id: 106378675
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 113, 'group_counter': 7, 'group_order': 2156, 'label': '77B3', 'order': 77, 'powers': [116, 118, 122, 33, 13], 'representative': 168, 'size': 2}
-
id: 106378676
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 114, 'group_counter': 7, 'group_order': 2156, 'label': '77B4', 'order': 77, 'powers': [117, 120, 127, 32, 13], 'representative': 224, 'size': 2}
-
id: 106378677
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 115, 'group_counter': 7, 'group_order': 2156, 'label': '77B5', 'order': 77, 'powers': [119, 122, 130, 35, 12], 'representative': 280, 'size': 2}
-
id: 106378678
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 116, 'group_counter': 7, 'group_order': 2156, 'label': '77B6', 'order': 77, 'powers': [120, 125, 134, 35, 11], 'representative': 336, 'size': 2}
-
id: 106378679
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 117, 'group_counter': 7, 'group_order': 2156, 'label': '77B8', 'order': 77, 'powers': [123, 129, 139, 33, 11], 'representative': 448, 'size': 2}
-
id: 106378680
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 118, 'group_counter': 7, 'group_order': 2156, 'label': '77B9', 'order': 77, 'powers': [125, 132, 136, 36, 12], 'representative': 504, 'size': 2}
-
id: 106378681
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 119, 'group_counter': 7, 'group_order': 2156, 'label': '77B10', 'order': 77, 'powers': [127, 134, 132, 34, 13], 'representative': 560, 'size': 2}
-
id: 106378683
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 120, 'group_counter': 7, 'group_order': 2156, 'label': '77B12', 'order': 77, 'powers': [129, 138, 124, 34, 12], 'representative': 672, 'size': 2}
-
id: 106378684
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 121, 'group_counter': 7, 'group_order': 2156, 'label': '77B13', 'order': 77, 'powers': [131, 140, 120, 36, 11], 'representative': 728, 'size': 2}
-
id: 106378685
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 122, 'group_counter': 7, 'group_order': 2156, 'label': '77B15', 'order': 77, 'powers': [134, 136, 112, 32, 11], 'representative': 840, 'size': 2}
-
id: 106378686
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 123, 'group_counter': 7, 'group_order': 2156, 'label': '77B16', 'order': 77, 'powers': [136, 133, 113, 35, 12], 'representative': 896, 'size': 2}
-
id: 106378687
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 124, 'group_counter': 7, 'group_order': 2156, 'label': '77B17', 'order': 77, 'powers': [137, 131, 117, 35, 13], 'representative': 952, 'size': 2}
-
id: 106378688
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 125, 'group_counter': 7, 'group_order': 2156, 'label': '77B18', 'order': 77, 'powers': [138, 128, 121, 32, 13], 'representative': 1008, 'size': 2}
-
id: 106378689
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 126, 'group_counter': 7, 'group_order': 2156, 'label': '77B19', 'order': 77, 'powers': [140, 127, 125, 33, 12], 'representative': 1064, 'size': 2}
-
id: 106378690
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 127, 'group_counter': 7, 'group_order': 2156, 'label': '77B20', 'order': 77, 'powers': [139, 124, 128, 36, 11], 'representative': 1120, 'size': 2}
-
id: 106378691
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 128, 'group_counter': 7, 'group_order': 2156, 'label': '77B23', 'order': 77, 'powers': [135, 117, 140, 34, 12], 'representative': 1288, 'size': 2}
-
id: 106378692
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 129, 'group_counter': 7, 'group_order': 2156, 'label': '77B24', 'order': 77, 'powers': [133, 115, 137, 36, 13], 'representative': 1344, 'size': 2}
-
id: 106378694
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 130, 'group_counter': 7, 'group_order': 2156, 'label': '77B25', 'order': 77, 'powers': [132, 112, 133, 33, 13], 'representative': 1400, 'size': 2}
-
id: 106378695
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 131, 'group_counter': 7, 'group_order': 2156, 'label': '77B26', 'order': 77, 'powers': [130, 111, 129, 32, 12], 'representative': 1456, 'size': 2}
-
id: 106378696
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 132, 'group_counter': 7, 'group_order': 2156, 'label': '77B27', 'order': 77, 'powers': [128, 114, 126, 35, 11], 'representative': 1512, 'size': 2}
-
id: 106378697
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 133, 'group_counter': 7, 'group_order': 2156, 'label': '77B29', 'order': 77, 'powers': [126, 119, 118, 32, 11], 'representative': 1624, 'size': 2}
-
id: 106378698
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 134, 'group_counter': 7, 'group_order': 2156, 'label': '77B30', 'order': 77, 'powers': [124, 121, 114, 33, 12], 'representative': 1680, 'size': 2}
-
id: 106378699
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 135, 'group_counter': 7, 'group_order': 2156, 'label': '77B31', 'order': 77, 'powers': [122, 123, 111, 36, 13], 'representative': 1736, 'size': 2}
-
id: 106378700
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 136, 'group_counter': 7, 'group_order': 2156, 'label': '77B32', 'order': 77, 'powers': [121, 126, 116, 34, 13], 'representative': 1792, 'size': 2}
-
id: 106378701
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 137, 'group_counter': 7, 'group_order': 2156, 'label': '77B34', 'order': 77, 'powers': [118, 130, 123, 34, 11], 'representative': 1904, 'size': 2}
-
id: 106378702
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 138, 'group_counter': 7, 'group_order': 2156, 'label': '77B36', 'order': 77, 'powers': [115, 135, 131, 33, 11], 'representative': 2016, 'size': 2}
-
id: 106378703
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 139, 'group_counter': 7, 'group_order': 2156, 'label': '77B37', 'order': 77, 'powers': [113, 137, 135, 32, 12], 'representative': 2072, 'size': 2}
-
id: 106378705
{'aut_label': '77B1', 'centralizer': '2.a1.a1', 'counter': 140, 'group_counter': 7, 'group_order': 2156, 'label': '77B38', 'order': 77, 'powers': [111, 139, 138, 35, 13], 'representative': 2128, 'size': 2}
-
id: 106378706
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 141, 'group_counter': 7, 'group_order': 2156, 'label': '77C1', 'order': 77, 'powers': [143, 145, 149, 34, 14], 'representative': 60, 'size': 2}
-
id: 106378707
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 142, 'group_counter': 7, 'group_order': 2156, 'label': '77C-1', 'order': 77, 'powers': [144, 146, 150, 34, 15], 'representative': 2124, 'size': 2}
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id: 106378708
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 143, 'group_counter': 7, 'group_order': 2156, 'label': '77C2', 'order': 77, 'powers': [147, 151, 157, 36, 16], 'representative': 120, 'size': 2}
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id: 106378709
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 144, 'group_counter': 7, 'group_order': 2156, 'label': '77C-2', 'order': 77, 'powers': [148, 152, 158, 36, 17], 'representative': 2064, 'size': 2}
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id: 106378710
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 145, 'group_counter': 7, 'group_order': 2156, 'label': '77C3', 'order': 77, 'powers': [151, 155, 163, 33, 18], 'representative': 180, 'size': 2}
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id: 106378711
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 146, 'group_counter': 7, 'group_order': 2156, 'label': '77C-3', 'order': 77, 'powers': [152, 156, 164, 33, 19], 'representative': 2004, 'size': 2}
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id: 106378712
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 147, 'group_counter': 7, 'group_order': 2156, 'label': '77C4', 'order': 77, 'powers': [153, 159, 173, 32, 19], 'representative': 240, 'size': 2}
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id: 106378713
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 148, 'group_counter': 7, 'group_order': 2156, 'label': '77C-4', 'order': 77, 'powers': [154, 160, 174, 32, 18], 'representative': 1944, 'size': 2}
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id: 106378714
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 149, 'group_counter': 7, 'group_order': 2156, 'label': '77C5', 'order': 77, 'powers': [157, 163, 179, 35, 17], 'representative': 300, 'size': 2}
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id: 106378716
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 150, 'group_counter': 7, 'group_order': 2156, 'label': '77C-5', 'order': 77, 'powers': [158, 164, 180, 35, 16], 'representative': 1884, 'size': 2}
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id: 106378717
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 151, 'group_counter': 7, 'group_order': 2156, 'label': '77C6', 'order': 77, 'powers': [159, 169, 187, 35, 15], 'representative': 360, 'size': 2}
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id: 106378718
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 152, 'group_counter': 7, 'group_order': 2156, 'label': '77C-6', 'order': 77, 'powers': [160, 170, 188, 35, 14], 'representative': 1824, 'size': 2}
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id: 106378719
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 153, 'group_counter': 7, 'group_order': 2156, 'label': '77C8', 'order': 77, 'powers': [165, 177, 198, 33, 14], 'representative': 452, 'size': 2}
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id: 106378720
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 154, 'group_counter': 7, 'group_order': 2156, 'label': '77C-8', 'order': 77, 'powers': [166, 178, 197, 33, 15], 'representative': 1732, 'size': 2}
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id: 106378721
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 155, 'group_counter': 7, 'group_order': 2156, 'label': '77C9', 'order': 77, 'powers': [169, 183, 192, 36, 16], 'representative': 512, 'size': 2}
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id: 106378722
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 156, 'group_counter': 7, 'group_order': 2156, 'label': '77C-9', 'order': 77, 'powers': [170, 184, 191, 36, 17], 'representative': 1672, 'size': 2}
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id: 106378723
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 157, 'group_counter': 7, 'group_order': 2156, 'label': '77C10', 'order': 77, 'powers': [173, 187, 184, 34, 18], 'representative': 572, 'size': 2}
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id: 106378724
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 158, 'group_counter': 7, 'group_order': 2156, 'label': '77C-10', 'order': 77, 'powers': [174, 188, 183, 34, 19], 'representative': 1612, 'size': 2}
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id: 106378725
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 159, 'group_counter': 7, 'group_order': 2156, 'label': '77C12', 'order': 77, 'powers': [177, 195, 168, 34, 17], 'representative': 692, 'size': 2}
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id: 106378727
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 160, 'group_counter': 7, 'group_order': 2156, 'label': '77C-12', 'order': 77, 'powers': [178, 196, 167, 34, 16], 'representative': 1492, 'size': 2}
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id: 106378728
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 161, 'group_counter': 7, 'group_order': 2156, 'label': '77C13', 'order': 77, 'powers': [181, 200, 160, 36, 15], 'representative': 752, 'size': 2}
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id: 106378729
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 162, 'group_counter': 7, 'group_order': 2156, 'label': '77C-13', 'order': 77, 'powers': [182, 199, 159, 36, 14], 'representative': 1432, 'size': 2}
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id: 106378730
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 163, 'group_counter': 7, 'group_order': 2156, 'label': '77C15', 'order': 77, 'powers': [187, 192, 144, 32, 14], 'representative': 844, 'size': 2}
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id: 106378731
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 164, 'group_counter': 7, 'group_order': 2156, 'label': '77C-15', 'order': 77, 'powers': [188, 191, 143, 32, 15], 'representative': 1340, 'size': 2}
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id: 106378732
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 165, 'group_counter': 7, 'group_order': 2156, 'label': '77C16', 'order': 77, 'powers': [191, 186, 145, 35, 16], 'representative': 904, 'size': 2}
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id: 106378733
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 166, 'group_counter': 7, 'group_order': 2156, 'label': '77C-16', 'order': 77, 'powers': [192, 185, 146, 35, 17], 'representative': 1280, 'size': 2}
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id: 106378734
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 167, 'group_counter': 7, 'group_order': 2156, 'label': '77C17', 'order': 77, 'powers': [193, 182, 153, 35, 18], 'representative': 964, 'size': 2}
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id: 106378735
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 168, 'group_counter': 7, 'group_order': 2156, 'label': '77C-17', 'order': 77, 'powers': [194, 181, 154, 35, 19], 'representative': 1220, 'size': 2}
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id: 106378736
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 169, 'group_counter': 7, 'group_order': 2156, 'label': '77C18', 'order': 77, 'powers': [195, 176, 161, 32, 19], 'representative': 1024, 'size': 2}
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id: 106378738
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 170, 'group_counter': 7, 'group_order': 2156, 'label': '77C-18', 'order': 77, 'powers': [196, 175, 162, 32, 18], 'representative': 1160, 'size': 2}
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id: 106378739
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 171, 'group_counter': 7, 'group_order': 2156, 'label': '77C19', 'order': 77, 'powers': [199, 174, 169, 33, 17], 'representative': 1084, 'size': 2}
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id: 106378740
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 172, 'group_counter': 7, 'group_order': 2156, 'label': '77C-19', 'order': 77, 'powers': [200, 173, 170, 33, 16], 'representative': 1100, 'size': 2}
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id: 106378741
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 173, 'group_counter': 7, 'group_order': 2156, 'label': '77C20', 'order': 77, 'powers': [198, 168, 175, 36, 15], 'representative': 1144, 'size': 2}
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id: 106378742
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 174, 'group_counter': 7, 'group_order': 2156, 'label': '77C-20', 'order': 77, 'powers': [197, 167, 176, 36, 14], 'representative': 1040, 'size': 2}
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id: 106378743
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 175, 'group_counter': 7, 'group_order': 2156, 'label': '77C23', 'order': 77, 'powers': [190, 154, 199, 34, 16], 'representative': 1296, 'size': 2}
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id: 106378744
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 176, 'group_counter': 7, 'group_order': 2156, 'label': '77C-23', 'order': 77, 'powers': [189, 153, 200, 34, 17], 'representative': 888, 'size': 2}
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id: 106378745
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 177, 'group_counter': 7, 'group_order': 2156, 'label': '77C24', 'order': 77, 'powers': [186, 150, 194, 36, 18], 'representative': 1356, 'size': 2}
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id: 106378746
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 178, 'group_counter': 7, 'group_order': 2156, 'label': '77C-24', 'order': 77, 'powers': [185, 149, 193, 36, 19], 'representative': 828, 'size': 2}
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id: 106378747
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 179, 'group_counter': 7, 'group_order': 2156, 'label': '77C25', 'order': 77, 'powers': [184, 144, 186, 33, 19], 'representative': 1416, 'size': 2}
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id: 106378749
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 180, 'group_counter': 7, 'group_order': 2156, 'label': '77C-25', 'order': 77, 'powers': [183, 143, 185, 33, 18], 'representative': 768, 'size': 2}
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id: 106378750
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 181, 'group_counter': 7, 'group_order': 2156, 'label': '77C26', 'order': 77, 'powers': [180, 141, 178, 32, 17], 'representative': 1476, 'size': 2}
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id: 106378751
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 182, 'group_counter': 7, 'group_order': 2156, 'label': '77C-26', 'order': 77, 'powers': [179, 142, 177, 32, 16], 'representative': 708, 'size': 2}
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id: 106378752
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 183, 'group_counter': 7, 'group_order': 2156, 'label': '77C27', 'order': 77, 'powers': [176, 147, 172, 35, 15], 'representative': 1536, 'size': 2}
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id: 106378753
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 184, 'group_counter': 7, 'group_order': 2156, 'label': '77C-27', 'order': 77, 'powers': [175, 148, 171, 35, 14], 'representative': 648, 'size': 2}
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id: 106378754
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 185, 'group_counter': 7, 'group_order': 2156, 'label': '77C29', 'order': 77, 'powers': [172, 157, 156, 32, 14], 'representative': 1628, 'size': 2}
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id: 106378755
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 186, 'group_counter': 7, 'group_order': 2156, 'label': '77C-29', 'order': 77, 'powers': [171, 158, 155, 32, 15], 'representative': 556, 'size': 2}
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id: 106378756
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 187, 'group_counter': 7, 'group_order': 2156, 'label': '77C30', 'order': 77, 'powers': [168, 161, 148, 33, 16], 'representative': 1688, 'size': 2}
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id: 106378757
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 188, 'group_counter': 7, 'group_order': 2156, 'label': '77C-30', 'order': 77, 'powers': [167, 162, 147, 33, 17], 'representative': 496, 'size': 2}
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id: 106378758
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 189, 'group_counter': 7, 'group_order': 2156, 'label': '77C31', 'order': 77, 'powers': [164, 165, 141, 36, 18], 'representative': 1748, 'size': 2}
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id: 106378760
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 190, 'group_counter': 7, 'group_order': 2156, 'label': '77C-31', 'order': 77, 'powers': [163, 166, 142, 36, 19], 'representative': 436, 'size': 2}
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id: 106378761
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 191, 'group_counter': 7, 'group_order': 2156, 'label': '77C32', 'order': 77, 'powers': [162, 171, 151, 34, 19], 'representative': 1808, 'size': 2}
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id: 106378762
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 192, 'group_counter': 7, 'group_order': 2156, 'label': '77C-32', 'order': 77, 'powers': [161, 172, 152, 34, 18], 'representative': 376, 'size': 2}
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id: 106378763
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 193, 'group_counter': 7, 'group_order': 2156, 'label': '77C34', 'order': 77, 'powers': [156, 179, 165, 34, 15], 'representative': 1928, 'size': 2}
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id: 106378764
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 194, 'group_counter': 7, 'group_order': 2156, 'label': '77C-34', 'order': 77, 'powers': [155, 180, 166, 34, 14], 'representative': 256, 'size': 2}
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id: 106378765
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 195, 'group_counter': 7, 'group_order': 2156, 'label': '77C36', 'order': 77, 'powers': [150, 189, 181, 33, 14], 'representative': 2020, 'size': 2}
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id: 106378766
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 196, 'group_counter': 7, 'group_order': 2156, 'label': '77C-36', 'order': 77, 'powers': [149, 190, 182, 33, 15], 'representative': 164, 'size': 2}
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id: 106378767
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 197, 'group_counter': 7, 'group_order': 2156, 'label': '77C37', 'order': 77, 'powers': [146, 193, 189, 32, 16], 'representative': 2080, 'size': 2}
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id: 106378768
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 198, 'group_counter': 7, 'group_order': 2156, 'label': '77C-37', 'order': 77, 'powers': [145, 194, 190, 32, 17], 'representative': 104, 'size': 2}
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id: 106378769
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 199, 'group_counter': 7, 'group_order': 2156, 'label': '77C38', 'order': 77, 'powers': [142, 197, 195, 35, 18], 'representative': 2140, 'size': 2}
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id: 106378772
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 200, 'group_counter': 7, 'group_order': 2156, 'label': '77C-38', 'order': 77, 'powers': [141, 198, 196, 35, 19], 'representative': 44, 'size': 2}
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id: 106378773
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 201, 'group_counter': 7, 'group_order': 2156, 'label': '77D1', 'order': 77, 'powers': [203, 205, 209, 36, 20], 'representative': 116, 'size': 2}
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id: 106378774
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 202, 'group_counter': 7, 'group_order': 2156, 'label': '77D-1', 'order': 77, 'powers': [204, 206, 210, 36, 21], 'representative': 2068, 'size': 2}
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id: 106378775
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 203, 'group_counter': 7, 'group_order': 2156, 'label': '77D2', 'order': 77, 'powers': [207, 211, 217, 32, 22], 'representative': 232, 'size': 2}
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id: 106378776
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 204, 'group_counter': 7, 'group_order': 2156, 'label': '77D-2', 'order': 77, 'powers': [208, 212, 218, 32, 23], 'representative': 1952, 'size': 2}
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id: 106378777
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 205, 'group_counter': 7, 'group_order': 2156, 'label': '77D3', 'order': 77, 'powers': [211, 215, 223, 35, 24], 'representative': 348, 'size': 2}
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id: 106378778
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 206, 'group_counter': 7, 'group_order': 2156, 'label': '77D-3', 'order': 77, 'powers': [212, 216, 224, 35, 25], 'representative': 1836, 'size': 2}
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id: 106378779
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 207, 'group_counter': 7, 'group_order': 2156, 'label': '77D4', 'order': 77, 'powers': [213, 219, 233, 33, 25], 'representative': 464, 'size': 2}
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id: 106378780
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 208, 'group_counter': 7, 'group_order': 2156, 'label': '77D-4', 'order': 77, 'powers': [214, 220, 234, 33, 24], 'representative': 1720, 'size': 2}
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id: 106378781
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 209, 'group_counter': 7, 'group_order': 2156, 'label': '77D5', 'order': 77, 'powers': [217, 223, 239, 34, 23], 'representative': 580, 'size': 2}
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id: 106378783
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 210, 'group_counter': 7, 'group_order': 2156, 'label': '77D-5', 'order': 77, 'powers': [218, 224, 240, 34, 22], 'representative': 1604, 'size': 2}
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id: 106378784
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 211, 'group_counter': 7, 'group_order': 2156, 'label': '77D6', 'order': 77, 'powers': [219, 229, 247, 34, 21], 'representative': 696, 'size': 2}
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id: 106378785
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 212, 'group_counter': 7, 'group_order': 2156, 'label': '77D-6', 'order': 77, 'powers': [220, 230, 248, 34, 20], 'representative': 1488, 'size': 2}
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id: 106378786
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 213, 'group_counter': 7, 'group_order': 2156, 'label': '77D8', 'order': 77, 'powers': [225, 237, 258, 35, 20], 'representative': 900, 'size': 2}
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id: 106378787
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 214, 'group_counter': 7, 'group_order': 2156, 'label': '77D-8', 'order': 77, 'powers': [226, 238, 257, 35, 21], 'representative': 1284, 'size': 2}
-
id: 106378788
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 215, 'group_counter': 7, 'group_order': 2156, 'label': '77D9', 'order': 77, 'powers': [229, 243, 252, 32, 22], 'representative': 1016, 'size': 2}
-
id: 106378789
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 216, 'group_counter': 7, 'group_order': 2156, 'label': '77D-9', 'order': 77, 'powers': [230, 244, 251, 32, 23], 'representative': 1168, 'size': 2}
-
id: 106378790
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 217, 'group_counter': 7, 'group_order': 2156, 'label': '77D10', 'order': 77, 'powers': [233, 247, 244, 36, 24], 'representative': 1132, 'size': 2}
-
id: 106378791
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 218, 'group_counter': 7, 'group_order': 2156, 'label': '77D-10', 'order': 77, 'powers': [234, 248, 243, 36, 25], 'representative': 1052, 'size': 2}
-
id: 106378792
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 219, 'group_counter': 7, 'group_order': 2156, 'label': '77D12', 'order': 77, 'powers': [237, 255, 228, 36, 23], 'representative': 1364, 'size': 2}
-
id: 106378794
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 220, 'group_counter': 7, 'group_order': 2156, 'label': '77D-12', 'order': 77, 'powers': [238, 256, 227, 36, 22], 'representative': 820, 'size': 2}
-
id: 106378795
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 221, 'group_counter': 7, 'group_order': 2156, 'label': '77D13', 'order': 77, 'powers': [241, 260, 220, 32, 21], 'representative': 1480, 'size': 2}
-
id: 106378796
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 222, 'group_counter': 7, 'group_order': 2156, 'label': '77D-13', 'order': 77, 'powers': [242, 259, 219, 32, 20], 'representative': 704, 'size': 2}
-
id: 106378797
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 223, 'group_counter': 7, 'group_order': 2156, 'label': '77D15', 'order': 77, 'powers': [247, 252, 204, 33, 20], 'representative': 1684, 'size': 2}
-
id: 106378798
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 224, 'group_counter': 7, 'group_order': 2156, 'label': '77D-15', 'order': 77, 'powers': [248, 251, 203, 33, 21], 'representative': 500, 'size': 2}
-
id: 106378799
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 225, 'group_counter': 7, 'group_order': 2156, 'label': '77D16', 'order': 77, 'powers': [251, 246, 205, 34, 22], 'representative': 1800, 'size': 2}
-
id: 106378800
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 226, 'group_counter': 7, 'group_order': 2156, 'label': '77D-16', 'order': 77, 'powers': [252, 245, 206, 34, 23], 'representative': 384, 'size': 2}
-
id: 106378801
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 227, 'group_counter': 7, 'group_order': 2156, 'label': '77D17', 'order': 77, 'powers': [253, 242, 213, 34, 24], 'representative': 1916, 'size': 2}
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id: 106378802
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id: 106378803
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 229, 'group_counter': 7, 'group_order': 2156, 'label': '77D18', 'order': 77, 'powers': [255, 236, 221, 33, 25], 'representative': 2032, 'size': 2}
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id: 106378805
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 230, 'group_counter': 7, 'group_order': 2156, 'label': '77D-18', 'order': 77, 'powers': [256, 235, 222, 33, 24], 'representative': 152, 'size': 2}
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id: 106378806
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 231, 'group_counter': 7, 'group_order': 2156, 'label': '77D19', 'order': 77, 'powers': [259, 234, 229, 35, 23], 'representative': 2148, 'size': 2}
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id: 106378807
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 232, 'group_counter': 7, 'group_order': 2156, 'label': '77D-19', 'order': 77, 'powers': [260, 233, 230, 35, 22], 'representative': 36, 'size': 2}
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id: 106378808
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 233, 'group_counter': 7, 'group_order': 2156, 'label': '77D20', 'order': 77, 'powers': [258, 228, 235, 32, 21], 'representative': 108, 'size': 2}
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id: 106378809
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 234, 'group_counter': 7, 'group_order': 2156, 'label': '77D-20', 'order': 77, 'powers': [257, 227, 236, 32, 20], 'representative': 2076, 'size': 2}
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id: 106378810
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 235, 'group_counter': 7, 'group_order': 2156, 'label': '77D23', 'order': 77, 'powers': [250, 214, 259, 36, 22], 'representative': 428, 'size': 2}
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id: 106378811
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 236, 'group_counter': 7, 'group_order': 2156, 'label': '77D-23', 'order': 77, 'powers': [249, 213, 260, 36, 23], 'representative': 1756, 'size': 2}
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id: 106378812
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 237, 'group_counter': 7, 'group_order': 2156, 'label': '77D24', 'order': 77, 'powers': [246, 210, 254, 32, 24], 'representative': 544, 'size': 2}
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id: 106378813
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 238, 'group_counter': 7, 'group_order': 2156, 'label': '77D-24', 'order': 77, 'powers': [245, 209, 253, 32, 25], 'representative': 1640, 'size': 2}
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id: 106378814
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 239, 'group_counter': 7, 'group_order': 2156, 'label': '77D25', 'order': 77, 'powers': [244, 204, 246, 35, 25], 'representative': 660, 'size': 2}
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id: 106378816
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 240, 'group_counter': 7, 'group_order': 2156, 'label': '77D-25', 'order': 77, 'powers': [243, 203, 245, 35, 24], 'representative': 1524, 'size': 2}
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id: 106378817
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 241, 'group_counter': 7, 'group_order': 2156, 'label': '77D26', 'order': 77, 'powers': [240, 201, 238, 33, 23], 'representative': 776, 'size': 2}
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id: 106378818
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 242, 'group_counter': 7, 'group_order': 2156, 'label': '77D-26', 'order': 77, 'powers': [239, 202, 237, 33, 22], 'representative': 1408, 'size': 2}
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id: 106378819
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 243, 'group_counter': 7, 'group_order': 2156, 'label': '77D27', 'order': 77, 'powers': [236, 207, 232, 34, 21], 'representative': 892, 'size': 2}
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id: 106378820
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 244, 'group_counter': 7, 'group_order': 2156, 'label': '77D-27', 'order': 77, 'powers': [235, 208, 231, 34, 20], 'representative': 1292, 'size': 2}
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id: 106378821
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 245, 'group_counter': 7, 'group_order': 2156, 'label': '77D29', 'order': 77, 'powers': [232, 217, 216, 33, 20], 'representative': 1096, 'size': 2}
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id: 106378822
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 246, 'group_counter': 7, 'group_order': 2156, 'label': '77D-29', 'order': 77, 'powers': [231, 218, 215, 33, 21], 'representative': 1088, 'size': 2}
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id: 106378823
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 247, 'group_counter': 7, 'group_order': 2156, 'label': '77D30', 'order': 77, 'powers': [228, 221, 208, 35, 22], 'representative': 1212, 'size': 2}
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id: 106378824
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 248, 'group_counter': 7, 'group_order': 2156, 'label': '77D-30', 'order': 77, 'powers': [227, 222, 207, 35, 23], 'representative': 972, 'size': 2}
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id: 106378825
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 249, 'group_counter': 7, 'group_order': 2156, 'label': '77D31', 'order': 77, 'powers': [224, 225, 201, 32, 24], 'representative': 1328, 'size': 2}
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id: 106378827
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 250, 'group_counter': 7, 'group_order': 2156, 'label': '77D-31', 'order': 77, 'powers': [223, 226, 202, 32, 25], 'representative': 856, 'size': 2}
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id: 106378828
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 251, 'group_counter': 7, 'group_order': 2156, 'label': '77D32', 'order': 77, 'powers': [222, 231, 211, 36, 25], 'representative': 1444, 'size': 2}
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id: 106378829
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 252, 'group_counter': 7, 'group_order': 2156, 'label': '77D-32', 'order': 77, 'powers': [221, 232, 212, 36, 24], 'representative': 740, 'size': 2}
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id: 106378830
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 253, 'group_counter': 7, 'group_order': 2156, 'label': '77D34', 'order': 77, 'powers': [216, 239, 225, 36, 21], 'representative': 1676, 'size': 2}
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id: 106378831
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 254, 'group_counter': 7, 'group_order': 2156, 'label': '77D-34', 'order': 77, 'powers': [215, 240, 226, 36, 20], 'representative': 508, 'size': 2}
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id: 106378832
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 255, 'group_counter': 7, 'group_order': 2156, 'label': '77D36', 'order': 77, 'powers': [210, 249, 241, 35, 20], 'representative': 1880, 'size': 2}
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id: 106378833
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 256, 'group_counter': 7, 'group_order': 2156, 'label': '77D-36', 'order': 77, 'powers': [209, 250, 242, 35, 21], 'representative': 304, 'size': 2}
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id: 106378834
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 257, 'group_counter': 7, 'group_order': 2156, 'label': '77D37', 'order': 77, 'powers': [206, 253, 249, 33, 22], 'representative': 1996, 'size': 2}
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id: 106378835
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 258, 'group_counter': 7, 'group_order': 2156, 'label': '77D-37', 'order': 77, 'powers': [205, 254, 250, 33, 23], 'representative': 188, 'size': 2}
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id: 106378836
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 259, 'group_counter': 7, 'group_order': 2156, 'label': '77D38', 'order': 77, 'powers': [202, 257, 255, 34, 24], 'representative': 2112, 'size': 2}
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id: 106378838
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 260, 'group_counter': 7, 'group_order': 2156, 'label': '77D-38', 'order': 77, 'powers': [201, 258, 256, 34, 25], 'representative': 72, 'size': 2}
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id: 106378839
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 261, 'group_counter': 7, 'group_order': 2156, 'label': '77E1', 'order': 77, 'powers': [263, 265, 269, 33, 26], 'representative': 172, 'size': 2}
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id: 106378840
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 262, 'group_counter': 7, 'group_order': 2156, 'label': '77E-1', 'order': 77, 'powers': [264, 266, 270, 33, 27], 'representative': 2012, 'size': 2}
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id: 106378841
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 263, 'group_counter': 7, 'group_order': 2156, 'label': '77E2', 'order': 77, 'powers': [267, 271, 277, 35, 28], 'representative': 344, 'size': 2}
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id: 106378842
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 264, 'group_counter': 7, 'group_order': 2156, 'label': '77E-2', 'order': 77, 'powers': [268, 272, 278, 35, 29], 'representative': 1840, 'size': 2}
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id: 106378843
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 265, 'group_counter': 7, 'group_order': 2156, 'label': '77E3', 'order': 77, 'powers': [271, 275, 283, 36, 30], 'representative': 516, 'size': 2}
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id: 106378844
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 266, 'group_counter': 7, 'group_order': 2156, 'label': '77E-3', 'order': 77, 'powers': [272, 276, 284, 36, 31], 'representative': 1668, 'size': 2}
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id: 106378845
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 267, 'group_counter': 7, 'group_order': 2156, 'label': '77E4', 'order': 77, 'powers': [273, 279, 293, 34, 31], 'representative': 688, 'size': 2}
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id: 106378846
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 268, 'group_counter': 7, 'group_order': 2156, 'label': '77E-4', 'order': 77, 'powers': [274, 280, 294, 34, 30], 'representative': 1496, 'size': 2}
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id: 106378847
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 269, 'group_counter': 7, 'group_order': 2156, 'label': '77E5', 'order': 77, 'powers': [277, 283, 299, 32, 29], 'representative': 860, 'size': 2}
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id: 106378849
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 270, 'group_counter': 7, 'group_order': 2156, 'label': '77E-5', 'order': 77, 'powers': [278, 284, 300, 32, 28], 'representative': 1324, 'size': 2}
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id: 106378850
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 271, 'group_counter': 7, 'group_order': 2156, 'label': '77E6', 'order': 77, 'powers': [279, 289, 307, 32, 27], 'representative': 1032, 'size': 2}
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id: 106378851
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 272, 'group_counter': 7, 'group_order': 2156, 'label': '77E-6', 'order': 77, 'powers': [280, 290, 308, 32, 26], 'representative': 1152, 'size': 2}
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id: 106378852
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 273, 'group_counter': 7, 'group_order': 2156, 'label': '77E8', 'order': 77, 'powers': [285, 297, 318, 36, 26], 'representative': 1348, 'size': 2}
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id: 106378853
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 274, 'group_counter': 7, 'group_order': 2156, 'label': '77E-8', 'order': 77, 'powers': [286, 298, 317, 36, 27], 'representative': 836, 'size': 2}
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id: 106378854
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 275, 'group_counter': 7, 'group_order': 2156, 'label': '77E9', 'order': 77, 'powers': [289, 303, 312, 35, 28], 'representative': 1520, 'size': 2}
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id: 106378855
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 276, 'group_counter': 7, 'group_order': 2156, 'label': '77E-9', 'order': 77, 'powers': [290, 304, 311, 35, 29], 'representative': 664, 'size': 2}
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id: 106378856
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 277, 'group_counter': 7, 'group_order': 2156, 'label': '77E10', 'order': 77, 'powers': [293, 307, 304, 33, 30], 'representative': 1692, 'size': 2}
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id: 106378857
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 278, 'group_counter': 7, 'group_order': 2156, 'label': '77E-10', 'order': 77, 'powers': [294, 308, 303, 33, 31], 'representative': 492, 'size': 2}
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id: 106378858
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 279, 'group_counter': 7, 'group_order': 2156, 'label': '77E12', 'order': 77, 'powers': [297, 315, 288, 33, 29], 'representative': 2036, 'size': 2}
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id: 106378860
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 280, 'group_counter': 7, 'group_order': 2156, 'label': '77E-12', 'order': 77, 'powers': [298, 316, 287, 33, 28], 'representative': 148, 'size': 2}
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id: 106378861
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 281, 'group_counter': 7, 'group_order': 2156, 'label': '77E13', 'order': 77, 'powers': [301, 320, 280, 35, 27], 'representative': 52, 'size': 2}
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id: 106378862
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 282, 'group_counter': 7, 'group_order': 2156, 'label': '77E-13', 'order': 77, 'powers': [302, 319, 279, 35, 26], 'representative': 2132, 'size': 2}
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id: 106378863
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 283, 'group_counter': 7, 'group_order': 2156, 'label': '77E15', 'order': 77, 'powers': [307, 312, 264, 34, 26], 'representative': 368, 'size': 2}
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id: 106378864
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 284, 'group_counter': 7, 'group_order': 2156, 'label': '77E-15', 'order': 77, 'powers': [308, 311, 263, 34, 27], 'representative': 1816, 'size': 2}
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id: 106378865
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 285, 'group_counter': 7, 'group_order': 2156, 'label': '77E16', 'order': 77, 'powers': [311, 306, 265, 32, 28], 'representative': 540, 'size': 2}
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id: 106378866
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 286, 'group_counter': 7, 'group_order': 2156, 'label': '77E-16', 'order': 77, 'powers': [312, 305, 266, 32, 29], 'representative': 1644, 'size': 2}
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id: 106378867
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 287, 'group_counter': 7, 'group_order': 2156, 'label': '77E17', 'order': 77, 'powers': [313, 302, 273, 32, 30], 'representative': 712, 'size': 2}
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id: 106378868
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 288, 'group_counter': 7, 'group_order': 2156, 'label': '77E-17', 'order': 77, 'powers': [314, 301, 274, 32, 31], 'representative': 1472, 'size': 2}
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id: 106378869
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 289, 'group_counter': 7, 'group_order': 2156, 'label': '77E18', 'order': 77, 'powers': [315, 296, 281, 34, 31], 'representative': 884, 'size': 2}
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id: 106378871
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 290, 'group_counter': 7, 'group_order': 2156, 'label': '77E-18', 'order': 77, 'powers': [316, 295, 282, 34, 30], 'representative': 1300, 'size': 2}
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id: 106378872
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 291, 'group_counter': 7, 'group_order': 2156, 'label': '77E19', 'order': 77, 'powers': [319, 294, 289, 36, 29], 'representative': 1056, 'size': 2}
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id: 106378873
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 292, 'group_counter': 7, 'group_order': 2156, 'label': '77E-19', 'order': 77, 'powers': [320, 293, 290, 36, 28], 'representative': 1128, 'size': 2}
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id: 106378874
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 293, 'group_counter': 7, 'group_order': 2156, 'label': '77E20', 'order': 77, 'powers': [318, 288, 295, 35, 27], 'representative': 1228, 'size': 2}
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id: 106378875
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 294, 'group_counter': 7, 'group_order': 2156, 'label': '77E-20', 'order': 77, 'powers': [317, 287, 296, 35, 26], 'representative': 956, 'size': 2}
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id: 106378876
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 295, 'group_counter': 7, 'group_order': 2156, 'label': '77E23', 'order': 77, 'powers': [310, 274, 319, 33, 28], 'representative': 1716, 'size': 2}
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id: 106378877
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 296, 'group_counter': 7, 'group_order': 2156, 'label': '77E-23', 'order': 77, 'powers': [309, 273, 320, 33, 29], 'representative': 468, 'size': 2}
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id: 106378878
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 297, 'group_counter': 7, 'group_order': 2156, 'label': '77E24', 'order': 77, 'powers': [306, 270, 314, 35, 30], 'representative': 1888, 'size': 2}
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id: 106378879
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 298, 'group_counter': 7, 'group_order': 2156, 'label': '77E-24', 'order': 77, 'powers': [305, 269, 313, 35, 31], 'representative': 296, 'size': 2}
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id: 106378880
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 299, 'group_counter': 7, 'group_order': 2156, 'label': '77E25', 'order': 77, 'powers': [304, 264, 306, 36, 31], 'representative': 2060, 'size': 2}
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id: 106378883
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 300, 'group_counter': 7, 'group_order': 2156, 'label': '77E-25', 'order': 77, 'powers': [303, 263, 305, 36, 30], 'representative': 124, 'size': 2}
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id: 106378884
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 301, 'group_counter': 7, 'group_order': 2156, 'label': '77E26', 'order': 77, 'powers': [300, 261, 298, 34, 29], 'representative': 76, 'size': 2}
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id: 106378885
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 302, 'group_counter': 7, 'group_order': 2156, 'label': '77E-26', 'order': 77, 'powers': [299, 262, 297, 34, 28], 'representative': 2108, 'size': 2}
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id: 106378886
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 303, 'group_counter': 7, 'group_order': 2156, 'label': '77E27', 'order': 77, 'powers': [296, 267, 292, 32, 27], 'representative': 248, 'size': 2}
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id: 106378887
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 304, 'group_counter': 7, 'group_order': 2156, 'label': '77E-27', 'order': 77, 'powers': [295, 268, 291, 32, 26], 'representative': 1936, 'size': 2}
-
id: 106378888
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 305, 'group_counter': 7, 'group_order': 2156, 'label': '77E29', 'order': 77, 'powers': [292, 277, 276, 34, 26], 'representative': 564, 'size': 2}
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id: 106378889
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 306, 'group_counter': 7, 'group_order': 2156, 'label': '77E-29', 'order': 77, 'powers': [291, 278, 275, 34, 27], 'representative': 1620, 'size': 2}
-
id: 106378890
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 307, 'group_counter': 7, 'group_order': 2156, 'label': '77E30', 'order': 77, 'powers': [288, 281, 268, 36, 28], 'representative': 736, 'size': 2}
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id: 106378891
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 308, 'group_counter': 7, 'group_order': 2156, 'label': '77E-30', 'order': 77, 'powers': [287, 282, 267, 36, 29], 'representative': 1448, 'size': 2}
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id: 106378892
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 309, 'group_counter': 7, 'group_order': 2156, 'label': '77E31', 'order': 77, 'powers': [284, 285, 261, 35, 30], 'representative': 908, 'size': 2}
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id: 106378894
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 310, 'group_counter': 7, 'group_order': 2156, 'label': '77E-31', 'order': 77, 'powers': [283, 286, 262, 35, 31], 'representative': 1276, 'size': 2}
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id: 106378895
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 311, 'group_counter': 7, 'group_order': 2156, 'label': '77E32', 'order': 77, 'powers': [282, 291, 271, 33, 31], 'representative': 1080, 'size': 2}
-
id: 106378896
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 312, 'group_counter': 7, 'group_order': 2156, 'label': '77E-32', 'order': 77, 'powers': [281, 292, 272, 33, 30], 'representative': 1104, 'size': 2}
-
id: 106378897
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 313, 'group_counter': 7, 'group_order': 2156, 'label': '77E34', 'order': 77, 'powers': [276, 299, 285, 33, 27], 'representative': 1424, 'size': 2}
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id: 106378898
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 314, 'group_counter': 7, 'group_order': 2156, 'label': '77E-34', 'order': 77, 'powers': [275, 300, 286, 33, 26], 'representative': 760, 'size': 2}
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id: 106378899
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 315, 'group_counter': 7, 'group_order': 2156, 'label': '77E36', 'order': 77, 'powers': [270, 309, 301, 36, 26], 'representative': 1740, 'size': 2}
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id: 106378900
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 316, 'group_counter': 7, 'group_order': 2156, 'label': '77E-36', 'order': 77, 'powers': [269, 310, 302, 36, 27], 'representative': 444, 'size': 2}
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id: 106378901
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 317, 'group_counter': 7, 'group_order': 2156, 'label': '77E37', 'order': 77, 'powers': [266, 313, 309, 34, 28], 'representative': 1912, 'size': 2}
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id: 106378902
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 318, 'group_counter': 7, 'group_order': 2156, 'label': '77E-37', 'order': 77, 'powers': [265, 314, 310, 34, 29], 'representative': 272, 'size': 2}
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id: 106378903
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 319, 'group_counter': 7, 'group_order': 2156, 'label': '77E38', 'order': 77, 'powers': [262, 317, 315, 32, 30], 'representative': 2084, 'size': 2}
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id: 106378905
{'aut_label': '77C1', 'centralizer': '2.a1.a1', 'counter': 320, 'group_counter': 7, 'group_order': 2156, 'label': '77E-38', 'order': 77, 'powers': [261, 318, 316, 32, 31], 'representative': 100, 'size': 2}
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id: 106378906
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 321, 'group_counter': 7, 'group_order': 2156, 'label': '154A1', 'order': 154, 'powers': [81, 323, 325, 64, 37], 'representative': 198, 'size': 2}
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id: 106378907
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 322, 'group_counter': 7, 'group_order': 2156, 'label': '154A-1', 'order': 154, 'powers': [82, 324, 326, 64, 38], 'representative': 222, 'size': 2}
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id: 106378908
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 323, 'group_counter': 7, 'group_order': 2156, 'label': '154A3', 'order': 154, 'powers': [85, 327, 331, 65, 39], 'representative': 594, 'size': 2}
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id: 106378909
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 324, 'group_counter': 7, 'group_order': 2156, 'label': '154A-3', 'order': 154, 'powers': [86, 328, 332, 65, 40], 'representative': 610, 'size': 2}
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id: 106378910
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 325, 'group_counter': 7, 'group_order': 2156, 'label': '154A5', 'order': 154, 'powers': [89, 331, 324, 66, 41], 'representative': 990, 'size': 2}
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id: 106378911
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 326, 'group_counter': 7, 'group_order': 2156, 'label': '154A-5', 'order': 154, 'powers': [90, 332, 323, 66, 42], 'representative': 998, 'size': 2}
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id: 106378912
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 327, 'group_counter': 7, 'group_order': 2156, 'label': '154A9', 'order': 154, 'powers': [83, 339, 347, 68, 42], 'representative': 410, 'size': 2}
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id: 106378913
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 328, 'group_counter': 7, 'group_order': 2156, 'label': '154A-9', 'order': 154, 'powers': [84, 340, 348, 68, 41], 'representative': 402, 'size': 2}
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id: 106378914
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 329, 'group_counter': 7, 'group_order': 2156, 'label': '154A13', 'order': 154, 'powers': [99, 334, 337, 68, 38], 'representative': 418, 'size': 2}
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id: 106378916
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 330, 'group_counter': 7, 'group_order': 2156, 'label': '154A-13', 'order': 154, 'powers': [100, 333, 338, 68, 37], 'representative': 394, 'size': 2}
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id: 106378917
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 331, 'group_counter': 7, 'group_order': 2156, 'label': '154A15', 'order': 154, 'powers': [101, 347, 328, 67, 37], 'representative': 786, 'size': 2}
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id: 106378918
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 332, 'group_counter': 7, 'group_order': 2156, 'label': '154A-15', 'order': 154, 'powers': [102, 348, 327, 67, 38], 'representative': 810, 'size': 2}
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id: 106378919
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 333, 'group_counter': 7, 'group_order': 2156, 'label': '154A17', 'order': 154, 'powers': [103, 343, 346, 66, 39], 'representative': 986, 'size': 2}
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id: 106378920
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 334, 'group_counter': 7, 'group_order': 2156, 'label': '154A-17', 'order': 154, 'powers': [104, 344, 345, 66, 40], 'representative': 1002, 'size': 2}
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id: 106378921
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 335, 'group_counter': 7, 'group_order': 2156, 'label': '154A19', 'order': 154, 'powers': [105, 330, 350, 65, 41], 'representative': 598, 'size': 2}
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id: 106378922
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 336, 'group_counter': 7, 'group_order': 2156, 'label': '154A-19', 'order': 154, 'powers': [106, 329, 349, 65, 42], 'representative': 606, 'size': 2}
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id: 106378923
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 337, 'group_counter': 7, 'group_order': 2156, 'label': '154A23', 'order': 154, 'powers': [98, 345, 333, 64, 42], 'representative': 214, 'size': 2}
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id: 106378924
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 338, 'group_counter': 7, 'group_order': 2156, 'label': '154A-23', 'order': 154, 'powers': [97, 346, 334, 64, 41], 'representative': 206, 'size': 2}
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id: 106378925
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 339, 'group_counter': 7, 'group_order': 2156, 'label': '154A27', 'order': 154, 'powers': [91, 350, 336, 66, 38], 'representative': 1006, 'size': 2}
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id: 106378927
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 340, 'group_counter': 7, 'group_order': 2156, 'label': '154A-27', 'order': 154, 'powers': [92, 349, 335, 66, 37], 'representative': 982, 'size': 2}
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id: 106378928
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 341, 'group_counter': 7, 'group_order': 2156, 'label': '154A31', 'order': 154, 'powers': [107, 326, 321, 68, 39], 'representative': 398, 'size': 2}
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id: 106378929
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 342, 'group_counter': 7, 'group_order': 2156, 'label': '154A-31', 'order': 154, 'powers': [108, 325, 322, 68, 40], 'representative': 414, 'size': 2}
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id: 106378930
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 343, 'group_counter': 7, 'group_order': 2156, 'label': '154A37', 'order': 154, 'powers': [110, 322, 341, 67, 42], 'representative': 802, 'size': 2}
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id: 106378931
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 344, 'group_counter': 7, 'group_order': 2156, 'label': '154A-37', 'order': 154, 'powers': [109, 321, 342, 67, 41], 'representative': 794, 'size': 2}
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id: 106378932
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 345, 'group_counter': 7, 'group_order': 2156, 'label': '154A41', 'order': 154, 'powers': [94, 342, 343, 65, 38], 'representative': 614, 'size': 2}
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id: 106378933
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 346, 'group_counter': 7, 'group_order': 2156, 'label': '154A-41', 'order': 154, 'powers': [93, 341, 344, 65, 37], 'representative': 590, 'size': 2}
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id: 106378934
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 347, 'group_counter': 7, 'group_order': 2156, 'label': '154A45', 'order': 154, 'powers': [95, 336, 340, 64, 39], 'representative': 202, 'size': 2}
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id: 106378935
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 348, 'group_counter': 7, 'group_order': 2156, 'label': '154A-45', 'order': 154, 'powers': [96, 335, 339, 64, 40], 'representative': 218, 'size': 2}
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id: 106378936
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 349, 'group_counter': 7, 'group_order': 2156, 'label': '154A59', 'order': 154, 'powers': [88, 337, 330, 67, 39], 'representative': 790, 'size': 2}
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id: 106378938
{'aut_label': '154A1', 'centralizer': '2.a1.a1', 'counter': 350, 'group_counter': 7, 'group_order': 2156, 'label': '154A-59', 'order': 154, 'powers': [87, 338, 329, 67, 40], 'representative': 806, 'size': 2}
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id: 106378939
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 351, 'group_counter': 7, 'group_order': 2156, 'label': '154B1', 'order': 154, 'powers': [111, 352, 353, 65, 43], 'representative': 42, 'size': 2}
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id: 106378940
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 352, 'group_counter': 7, 'group_order': 2156, 'label': '154B3', 'order': 154, 'powers': [113, 354, 356, 68, 44], 'representative': 98, 'size': 2}
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id: 106378941
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 353, 'group_counter': 7, 'group_order': 2156, 'label': '154B5', 'order': 154, 'powers': [115, 356, 360, 67, 45], 'representative': 154, 'size': 2}
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id: 106378942
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 354, 'group_counter': 7, 'group_order': 2156, 'label': '154B9', 'order': 154, 'powers': [118, 361, 368, 66, 45], 'representative': 266, 'size': 2}
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id: 106378943
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 355, 'group_counter': 7, 'group_order': 2156, 'label': '154B13', 'order': 154, 'powers': [121, 365, 375, 66, 43], 'representative': 378, 'size': 2}
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id: 106378944
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 356, 'group_counter': 7, 'group_order': 2156, 'label': '154B15', 'order': 154, 'powers': [122, 368, 380, 64, 43], 'representative': 434, 'size': 2}
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id: 106378945
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 357, 'group_counter': 7, 'group_order': 2156, 'label': '154B17', 'order': 154, 'powers': [124, 370, 377, 67, 44], 'representative': 490, 'size': 2}
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id: 106378946
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 358, 'group_counter': 7, 'group_order': 2156, 'label': '154B19', 'order': 154, 'powers': [126, 372, 373, 68, 45], 'representative': 546, 'size': 2}
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id: 106378947
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 359, 'group_counter': 7, 'group_order': 2156, 'label': '154B23', 'order': 154, 'powers': [128, 377, 365, 65, 45], 'representative': 658, 'size': 2}
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id: 106378949
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 360, 'group_counter': 7, 'group_order': 2156, 'label': '154B25', 'order': 154, 'powers': [130, 380, 362, 68, 44], 'representative': 714, 'size': 2}
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id: 106378950
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 361, 'group_counter': 7, 'group_order': 2156, 'label': '154B27', 'order': 154, 'powers': [132, 379, 358, 67, 43], 'representative': 1414, 'size': 2}
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id: 106378951
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 362, 'group_counter': 7, 'group_order': 2156, 'label': '154B29', 'order': 154, 'powers': [133, 376, 354, 64, 43], 'representative': 826, 'size': 2}
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id: 106378952
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 363, 'group_counter': 7, 'group_order': 2156, 'label': '154B31', 'order': 154, 'powers': [135, 374, 351, 66, 44], 'representative': 882, 'size': 2}
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id: 106378953
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 364, 'group_counter': 7, 'group_order': 2156, 'label': '154B37', 'order': 154, 'powers': [139, 367, 363, 64, 45], 'representative': 1050, 'size': 2}
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id: 106378954
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 365, 'group_counter': 7, 'group_order': 2156, 'label': '154B39', 'order': 154, 'powers': [140, 364, 366, 67, 44], 'representative': 1078, 'size': 2}
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id: 106378955
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 366, 'group_counter': 7, 'group_order': 2156, 'label': '154B41', 'order': 154, 'powers': [138, 363, 370, 68, 43], 'representative': 1022, 'size': 2}
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id: 106378956
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 367, 'group_counter': 7, 'group_order': 2156, 'label': '154B43', 'order': 154, 'powers': [137, 360, 374, 65, 43], 'representative': 1218, 'size': 2}
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id: 106378957
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 368, 'group_counter': 7, 'group_order': 2156, 'label': '154B45', 'order': 154, 'powers': [136, 358, 378, 65, 44], 'representative': 910, 'size': 2}
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id: 106378958
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 369, 'group_counter': 7, 'group_order': 2156, 'label': '154B47', 'order': 154, 'powers': [134, 355, 379, 68, 45], 'representative': 854, 'size': 2}
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id: 106378960
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 370, 'group_counter': 7, 'group_order': 2156, 'label': '154B51', 'order': 154, 'powers': [131, 351, 371, 64, 45], 'representative': 742, 'size': 2}
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id: 106378961
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 371, 'group_counter': 7, 'group_order': 2156, 'label': '154B53', 'order': 154, 'powers': [129, 353, 367, 66, 44], 'representative': 686, 'size': 2}
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id: 106378962
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 372, 'group_counter': 7, 'group_order': 2156, 'label': '154B57', 'order': 154, 'powers': [127, 357, 359, 66, 43], 'representative': 574, 'size': 2}
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id: 106378963
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 373, 'group_counter': 7, 'group_order': 2156, 'label': '154B59', 'order': 154, 'powers': [125, 359, 355, 64, 44], 'representative': 518, 'size': 2}
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id: 106378964
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 374, 'group_counter': 7, 'group_order': 2156, 'label': '154B61', 'order': 154, 'powers': [123, 362, 352, 67, 45], 'representative': 462, 'size': 2}
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id: 106378965
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 375, 'group_counter': 7, 'group_order': 2156, 'label': '154B65', 'order': 154, 'powers': [120, 366, 357, 65, 45], 'representative': 350, 'size': 2}
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id: 106378966
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 376, 'group_counter': 7, 'group_order': 2156, 'label': '154B67', 'order': 154, 'powers': [119, 369, 361, 65, 44], 'representative': 294, 'size': 2}
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id: 106378967
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 377, 'group_counter': 7, 'group_order': 2156, 'label': '154B69', 'order': 154, 'powers': [117, 371, 364, 68, 43], 'representative': 238, 'size': 2}
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id: 106378968
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 378, 'group_counter': 7, 'group_order': 2156, 'label': '154B71', 'order': 154, 'powers': [116, 373, 369, 67, 43], 'representative': 182, 'size': 2}
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id: 106378969
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 379, 'group_counter': 7, 'group_order': 2156, 'label': '154B73', 'order': 154, 'powers': [114, 375, 372, 64, 44], 'representative': 126, 'size': 2}
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id: 106378971
{'aut_label': '154B1', 'centralizer': '2.a1.a1', 'counter': 380, 'group_counter': 7, 'group_order': 2156, 'label': '154B75', 'order': 154, 'powers': [112, 378, 376, 66, 45], 'representative': 70, 'size': 2}
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id: 106378972
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 381, 'group_counter': 7, 'group_order': 2156, 'label': '154C1', 'order': 154, 'powers': [141, 383, 385, 65, 46], 'representative': 30, 'size': 2}
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id: 106378973
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 382, 'group_counter': 7, 'group_order': 2156, 'label': '154C-1', 'order': 154, 'powers': [142, 384, 386, 65, 47], 'representative': 54, 'size': 2}
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id: 106378974
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 383, 'group_counter': 7, 'group_order': 2156, 'label': '154C3', 'order': 154, 'powers': [145, 387, 391, 68, 48], 'representative': 90, 'size': 2}
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id: 106378975
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 384, 'group_counter': 7, 'group_order': 2156, 'label': '154C-3', 'order': 154, 'powers': [146, 388, 392, 68, 49], 'representative': 106, 'size': 2}
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id: 106378976
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 385, 'group_counter': 7, 'group_order': 2156, 'label': '154C5', 'order': 154, 'powers': [149, 391, 399, 67, 50], 'representative': 150, 'size': 2}
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id: 106378977
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 386, 'group_counter': 7, 'group_order': 2156, 'label': '154C-5', 'order': 154, 'powers': [150, 392, 400, 67, 51], 'representative': 158, 'size': 2}
-
id: 106378978
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 387, 'group_counter': 7, 'group_order': 2156, 'label': '154C9', 'order': 154, 'powers': [155, 401, 415, 66, 51], 'representative': 270, 'size': 2}
-
id: 106378979
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 388, 'group_counter': 7, 'group_order': 2156, 'label': '154C-9', 'order': 154, 'powers': [156, 402, 416, 66, 50], 'representative': 262, 'size': 2}
-
id: 106378980
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 389, 'group_counter': 7, 'group_order': 2156, 'label': '154C13', 'order': 154, 'powers': [161, 409, 429, 66, 47], 'representative': 390, 'size': 2}
-
id: 106378982
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 390, 'group_counter': 7, 'group_order': 2156, 'label': '154C-13', 'order': 154, 'powers': [162, 410, 430, 66, 46], 'representative': 366, 'size': 2}
-
id: 106378983
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 391, 'group_counter': 7, 'group_order': 2156, 'label': '154C15', 'order': 154, 'powers': [163, 415, 439, 64, 46], 'representative': 422, 'size': 2}
-
id: 106378984
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 392, 'group_counter': 7, 'group_order': 2156, 'label': '154C-15', 'order': 154, 'powers': [164, 416, 440, 64, 47], 'representative': 446, 'size': 2}
-
id: 106378985
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 393, 'group_counter': 7, 'group_order': 2156, 'label': '154C17', 'order': 154, 'powers': [167, 419, 434, 67, 48], 'representative': 482, 'size': 2}
-
id: 106378986
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 394, 'group_counter': 7, 'group_order': 2156, 'label': '154C-17', 'order': 154, 'powers': [168, 420, 433, 67, 49], 'representative': 498, 'size': 2}
-
id: 106378987
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 395, 'group_counter': 7, 'group_order': 2156, 'label': '154C19', 'order': 154, 'powers': [171, 423, 426, 68, 50], 'representative': 542, 'size': 2}
-
id: 106378988
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 396, 'group_counter': 7, 'group_order': 2156, 'label': '154C-19', 'order': 154, 'powers': [172, 424, 425, 68, 51], 'representative': 550, 'size': 2}
-
id: 106378989
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 397, 'group_counter': 7, 'group_order': 2156, 'label': '154C23', 'order': 154, 'powers': [175, 433, 410, 65, 51], 'representative': 662, 'size': 2}
-
id: 106378990
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 398, 'group_counter': 7, 'group_order': 2156, 'label': '154C-23', 'order': 154, 'powers': [176, 434, 409, 65, 50], 'representative': 654, 'size': 2}
-
id: 106378991
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 399, 'group_counter': 7, 'group_order': 2156, 'label': '154C25', 'order': 154, 'powers': [179, 439, 404, 68, 49], 'representative': 722, 'size': 2}
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id: 106378994
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 400, 'group_counter': 7, 'group_order': 2156, 'label': '154C-25', 'order': 154, 'powers': [180, 440, 403, 68, 48], 'representative': 706, 'size': 2}
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id: 106378995
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 401, 'group_counter': 7, 'group_order': 2156, 'label': '154C27', 'order': 154, 'powers': [183, 438, 396, 67, 47], 'representative': 1426, 'size': 2}
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id: 106378996
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 402, 'group_counter': 7, 'group_order': 2156, 'label': '154C-27', 'order': 154, 'powers': [184, 437, 395, 67, 46], 'representative': 1402, 'size': 2}
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id: 106378997
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 403, 'group_counter': 7, 'group_order': 2156, 'label': '154C29', 'order': 154, 'powers': [185, 432, 388, 64, 46], 'representative': 814, 'size': 2}
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id: 106378998
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 404, 'group_counter': 7, 'group_order': 2156, 'label': '154C-29', 'order': 154, 'powers': [186, 431, 387, 64, 47], 'representative': 838, 'size': 2}
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id: 106378999
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 405, 'group_counter': 7, 'group_order': 2156, 'label': '154C31', 'order': 154, 'powers': [189, 428, 381, 66, 48], 'representative': 874, 'size': 2}
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id: 106379000
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 406, 'group_counter': 7, 'group_order': 2156, 'label': '154C-31', 'order': 154, 'powers': [190, 427, 382, 66, 49], 'representative': 890, 'size': 2}
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id: 106379001
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 407, 'group_counter': 7, 'group_order': 2156, 'label': '154C37', 'order': 154, 'powers': [197, 414, 405, 64, 51], 'representative': 1054, 'size': 2}
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id: 106379002
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 408, 'group_counter': 7, 'group_order': 2156, 'label': '154C-37', 'order': 154, 'powers': [198, 413, 406, 64, 50], 'representative': 1046, 'size': 2}
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id: 106379003
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 409, 'group_counter': 7, 'group_order': 2156, 'label': '154C39', 'order': 154, 'powers': [200, 408, 411, 67, 49], 'representative': 1086, 'size': 2}
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id: 106379005
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 410, 'group_counter': 7, 'group_order': 2156, 'label': '154C-39', 'order': 154, 'powers': [199, 407, 412, 67, 48], 'representative': 1070, 'size': 2}
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id: 106379006
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 411, 'group_counter': 7, 'group_order': 2156, 'label': '154C41', 'order': 154, 'powers': [196, 406, 419, 68, 47], 'representative': 1034, 'size': 2}
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id: 106379007
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 412, 'group_counter': 7, 'group_order': 2156, 'label': '154C-41', 'order': 154, 'powers': [195, 405, 420, 68, 46], 'representative': 1010, 'size': 2}
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id: 106379008
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 413, 'group_counter': 7, 'group_order': 2156, 'label': '154C43', 'order': 154, 'powers': [194, 400, 427, 65, 46], 'representative': 1206, 'size': 2}
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id: 106379009
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 414, 'group_counter': 7, 'group_order': 2156, 'label': '154C-43', 'order': 154, 'powers': [193, 399, 428, 65, 47], 'representative': 1230, 'size': 2}
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id: 106379010
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 415, 'group_counter': 7, 'group_order': 2156, 'label': '154C45', 'order': 154, 'powers': [192, 396, 435, 65, 48], 'representative': 902, 'size': 2}
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id: 106379011
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 416, 'group_counter': 7, 'group_order': 2156, 'label': '154C-45', 'order': 154, 'powers': [191, 395, 436, 65, 49], 'representative': 918, 'size': 2}
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id: 106379012
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 417, 'group_counter': 7, 'group_order': 2156, 'label': '154C47', 'order': 154, 'powers': [188, 390, 438, 68, 50], 'representative': 850, 'size': 2}
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id: 106379013
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 418, 'group_counter': 7, 'group_order': 2156, 'label': '154C-47', 'order': 154, 'powers': [187, 389, 437, 68, 51], 'representative': 858, 'size': 2}
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id: 106379014
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 419, 'group_counter': 7, 'group_order': 2156, 'label': '154C51', 'order': 154, 'powers': [182, 382, 422, 64, 51], 'representative': 746, 'size': 2}
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id: 106379016
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 420, 'group_counter': 7, 'group_order': 2156, 'label': '154C-51', 'order': 154, 'powers': [181, 381, 421, 64, 50], 'representative': 738, 'size': 2}
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id: 106379017
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 421, 'group_counter': 7, 'group_order': 2156, 'label': '154C53', 'order': 154, 'powers': [178, 385, 414, 66, 49], 'representative': 694, 'size': 2}
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id: 106379018
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 422, 'group_counter': 7, 'group_order': 2156, 'label': '154C-53', 'order': 154, 'powers': [177, 386, 413, 66, 48], 'representative': 678, 'size': 2}
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id: 106379019
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 423, 'group_counter': 7, 'group_order': 2156, 'label': '154C57', 'order': 154, 'powers': [174, 393, 398, 66, 46], 'representative': 562, 'size': 2}
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id: 106379020
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 424, 'group_counter': 7, 'group_order': 2156, 'label': '154C-57', 'order': 154, 'powers': [173, 394, 397, 66, 47], 'representative': 586, 'size': 2}
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id: 106379021
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 425, 'group_counter': 7, 'group_order': 2156, 'label': '154C59', 'order': 154, 'powers': [170, 397, 390, 64, 48], 'representative': 510, 'size': 2}
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id: 106379022
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 426, 'group_counter': 7, 'group_order': 2156, 'label': '154C-59', 'order': 154, 'powers': [169, 398, 389, 64, 49], 'representative': 526, 'size': 2}
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id: 106379023
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 427, 'group_counter': 7, 'group_order': 2156, 'label': '154C61', 'order': 154, 'powers': [166, 403, 384, 67, 50], 'representative': 458, 'size': 2}
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id: 106379024
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 428, 'group_counter': 7, 'group_order': 2156, 'label': '154C-61', 'order': 154, 'powers': [165, 404, 383, 67, 51], 'representative': 466, 'size': 2}
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id: 106379025
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 429, 'group_counter': 7, 'group_order': 2156, 'label': '154C65', 'order': 154, 'powers': [160, 411, 393, 65, 51], 'representative': 354, 'size': 2}
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id: 106379027
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 430, 'group_counter': 7, 'group_order': 2156, 'label': '154C-65', 'order': 154, 'powers': [159, 412, 394, 65, 50], 'representative': 346, 'size': 2}
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id: 106379028
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 431, 'group_counter': 7, 'group_order': 2156, 'label': '154C67', 'order': 154, 'powers': [158, 417, 401, 65, 49], 'representative': 302, 'size': 2}
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id: 106379029
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 432, 'group_counter': 7, 'group_order': 2156, 'label': '154C-67', 'order': 154, 'powers': [157, 418, 402, 65, 48], 'representative': 286, 'size': 2}
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id: 106379030
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 433, 'group_counter': 7, 'group_order': 2156, 'label': '154C69', 'order': 154, 'powers': [154, 421, 407, 68, 47], 'representative': 250, 'size': 2}
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id: 106379031
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 434, 'group_counter': 7, 'group_order': 2156, 'label': '154C-69', 'order': 154, 'powers': [153, 422, 408, 68, 46], 'representative': 226, 'size': 2}
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id: 106379032
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 435, 'group_counter': 7, 'group_order': 2156, 'label': '154C71', 'order': 154, 'powers': [152, 425, 417, 67, 46], 'representative': 170, 'size': 2}
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id: 106379033
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 436, 'group_counter': 7, 'group_order': 2156, 'label': '154C-71', 'order': 154, 'powers': [151, 426, 418, 67, 47], 'representative': 194, 'size': 2}
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id: 106379034
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 437, 'group_counter': 7, 'group_order': 2156, 'label': '154C73', 'order': 154, 'powers': [148, 429, 423, 64, 48], 'representative': 118, 'size': 2}
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id: 106379035
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 438, 'group_counter': 7, 'group_order': 2156, 'label': '154C-73', 'order': 154, 'powers': [147, 430, 424, 64, 49], 'representative': 134, 'size': 2}
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id: 106379036
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 439, 'group_counter': 7, 'group_order': 2156, 'label': '154C75', 'order': 154, 'powers': [144, 435, 431, 66, 50], 'representative': 66, 'size': 2}
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id: 106379038
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 440, 'group_counter': 7, 'group_order': 2156, 'label': '154C-75', 'order': 154, 'powers': [143, 436, 432, 66, 51], 'representative': 74, 'size': 2}
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id: 106379039
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 441, 'group_counter': 7, 'group_order': 2156, 'label': '154D1', 'order': 154, 'powers': [201, 443, 445, 66, 52], 'representative': 58, 'size': 2}
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id: 106379040
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 442, 'group_counter': 7, 'group_order': 2156, 'label': '154D-1', 'order': 154, 'powers': [202, 444, 446, 66, 53], 'representative': 82, 'size': 2}
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id: 106379041
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 443, 'group_counter': 7, 'group_order': 2156, 'label': '154D3', 'order': 154, 'powers': [205, 447, 451, 67, 54], 'representative': 174, 'size': 2}
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id: 106379042
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 444, 'group_counter': 7, 'group_order': 2156, 'label': '154D-3', 'order': 154, 'powers': [206, 448, 452, 67, 55], 'representative': 190, 'size': 2}
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id: 106379043
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 445, 'group_counter': 7, 'group_order': 2156, 'label': '154D5', 'order': 154, 'powers': [209, 451, 459, 65, 56], 'representative': 290, 'size': 2}
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id: 106379044
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 446, 'group_counter': 7, 'group_order': 2156, 'label': '154D-5', 'order': 154, 'powers': [210, 452, 460, 65, 57], 'representative': 298, 'size': 2}
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id: 106379045
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 447, 'group_counter': 7, 'group_order': 2156, 'label': '154D9', 'order': 154, 'powers': [215, 461, 475, 64, 57], 'representative': 522, 'size': 2}
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id: 106379046
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 448, 'group_counter': 7, 'group_order': 2156, 'label': '154D-9', 'order': 154, 'powers': [216, 462, 476, 64, 56], 'representative': 514, 'size': 2}
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id: 106379047
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 449, 'group_counter': 7, 'group_order': 2156, 'label': '154D13', 'order': 154, 'powers': [221, 469, 489, 64, 53], 'representative': 754, 'size': 2}
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id: 106379049
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 450, 'group_counter': 7, 'group_order': 2156, 'label': '154D-13', 'order': 154, 'powers': [222, 470, 490, 64, 52], 'representative': 730, 'size': 2}
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id: 106379050
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 451, 'group_counter': 7, 'group_order': 2156, 'label': '154D15', 'order': 154, 'powers': [223, 475, 499, 68, 52], 'representative': 842, 'size': 2}
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id: 106379051
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 452, 'group_counter': 7, 'group_order': 2156, 'label': '154D-15', 'order': 154, 'powers': [224, 476, 500, 68, 53], 'representative': 866, 'size': 2}
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id: 106379052
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 453, 'group_counter': 7, 'group_order': 2156, 'label': '154D17', 'order': 154, 'powers': [227, 479, 494, 65, 54], 'representative': 1210, 'size': 2}
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id: 106379053
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 454, 'group_counter': 7, 'group_order': 2156, 'label': '154D-17', 'order': 154, 'powers': [228, 480, 493, 65, 55], 'representative': 1226, 'size': 2}
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id: 106379054
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 455, 'group_counter': 7, 'group_order': 2156, 'label': '154D19', 'order': 154, 'powers': [231, 483, 486, 67, 56], 'representative': 1074, 'size': 2}
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id: 106379055
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 456, 'group_counter': 7, 'group_order': 2156, 'label': '154D-19', 'order': 154, 'powers': [232, 484, 485, 67, 57], 'representative': 1082, 'size': 2}
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id: 106379056
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 457, 'group_counter': 7, 'group_order': 2156, 'label': '154D23', 'order': 154, 'powers': [235, 493, 470, 66, 57], 'representative': 886, 'size': 2}
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id: 106379057
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 458, 'group_counter': 7, 'group_order': 2156, 'label': '154D-23', 'order': 154, 'powers': [236, 494, 469, 66, 56], 'representative': 878, 'size': 2}
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id: 106379058
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 459, 'group_counter': 7, 'group_order': 2156, 'label': '154D25', 'order': 154, 'powers': [239, 499, 464, 67, 55], 'representative': 1422, 'size': 2}
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id: 106379060
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 460, 'group_counter': 7, 'group_order': 2156, 'label': '154D-25', 'order': 154, 'powers': [240, 500, 463, 67, 54], 'representative': 1406, 'size': 2}
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id: 106379061
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 461, 'group_counter': 7, 'group_order': 2156, 'label': '154D27', 'order': 154, 'powers': [243, 498, 456, 65, 53], 'representative': 670, 'size': 2}
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id: 106379062
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 462, 'group_counter': 7, 'group_order': 2156, 'label': '154D-27', 'order': 154, 'powers': [244, 497, 455, 65, 52], 'representative': 646, 'size': 2}
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id: 106379063
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 463, 'group_counter': 7, 'group_order': 2156, 'label': '154D29', 'order': 154, 'powers': [245, 492, 448, 68, 52], 'representative': 534, 'size': 2}
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id: 106379064
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 464, 'group_counter': 7, 'group_order': 2156, 'label': '154D-29', 'order': 154, 'powers': [246, 491, 447, 68, 53], 'representative': 558, 'size': 2}
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id: 106379065
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 465, 'group_counter': 7, 'group_order': 2156, 'label': '154D31', 'order': 154, 'powers': [249, 488, 441, 64, 54], 'representative': 426, 'size': 2}
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id: 106379066
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 466, 'group_counter': 7, 'group_order': 2156, 'label': '154D-31', 'order': 154, 'powers': [250, 487, 442, 64, 55], 'representative': 442, 'size': 2}
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id: 106379067
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 467, 'group_counter': 7, 'group_order': 2156, 'label': '154D37', 'order': 154, 'powers': [257, 474, 465, 68, 57], 'representative': 102, 'size': 2}
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id: 106379068
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 468, 'group_counter': 7, 'group_order': 2156, 'label': '154D-37', 'order': 154, 'powers': [258, 473, 466, 68, 56], 'representative': 94, 'size': 2}
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id: 106379069
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 469, 'group_counter': 7, 'group_order': 2156, 'label': '154D39', 'order': 154, 'powers': [260, 468, 471, 65, 55], 'representative': 50, 'size': 2}
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id: 106379071
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 470, 'group_counter': 7, 'group_order': 2156, 'label': '154D-39', 'order': 154, 'powers': [259, 467, 472, 65, 54], 'representative': 34, 'size': 2}
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id: 106379072
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 471, 'group_counter': 7, 'group_order': 2156, 'label': '154D41', 'order': 154, 'powers': [256, 466, 479, 67, 53], 'representative': 166, 'size': 2}
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id: 106379073
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 472, 'group_counter': 7, 'group_order': 2156, 'label': '154D-41', 'order': 154, 'powers': [255, 465, 480, 67, 52], 'representative': 142, 'size': 2}
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id: 106379074
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 473, 'group_counter': 7, 'group_order': 2156, 'label': '154D43', 'order': 154, 'powers': [254, 460, 487, 66, 52], 'representative': 254, 'size': 2}
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id: 106379075
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 474, 'group_counter': 7, 'group_order': 2156, 'label': '154D-43', 'order': 154, 'powers': [253, 459, 488, 66, 53], 'representative': 278, 'size': 2}
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id: 106379076
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 475, 'group_counter': 7, 'group_order': 2156, 'label': '154D45', 'order': 154, 'powers': [252, 456, 495, 66, 54], 'representative': 370, 'size': 2}
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id: 106379077
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 476, 'group_counter': 7, 'group_order': 2156, 'label': '154D-45', 'order': 154, 'powers': [251, 455, 496, 66, 55], 'representative': 386, 'size': 2}
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id: 106379078
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 477, 'group_counter': 7, 'group_order': 2156, 'label': '154D47', 'order': 154, 'powers': [248, 450, 498, 67, 56], 'representative': 486, 'size': 2}
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id: 106379079
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 478, 'group_counter': 7, 'group_order': 2156, 'label': '154D-47', 'order': 154, 'powers': [247, 449, 497, 67, 57], 'representative': 494, 'size': 2}
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id: 106379080
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 479, 'group_counter': 7, 'group_order': 2156, 'label': '154D51', 'order': 154, 'powers': [242, 442, 482, 68, 57], 'representative': 718, 'size': 2}
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id: 106379082
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 480, 'group_counter': 7, 'group_order': 2156, 'label': '154D-51', 'order': 154, 'powers': [241, 441, 481, 68, 56], 'representative': 710, 'size': 2}
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id: 106379083
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 481, 'group_counter': 7, 'group_order': 2156, 'label': '154D53', 'order': 154, 'powers': [238, 445, 474, 64, 55], 'representative': 834, 'size': 2}
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id: 106379084
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 482, 'group_counter': 7, 'group_order': 2156, 'label': '154D-53', 'order': 154, 'powers': [237, 446, 473, 64, 54], 'representative': 818, 'size': 2}
-
id: 106379085
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 483, 'group_counter': 7, 'group_order': 2156, 'label': '154D57', 'order': 154, 'powers': [234, 453, 458, 64, 52], 'representative': 1038, 'size': 2}
-
id: 106379086
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 484, 'group_counter': 7, 'group_order': 2156, 'label': '154D-57', 'order': 154, 'powers': [233, 454, 457, 64, 53], 'representative': 1062, 'size': 2}
-
id: 106379087
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 485, 'group_counter': 7, 'group_order': 2156, 'label': '154D59', 'order': 154, 'powers': [230, 457, 450, 68, 54], 'representative': 1014, 'size': 2}
-
id: 106379088
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 486, 'group_counter': 7, 'group_order': 2156, 'label': '154D-59', 'order': 154, 'powers': [229, 458, 449, 68, 55], 'representative': 1030, 'size': 2}
-
id: 106379089
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 487, 'group_counter': 7, 'group_order': 2156, 'label': '154D61', 'order': 154, 'powers': [226, 463, 444, 65, 56], 'representative': 906, 'size': 2}
-
id: 106379090
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 488, 'group_counter': 7, 'group_order': 2156, 'label': '154D-61', 'order': 154, 'powers': [225, 464, 443, 65, 57], 'representative': 914, 'size': 2}
-
id: 106379091
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 489, 'group_counter': 7, 'group_order': 2156, 'label': '154D65', 'order': 154, 'powers': [220, 471, 453, 66, 57], 'representative': 690, 'size': 2}
-
id: 106379093
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 490, 'group_counter': 7, 'group_order': 2156, 'label': '154D-65', 'order': 154, 'powers': [219, 472, 454, 66, 56], 'representative': 682, 'size': 2}
-
id: 106379094
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 491, 'group_counter': 7, 'group_order': 2156, 'label': '154D67', 'order': 154, 'powers': [218, 477, 461, 66, 55], 'representative': 582, 'size': 2}
-
id: 106379095
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 492, 'group_counter': 7, 'group_order': 2156, 'label': '154D-67', 'order': 154, 'powers': [217, 478, 462, 66, 54], 'representative': 566, 'size': 2}
-
id: 106379096
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 493, 'group_counter': 7, 'group_order': 2156, 'label': '154D69', 'order': 154, 'powers': [214, 481, 467, 67, 53], 'representative': 474, 'size': 2}
-
id: 106379097
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 494, 'group_counter': 7, 'group_order': 2156, 'label': '154D-69', 'order': 154, 'powers': [213, 482, 468, 67, 52], 'representative': 450, 'size': 2}
-
id: 106379098
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 495, 'group_counter': 7, 'group_order': 2156, 'label': '154D71', 'order': 154, 'powers': [212, 485, 477, 65, 52], 'representative': 338, 'size': 2}
-
id: 106379099
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 496, 'group_counter': 7, 'group_order': 2156, 'label': '154D-71', 'order': 154, 'powers': [211, 486, 478, 65, 53], 'representative': 362, 'size': 2}
-
id: 106379100
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 497, 'group_counter': 7, 'group_order': 2156, 'label': '154D73', 'order': 154, 'powers': [208, 489, 483, 68, 54], 'representative': 230, 'size': 2}
-
id: 106379101
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 498, 'group_counter': 7, 'group_order': 2156, 'label': '154D-73', 'order': 154, 'powers': [207, 490, 484, 68, 55], 'representative': 246, 'size': 2}
-
id: 106379102
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 499, 'group_counter': 7, 'group_order': 2156, 'label': '154D75', 'order': 154, 'powers': [204, 495, 491, 64, 56], 'representative': 122, 'size': 2}
-
id: 106379105
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 500, 'group_counter': 7, 'group_order': 2156, 'label': '154D-75', 'order': 154, 'powers': [203, 496, 492, 64, 57], 'representative': 130, 'size': 2}
-
id: 106379106
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 501, 'group_counter': 7, 'group_order': 2156, 'label': '154E1', 'order': 154, 'powers': [261, 503, 505, 68, 58], 'representative': 86, 'size': 2}
-
id: 106379107
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 502, 'group_counter': 7, 'group_order': 2156, 'label': '154E-1', 'order': 154, 'powers': [262, 504, 506, 68, 59], 'representative': 110, 'size': 2}
-
id: 106379108
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 503, 'group_counter': 7, 'group_order': 2156, 'label': '154E3', 'order': 154, 'powers': [265, 507, 511, 66, 60], 'representative': 258, 'size': 2}
-
id: 106379109
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 504, 'group_counter': 7, 'group_order': 2156, 'label': '154E-3', 'order': 154, 'powers': [266, 508, 512, 66, 61], 'representative': 274, 'size': 2}
-
id: 106379110
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 505, 'group_counter': 7, 'group_order': 2156, 'label': '154E5', 'order': 154, 'powers': [269, 511, 519, 64, 62], 'representative': 430, 'size': 2}
-
id: 106379111
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 506, 'group_counter': 7, 'group_order': 2156, 'label': '154E-5', 'order': 154, 'powers': [270, 512, 520, 64, 63], 'representative': 438, 'size': 2}
-
id: 106379112
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 507, 'group_counter': 7, 'group_order': 2156, 'label': '154E9', 'order': 154, 'powers': [275, 521, 535, 67, 63], 'representative': 1418, 'size': 2}
-
id: 106379113
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 508, 'group_counter': 7, 'group_order': 2156, 'label': '154E-9', 'order': 154, 'powers': [276, 522, 536, 67, 62], 'representative': 1410, 'size': 2}
-
id: 106379114
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 509, 'group_counter': 7, 'group_order': 2156, 'label': '154E13', 'order': 154, 'powers': [281, 529, 549, 67, 59], 'representative': 1090, 'size': 2}
-
id: 106379116
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 510, 'group_counter': 7, 'group_order': 2156, 'label': '154E-13', 'order': 154, 'powers': [282, 530, 550, 67, 58], 'representative': 1066, 'size': 2}
-
id: 106379117
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 511, 'group_counter': 7, 'group_order': 2156, 'label': '154E15', 'order': 154, 'powers': [283, 535, 559, 65, 58], 'representative': 898, 'size': 2}
-
id: 106379118
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 512, 'group_counter': 7, 'group_order': 2156, 'label': '154E-15', 'order': 154, 'powers': [284, 536, 560, 65, 59], 'representative': 922, 'size': 2}
-
id: 106379119
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 513, 'group_counter': 7, 'group_order': 2156, 'label': '154E17', 'order': 154, 'powers': [287, 539, 554, 64, 60], 'representative': 734, 'size': 2}
-
id: 106379120
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 514, 'group_counter': 7, 'group_order': 2156, 'label': '154E-17', 'order': 154, 'powers': [288, 540, 553, 64, 61], 'representative': 750, 'size': 2}
-
id: 106379121
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 515, 'group_counter': 7, 'group_order': 2156, 'label': '154E19', 'order': 154, 'powers': [291, 543, 546, 66, 62], 'representative': 570, 'size': 2}
-
id: 106379122
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 516, 'group_counter': 7, 'group_order': 2156, 'label': '154E-19', 'order': 154, 'powers': [292, 544, 545, 66, 63], 'representative': 578, 'size': 2}
-
id: 106379123
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 517, 'group_counter': 7, 'group_order': 2156, 'label': '154E23', 'order': 154, 'powers': [295, 553, 530, 68, 63], 'representative': 242, 'size': 2}
-
id: 106379124
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 518, 'group_counter': 7, 'group_order': 2156, 'label': '154E-23', 'order': 154, 'powers': [296, 554, 529, 68, 62], 'representative': 234, 'size': 2}
-
id: 106379125
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 519, 'group_counter': 7, 'group_order': 2156, 'label': '154E25', 'order': 154, 'powers': [299, 559, 524, 66, 61], 'representative': 78, 'size': 2}
-
id: 106379127
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 520, 'group_counter': 7, 'group_order': 2156, 'label': '154E-25', 'order': 154, 'powers': [300, 560, 523, 66, 60], 'representative': 62, 'size': 2}
-
id: 106379128
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 521, 'group_counter': 7, 'group_order': 2156, 'label': '154E27', 'order': 154, 'powers': [303, 558, 516, 64, 59], 'representative': 138, 'size': 2}
-
id: 106379129
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 522, 'group_counter': 7, 'group_order': 2156, 'label': '154E-27', 'order': 154, 'powers': [304, 557, 515, 64, 58], 'representative': 114, 'size': 2}
-
id: 106379130
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 523, 'group_counter': 7, 'group_order': 2156, 'label': '154E29', 'order': 154, 'powers': [305, 552, 508, 65, 58], 'representative': 282, 'size': 2}
-
id: 106379131
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 524, 'group_counter': 7, 'group_order': 2156, 'label': '154E-29', 'order': 154, 'powers': [306, 551, 507, 65, 59], 'representative': 306, 'size': 2}
-
id: 106379132
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 525, 'group_counter': 7, 'group_order': 2156, 'label': '154E31', 'order': 154, 'powers': [309, 548, 501, 67, 60], 'representative': 454, 'size': 2}
-
id: 106379133
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 526, 'group_counter': 7, 'group_order': 2156, 'label': '154E-31', 'order': 154, 'powers': [310, 547, 502, 67, 61], 'representative': 470, 'size': 2}
-
id: 106379134
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 527, 'group_counter': 7, 'group_order': 2156, 'label': '154E37', 'order': 154, 'powers': [317, 534, 525, 65, 63], 'representative': 1222, 'size': 2}
-
id: 106379135
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 528, 'group_counter': 7, 'group_order': 2156, 'label': '154E-37', 'order': 154, 'powers': [318, 533, 526, 65, 62], 'representative': 1214, 'size': 2}
-
id: 106379136
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 529, 'group_counter': 7, 'group_order': 2156, 'label': '154E39', 'order': 154, 'powers': [320, 528, 531, 64, 61], 'representative': 1058, 'size': 2}
-
id: 106379138
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 530, 'group_counter': 7, 'group_order': 2156, 'label': '154E-39', 'order': 154, 'powers': [319, 527, 532, 64, 60], 'representative': 1042, 'size': 2}
-
id: 106379139
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 531, 'group_counter': 7, 'group_order': 2156, 'label': '154E41', 'order': 154, 'powers': [316, 526, 539, 66, 59], 'representative': 894, 'size': 2}
-
id: 106379140
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 532, 'group_counter': 7, 'group_order': 2156, 'label': '154E-41', 'order': 154, 'powers': [315, 525, 540, 66, 58], 'representative': 870, 'size': 2}
-
id: 106379141
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 533, 'group_counter': 7, 'group_order': 2156, 'label': '154E43', 'order': 154, 'powers': [314, 520, 547, 68, 58], 'representative': 702, 'size': 2}
-
id: 106379142
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 534, 'group_counter': 7, 'group_order': 2156, 'label': '154E-43', 'order': 154, 'powers': [313, 519, 548, 68, 59], 'representative': 726, 'size': 2}
-
id: 106379143
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 535, 'group_counter': 7, 'group_order': 2156, 'label': '154E45', 'order': 154, 'powers': [312, 516, 555, 68, 60], 'representative': 538, 'size': 2}
-
id: 106379144
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 536, 'group_counter': 7, 'group_order': 2156, 'label': '154E-45', 'order': 154, 'powers': [311, 515, 556, 68, 61], 'representative': 554, 'size': 2}
-
id: 106379145
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 537, 'group_counter': 7, 'group_order': 2156, 'label': '154E47', 'order': 154, 'powers': [308, 510, 558, 66, 62], 'representative': 374, 'size': 2}
-
id: 106379146
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 538, 'group_counter': 7, 'group_order': 2156, 'label': '154E-47', 'order': 154, 'powers': [307, 509, 557, 66, 63], 'representative': 382, 'size': 2}
-
id: 106379147
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 539, 'group_counter': 7, 'group_order': 2156, 'label': '154E51', 'order': 154, 'powers': [302, 502, 542, 65, 63], 'representative': 46, 'size': 2}
-
id: 106379149
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 540, 'group_counter': 7, 'group_order': 2156, 'label': '154E-51', 'order': 154, 'powers': [301, 501, 541, 65, 62], 'representative': 38, 'size': 2}
-
id: 106379150
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 541, 'group_counter': 7, 'group_order': 2156, 'label': '154E53', 'order': 154, 'powers': [298, 505, 534, 67, 61], 'representative': 162, 'size': 2}
-
id: 106379151
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 542, 'group_counter': 7, 'group_order': 2156, 'label': '154E-53', 'order': 154, 'powers': [297, 506, 533, 67, 60], 'representative': 146, 'size': 2}
-
id: 106379152
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 543, 'group_counter': 7, 'group_order': 2156, 'label': '154E57', 'order': 154, 'powers': [294, 513, 518, 67, 58], 'representative': 478, 'size': 2}
-
id: 106379153
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 544, 'group_counter': 7, 'group_order': 2156, 'label': '154E-57', 'order': 154, 'powers': [293, 514, 517, 67, 59], 'representative': 502, 'size': 2}
-
id: 106379154
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 545, 'group_counter': 7, 'group_order': 2156, 'label': '154E59', 'order': 154, 'powers': [290, 517, 510, 65, 60], 'representative': 650, 'size': 2}
-
id: 106379155
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 546, 'group_counter': 7, 'group_order': 2156, 'label': '154E-59', 'order': 154, 'powers': [289, 518, 509, 65, 61], 'representative': 666, 'size': 2}
-
id: 106379156
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 547, 'group_counter': 7, 'group_order': 2156, 'label': '154E61', 'order': 154, 'powers': [286, 523, 504, 64, 62], 'representative': 822, 'size': 2}
-
id: 106379157
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 548, 'group_counter': 7, 'group_order': 2156, 'label': '154E-61', 'order': 154, 'powers': [285, 524, 503, 64, 63], 'representative': 830, 'size': 2}
-
id: 106379158
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 549, 'group_counter': 7, 'group_order': 2156, 'label': '154E65', 'order': 154, 'powers': [280, 531, 513, 68, 63], 'representative': 1026, 'size': 2}
-
id: 106379160
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 550, 'group_counter': 7, 'group_order': 2156, 'label': '154E-65', 'order': 154, 'powers': [279, 532, 514, 68, 62], 'representative': 1018, 'size': 2}
-
id: 106379161
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 551, 'group_counter': 7, 'group_order': 2156, 'label': '154E67', 'order': 154, 'powers': [278, 537, 521, 68, 61], 'representative': 862, 'size': 2}
-
id: 106379162
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 552, 'group_counter': 7, 'group_order': 2156, 'label': '154E-67', 'order': 154, 'powers': [277, 538, 522, 68, 60], 'representative': 846, 'size': 2}
-
id: 106379163
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 553, 'group_counter': 7, 'group_order': 2156, 'label': '154E69', 'order': 154, 'powers': [274, 541, 527, 66, 59], 'representative': 698, 'size': 2}
-
id: 106379164
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 554, 'group_counter': 7, 'group_order': 2156, 'label': '154E-69', 'order': 154, 'powers': [273, 542, 528, 66, 58], 'representative': 674, 'size': 2}
-
id: 106379165
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 555, 'group_counter': 7, 'group_order': 2156, 'label': '154E71', 'order': 154, 'powers': [272, 545, 537, 64, 58], 'representative': 506, 'size': 2}
-
id: 106379166
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 556, 'group_counter': 7, 'group_order': 2156, 'label': '154E-71', 'order': 154, 'powers': [271, 546, 538, 64, 59], 'representative': 530, 'size': 2}
-
id: 106379167
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 557, 'group_counter': 7, 'group_order': 2156, 'label': '154E73', 'order': 154, 'powers': [268, 549, 543, 65, 60], 'representative': 342, 'size': 2}
-
id: 106379168
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 558, 'group_counter': 7, 'group_order': 2156, 'label': '154E-73', 'order': 154, 'powers': [267, 550, 544, 65, 61], 'representative': 358, 'size': 2}
-
id: 106379169
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 559, 'group_counter': 7, 'group_order': 2156, 'label': '154E75', 'order': 154, 'powers': [264, 555, 551, 67, 62], 'representative': 178, 'size': 2}
-
id: 106379171
{'aut_label': '154C1', 'centralizer': '2.a1.a1', 'counter': 560, 'group_counter': 7, 'group_order': 2156, 'label': '154E-75', 'order': 154, 'powers': [263, 556, 552, 67, 63], 'representative': 186, 'size': 2}
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gps_qchar • Show schema
Hide schema
-
id: 3686571
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id: 3686574
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id: 3686575
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id: 3686576
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id: 3686577
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id: 3686578
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id: 3686579
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id: 3686580
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id: 3686581
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id: 3686583
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id: 3686584
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id: 3686585
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id: 3686586
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id: 3686587
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id: 3686588
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-
id: 3686589
{'cdim': 2, 'counter': 26, 'faithful': True, 'group': '2156.g', 'group_order': 2156, 'image': None, 'label': '2156.g.2t', 'multiplicity': 60, 'nt': [308, 0], 'qdim': 120, 'qvalues': [120, -120, 0, 0, -20, -20, -20, -20, -20, -20, 50, -20, 50, -20, -20, 50, -20, -20, -20, -20, 50, 50, -20, 50, -20, -20, -20, -20, -20, -20, -20, -12, -12, -12, -12, -12, 20, 20, 20, 20, 20, 20, -50, 20, -50, 20, -50, 20, 20, 20, 20, 20, -50, -50, 20, 20, 20, -50, 20, 20, 20, 20, 20, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, -5, 2, 2, -5, 2, 2, -5, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, -5, 2, -5, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, -5, -5, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, 2, -5, 2, -5, -5, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, -5, -5, 2, -5, 2, 2, 2, -5, 2, 2, -5, 2, 2, -5, 2, -5, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, -5, -5, 2, 2, 2, -5, 2, 2, -5, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 5, -2, 5, 5, -2, 5, 5, 5, -2, -2, -2, 5, -2, -2, 5, 5, -2, 5, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, -2, 5, -2, -2, 5, -2, -2, -2, 5, 5, 5, -2, -2, -2, -2, -2, -2, -2, 5, 5, 5, -2, 5, -2, 5, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, 5, -2, -2, -2, 5, -2, -2, 5, -2, -2, -2, 5, -2, 5, 5, -2, -2, -2, -2, -2, 5, -2, 5, 5, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, 5, -2, -2, 5, -2, 5, -2, 5, -2, -2, 5, -2, 5, -2, -2, -2, 5, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2], 'schur_index': 1}
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group 2156.g does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 60119870
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': True, 'core_order': 2156, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 154, 'label': '2156.g.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2156.g', 'subgroup_hash': 8690780688732927673, 'subgroup_order': 2156, 'subgroup_tex': 'C_{77}:C_{28}', 'supersolvable': True, 'sylow': 0}
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id: 60119881
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 1078, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '2156.g.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S', 'C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1078.10', 'subgroup_hash': 10, 'subgroup_order': 1078, 'subgroup_tex': 'C_7\\times C_{154}', 'supersolvable': True, 'sylow': 0}
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id: 60119892
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 539, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 77, 'label': '2156.g.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '539.2', 'subgroup_hash': 2, 'subgroup_order': 539, 'subgroup_tex': 'C_7\\times C_{77}', 'supersolvable': True, 'sylow': 0}
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id: 60119900
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': True, 'centralizer_order': 14, 'characteristic': True, 'core_order': 308, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '2156.g.7.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '7.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '7.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 7, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '308.3', 'subgroup_hash': 3, 'subgroup_order': 308, 'subgroup_tex': 'C_{77}:C_4', 'supersolvable': True, 'sylow': 0}
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id: 60119901
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': False, 'core_order': 154, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2156.g.7.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '308.2', 'subgroup_hash': 2, 'subgroup_order': 308, 'subgroup_tex': 'C_{11}:C_{28}', 'supersolvable': True, 'sylow': 0}
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id: 60119902
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': False, 'core_order': 98, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '2156.g.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.5', 'subgroup_hash': 5, 'subgroup_order': 196, 'subgroup_tex': 'C_7:C_{28}', 'supersolvable': True, 'sylow': 0}
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id: 60119903
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 154, 'counter': 7, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '2156.g.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '154.4', 'subgroup_hash': 4, 'subgroup_order': 154, 'subgroup_tex': 'C_{154}', 'supersolvable': True, 'sylow': 0}
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id: 60119904
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 154, 'counter': 8, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '2156.g.14.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '154.4', 'subgroup_hash': 4, 'subgroup_order': 154, 'subgroup_tex': 'C_{154}', 'supersolvable': True, 'sylow': 0}
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id: 60119905
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 22, 'counter': 9, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.14.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '154.4', 'subgroup_hash': 4, 'subgroup_order': 154, 'subgroup_tex': 'C_{154}', 'supersolvable': True, 'sylow': 0}
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id: 60119871
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 22, 'counter': 10, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.14.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '154.4', 'subgroup_hash': 4, 'subgroup_order': 154, 'subgroup_tex': 'C_{154}', 'supersolvable': True, 'sylow': 0}
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id: 60119872
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 22, 'counter': 11, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.14.c1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.c1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '154.4', 'subgroup_hash': 4, 'subgroup_order': 154, 'subgroup_tex': 'C_{154}', 'supersolvable': True, 'sylow': 0}
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id: 60119873
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 98, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '2156.g.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '22.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '22.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 22, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '98.5', 'subgroup_hash': 5, 'subgroup_order': 98, 'subgroup_tex': 'C_7\\times C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 60119874
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 77, 'counter': 13, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '2156.g.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '77.1', 'subgroup_hash': 1, 'subgroup_order': 77, 'subgroup_tex': 'C_{77}', 'supersolvable': True, 'sylow': 0}
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id: 60119875
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 77, 'counter': 14, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '2156.g.28.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '77.1', 'subgroup_hash': 1, 'subgroup_order': 77, 'subgroup_tex': 'C_{77}', 'supersolvable': True, 'sylow': 0}
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id: 60119876
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 11, 'counter': 15, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.28.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '77.1', 'subgroup_hash': 1, 'subgroup_order': 77, 'subgroup_tex': 'C_{77}', 'supersolvable': True, 'sylow': 0}
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id: 60119877
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 11, 'counter': 16, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.28.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '77.1', 'subgroup_hash': 1, 'subgroup_order': 77, 'subgroup_tex': 'C_{77}', 'supersolvable': True, 'sylow': 0}
-
id: 60119878
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 11, 'counter': 17, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.28.c1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.c1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '77.1', 'subgroup_hash': 1, 'subgroup_order': 77, 'subgroup_tex': 'C_{77}', 'supersolvable': True, 'sylow': 0}
-
id: 60119879
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 49, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 7, 'label': '2156.g.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '44.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '49.2', 'subgroup_hash': 2, 'subgroup_order': 49, 'subgroup_tex': 'C_7^2', 'supersolvable': True, 'sylow': 7}
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id: 60119880
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': False, 'core_order': 22, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 22, 'label': '2156.g.49.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '49.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 49, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
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id: 60119882
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 14, 'counter': 20, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.77.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '77.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 77, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
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id: 60119883
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': False, 'core_order': 14, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2156.g.77.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '77.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 77, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
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id: 60119884
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 22, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '2156.g.98.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '98.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '98.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 98, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 60119885
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 2156, 'characteristic': True, 'core_order': 14, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '2156.g.154.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '154.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '154.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 154, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{77}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
-
id: 60119886
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 14, 'counter': 24, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '2156.g.154.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '154.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '154.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 154, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
-
id: 60119887
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 2, 'counter': 25, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.154.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '154.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 154, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 60119888
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 2, 'counter': 26, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.154.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '154.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 154, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
-
id: 60119889
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 2, 'counter': 27, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.154.c1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '154.c1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 154, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 60119890
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 11, 'counter': 28, 'cyclic': True, 'direct': False, 'hall': 11, 'label': '2156.g.196.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '196.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '196.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 196, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_{28}', 'simple': True, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 11}
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id: 60119891
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 2156, 'characteristic': True, 'core_order': 7, 'counter': 29, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '2156.g.308.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '308.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '308.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 308, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{77}:C_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
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id: 60119893
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': True, 'core_order': 7, 'counter': 30, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '2156.g.308.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '308.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '308.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 308, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{28}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
-
id: 60119894
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 1, 'counter': 31, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.308.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '308.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 308, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
-
id: 60119895
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 1, 'counter': 32, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.308.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '308.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 308, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
-
id: 60119896
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 1078, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2156.g.308.c1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '308.c1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 308, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
-
id: 60119897
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 2, 'counter': 34, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '2156.g.539.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '539.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 539, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 2}
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id: 60119898
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 2156, 'characteristic': True, 'core_order': 2, 'counter': 35, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '2156.g.1078.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1078.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1078.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1078, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_{77}', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 60119899
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2156.g', 'ambient_counter': 7, 'ambient_order': 2156, 'ambient_tex': 'C_{77}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 2156, 'characteristic': True, 'core_order': 1, 'counter': 36, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '2156.g.2156.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2156.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '2156.g', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8690780688732927673, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2156, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{77}:C_{28}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C5'], '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: 60119880
{'ambient': '2156.g', 'aut_centralizer_order': 36, 'aut_label': '49.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '220.7', 'aut_weyl_index': 252, 'centralizer': '154.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7.a1.a1', '7.b1.a1'], 'contains': ['98.a1.a1', '539.a1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7406, -1, 8327, -1, 7513, -1, 8082, -1], 'generators': [7, 196, 14], 'label': '2156.g.49.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '7.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '49.a1.a1', 'projective_image': '1078.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '49.a1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
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id: 60119870
{'ambient': '2156.g', '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': '154.a1.a1', 'complements': ['2156.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '7.a1.a1', '7.b1.a1', '11.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8020, 7220, 8535, 7771, 6588, 2400, 7259, 7498], 'generators': [7, 14, 616, 4, 196], 'label': '2156.g.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '7.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '154.3', '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': '154.3'}
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id: 60119871
{'ambient': '2156.g', 'aut_centralizer_order': 154, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '60.13', 'aut_weyl_index': 924, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['28.c1.b1', '98.a1.a1', '154.c1.b1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1746, -1, 1451, -1, 2508, -1, 2608, -1], 'generators': [14, 196, 1852], 'label': '2156.g.14.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '14.c1.b1', 'projective_image': '1078.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 60119872
{'ambient': '2156.g', 'aut_centralizer_order': 154, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '60.13', 'aut_weyl_index': 924, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['28.c1.c1', '98.a1.a1', '154.c1.c1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1746, -1, 5017, -1, 2508, -1, 3414, -1], 'generators': [14, 196, 620], 'label': '2156.g.14.c1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '14.c1.c1', 'projective_image': '1078.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 60119873
{'ambient': '2156.g', 'aut_centralizer_order': 1540, 'aut_label': '22.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '36.14', 'aut_weyl_index': 1540, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '154.a1.a1', '154.b1.a1', '154.c1.a1', '154.c1.b1', '154.c1.c1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6449, 3980, 7124, 5399, 5996, 6676, 6911, 1396], 'generators': [14, 616, 4], 'label': '2156.g.22.a1.a1', 'mobius_quo': -1, 'mobius_sub': 11, 'normal_closure': '22.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['44.a1.a1', '154.a1.a1', '154.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '22.a1.a1', 'projective_image': '154.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 60119874
{'ambient': '2156.g', 'aut_centralizer_order': 924, 'aut_label': '28.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '60.13', 'aut_weyl_index': 924, 'centralizer': '2.a1.a1', 'complements': ['77.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1'], 'contains': ['196.a1.a1', '308.a1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1200, 1133, 1893, 1546, 1324, 7609, 2483, 5938], 'generators': [4, 196], 'label': '2156.g.28.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1'], 'normal_contains': ['196.a1.a1', '308.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '308.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 60119875
{'ambient': '2156.g', 'aut_centralizer_order': 924, 'aut_label': '28.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '60.13', 'aut_weyl_index': 924, 'centralizer': '2.a1.a1', 'complements': ['77.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.b1.a1'], 'contains': ['196.a1.a1', '308.b1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2576, 8474, 4719, 8530, 2271, 884, 3214, 9326], 'generators': [616, 196], 'label': '2156.g.28.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '28.b1.a1', 'normal_contained_in': ['4.a1.a1', '14.b1.a1'], 'normal_contains': ['196.a1.a1', '308.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.b1.a1', 'projective_image': '2156.g', 'quotient_action_image': '2.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '28.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 60119876
{'ambient': '2156.g', 'aut_centralizer_order': 154, 'aut_label': '28.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '60.13', 'aut_weyl_index': 924, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.c1.a1'], 'contains': ['196.a1.a1', '308.c1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [341, -1, 940, -1, 377, -1, 1753, -1], 'generators': [1236, 196], 'label': '2156.g.28.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.c1.a1', 'projective_image': '2156.g', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 60119877
{'ambient': '2156.g', 'aut_centralizer_order': 154, 'aut_label': '28.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '60.13', 'aut_weyl_index': 924, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.c1.b1'], 'contains': ['196.a1.a1', '308.c1.b1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [341, -1, 242, -1, 377, -1, 291, -1], 'generators': [1852, 196], 'label': '2156.g.28.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.c1.b1', 'projective_image': '2156.g', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 60119878
{'ambient': '2156.g', 'aut_centralizer_order': 154, 'aut_label': '28.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '60.13', 'aut_weyl_index': 924, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.c1.c1'], 'contains': ['196.a1.a1', '308.c1.c1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [341, -1, 2577, -1, 377, -1, 1022, -1], 'generators': [620, 196], 'label': '2156.g.28.c1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.c1.c1', 'projective_image': '2156.g', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 60119879
{'ambient': '2156.g', 'aut_centralizer_order': 1540, 'aut_label': '44.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '36.14', 'aut_weyl_index': 1540, 'centralizer': '2.a1.a1', 'complements': ['49.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.a1.a1'], 'contains': ['308.a1.a1', '308.b1.a1', '308.c1.a1', '308.c1.b1', '308.c1.c1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3425, 5085, 3496, 4241, 3186, 5957, 3920, 2608], 'generators': [4, 616], 'label': '2156.g.44.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': ['4.a1.a1', '22.a1.a1'], 'normal_contains': ['308.a1.a1', '308.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '44.a1.a1', 'projective_image': '308.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '44.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 60119881
{'ambient': '2156.g', 'aut_centralizer_order': 154, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '360.162', 'aut_weyl_index': 154, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '14.a1.a1', '14.b1.a1', '14.c1.a1', '14.c1.b1', '14.c1.c1', '22.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4625, 5871, 5452, 7031, 3703, 3819, 4734, 6092], 'generators': [14, 616, 196, 4], 'label': '2156.g.2.a1.a1', 'mobius_quo': 1, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '14.a1.a1', '14.b1.a1', '22.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '154.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 60119882
{'ambient': '2156.g', 'aut_centralizer_order': 60, 'aut_label': '77.a1', 'aut_quo_index': None, 'aut_stab_index': 77, 'aut_weyl_group': '12.5', 'aut_weyl_index': 4620, 'centralizer': '77.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7.b1.a1', '11.a1.a1'], 'contains': ['154.a1.a1', '539.a1.a1'], 'core': '154.a1.a1', 'coset_action_label': None, 'count': 77, 'diagramx': [8781, -1, 9135, -1, 8633, -1, 8945, -1], 'generators': [7, 14, 4], 'label': '2156.g.77.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '77.a1.a1', 'old_label': '77.a1.a1', 'projective_image': '154.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '77.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 60119883
{'ambient': '2156.g', 'aut_centralizer_order': 60, 'aut_label': '77.b1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '84.7', 'aut_weyl_index': 660, 'centralizer': '154.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7.a1.a1', '11.a1.a1'], 'contains': ['154.b1.a1', '539.a1.a1'], 'core': '154.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [9659, -1, 9758, -1, 9602, -1, 9693, -1], 'generators': [7, 616, 14], 'label': '2156.g.77.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '7.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '77.b1.a1', 'projective_image': '1078.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '77.b1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
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id: 60119884
{'ambient': '2156.g', 'aut_centralizer_order': 5544, 'aut_label': '98.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 5544, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['14.a1.a1', '14.b1.a1', '14.c1.a1', '14.c1.b1', '14.c1.c1', '49.a1.a1'], 'contains': ['196.a1.a1', '1078.a1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4908, 5421, 5286, 4583, 5048, 4305, 5357, 7632], 'generators': [14, 196], 'label': '2156.g.98.a1.a1', 'mobius_quo': 1, 'mobius_sub': -7, 'normal_closure': '98.a1.a1', 'normal_contained_in': ['14.a1.a1', '14.b1.a1'], 'normal_contains': ['196.a1.a1', '1078.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '98.a1.a1', 'projective_image': '1078.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '49.2', 'quotient_action_kernel_order': 49, 'quotient_fusion': None, 'short_label': '98.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 60119885
{'ambient': '2156.g', 'aut_centralizer_order': 9240, 'aut_label': '154.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9240, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['14.a1.a1', '22.a1.a1', '77.a1.a1'], 'contains': ['308.a1.a1', '1078.a1.a1'], 'core': '154.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5523, 1845, 6730, 1813, 5996, 9320, 7550, 972], 'generators': [14, 4], 'label': '2156.g.154.a1.a1', 'mobius_quo': 1, 'mobius_sub': -77, 'normal_closure': '154.a1.a1', 'normal_contained_in': ['14.a1.a1', '22.a1.a1'], 'normal_contains': ['308.a1.a1', '1078.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '154.a1.a1', 'projective_image': '154.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '154.3', 'quotient_action_kernel_order': 154, 'quotient_fusion': None, 'short_label': '154.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 60119886
{'ambient': '2156.g', 'aut_centralizer_order': 9240, 'aut_label': '154.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9240, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['14.b1.a1', '22.a1.a1', '77.b1.a1'], 'contains': ['308.b1.a1', '1078.a1.a1'], 'core': '154.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7747, 8942, 8478, 7809, 6943, 2595, 8281, 4244], 'generators': [14, 616], 'label': '2156.g.154.b1.a1', 'mobius_quo': 1, 'mobius_sub': -11, 'normal_closure': '154.b1.a1', 'normal_contained_in': ['14.b1.a1', '22.a1.a1'], 'normal_contains': ['308.b1.a1', '1078.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '154.b1.a1', 'projective_image': '1078.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '77.1', 'quotient_action_kernel_order': 77, 'quotient_fusion': None, 'short_label': '154.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 60119887
{'ambient': '2156.g', 'aut_centralizer_order': 1540, 'aut_label': '154.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9240, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.c1.a1', '22.a1.a1'], 'contains': ['308.c1.a1', '1078.a1.a1'], 'core': '1078.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2566, -1, 4602, -1, 4101, -1, 6819, -1], 'generators': [14, 1236], 'label': '2156.g.154.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '154.c1.a1', 'projective_image': '1078.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '154.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 60119888
{'ambient': '2156.g', 'aut_centralizer_order': 1540, 'aut_label': '154.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9240, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.c1.b1', '22.a1.a1'], 'contains': ['308.c1.b1', '1078.a1.a1'], 'core': '1078.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2566, -1, 2943, -1, 4101, -1, 4626, -1], 'generators': [14, 1852], 'label': '2156.g.154.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '154.c1.b1', 'projective_image': '1078.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '154.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 60119889
{'ambient': '2156.g', 'aut_centralizer_order': 1540, 'aut_label': '154.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9240, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.c1.c1', '22.a1.a1'], 'contains': ['308.c1.c1', '1078.a1.a1'], 'core': '1078.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2566, -1, 6047, -1, 4101, -1, 6088, -1], 'generators': [14, 620], 'label': '2156.g.154.c1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '154.c1.c1', 'projective_image': '1078.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '154.c1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 60119890
{'ambient': '2156.g', 'aut_centralizer_order': 5544, 'aut_label': '196.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 5544, 'centralizer': '2.a1.a1', 'complements': ['11.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['28.a1.a1', '28.b1.a1', '28.c1.a1', '28.c1.b1', '28.c1.c1', '98.a1.a1'], 'contains': ['2156.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1336, 5628, 1195, 5646, 1905, 4266, 2243, 7363], 'generators': [196], 'label': '2156.g.196.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '196.a1.a1', 'normal_contained_in': ['28.a1.a1', '28.b1.a1', '98.a1.a1'], 'normal_contains': ['2156.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '196.a1.a1', 'projective_image': '2156.g', 'quotient_action_image': '2.1', 'quotient_action_kernel': '98.5', 'quotient_action_kernel_order': 98, 'quotient_fusion': None, 'short_label': '196.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 60119891
{'ambient': '2156.g', 'aut_centralizer_order': 9240, 'aut_label': '308.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9240, 'centralizer': '1.a1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['28.a1.a1', '44.a1.a1', '154.a1.a1'], 'contains': ['2156.a1.a1'], 'core': '308.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3229, 2631, 3172, 2248, 3541, 7415, 4701, 2724], 'generators': [4], 'label': '2156.g.308.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '308.a1.a1', 'normal_contained_in': ['28.a1.a1', '44.a1.a1', '154.a1.a1'], 'normal_contains': ['2156.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '308.a1.a1', 'projective_image': '308.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '308.3', 'quotient_action_kernel_order': 308, 'quotient_fusion': None, 'short_label': '308.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 60119892
{'ambient': '2156.g', 'aut_centralizer_order': 154, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '360.162', 'aut_weyl_index': 154, 'centralizer': '2.a1.a1', 'complements': ['539.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['28.a1.a1', '28.b1.a1', '28.c1.a1', '28.c1.b1', '28.c1.c1', '44.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2898, 5871, 3234, 4298, 1109, 3508, 1528, 6400], 'generators': [4, 196, 616], 'label': '2156.g.4.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['28.a1.a1', '28.b1.a1', '44.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '308.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 60119893
{'ambient': '2156.g', 'aut_centralizer_order': 9240, 'aut_label': '308.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9240, 'centralizer': '2.a1.a1', 'complements': ['7.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['28.b1.a1', '44.a1.a1', '154.b1.a1'], 'contains': ['2156.a1.a1'], 'core': '308.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4117, 9260, 4864, 8283, 4316, 2672, 5299, 5553], 'generators': [616], 'label': '2156.g.308.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '308.b1.a1', 'normal_contained_in': ['28.b1.a1', '44.a1.a1', '154.b1.a1'], 'normal_contains': ['2156.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '308.b1.a1', 'projective_image': '2156.g', 'quotient_action_image': '2.1', 'quotient_action_kernel': '154.4', 'quotient_action_kernel_order': 154, 'quotient_fusion': None, 'short_label': '308.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 60119894
{'ambient': '2156.g', 'aut_centralizer_order': 1540, 'aut_label': '308.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9240, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.c1.a1', '44.a1.a1', '154.c1.a1'], 'contains': ['2156.a1.a1'], 'core': '2156.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1951, -1, 2205, -1, 2766, -1, 4103, -1], 'generators': [1236], 'label': '2156.g.308.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '308.c1.a1', 'projective_image': '2156.g', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '308.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 60119895
{'ambient': '2156.g', 'aut_centralizer_order': 1540, 'aut_label': '308.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9240, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.c1.b1', '44.a1.a1', '154.c1.b1'], 'contains': ['2156.a1.a1'], 'core': '2156.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1951, -1, 1693, -1, 2766, -1, 2907, -1], 'generators': [1852], 'label': '2156.g.308.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '308.c1.b1', 'projective_image': '2156.g', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '308.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 60119896
{'ambient': '2156.g', 'aut_centralizer_order': 1540, 'aut_label': '308.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9240, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.c1.c1', '44.a1.a1', '154.c1.c1'], 'contains': ['2156.a1.a1'], 'core': '2156.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1951, -1, 3704, -1, 2766, -1, 3505, -1], 'generators': [620], 'label': '2156.g.308.c1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '308.c1.c1', 'projective_image': '2156.g', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '308.c1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 60119897
{'ambient': '2156.g', 'aut_centralizer_order': 360, 'aut_label': '539.a1', 'aut_quo_index': None, 'aut_stab_index': 77, 'aut_weyl_group': '2.1', 'aut_weyl_index': 27720, 'centralizer': '77.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['49.a1.a1', '77.a1.a1', '77.b1.a1'], 'contains': ['1078.a1.a1'], 'core': '1078.a1.a1', 'coset_action_label': None, 'count': 77, 'diagramx': [8781, -1, 9087, -1, 8213, -1, 8945, -1], 'generators': [7], 'label': '2156.g.539.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '7.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '77.a1.a1', 'old_label': '539.a1.a1', 'projective_image': '1078.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '539.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 60119898
{'ambient': '2156.g', 'aut_centralizer_order': 55440, 'aut_label': '1078.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 55440, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['98.a1.a1', '154.a1.a1', '154.b1.a1', '154.c1.a1', '154.c1.b1', '154.c1.c1', '539.a1.a1'], 'contains': ['2156.a1.a1'], 'core': '1078.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5210, 6733, 5569, 5589, 5522, 5821, 6454, 4167], 'generators': [14], 'label': '2156.g.1078.a1.a1', 'mobius_quo': -1, 'mobius_sub': 77, 'normal_closure': '1078.a1.a1', 'normal_contained_in': ['98.a1.a1', '154.a1.a1', '154.b1.a1'], 'normal_contains': ['2156.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1078.a1.a1', 'projective_image': '1078.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '1078.7', 'quotient_action_kernel_order': 1078, 'quotient_fusion': None, 'short_label': '1078.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 60119899
{'ambient': '2156.g', 'aut_centralizer_order': None, 'aut_label': '2156.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': ['196.a1.a1', '308.a1.a1', '308.b1.a1', '308.c1.a1', '308.c1.b1', '308.c1.c1', '1078.a1.a1'], 'contains': [], 'core': '2156.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2322, 6152, 2405, 6727, 3541, 5044, 4103, 4860], 'generators': [], 'label': '2156.g.2156.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '2156.a1.a1', 'normal_contained_in': ['196.a1.a1', '308.a1.a1', '308.b1.a1', '1078.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '2156.a1.a1', 'projective_image': '2156.g', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2156.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 60119900
{'ambient': '2156.g', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '154.a1.a1', 'complements': ['308.a1.a1', '308.c1.c1', '308.c1.a1', '308.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.b1.a1', '49.a1.a1', '77.b1.a1'], 'core': '7.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8781, 9242, 8872, 9251, 7438, 982, 7915, 8903], 'generators': [7, 616, 196, 14], 'label': '2156.g.7.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '7.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['14.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '1078.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '154.3'}
-
id: 60119901
{'ambient': '2156.g', 'aut_centralizer_order': 6, 'aut_label': '7.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '1320.144', 'aut_weyl_index': 42, 'centralizer': '154.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '49.a1.a1', '77.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7249, -1, 7788, -1, 5748, -1, 6612, -1], 'generators': [7, 14, 196, 4], 'label': '2156.g.7.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '7.b1.a1', 'projective_image': '154.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.b1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
-
id: 60119902
{'ambient': '2156.g', 'aut_centralizer_order': 10, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '504.178', 'aut_weyl_index': 110, 'centralizer': '154.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['22.a1.a1', '77.a1.a1', '77.b1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [9542, -1, 9537, -1, 8977, -1, 9103, -1], 'generators': [7, 14, 616, 4], 'label': '2156.g.11.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '11.a1.a1', 'projective_image': '154.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
-
id: 60119903
{'ambient': '2156.g', 'aut_centralizer_order': 924, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '60.13', 'aut_weyl_index': 924, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.b1.a1'], 'contains': ['28.a1.a1', '98.a1.a1', '154.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4507, 740, 5688, 749, 3552, 9203, 5025, 3898], 'generators': [14, 196, 4], 'label': '2156.g.14.a1.a1', 'mobius_quo': -1, 'mobius_sub': 7, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['28.a1.a1', '98.a1.a1', '154.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '154.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 60119904
{'ambient': '2156.g', 'aut_centralizer_order': 924, 'aut_label': '14.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '60.13', 'aut_weyl_index': 924, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '98.a1.a1', '154.b1.a1'], 'core': '14.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5454, 8474, 6358, 8758, 4596, 982, 5831, 8903], 'generators': [14, 196, 616], 'label': '2156.g.14.b1.a1', 'mobius_quo': -1, 'mobius_sub': 1, 'normal_closure': '14.b1.a1', 'normal_contained_in': ['2.a1.a1', '7.a1.a1'], 'normal_contains': ['28.b1.a1', '98.a1.a1', '154.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.b1.a1', 'projective_image': '1078.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '14.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 60119905
{'ambient': '2156.g', 'aut_centralizer_order': 154, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '60.13', 'aut_weyl_index': 924, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['28.c1.a1', '98.a1.a1', '154.c1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1746, -1, 4050, -1, 2508, -1, 4219, -1], 'generators': [14, 196, 1236], 'label': '2156.g.14.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '14.c1.a1', 'projective_image': '1078.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
